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Credo and Evidences

At below, we will point out the shallowest ( however maybe the most persuasive ) aspect of the holistic system Akazukin Chacha shows by itself. We will use temporal symbols / names like 十色, 法系, 生剋... etc.. Since our task is focused on the relations links between the context inside Akazukin Chacha itself, those names / symbols we use are irrelevant. However for preventing the wild language-prejudices or language-associates, we keep using these somewhat "estranged" names / symbols.

This "system" absolutely won't produce whatever results one wants, unlike those Gematria-ish things, at below one can see we:

  • When translating between Characters-Elements ( Shiine-日; Orin-風; Marin-木 ...etc ) on "official displays" ( art on covers / Mahoujin formations ... etc. ), we always use FA. And will never mix up FA and SA ( in one formation / arrangement ) to "fit" the thing we want.
  • When translating colors to the 十色 symbols. We use 表色 if there's no special reasons. And will never mix up 表色 and 真色 to fit something.
  • If the formation / assignment is indirect, we always have things like "unique solution" or "rules of numbers" to support it. ( and later it must be supported by official displays themselves )
  • And so on.

We will construct our system bases on these "official displays". It does not imply that: those "official displays" were "made" to hide / bury some sort of riddles. When we pick up those displays like CD2 poster's "horizontal pairs" and Ep. 27~Ep.30 "4 stages pairs", and point out the connection between them, we just do that for these two is more unambiguous and more convenient. Indeed, every display in Akazukin Chacha shares ONE mechanism ( this is the true uniqueness of it ), it does not depend on whatever part we choice from it. That's why we can choice them just for convenience. We believe all these displays themselves are a part / surficial things of the more inner, wider system.

We believe the linkages / harmony relations on this shallowest level, indicated to the larger, delicater essence of Akazukin Chacha itself. No any other can ever be like this as Akazukin Chacha itself ( whether intended or not ). It's the true uniqueness of Akazukin Chacha itself.

The Outstanding Uniqueness of Akazukin Chacha

Zilitt

The "background colors" from ED3, we can see everyone's backcolor is the sum of other two characters' colors ( Original Chacha-R; Riiya-G; Shiine-B, by the Optical law). Also it's a representation of the link-by-opposite-position law of Akazukin Chacha itself.

In the Meaning of 8 Stages Article, we already see the Elements-Number system does exist in Akazukin Chacha, we can proof it by the symmetrical / numeric relations which Akazukin Chacha has shown by itself.

Those "Elements" are 月-火-日-水-風-土-木-(人), unlike Sailor Moon or other things who also uses these "Elements" and put those "attributes" in some random obvious places, which seems pretentious and childish,

the element-attribute-features ( +,-,0; Positive-Negative-Neutral )-Chara system is the inner working mechanism which "produces" all the things Akazukin Chacha had shown.

This "working system" can be proofed by or referred to the Chinese astrology (WuXing, YinYang, Elements-Colors-CardinalDirections-Seasons relation chain ) and the I-Ching / eight-gua system and the western one ( Chaldean order .etc ).

(Note. That does not mean that: we want to borrow some "occult" or "mysterious" properties from those things, we merely refer to their basic mathematical properties to ensure the arrangements of Akazukin Chacha itself)

Those laws within Akazukin Chacha itself, can be understood by any rational, patient people who does not have prejudices like Akazukin Chacha is a "show for kids" and so on.

Akazukin Chacha does have incomparable perfectness like this, because of its uniqueness. If anyone still feels hard to believe, we will enumerate the evidences below.

The Element Number

7ren

The pic above is from Ep. 50, when Chacha enumerated names of these 7 charas to her parents, the order of charas is:

セ-リ-し-ど-お-や-マ
( This line in English: but Seravi-sensei, Riiya, Shiine-chan, Dorothy-chan, Orin-chan, Yakko-chan, Marin-chan, they all give me the strength to go on...@Groupe Virelai )

This is the only one time that the names of these 7 charas are mentioned in the same time.

We give this chain numbers, then we have:

セ-リ-し-ど-お-や-マ
1-2-3-4-5-6-7
This order represents someone is "close" to Chacha or not, like Seravi, Shiine, Riiya are close or friendly to Chacha, so they are on the head of this sequence, Yakko, Marin are rivals / not friendly to Chacha, so they are on tail of this sequence.

That's said, these "order" or "numbers" are not alien / meaningless thing to Akazukin Chacha's "plot" ( the plot which can be easily seen by everyone ).

Translate Charas to their attributes (by the First Association ), we have:

月-火-日-水-風-土-木
1-2-3-4-5-6-7
Put these numbers back to Mahoujin, we have:

            1
!
! 
    4                6           
!   
! 
!   
!   
!   
!   
!   
  5                      7
!  
! 
!     
!  
! 
        3          2

We will know this Number-Mahoujin combined form is a counter-wise-spined form of Luo-Shu soon. And its cubic form represents the ascending-descending chains of either A-Circle form or B-Circle form.

Before that, Let us see the evidences about the linkage between Akazukin Chacha and the I-Ching things from ancient China.

A-B Circle and the 先天-後天 Baqua (八卦)

Baqi

In the 8 Stages article, we explained the A-Circle ( shown in Ep.48 and Ep. 50 ) and the B-Circle (constructed by SP-chain and ATE-chain).

And by these two circles we have both A in B and B in A patterns. These two patterns are not some ordinary random-combinations, by referring them to the 八卦 ( Baqua, the eight symbols formation ) system form ancient China, We can see they have exactly the same patterns.

A in B is same as 後天(KingWen) ring-order in 先天(FuXi) formation, and B in A is same as 先天 ring-order in 後天 formation.

Now if we omit that inordinary Qian

( Qian (乾 ) is the leader of the other 7 Quas, see the wikipedia article. ), and remove the line between 乾 and 兌 ( as the X mark in the pic), we can see that their pattern is exactly identical to the Mahoujin one.

The Tri-pole

Shiinerun

CD2 backcover

In CD2 backcover, we can see the 3 ( 4, omit the wolf-form Riiya ) characters on the left side, they are:

Riiya, Orin, Seravi

Translate them to Elements by First Association, we have:

火-風-月
We call these three Elements the 三極 ( Tri-pole ).

We can see these three form an isosceles triangle on the Mahoujin / A-Circle formation.

Also, we can see these three contain all three features - Positive, Neutral, Negative -

and in Yin ( Negative ) group, Seravi is the strongest among Magical Power ( 法力 ) ranking, Dorothy is the second, Marin is the weakest;

in Yang ( Positive ) group, Riiya is the strongest among Physical Power ( 物理力 ) ranking, Yakko is the second ( anime ver., like the チェストー things had hinted ), Shiine is the weakest;

in Neutral group, Orin the strongest since she is the only member of the ( Mhoujin's rim's ) Neutral group.

So we can see now that each member of 三極 is the strongest among his own 陰陽和 ( pos / neu / neg ) group.

Another interesting thing is, if we build an Numeric Magic cube by the Element Numbers we explained before, we have:

Cyba

( by now, we set the number of Chacha / 人 Element to 8, we will know Chacha / 人 is both 0 and 8 ( the beginning and the end ) on the same time, in future )

The four numbers on each face sums to 18, it is one out of the only two solutions of Numeric Magic cube ( with members from 1 to 8 ).

Now we can see the three which links to 8 ( Chacha ) is 1, 2, 5 (Seravi, Riiya, Orin), they are just the members of 三極 we defined ( by CD2's backcover) above.

Traditional CardinalDirections-Elements Association and the Cube

In Chinese / Japanese tradition, they assigned the four corners and the center of space to WuXing / 五行 (東が木南が火西が金北が水中央が土となります。)

In folk tradition or Taoism, they do link the directions-Elements directly, see 淮南子(東方,木也; 南方,火也.. etc).

淮南子 is from 139 BC., Han Dynasty.

Therefore we have:

 N    水
WCE  金土木
 S    火
(N=North; E=East...etc. C is center)

We expand this system to 7+1 Directions system. We set the Element 日 to 仰 ( look up ) or 上 (above);

Element 月 to 俯( look down ) or 下 ( below ), like the real positions of Sun and Moon during a day;

And an additional Direction 遍 ( Omnipresence? ) is assigned to 人.

Now, we translate the Charas on the Magic cube which we explained above, to Elements by First Association, we have this pic:

Kol3

The 金 in tradition, is 風 in Akazukin Chacha (see 8 stages article).

We can see the four Space Diagonals ( let each edge of the cube = 1, then that diagonal = sqrt(3) ), their both ends are all opposite directions, like 東西(East-West), 南北(South-North), 上下 (above-below), 中遍( center, minimum / point-universal, maximum / filling ).

And the 東西南北上下 positions is identical to the real-world one. The 中-遍 line also penetrate the cross point of 南北 and 東西 (like in real-world).

3 Circles Built form the Cube

Cyba22

These three circles are:

I. A-Circle / Proto-Circle (正-七陣) : Shown in Ep. 48, Ep. 50.
II. Breed-and-Destruct (生剋) Circle or Magic-Type(法系) Circle (生剋-七陣 or 法系-七陣) : In A-circle, move Yakko to the position between Riiya and Shiine.
we call it Breed-and-Destruct because its ring-order and star-order is same as the traditional Wuxing's 生剋.
III. Sensei-Circle (先生-七陣) : Built from the "six colors" + 日 (central red) on CD4 cover (the background picture of this web page), or the six UraGaku' teachers + P-suke on CD4 backcover.
Now we explain the linkage between these three and the cube:

We now divide heptagon-center formations into 4 parts:

A-part: The center and one of the positions on the heptagon-rim.

B-part:The two near-by positions behind A-part.

Now image one stands on the center ( a position of A-part ) and face the another position of A-part.

K-part: The two near-by positions on the right-hand side.

Y-part: The two near-by positions one the left-hand side.

Cubr

If we draw all these 3 circles ( 正, 先生, 生剋 ) A, B, K, Y parts on the cube, we have the pic below:

Red lines are the A-parts from 3-circles.

Dark red lines are the B-parts from 3-circles.

Blue lines are the K-parts from 3-circles.

Green lines are the Y-parts from 3-circles.

We can see in the cube, red-line part is same as the dark-red-line part; Blue-line part and Green-line part is mirroring each other.

In the Number-Cube, the 4 vertical ( Z axis ) links: 4-1; 5-8; 3-2; 6-7, which is Dorothy-Seravi; Orin-Chacha; Shiine-Riiya; Yakko-Marin.

We can see the DS, SR, YM lines are all nearby-position in Mahoujin / A-circle, Orin-Chacha is the A-part, and Orin is one of the 三極.

The second circle, which build by the 4 horizontal ( X axis ) links of the cube, relates to the CD4 6 backcolor, also the 6+1 UraraGakuen Charas, like, 土-水 (Yoshiko-Oyuki) is nearby; 月-木 (Urara-Barabaraman) is circular-nearby; just as the 6 teachers chain on CD4 backcover. The 火( Riiya / Rascal ) which links to center is also an member of 三極.

We will know the 先生七陣 ( CD4 color / senseis circle) is the contingent result of the Element-ascending (上衍) law ( of A-type circle ) in Akazukin Chacha soon. You can try to link all the opposite elements (水火-日月-天地(風土)) lines in both two heptagons, and compare them.

The third circle, which build by the 4 Y axis links of the cube.

In the A-circle / Mahoujin, if we move 土 ( Yakko ) to the position between 日 and 火 (Shiine and Riiya), then we will get the same formation as the third circle. We will know it represents the law of 生剋 soon. See the part 法系 below.

Again, in the third circle, the one ( 月 ) links to the center, is an member of 三極.

4 吉 ( Good Omen ) and 4 凶 ( Bad Omen ) on the "Mural" of Mahoujin

K5)

8 mural pictures

In Ep 48, it shows 8 "mural" pictures above the Mahoujin. And the central mural picture represents the 8 main characters.

We can see every rim-mural-picture is in the middle of two characters, and on its opposite side is also one character,

like, the one in the opposite-side of the rim-picture which shows a bird / phoenix, is Dorothy ( the small figure with magenta coat ),

who on the opposite side of the rim-picture which shows mountains, is Yakko.
Chanazo461

The "mural" people formation is identical to the A-type / Ep.50 mahoujin formation Ninja with Shuriken = Orin; Beast-skin-Mantle one = Riiya; The one with a Trident like Neptune = Marin; The one with a (drug) bottle = Yakko ...etc First explain by TSN / Ucchan@赤ずきんチャチャ広場, Japan

     Thus we have this list:     

Opposite-side-chara Picture

Xiang (象)

Meaning of 象

Seravi People in a wide / empty field emptiness, desolate
Riiya 3 devils marching pawns, ignoble people
Shiine A ( god-like ) leader with army. God of Good
Dorothy Fushichou carry the three people leading, bringing to...
Orin The devil king attacks God of Evil
Yakko Perilous mountains with thick mist dangerous, lost the way easily
Marin Bright sun above castles well governed
Chacha The Mahoujin the alignment ( with noble people )

Xiang (象) is an Oriental concept, which can also represents 吉( good ) or 凶 ( bad ).

We define the 寂,卒,荒,魔 as 凶; 治,陣,導,仙 as 吉

....editing...

The Relationship Circle (友誼鏈)

Neu

友誼鏈

The simplest thing we can see in the Mahoujin, is the "relationships of characters" it represented, however, some "nearby positions" seems like does not represent the relationship ( indeed, those represent the deeper / "inner" or numeric relations ). Like, Dorothy and Orin barely talk to each other, but they are on the nearby position on Mahoujin.

We try to make a "relationship circle", which can make every two nearby Charas related, like this pic:

The circle is:

Chacha<->Riiya = lovers ( 恋人 );
Riiya<-Marin = ( half ) lovers, same as the Mahoujin;
Marin-Yakko = pair / friends (?), same as the Mahoujin;
Yakko-Orin = friends ( 親友 ) , like in Ep.60 and Ep.74.
Orin->Shiine = ( half ) lovers, same as the Mahoujin;
Shiine-Dorothy = teacher-and-student. ( 師弟 );
Dorothy-Seravi = lovers, same as the Mahoujin;
Seravi-Chacha = teacher-and-student.
Also, the "red cross" (Seravi-Yakko; Shiine-Riiya) also represent the relationships.

Rigu

This circle may have been hinted in Ep. 50, if we reverse the order of the 3 pictures of the 3 groups ( the 3 groups when saying the final "WingKris (チ) Burning (し,リ,お,マ) Flash (ど,セ,や) "), like the pic:

We regard this formation as a circle ( split the middle picture vertically), we have:

ど-セ-や
し  リ
お  マ
 チ
Now exchange Chacha and Yakko, we have:
ど-セ-チ
し  リ
お  マ
 や
We can see this is exactly identical to the "relationship circle" we made. The "exchange" method we used above, will be explained in the future.

Syoscrmd

Ep.50's beginning shows Dorothy nearby Marin

Now we assume the remained two diagonals, チ-お and マ-ど, are also "friend" ( or "related"). The Chacha-Orin one can be supported by Ep. 18 and others; the Marin-Dorothy one can be supported by Ep. 74.

Then we can see all these 8 charas by his/her own position, the two "nearby"s and the opposite side one ( hence in a "T" shaped path ) are all related.

Thus the circular chara-chain now is the unique solution in this "related in T-shaped path" rule, other possible chains like やおチセどしリマや or セどマやおしリチセ ... etc. ( 8 others ) does not make all in-T-shaped-path-ones related.

This T-shaped path also relates back to the Ep. 50 "three groups" above. ( the middle 4 people are split into 2-2 vertically, the other two groups forms a T-shape )

Relationship Circle and the 吉凶

Jin2

鳳 in this pic (old version) is 導

With the (Opposite-side) Chara-Xiang association we explained above, we can translate the "Relationship circle" to Xiang-circle, which is:

導寂陣
仙 卒
魔荒治
Replace every Xiang with its own 吉 or 凶, we have:
吉凶吉
吉 凶
凶凶吉
Regard this formation as an octagon, we can see the two quadrangles which contains all four 吉 or all four 凶, are identical.



Now we make the 吉 quadrangle ( green one on the pic ) coincide with the 凶 quadrangle ( purple one on the pic ) , then the four pairs of two overlapped vertices are:

仙-魔 ( Shiine-Orin )
導-荒 ( Dorothy-Yakko )
陣-卒 ( Chacha-Riiya )
治-寂 ( Marin-Seravi )
We can see these pairs are opposite-by-meaning, like 仙-魔 ( Good or Evil );
導-荒 ( be leaded / helped or lost the way / in dangerous )
Kol3

reminder

陣-卒 ( noble people or foul people / 君子 or 小人 )
治-寂 ( prosperous or desolate)
These opposite-by-meaning relation shows in many cases in Akazukin Chacha, like the Numeric Magic Cube we explained above,



Those opposite-by-meaning pairs are all horizontal lines on the cube.

Ascending-Descending Series of Circles

By now we have introduced two circles from Akazukin Chacha itself: A-type Circle ( from Ep.48 and 50) and B-type Circle ( constructed by SP and ATE chain). And by common sense, or the formation CD2 cover has shown, we have the opposite-in-one-category relations of Elements, which are:

Sun and Moon ( 日月 ) are opposite in the category of Celestial beings.

Fire and Water ( 火水 ) are opposite in the category of Energy.

Heaven and Earth ( 天地 or 風土(wind and earth) ) are opposite in the category of Space.

Also 人木 ( Human and Plant ) are opposite in the category of Life.

And we can see 日月 is more the divine / pure beings in western ( Greek / Platonian ) or Chinese tradition ( in Chinese), and 天地 is more the material / impure beings ( in Chinese ), 水火 is on the middle of 清-濁.

So we have this chart:

  ←divine (清) ——   ——material (濁)→
日月         水火          天地(風土)
We call from 清 to 濁 the "descending", and from 濁 to 清 the "ascending". This relation is circular, so the ascending of 日月 ( the purest pair ) is 天地 ( the impurest pair ); the descending of 天地 ( the impurest pair ) is 日月 ( the purest pair ).

Jingguieng2o

Those red segments are the linking lines of 風土 (天地), 水火, 日月

Now we review the A-type and B-type Circle, like the pic:

We can see in the B-type, those opposite-in-one-category pairs do not cross each other ( we call it "parallel" ), and in the A-type, those pairs' lines are all crossed over (we call it "crossing" ). "Parallel" and "Crossing" is the basic form of all 6 ascending-descending circle series.

Now we define the "upper" and "lower" in one pair:

In 日月 pair, 日 is the upper; 月 is the lower.

in 水火 pair, 火 is the upper; 水 is the lower.

in 風土 ( 天地 ) pair, 天(風) is the upper, 地(土) is the lower.

Two Other Circles

First circle is from the CD4 cover "6 backcolors + central red", as we explained before, regard the 6 backcolors as an "U" shape, then make this "U" to straight line, which produces:

(light blue)-(light yellow)-(purple)-(?)-(orange)-(green)-(pink)
translate those colors with the "glowing lights" of Charas, then replace the Charas with their attribute ( by FA ), we have:
月-土-水-(?)-風-火-木
If we set the middle (?) to 日 (Sun), then the 7 color regions on CD4 cover can represent all 7 rim-elements. And the middle red circle can really symbolize Sun ( by common sense ) . As we have explained, this 月-土-水-(日)-風-火-木 order represents the attributes of 6 teachers on the CD4 backcover. So the (日) must relate to someone relates to UraraGakuen, we will know that one is Psuke ( P助 ) soon. (like Ep.66 or OVAs, Psuke do more close to UraraGakuen).

Now we make this 月-土-水-(日)-風-火-木 chain into a Circle ( clock-wise spin ), we have:

            風
!
! 
    日                火           
!   
! 
!   
!   
!   
!   
!   
  水                      木
!  
! 
!     
!  
! 
        土          月
Jg003

The back cover of CD4 and the vertical link of SP-ATE ( regard the attributes of the lower ( Senseis ) and P-suke as the " environment " of a stage, the upper 8 MCs as the special one of of that stage )

We have seen this circle in the Numeric Cube part. This circle can also be built by the horizontal / X axis pairs of the Cube.

We made the 木 on the same position of ( A-type's ) 木 in A-type circle; we call this Circle the Sensei-Circle ( SS-circle. 先生七陣 ).

Now we can see this SS-circle is one of the "Crossing" circle ( you can test it by link those 日-月; 水-火; 風-土 together on this SS-circle).

The second circle is from the order of all 3 OPs, like the pic:

We can see this order is:

Riiya-Shiine-Marin-Orin-Dorothy-Seravi-Yakko    ( the Dorothy-Seravi-Yakko overlapped relation is divided by OP1,2's DS-Y and OP3's D-SY )

Translate this order to Elements by the First association, we have:

火-日-木-風-水-月-土

Make this chain into a circle ( clock-wise spin ), we have:

            火
!
! 
    土                日           
!   
! 
!   
!   
!   
!   
!   
  月                      木
!  
! 
!     
!  
! 
        水          風

We made the 木 on the same position of 木 on A-type circle; we call this Circle the OP-Circle ( OP七陣 ).

OP-Circle is also one of the "Crossing" circle.

Lebig44

Now as this pic, we can clearly see the ascending circle of A-type ( 正-七陣 ) is the SS-Circle (先生-七陣); and the descending circle of 正七陣 is the OP-Circle (OP-七陣).

That's said all of these "orders" Akazukin Chacha has shown, are exactly rooted in a large, harmonious system.

These "orders" itself, is not alien or meaningless thing to Akazukin Chacha itself. We can see they represent "love" / "hate" or "rival" relations of characters.

And that's said these "love" / "hate" or "rival" relations in Akazukin Chacha itself. are also from a large, harmonious system..

B-type's Ascending-Descending

B-type circle also shows two ascending-descending circles which relate to Akazukin Chacha.

As the pic above, we can see that A-type's exchanges of upper-lower in one pair, are totally opposite to B-type's exchages. ...editing...

歸元-七陣, the descending-circle of B-type circle, is related to the "Element numbers" we explained above, and the "Luo-Shu" square we made from those numbers,

This circle is:

            日
!
! 
    水                風           
!   
! 
!   
!   
!   
!   
!   
  火                      土
!  
! 
!     
!  
! 
        月          木
Htpp

With 日-Shiine; 木-Marin.. etc. associations ( First Association ), we can translate this circle to Characters. With this circle of Characters, we can translate it again to the Character's numbers ( shows in Ep.50 ), which is Seravi = 1; Dorothy = 4.. .etc. Then we have the pic on the right:

We can see it's almost a circle of natural number-order, despite 3 and 4. This "Exchange of 4 and 3" is not an "error" or "mistake", we can see it also shows up in the Mahoujin ( Ep.48 and 50 ) itself.

Firstly, we review the Number-Mahoujin circle we explained in the beginning:

Yinyanghe
            1
!
! 
    4                6           
!   
! 
!   
!   
!   
!   
!   
  5                      7
!  
! 
!     
!  
! 
        3          2

In Mahoujin, we can almost say that Orin is the Symmetrical axis, like in Ep. 48, if we omit Chacha ( who's not on the rim ), then we can see that the 3rd group ( Orin-Marin-Yakko ) is the symmetrical axis between 1st group ( Riiya-Shiine ) and 2nd group ( Seravi-Dorothy ). And Orin is the middle of 3rd group ( by Mahoujin formation ).

This is one of the reasons that we say Orin is the "symmetrical" / neutral one.

Lo-z

reminder

Back to the Number-Mahoujin circle, in CD4 backcover, we have seen a formation almost identical to the Mahoujin. In that formation, Chacha is between Riiya and Shiine.

If we want to make a LuoShu-3x3magic-square out of Mahoujin formation, we must put 8 and 9 into the formation, thus we need two more positions.

As we can see, one position is between Riiya and Shiine, where CD4 back cover Chacha inserted into. The other position, we assume that it's symmetrical to the other position, by the axis of Orin.

We mark these two positions X and Y, then we have this formation:

            1
!
!       X
    4                6           
!   
! 
!   
!   
!   
!   
!   
  5                      7
!  
! 
!     
!  
! 
        3    Y     2

In this formation, we can see X and Y is mirroring by the axis of 5 ( Orin's number ), and Y is just the position of Chacha on CD4 backcover, which is between Riiya ( =2 ) and Shiine ( =3 )..

We make Chacha's position ( Y ) a Yang Number and the other positon ( X ) the Yin Number. In Chinese / Japanese tradition, Odd-numbers are Yang, and Yang represents "bright" attitudes like integrity, upright; Even-numbers are Yin, and Yin represents "gloomy" attitudes like sly, insidious.

E7e1cefc1e178a8204929109f303738da877e831

We will explain this X and Y position again with the "ten-colors" (十色) system like the pic. By now, we set the Y ( Chacha's postion ) to Odd-Yang number 9, and the X to the Even-Yin number 8, then we have:

            1
!
!       8
    4                6           
!   
! 
!   
!   
!   
!   
!   
  5                      7
!  
! 
!     
!  
! 
        3    9     2


Finally, we push the 5 ( Orin ) to the center, and exchange 3 and 4 ( like the 歸元-七陣, the Descending of B-type circle, has shown ), then we have:

            1
!
!       8
    3                6           
!   
! 
!   
!   
!   
!           5 
!   
                         7
!  
! 
!     
!  
! 
        4    9     2

Obviously, this formation is identical to:

816
357
492
(All the Col. and Row in this square sums to 15)

This formation is just the horizontally-mirrored LuoShu.

That's said, this "exchange of 3 and 4" shows up in Akazukin Chacha itself repeatedly, not some random "error" or "mistake".


S-七陣 is from Sqylogin's "Akazukin Chacha RolePlaying" fanfic ( The website holder who had greatly contributed to Akazukin Chacha, Yanchuu, had translated ACCRP to Japanese ), the order of "9 Elementials" shows up.

...editing...

The Magic-Genre ( 法系 ) Circle

This circle is almost identical to the A-circle, despite Yakko (土) is moved to the position between Riiya and Shiine.

It's also the 生剋-七陣 we explained before by the Numeral-Magic-Cube.
            や
!
! 
    リ                し           
!   
! 
!   
!   
!   
!   
!   
  マ                      お
!  
! 
!     
!  
! 
        セ          ど

Now start with Marin, the ( wider ) hetagram-path of this circle is:

Marin-Yakko-Orin-Seravi-Riiya-Shiine-Dorothy
(マやおセリしど)

We associate the 8 main characters with their "professed" magic-genre ( type of magic). Ep. 50 ( when the 7 charas attack Evil Lord ) is our major reference of these associations.

Marin: Uses "magic-stick" to perform magic, and its results are limited to Ocean-related things.

We call this type 具系 ( Depends on magical items, limited results ).

Yakko: Uses drugs, we call this type 物系 ( drug-related type ).

Orin: Uses Momonga Ninbou ( 桃ん賀忍法 ), we call this type 法系 ( Ninbou type ).

Seravi: Only uses "Attack" magic in Ep. 50, we call this type 撃系 ( Attack type ).

Riiya: Cannot use magic, we call this type 理系 ( physical (attack) type ).

Shiine: Often uses "transformation" magic, like in OP1, Ep.7, Ep.30, Ep.69, Ep. 74 , etc,

We call this type 身系 ( transformation type ).

Dorothy: Only uses "Summon" magic in Ep. 50, we call this 喚系 ( conjure type ).

Chacha: Not an ordinary one, we call Chacha's type 器系 ( uses legendary items )

The shorten of this 7 types ( 8 types minus Chacha's ) is:

道-薬-忍-攻-物-変-召

Also in Ep. 54, the 3 students in Banana Section, Ossu, Cheetah, Mary , also represent 3 type of magic, we explain it below:

Ossu: Head transformation, thus his type represents the type of 身系.

Cheetah: Summoning ( and did not be implied that it has limitation ), thus his type represents the type of 喚系.

Mary: Uses stick, and its result is limited to 手品 ( Dejina ) things ( said by herself ). Just like Marin uses stick and has limited results. We assume her type represents the type of 具系.

In this episode, ブキード ( bukiido ) gave Ossu number 6, and Cheetah number 7. We assume this is serial, Mary shows up after Cheetah, so her number must after 7.

We assume there's total "7" types of common Magic type ( Chacha's is uncommon type ), and assume this "serial" is circular ( thus the starting is next to the end ). Therefore Mary, the one next to Cheetah ( 7, biggest number ) should be 1 ( smallest number ).

Thus the chain is:
Mary ( 1 ) -- ? ( 2 ) -- ? ( 3 ) -- ? ( 4 ) -- ? ( 5 ) -- Ossu ( 6 ) -- Cheetah ( 7 )
Translate this to their genre, that is:
道-?-?-?-?-変-召 (法系, type of magic)
1-2-3-4-5-6-7 (法系数, order / Numbers of type of magic)
How can we fill up those question marked positions? In Ep. 54, we can see Marin and Yakko are the challengers after Mary ( whose type is 道 ). Since Marin's type is also 道 as Mary's, we can assume the Magic-Genre after 道 is 薬, Yakko's type. Thus this chain become:
道-薬-?-?-?-変-召
1-2-3-4-5-6-7
By those hints, we can almost see this chain is just the ( wider ) heptagram-path of the 法系 circle we explained above. We make this chain as the wider-heptagram-path of 法系 circle, we will test this in many ways in the future. Now this chain is:
道-薬-忍-攻-物-変-召
1-2-3-4-5-6-7
The final step, we make this chain a circle, and insert that uncommon Chacha's type. 器, into the position between 道 and 召 ( the beginning and the end ). Thus we have this circle:
変召器
物 道
攻忍薬
This circle has a lot of mysterious properties, firstly, we translate the 法系 to Charas ( like 変=Shiine; 召=Dorothy... etc. ), then translate again the Charas to his numbers ( the Element Numbers ,like Shiine = 3, Dorothy = 4... etc., Chacha, the inordinary one, is set to 8 ). We have this Number-法系 circle:
348
2 7
156
Kol2

器 in this picture is 道 in this article, 寶 in this picture is 器 in this article

we can see this is a recycling circle of numbers. Each pair of antipode-numbers, like 1 and 8; 5 and 4; 6 and 3; 7 and 2, sums to 9. It's just like the 先天 ( 伏羲 / FuXi ) binary numbers . We call these 4 pairs the Complementary pairs of Element Numbers.

Second, we can see these numbers related to both the Relationship Circle and the Numeric Magic Cube.

In the Cube, we can see the 4 Element Number Complementary Pairs are all on the back-front horizontal lines.

As for the relation between the Element Number and the Magic Type Number, we can explain it like the chart below:

M-E

In the chart, first col is (器)-道-薬-忍-攻-物-変-召-(器) ( equal to 人-木-土-風-月-火-日-水-(人) ), the circular-法系數 order; every row is ( Chacha8 )-Seravi1-Riiya2-Shiine3-Dorothy4-Orin5-Yakko6-Marin7-( Chacha8 ) ( equal to 人-月-火-日-水-風-土-木-(人) ), the circular-Element-Number order.

Now we can see as the red marks shows, all elements form the same "T" patterns on the chart ( while expand this chart X axis and Y axis to infinite ).

Also in 法系 circle, the 4 吉-凶 pairs we explained before:

Jin2

reminder

仙-魔 ( Good or Evil );

導-荒 ( be leaded / helped or lost the way / in dangerous )

陣-卒 ( noble people or foul people / 君子 or 小人 )

治-寂 ( prosperous or desolate)

Their linkage lines form a 井 pattern on the 法系 circle.

...editing...

Seito

器 in this picture is 道 in this article, 寶 in this picture is 器 in this article

Third, with is circle, we can find out the attributes of all members of Banana Class legitimately.

First, we define the the "main member" of all 3 tables ( 5 members per table ), In the 1st and 2nd table ( two front table, as them marked on the pic ), we define that the member who touch the greens line as the pic, is the main member. Thus 1st table's main is Ossu; 2nd table's main is Kasumi. And we define 3rd table's main is Chacha.

We write down 3 table's formation and make the main of each table on the bottom position. Then we have:

1st    2nd     3rd
メ 赤  フ お   緑 し
イ ま  え Ch   や リ
 オ    か     チ
(メ=メアリー/ Mary;赤=red hair boy;イ=native / indian-look girl;オ= オス/ Ossu;フ=フランソワ/ Françoise;ま=まなみ/ Manami;え=Edo-period-look boy;か=かすみ/ Kasumi;緑=green hair boy;Ch=チーター/ Cheetah)

We make four assumptions: 1. Those 14 members ( Banana Section omit Chacha ) are two complete 7 magic types. 2. The three tables have similar formations. 3. The Tri-pole (月, 火, 風, hence magic type 攻, 物, 忍) represents itself in the three tables. 4. The same-position members ( like メ-フ-緑; オ-か-チ ) must have sort of Positive-Negative-Neutral balance.

Then え, the Edo-period-look boy, is the only member connects to 忍 or Orin, for his "Classical Japanese style" is similar to Orin's. We define they are both 忍.

Thus the the 2nd table now is:

? 忍
忍 召
 ?
By first assumption, we make all three tables have this " same 法系 in a table must be in a diagram on the front 2x2 block". Therefore the 3rd table, its only unknown member, the green hair boy, must be the same type as the 物 or Riiya. The 3rd formation now is:
物 変
薬 物
 器
We can see the two 物s is on the diagram is as the two 忍s on 2nd.

By 物-Riiya-火; 忍-Orin-風 association ( First association ), we can see that the "duplicate pair" on 2nd and 3rd table are 風 and 火, which are two out of the Tri-pole. Therefore the 1st table's duplicate pair must be 攻-月.

攻-忍-物 or 月-風-火 complete the Tri-pole.

In 1st table, Mary is already known ( She is 道 ), so the "duplicate pair" in 1st table must be the 赤-イ line. Thus we write 1st table down as:

道 攻
攻 ?
 変
In this time we have 3 left members: Françoise, Kasumi, Manami. And 3 not yet associated types, 薬, 道, 召. Manami must not be 道, since 1st table already has a "duplicate pair", likewise, Kasumi and Françoise must not be 召.

Thus Manami is the only possible 召-水. The two on the same position as Kasumi, Ossu ( 変-日, 日 is positive ) and Chacha ( 器-人, 人 is neutral ) is already positive and neutral, therefore Kasumi must be a negative-feature magic-type, which is 道-木. Then Françoise must be the left 薬-土.

Finally, we set the magic-type on those 3 table-14 members are:
1st    2nd     3rd
道 攻  薬 忍   物 変
攻 召  忍 召   薬 物
 変    道     器
2f2a2f738bd4b31cba69ca3682d6277f9f2ff829

 In same position, 攻-忍-変 (月-風-日, -0+ ) is balanced; 変-道-器 (日-木-人, +-0) is balanced; 攻-忍-薬 ( 月-風-土, -0+ ) is balanced; 召-召-物 (水-水-火, --+) is balanced with 道-薬-物 (木-土-火,-++). 

 Can we test this result? First evidence is, the "affinity" between 木 and 土 ( like Marin (道-木) and Yakko (薬-土) ) also manifests itself in 3 forms, like the pic:

 By our result, Mary is 道-木; Françoise is 薬-土; Kasumi is 道-木. So either Yakko-Mary in Ep.63, or Mary-Françoise in Ep. 23, or Françoise-Kasumi in Ep. 16 and other episodes ( Françoise-Kasumi shows up near-by often ), they are all 木-土 connection.

 This can be a support-proof of our Kasumi-道; Françoise-薬 association.

 We can test this result more by the "balance" Akazukin Chacha shows by itself.

 Like this formation from Ep. 24, it's one of the scene that all 14+2 ( two 7法系 + Chacha + Rascal ) members shows up by fixed formation.

 We split this 16 member formation into two 8 member formations by the middle. Then easy enough, we can see that in this two formations, male ( + , positive, 陽 ) and female ( - , negative, 陰 ) is balanced. We call the upper 8 members the U-group; the lower 8 members the L-group. In each group, the number of male is equal to the female's ( 4 male and 4 female ). 

Seto22
 

Now we omit the "inordinary" one Chacha ( not an ordinary person ) and Rascal ( not a student ). Then the U-group now has 3 males and 4 females; and L-group now has 4 males and 3 females. Thus, we can call the group which has more male / positive / 陽 the Yang-group ( L-group is the Yang-group); the group which has more female / negative / 陰 the Yin-group ( U-group is the Yin-group ).

Whether Yin-group or Yang-group, they all contains all 7 types of magic one group. Now we can make this list:

Type Yang Group - the lower in Ep. 24's formation Yin Group - the upper in Ep. 24's formation
Kasumi Mary
Yakko Françoise
Orin unnamed Rounin look boy
unnamed red afro hair boy unnamed Indian look girl
unnamed green afro hair boy Riiya
Shiine Ossu
Cheetah Manami

...editing...

The 十色 ( Ten Colours / Deco-ple Colour ) system

In the Meaning of 8 Stages Article, We had regarded the 7 "glowing colors" as the 7 "rainbow colors" ( and we already see these colors ( by "rainbow" order ) represent the law of + , -, 0 ).

Now, we regard these colors by the node-middle color system. For example, let blue ( Shiine's glowing color ) and red ( Chacha's ) be the two "node colors", then purple ( Dorothy's ) is the "middle color" between red and blue ( mix red with blue we have purple ).

We set Yellow, Blue, Red, White the 4 node colors, which is 黃 青 赤 白. In Chinese / Japanese tradition ( like 陰陽道 in Japan ), they have the North-black ( 北方之色黑 ), East-blue ( 東方之色青 ), South-red ( 南方之色赤 ), West-white ( 西方之色白 ), central-yellow ( 中央之色黃 ) linkages, which we have already introduced in the paragraph above. In Akazukin Chacha, it uses "light" to represent these colors. Since "black" can not be a "color of light", we replace the North-black with North-yellow ( we will know we have much more reasons to do this ). Therefore we have this color-axis:

Bur2

the node-middle chart ( rotated right 45 )

We already know 青 and 赤 are Shiine and Chacha,    


   the A position, the middle between Yellow and White, which is 黃白, is Yakko's glowing color ( light yellow );

the B position, the middle between Yellow and Blue, which is 青黃, is Riiya's ( green / sea green );

the C position, the middle between White and Red, which is 赤白, is Marin's ( pink / light red );

the D position, the middle between Red and Blue, which is 青赤, is Dorothy's ( purple );

the E position, which can be the middle of Yellow and Red ( 黃赤 , E1 ) or the middle of White and Blue ( 青白 , E2 ),

the E1 , 黃赤, is Orin's ( orange ); the E2 ,青白, is Seravi's ( light blue ).

Now we have re-arranged the 7+1 ( +2 ) colors with the node-middle color system, we have:

Chara node-middle color reversed node-middle color
Seravi 青白 青白
Riiya 青黃 赤白
Shiine 正青 正白
Dorothy 青赤 黃白
Orin 黃赤 黃赤
Yakko 黃白 青赤
Marin 赤白 青黃
元質闇 正白 正青
元質聖 正黃 正赤
Chacha 正赤 正黃

the 正黃, 正青, 正赤, 正白 ( 黃青赤白 prefixed with 正 ) represents the four node colors.

Now the question is: do Yellow and White ( 正黃 and 正白 ) link to any actual characters? In Ep. 50, the light of 正黃 does show on Magical Princess's body ( and heal or reinforced her ), and the light of 正白 is the beam which destroyed the Evil Lord.

We can say, by those two Ep. 50 has shown, the 正黃 can be described as the "beneficial" power; the 正白 can be described as the "destructive" power.

We call the 正黃 / "beneficial" as 聖, and the 正白 / "destructive" as 闇 by now ( we will know these two actually shows up in many cases in future ). They did be hinted in Ep.50, although not being actual "characters".

E7e1cefc1e178a8204929109f303738da877e831

The 10 colors in Ep. 50.

Now as the picture above, we define the "reversed" 10 colors. If X color is on the point-symmetric position of Y color ( on the node-middle chart ), then X and Y are reversed colors to each other ( 逆色 ). Like 青黃's reverse is 赤白, 正黃's reverse is 正赤... etc., 黃赤 and 青白's ( Orin's and Seravi's ) reverse are same as their original.

And we call the "glowing colors" of characters ( shows in Ep. 50 ) the 表色 ( surfacial color ), and call the reversed color of 表色 the 真色 ( inner color / essential color ). Now we know the node-middle color above is also 表色; the reversed node-middle color is also 真色.

Meaning of 表色 and 真色

真色 ( one's 表色's reverse ) related to the "natural" color of one's attribute ( by FA ).

Like, Riiya's 真色 is 赤白 ( light red ), and Riiya's attribute ( by FA ) is 火 ( Fire ), Fire's "natural" color can be described as light red.

Marin's 真色 is 青黃 ( green ), and 木 ( plant ) is also green.

土 has the darker color 青赤 and 水 has the lighter color 黃白.

4 herbs - 4 Charas and 十色 system

Ykcn
In Ep.70, "Yakko's memory" plot, each memory is associated to a herb ( or its color ) ( Anime Ver. ).

the "herb color" chain is:

White

Purple

Yellow

Pink

the character ( in memory ) chain is:

Shiine-日 ( 日 is Shiine's attribute by First Association, sic passim )

Riiya-火

Chacha-人

Yakko-土 ( the last memory relates to Yakko herself ).

Kor
We can say that the "4 color herbs" is not some random add-on in Anime version, if we link these two chains on the 十色 chart ( chain's tail links to chain's head ), then we have this pic:

The gray line is the "herb color" line ( white-purple-yellow-pink-(white) ), and the black line is the "characters ( their "glowing colors" )" line ( 日(blue)-火(green)-人(red)-土(light yellow)-(日) ). We can see they are exactly the same and symmetric pattern.

Kusa

These two chains also has a "crossing" relation, as the pic:

By the "reverse" relation, we can see the 4 "node" colors are linked parallel, and 4 "middle" colors are linked crossing. ( 闇 = White; 水 = purple; 聖 = yellow; 木 = pink ).

If we regard the "colors" on this chart as corners / directions and regard them as the 真色 of each elementials , then we have

黃 = 人 = North;

青黃 = 木 = Northeast;

青 = 闇 = East;

青赤 = 土 = Southeast;

... etc.

We call the North, East, South, West the 4 major corners ( 正位 ), and Northeast, Southeast, Southwest, Northwest the 4 minor corners ( 不正位 ). Then we can see the 黃赤 ( northsouth? ) and 青白 ( eastwest? ) are impossible corners.

So Ep. 70 actually shows the 正位 and 不正位 relations, and avoid the impossible ones ( 黃赤 and 青白 ).

The former pattern is related to the natural order in the unique 3 x 3 magic square ( avoid the center ). We can see the gray line is same as the 6-7-8-9-(6) pattern on the magic square, and black line is same as the 1-2-3-4-(1) one. They all avoid the central 5.

...editing....

十色 chart and the 法系 chart

If we rotate the 十色 axis 45 degree right, then translate the colors to characters, then again translate the characters to their attributes ( by FA ). Now the 十色 chart can be written down as:

闇土土聖
木月風火
木風月火
人水水日
those 月月, 風風, 火火, 土土 etc. are actually 月, 風, 火, 土

We know this is a 表色 chart ( see the 表色-真色 definition above ), make it to 真色 chart ( regard each color as an elemential's 真色 ) we have:

日水水人
火月風木
火風月木
聖土土闇
Now compare this to the 法系 circle, we have:
十色-真色: elemential-法系:  magic type-法系:
日水水人   日水水人      変召召器
火月風木   火  木      物  道
火風月木   火  木      物  道
聖土土闇   月風風土      攻忍忍薬
We can see the largely similarity between these two. The are almost the same despite the 聖土闇 or 月風土 thing, we will know it depends on the 8-system or 10-system.

Two charts both relate to the traditional 北方水, 東方木, 南方火, 西方金( 風 ) ( North-Water; East-Plant; South-Fire; West-Metal ( Wind in Akazukin Chacha ) ), if we regard the upper of these charts as north, leftside as west.

We can also see a "twist" in these two charts if we compare them to the traditional assignment, the 火 and 風 ( 土 in 十色 ), or South and West, are exchanged from the the traditional one. We will know this "twist" is just like the "exchanged 3 and 4" thing we explained before, it's not some random "error" in Akazukin Chacha itself.

...editing...

The Property of 7-gua

In the "The 10 colors in Ep. 50" picture, we have put the 7-system-Gua on the opposite side of each character ( every Gua's color is the character's "glowing color"s reverse ). Now we start the explanation below:

Ep. 27 to Ep. 29 ( with Ep.30 ), the "4 stages with double attributes per stage"

In Ep. 27, the "burning mountain" episode, we can easily know it relates to ( Earth, the mountain ) and ( fire ).

Likewise in Ep. 29, the "seashore city" ( 不死鳥の里 ) and "tree monster" episode, we shall associate it with ( water / the sea ) and ( Makki, the tree monster ).

By assuming all these 4 stages ( ep.27 to ep.30 ) has 2 attributes per stage as well ,we now have:

土火 ( 火事場のチャチャパワー )
?? ( 不死鳥の沼探検隊 )
木水 ( ようこそ! 不死鳥の里へ )
?? ( これが噂の不死鳥の剣 )
It's a bit difficult of Ep. 28 and Ep. 30. Firstly, we can see they have a pair of frog ( Ep. 28 ) and bird ( Ep. 30 ). In Chinese / Japanese tradition, toad ( links to frogs ) and golden raven ( links to birds ) symbolize the Moon and Sun ( Like 淮南子 said "日中有踆烏,而月中有蟾蜍", western one ).

By this reason, we can let 月 associate to Ep. 28 ( the one with frog ), and 日 associate to Ep. 30 ( the one with bird ).

Also we have already linked P-suke ( shows up in Ep.30 ) to Element 日, see the SS-circle part.

Ep. 28 also shows "ponds" ( 沼 / 沼澤 ). In Baqua, it says "兌為澤" ( the symbol 兌 symbolize lakes / ponds / inland water ), and 兌 belongs to 金 ( metal , 兌為金 ) in Wuxing ( 卦名は兌。正象は沢。卦徳は悦。五行では金。 ). As we have explained before, 金 in Wuxing is 風 is Akazukin Chacha system, thus the "ponds" shown in Ep. 28 can be links to 風.

Finally, we have:

土火 ( 火事場のチャチャパワー )
月風 ( 不死鳥の沼探検隊 )
木水 ( ようこそ! 不死鳥の里へ )
日人 ( これが噂の不死鳥の剣 )
We put the inordinary 人 ( Chacha's ) to the inordinary Ep. 30.

The first thing we can see in this sequence is, the 4 elements in the upper two stages, 土-火-月-風, are totally the 凶 in the mural-吉凶( Xiang ) system ( 土-火-月-風 = 荒-卒-寂-魔 ) , and of course, the lower two stages's 4 elements, are all 吉 ( 木-水-日-人 = 治-導-仙-陣 ).

Cyba

reminder, Element's number and the cube's plane development.

Another interesting thing is, if we put each "element pair" of a stage onto the plane development of the numeric-magic-cube, like the pic below:

Kro

We can see they are all Northwest to Southeast lines on the 4 faces.

"Horizontal pairs" on CD2 poster and the combining of GUAs

We have already see the 6 iconic figures ( R-M, O-S, S-Y ) on CD2 backcover indeed represents the law of 三極 ( the three on the leftside: R-O-S, are all the members of Tri-pole ).

The arrangement of these six figures on CD2's poster is:

4and4

There's no isolated or meaningless thing in Akazukin Chacha, if we link all 3 horizontal lines in this formation ( CD2 poster's ), which are Shiine-Marin; Orin-Riiya; Seravi-Yakko, then put them onto the plane development of the cube,

We can see these three are all Northeast to Southwest lines on the 3 faces, and of course, the Dorothy-Chacha pair ( these two did not show up as small iconic figures on CD2 poster ) is also a NE to SW line on one of the cube's faces.

We call the 4 pairs ( Dorothy-Chacha; Shiine-Marin; Orin-Riiya; Seravi-Yakko, in Element, 水-人; 日-木; 風-火; 月土 ) the "Horizontal pairs of CD2 (poster) ". And now we can see they have sort of "reversing" or "mirroring" relation with the 4-stage ( Ep.27 to Ep.30 )'s pairs.

We can see more things between these two, first, in the 4-stage sequence, all "Horizontal pairs of CD2" were putted in nearby episodes,

like 水-人 ( ep. 29's 水 and ep. 30's 人 ); 日-木 ( ep. 30's 日 and ep.29's 木 ); 風-火 ( ep. 28's 風 and ep. 27's 火 ); 月-土 ( ep. 28's 月 and ep.27's 土 ),

We can re-arrange the 4-stage sequence by this law now, we make the vertical-nearby pairs in the sequence the "Horizontal pairs of CD2", which is:

土  火
月  風
      
木  水
日  人
the 木 ( tree monster in Ep.29, the enemy ) - 水 ( sea in Ep.29, the place ) order is same as the 月 ( the frog in Ep.28, the enemy ) - 風 ( 沼 in Ep.28, the place ) order.

Finally we regard this as a circle, which is:

  土
 月 火
木   風
 日 水
  人

We can easily see the connection between this ( 4x2 block form and circle form ) and the 法系數.

In the 4x2 block form, if we translate the Element to their 法系數, we have:

25
43
17
60
( The Magic-Type-Number of the uncommon Type 器 ( Chacha's ) is set to 0 )

We can see in the upper 2x2 block ( which are all 凶 in Mural-Xing-吉凶 system ), all numbers sums to 14 ( 2+5+4+3 ); just like the lower 2x2 block ( which are all 吉 in Mural system ), all numbers sums to 14 ( 1+7+6+0 ) .

We can also compare Element Number with the 法系數 by this sequence's circle form. we have: Element Number's

  6
 1 2
7   5
 3 4
  8

法系數's

  2
 4 5
1   3
 6 7
  0

We can see Element's 1-2-3-4 is just as 法系's 4-5-6-7 ( forms a Z pattern ); and Element's 5-6-7-8 is just as 法系's 0-1-2-3 ( forms a ㄈ pattern ).


Now remember our 6+2 directions system ( North, East, South, West, Above, Below, ( Central and Omnipresence) ), the former six was also called 六合 ( the six faces ( or six directions ) one can see inside a cube ) in Japanese or Chinese tradition.

BRL

We can see the four direction-opposite pairs ( N and S, E and W, A and B, C and Omnipresence ) forms a 卅 like pattern in the circle. Also the N-E-S-W fits the real world's directions, as the pic below:

We now know the "attributes" ( places or enemies ) of Episode 27 to 30, and the circle constructed from them, are not some random things. We can see they actually follow the law of "directions" and the "CD2 poster law".

Further more, as the pic has shown, each level of the "triple-in-once" ( 3-levels ) Guas forms three symmetric patterns on this circle by the "opposite in one category" pairs ( in 7-system ).

First, we keep 人 unchanged in all 3 levels ( since 人-Chacha does not belong to the 7-system ), for other seven we put the first 爻 ( lowest one ) on 1st level; second 爻 ( middle one ) on 2nd level; and third 爻 ( highest one ) on 3rd level.

For example, 風 ( Orin ) is 風火日 ( acrroding to Orin's "風よ炎よ光よ" line in CD2, see The Meaning of 8 stages article for details ), thus 1st level 風's position in 2nd level is 火, on 3rd level is日;

月 ( Seravi ) is 月木風, thus 1st level 月, 2nd level 木, 3rd level 風 ( same position )..etc.

Now remember the 4 opposite-in-one-category pairs we introduced before, they are: 風-土 ( aka 天-地 ); 火-水; 日-月; 人-木. We can see the link-lines of these 4 pairs on all 3 levels always form symmetric patterns, and the symmetric axis is between 月-土 ( 1st level ).

生剋-七陣 ( aka 法系-七陣 ) and the first step of "combining" of Guas

Remember this circle we mentioned before:
            や
!
! 
    リ                し           
!   
! 
!   
!   
!   
!   
!   
  マ                      お
!  
! 
!     
!  
! 
        セ          ど

It's basically A-type / Mahoujin arrangement while Yakko ( redhood←→blackhood ) moved to the position between Riiya and Shiine. It can also be constructed by the numeric magic cube ( see "3 circles built form the cube" part above ).

Translate the charas to Elements by FA, we have:

            土
!
! 
    火                日           
!   
! 
!   
!   
!   
!   
!   
  木                      風
!  
! 
!     
!  
! 
        月          水

Like 生 and 剋 in Wuxing relation circle , we define 4 ( +1 ) relations:

生, 剋, 助 ( weakened 生 ), 障 ( weakened 剋 ), and additional 不涉 ( not affect )

Hepata

red arrow - benefictial; black arrow - destructive; 礙 in the picture is 障 in this article

Then we define the rim ( clock-wise heptagon path ) as 生; the clock-wise narrow heptagram path as 剋, the clock-wise wider heptagram path as 助-障 alternately ( start with 月 ( Seravi's ) ). As the pic has shown.

In Wuxing, it have 金生水, 水生木, 木生火, 火生土, 土生金 ( see the wikipedia article ), and 金剋木, 木剋土, 土剋水, 水剋火, 火剋金.

In Akazukin Chacha ( inner ) system, since 金 in Wuxing is 風 in it, we have:

風生水, 水木, 木生火, 火生土, 土金 ( all "beneficial to ..." )

and

風剋木, 木土, 土剋水, 水剋火, 火剋風 ( all "destructive to ... " )

We can see the 生剋 ( and weakened 生 or weakened 剋 ) in our system is exactly follow the traditional WuXing system.

The other relations in our graph ( not being in Wuxing ) are:

土生日 ( sun rise at the ( earth's ) horizon ), 日生風 ( sun causes wind / air flow ), 水生月 ( tradition ( 594 A.D. ) has "月,水之精,故內明而氣冷" , Moon is spirit (?) / refined form (?) of Water, the Principle of Coldness ), 月生木 ( plants grow at night ), 火助日 ( both produce heat ).

日剋月 ( Sun suppresses Moon ), 月剋土 ( Coldness suppresses the fecundity of earth ), 木剋日 ( trees block the Sun ), 月障火 ( Coldness suppress Fire ), 日障水 ( Sun evaporate rivers ).

and the additional 風月不涉 ( 風 and 月 do not affect each other ), we will know this can also be 風障月.

Second step, test "combining" using 生 / 助 ( beneficial ) relations

Firstly we pick 水 and 火 form 7-system Guas, they are:

火 ( Riiya's )

—— —— 水

— — — 風

————— 火

and

水 ( Dorothy's ):

————— 土

—— —— 月

—— —— 水

We put 火 above 水 ( Fire go upper and Water go lower naturally ), then the "combining" of these two is:

水: 6th

風: 5th

火: 4th

土: 3rd

月: 2nd

水: 1st

We can see the bonding point, 火 and 土 ( 3rd and 4th ), has "beneficial" relation ( 火生土 ).

Second test, we put 火水 inside 風土 ( 天地 ), put Water and Fire between Haven and Earth ( the natural border ), Haven (風) on the highest and Earth ( 土 ) on the lowest, we have:

風 ( Orin's )

————— 日

————— 火

— — — 風

火 ( Riiya's )

—— —— 水

— — — 風

————— 火

水 ( Dorothy's ):

————— 土

—— —— 月

—— —— 水

土 ( Yakko's ):

—— —— 木

————— 日

————— 土

The combined form is:

日: 12th

火: 11th

風: 10th

水: 9th

風: 8th

火: 7th

土: 6th

月: 5th

水: 4th

木: 3rd

日: 2nd

土: 1st

We can see all the 3 bonding points 風水 ( 9th and 10th ); 火土 ( 6th and 7th ), 水木 ( 3rd and 4th ) are all "beneficial" or "harmony" relations ( 風生水; 火生土 ; 水助木 ).

The 火-水 combined form was called "Antipode" and the 天-火-水-地 combined form was called "Rainbow", by Sqylogin.

Final step, combining of all 24-level and compare with "horizontal pairs" on CD2 poster

We follow the rule we have seen in the 火水 or 天火水地 combination: The two elements on the bonding point must have "beneficial" or "harmony" relation. Thus the unique solution of all 7 Guas ( 21-levels ) is:

————— 日

————— 火

— — — 風 ( 風卦, Orin's )

—— —— 水

— — — 風

————— 火 ( 火卦, Riiya's )

————— 土

—— —— 月

—— —— 水 ( 水卦, Dorothy's )

—— —— 月

—— —— 水

—— —— 木 ( 木卦, Marin's )

————— 火

————— 土

————— 日 ( 日卦, Shiine's )

— — — 風

—— —— 木

—— —— 月 ( 月卦, Seravi's )

—— —— 木

————— 日

————— 土 ( 土卦, Yakko's )

We can see all six bonding points : 月生木, 日生風, 水助木, 水生月, 火生土, 風生水, are all upper-to-lower-beneficial relations.

This sequence can be written as:
土月日木水?火風
Finally we put the inordinary 人 into the position between 水 and 火 ( the middle of 水 and 火 is the center of both 火水 form and 天火水地 form ), then we have:
土月-日木-水人-火風
4and4

reminder

Amazingly, these 4 "nearby pairs", are actually just the "horizontal pairs" we have already seen on the CD2 poster: Yakko (土) - Seravi ( 月 ), Shiine ( 日 ) - Marin ( 木 ); Dorothy ( 水 ) - Chacha ( 人 ); Riiya ( 火 ) - Orin ( 風 ).

This is the first thing that could "proof" the linkage between the ( other five ) Guas we defined and the thing which Akazukin Chacha has shown by itself.

We call this 8-24 level sequence the Cosmos, which primitively named by Sqylogin ( we will know it's the "8-24 level with 9 elements" soon ).

Can we see the real world "cosmos" ( κόσμος : ordered, rational, reasonable, comprehensible world ) properties in this sequence? First, we can see in this sequence, 風 ( 天 ) is above 土 ( 地 ) / Heaven is above Sky; 火 is above 水 / Fire go up and Water go down; 日 is above 月 / Sun, the 太陽 ( pure form of Yang ) is above Moon, the 太陰 ( pure form of Yin ).

These "above" relations are just as the "upper and lower of the two opposite-in-one-category Elements" we defined before.

Second, we translate this sequence to 吉凶 system ( see the "Mural" part above ), we have:

凶凶-吉吉-吉吉-凶凶
We can see the "center / border" contrast;. The "center of world" represents bright / Good, and the "borders" are dark or evil / barbaric.

Third, if we call the elements of Ep. 27 ( 火 and 土 ) A; the two of Ep. 28 ( 風 and 月 ) B; the two of Ep. 29 ( 水 and 木 ) C; the two of Ep. 30 ( 人 and 日 ) D, and put them to this sequence, we have:

AB-DC-CD-AB
We can see the two halves all have complete ABCD.

Now if we replace in this sequence with 聖, then we have:

土月日木水火風
The 人<-->聖 replacement may be supported by the Chacha <--> Magical Princess relation ( Element 人 is Chacha's; Element 聖 is the one showed up on Magical Princess's body in Ep. 50 ).

This 24-level sequence now is:

————— 日

————— 火

— — — 風 ( 風gua )

—— —— 水

— — — 風 ( S )

————— 火 ( 火gua )

— — — 

————— 陽 / 火

— — — 風 ( 聖gua )

————— 土

—— —— 月

—— —— 水 ( 水gua )

—— —— 月

—— —— 水

—— —— 木 ( 木gua )

————— 火

————— 土

————— 日 ( 日gua )

— — — 風

—— —— 木

—— —— 月 ( 月gua )

—— —— 木

————— 日

————— 土 ( 土gua )

If we regard the ( S ) place as 闇gua ( where is between 風gua and 火gua ), then this sequence contains all Nine Elementials.

In our result, 闇(gua) is sort of "non-existence" or "parasitic" in this sequence, and Elemential 闇 was actually named "Shade" by Sqylogin. ( shade / shadow is non-existence / lack of light )

Now we can write this 24level-9Element sequences as:

土月日木水

The "Three sections" and Cosmos ( 9 Elementials sequence )

Remember the "Ascending of B-type Circle" ( S-七陣 ) we explained before:
            水
!
! 
    土                日           
!   
! 
!   
!   
!   
!   
!   
  風                      月
!  
! 
!     
!  
! 
        火          木
Start with 水, the counter-clock-wise spin order of this circle is:

水土風()火()木月日

This's actually identical to Sqylogin's 9 Elemential shows-up-order, which is:

水土風-聖火闇-木月日
We call the first three (水, 土, 風) the "L section"; the middle three ( 聖, 火, 闇 ) the "C section"; the last three ( 木, 月, 日) the "H section".

Put L, C or H back into the 24level-9Element sequence, we have:

L-H-H-H-L-C-C-C-L
This result can be linked to the official Chacha-middle; Shiine-RightHand-side; Riiya-LeftHand--side display.

生剋-七陣 and the 3-level Gua

As the pic below, we make the 3 level on 生剋 / 法系-circle:

Rolllleng

We can see in all 3 graphs, the Yin Elements ( 水, 月, 木 ) and Yang Elements ( 日, 火, 土 ) are automatically divided into two hemispheres. And if we link Yin group or Yang group with the order of strongest-middle-weakest order ( in Yin case, ranked by magical power; in Yang case, ranked by physical power ), we can see each graph has a "hooked" arrow and a "arc" arrow.

In all 3 graphs, if we make the central ( Chacha's position ) always faces the neutral 風, then we can see in 1st and 3rd level ( odd-number level ), the Yin-hemisphere always on the right-hand side, and Yang-hemisphere always on the left-hand side. Just like in "henshin" sequence, Hope ( links to Yin / feminine ) is on Love ( links to neutral )'s right-hand side; while Courage ( links to Yang / masculine ) is on the left-hand side.

The 2nd level ( even-number level ) has a different ( actually "reversed" ) pattern. We can see both "hooked" and "arc" arrow in 2nd level spins counterclockwise ( we call clockwise 順 and counterclockwise 逆 ), and this time the Yang hemisphere ( 日, 火, 土 ) is on Chacha's right-hand side, Yin hemisphere ( 水, 月, 木 ) is on her left-hand side.

In tradition, it has 左陽右陰 ( leftside is yang / rightside is yin ) or 男左女右 ( male on the left and female on the right ) (see this ( no good english source )), thus the 2nd level is both counter-clockwise and counter-yinyang.

..editing...

愛部、勇部、希部 ( L, C, and H section )

As we defined before, by this order: 水-土-風---聖-火-闇---木-月-日, we make the L section ( also 愛部 ), C section ( also 勇部 ), and H section ( also 希部 ) out of the Nine Elementals ( 10 omit 人 ).

We can see each section has a member of Tri-pole: in L-愛部, it's 風; in C-勇部, it's 火; in H-希部, it's 月.

We call the members of Tri-pole the 主 ( Lead ), thus 風 is 愛部主 ( Lead of L section ); 火 is 勇部主 ( Lead of C section ); 月 is 希部主 ( Lead of H section ).

Omit the Lead of each section, we can see all sections have a yang ( + ) element and a yin ( - ) element: In L-愛部, 水 is the '-', 土 is the + ;In H-希部, 日 is the +, 木 is the - ; In C-勇部, 聖 is the ( quasi ) +, 闇 is the ( quasi ) - .

( since 聖闇 are all neutral and not belong to 7-system, the 聖+ 闇- assignments only uses when this two show up together )

For example, we call the + of L section 愛部陽, which is 土; the - of H section 希部陰, which is 木... etc. Then we can make this list:

Hosin
Elemential +,-,or Lead Element Number
L- 愛部陰 4
L+ 愛部陽 6
LLead 愛部主 5
C+ 勇部陽 9
CLead 勇部主 2
C- 勇部陰 8
H- 希部陰 7
HLead 希部主 1
H+ 希部陽 3

In the pic above we exchanged Number 3 and Number 4, which is Shiine and Dorothy or 日 and 水, just like the time when we made the LuoShu / 3x3 magic square formation. And we make 9-聖 and 8-闇 on their own positions as well ( see the "descending of B-type circle" part before ).

Now we can see, as the two enneagons below had shown ( which are following the 7+2 heptagon formation ) , the L-C-H and Lead,+,- ( 主, 陰, 陽 ) patterns are all symmetrical.

The 7-directions and Guas

3D77neu

We already introduced the 7+1 directions: N, S, W, E, A ( above ), B ( below ), C ( center ). and the inordinary Omnipresence on the Numeric-cube part ( In that part we proofed that those "directions" law and the "Element Number" form Akazukin Chacha itself, are linked ).

Now omit the inordinary one, we put these 7 into a 3D space, as the pic:

We set Above-Below as Z-axis; East-West as X-axis; North-South as Y-axis.

And Above, East, North as + ; Below, West; South as - .

In the pic we can see on Z+ is 日gua; Y- is 火gua; center is 土gua ... etc. Just as the assignments we explained before.

Among these assignments,土-Center;木-East; 火-South; 金 ( 風 )-West; 水-North are following the traditional assignments. Is there anything to support our 日-Above; 月-Below assignments? First, these two can be support by the traditional 陰陽升降 (yin-yang float-sink(?) ) of 太陽 ( Sun, 日 ), 太陰 ( Moon, 月 ) elements itself.

The second support is the similarity of this 7-system and the traditional 5-system. As the right side of the pic, we draw 生, 助-障, and 剋 lines on XZ plane; YZ plane and XY plane. We can see only when we set 日-Above and 月-Below, the pattern on XZ plane can be same ( and 180 rotated ) as the XY plane.

...editing...

B segment and D segment of a 三性三爻卦

Take 火gua as example:

—— —— 3rd

— — — 2nd

————— 1st

We define

— — —

—————

as B segment of 火gua, and

—— ——

— — —

as D segment of 火 gua.

We can see B segment is just 1st and 2nd level of a Gua; and D segment is just 2nd and 3rd level of a Gua.

Then we "split" all nine 三性三爻卦s into B and D segments as well, we'll have these 8 types of segments below:

—————

—————

( B of 日; B of 土; D of 風; D of 日 )

— — —

—————

( B of 火; D of 聖 )

—— ——

—————

( D of 土; D of 人 )

—————

— — —

( B of 風; B of 聖; B of 人 )

—— ——

— — —

( B of 闇; D of 火 )

—————

—— ——

( D of 水 )

— — —

—— ——

( D of 月; D of 闇 )

—— ——

—— ——

( B of 月; B of 水; B of 木; D of 木 )

If we quantize —— —— as 0; — — — as 1; ————— as 2 ( we quantize them as -1,0,+1 before, and now all add 1 ), and the lower one of the two as the high-order; the higher one as the low-order of Ternary numeral system

. We can calculate, for example:

—— —— 0

— — — 1

as 1*3 + 0*1 = 3

Now we can see the order of these eight is from 8 to 0, and lack of 4 ( the middle one or 和-和, remember 和 itself is not ordinary in our 陰陽和 system ).

We can also see in 7-system, the sum of all seven B-segments is:

0 (月) +8 (土) +0 (木) +7 (火) +8 (日) +5 (風) + 0 (水) = 28
the sum of all seven D-segments is:

1 (月) +6 (土) +0 (木) +3 (火) +8 (日) +8 (風) + 2 (水) = 28
They are all 28, and 28 is just a half of 56 ( the sum of seven maximum value of two-ordered ternary number, 7x8 ).




That's said, the 7-system Guas, which are hinted by CD2 Orin's line and Ep. 42 Muhramahsa's spell etc., and have shown the harmonious relations with the official displays like the 4x2 attributes system ( Ep.27 to Ep.30 ), and with other relation-system we have like the Cosmos sequence, is also compatible to the natural number-operation system.

We can also see it relates to the strongest-middle-weakest of yin group and yang group system,

firstly we can see in the 9-system, the higher level of all nine D-segments, has three HE, three YANG and three YIN, as the list:

All D-segments in 9-system
— — —

—— —— (月's)

— — —

—— —— (闇's)

— — —

————— (聖's)

           
—————

————— (風's )

—————

—— —— (水's)

—————

————— (日's)

           
—— ——

— — — (火's)

—— ——

————— (土's)

—— ——

—— —— (木's)

In first row ( the higher level are all — — — ), 月 is the strongest among YIN group ( Seravi is the strongest among S-D-M group by magical power, see the Tri-pole part ), 聖 is non-stongest and 闇 is also non-stongest among HE group.

In second row ( the higher level are all ————— ), 風 is the strongest among HE group, 水 is the middle among YIN group; and 日 is the weakest among YANG group.

In third row ( the higher level are all —— —— ), 火 is the strongest among YANG group, 土 is the middle among YANG group, 木 is the weakest among YIN group.

As for the nine B-segments, we arrange them by the lower level,

we have:

All B-segments in 9-system
—————

— — — (風's)

—— ——

— — — (闇's)

—————

— — — (聖's)

           
— — —

————— (火's )

—————

————— (土's)

—————

————— (日's)

           
—— ——

—— —— (月's)

—— ——

—— —— (水's)

—— ——

—— —— (木's)

In first row ( the lower level are all — — — ), 風 is the strongest among HE group, 闇 and 聖 are non-strongest among HE group.

In second row ( the lower level are all ————— ), 火 is the strongest among YANG group, 土 is the middle among YANG group, 日 is the weakest among YANG group.

In third row ( the lower level are all —— —— ), 月 is the strongest among YIN group, 水 is the middle among YIN group, 木 is the weakest among YIN group.

That's said, in this kind of 3x3 arrangement of all B-segments and D-segments, all rows have complete 3 strongest-middle-weakest elements.

Now we quantize —— —— as 0; ————— as 1, then build all eight 二性三爻guas, we have:

( in below we also put "segments" of 三性三爻gua nearby all eight 二性三爻guas )

'————— '(traditionally 乾)

—————   —————

————— = 7 = ————— ( 8 )


'—— —— '(traditionally 兌)

—————   — — —

————— = 6 = ————— ( 7 )


————— (traditionally 離)

—— ——   —— ——

————— = 5 = ————— ( 6 )


'—— —— '(traditionally 震)

—— ——   —————

————— = 4 = — — — ( 5 )


————— (traditionally 巽)

—————   —— ——

—— —— = 3 = — — — ( 3 )


'—— —— '(traditionally 坎)

—————   —————

—— —— = 2 = —— —— ( 2 )


'————— '(traditionally 艮)

—— ——   — — —

—— —— = 1 = —— —— ( 1 )


—— —— (traditionally 坤)

—— ——   —— ——

—— —— = 0 = —— —— ( 0 )

(二性三爻guas are calculated as binary numbers )

We can see, although the numbers from 二性三爻guas and the numbers from 三性三爻 "segments" are not perfectly equal ( the first four "segments" equal to 二性三爻guas add 1 ), the "shape" of themselves hinted they are the same, like 二性三爻's 5 and segment's 6; 二性三爻's 2 and segment's 2.

We can also see a balenced result from this B/D-segment ( of 7 or 9 system ) <--> traditional Bagua substitution.

Istarbikum2

First, in Mahoujin, move Chacha to the position where opposite Orin (See below), then we have a formation below: Split all 三性三爻guas in to B (purple area) and D ( yellow area ), then translate all (三性二爻) segments to  traditonal (二性三爻) Bagua. We can see the +guas (陽卦) and -guas(陰卦) automaticlly divide into 4 (balanced) fields.

(Note, In tradtion, 乾震坎艮 are defined as +/陽/red; 坤巽離兌 are defined as -/陰/black. We can see these were simply defined mathmatically. (from binary-number order) )


In below we start to associate the 8 charas with the 8 二性三爻guas.

"合" operation and the association between 8 Charas and traditional 8gua

The "合" operation method table is:

b\a — — — ————— —— ——
— — — ————— —— —— —————
————— —— —— ————— —— ——
—— —— ————— —— —— —————

That's said it's a simple rule:

  • If a and b are same, it produces —————;
  • If a and b both are not — — —, and a and b are different, it produces —— ——;
  • If a or b is — — — , and the other is not, it produces the inverse of the other ( ————— into —— ——;        —— —— into ————— )

We make some examples below:

—————  — — —  —— ——

————— 合—— —— = —— ——

— — —  —— ——  —————


————— —— ——  —— ——

—— —— 合—— —— = —————

—— —— —— ——  —————


—————  — — —  —— —— —— —— —— ——   —————

————— 合—— —— 合— — — = —— —— 合— — — = —————

— — —  —— ——  —————  —————  —————  —————

Remember this pic we used before:

3D77neu

We placed the seven 三性三爻guas on their own directions ( Above-日; Below-月; Center-土; East-木; South-火; West-風; North-水, see explanations before ).

We call East-West as X; North-South as Y; Above-Below as Z, and E, N, A as + ; W, S, B as - .

Now with the 合 method, we merge the three 三性三爻guas which included in an Octant into one, and plus the 土-Center and 人-Omnipresence. So each Octant has five guas to merge, for example,

in the X+Y+Z+ octant:

( Above, Z+)合( East, X+)合( North, Y+) = 010 ( 坎卦 in traditional 8gua )

in the X-Y+Z- octant:

( Below, Z-)合( West, X-)合( North, Y+) = 110 ( 兌卦 in traditional 8gua )

etc...

We can see, it results all 8 ( different ) traditional 8guas in the 8 octants. ( It can not produce them if we alter a 7-system gua or a direction-association ) The 7-system and +,-,0 system are built by us with the hints from Akazukin Chacha itself. It does not exist in anywhere else in the world. That's said Akazukin Chacha itself is really rooted in the natural, harmonious rules.

Now we start the association of 8 charas and 8 traditional guas, first we divide the Friendship Circle into two parts, blue part and red part. This dividation may be linked to the Magic-Type-Circle with Element-Number:

MT-Circle ( translated with Magic-type => chara => chara's FA ):

日水人

火 木

月風土

Number-MT-Circle ( chara's FA => EN, Chacha-人 is 8 by this time ):

348

2 7

156

We can see the rotating pattern of Numbers ( 1-2-3-4; 8-7-6-5 ) is just as our red-blue dividation or the Taijitu.

We make the blue part as the "lower", since it corresponds the 8-7-6-5 part ( bigger numbers, "heavier" ); and red part as the "higher" (1-2-3-4 part, smaller numbers, "lighter" ).

Now image we are sitting inside a box ( or on the Center-土) , and going to draw the blue part on the "floor" and draw the red part on the "ceiling". The red part start at X+Y+Z+ octant with Orin, the blue part start at X-Y-Z- octant with Chacha ( both Orin and Chacha showed "neutral" or "inordinary" character in Akazukin Chacha itself, see before ). And both of them ( on the "ceiling" or "floor" ) rotate clockwise.

Finally we can have this result:

X+Y+Z+, 010, traditional 坎 = Orin

X-Y+Z+, 001, traditional 艮 = Shiine

X-Y-Z+, 100, traditional 震 = Dorothy

X+Y-Z+, 111, traditional 乾 = Seravi


X-Y-Z-, 011, traditional 巽 = Chacha

X-Y+Z-,110, traditional 兌 = Riiya

X+Y+Z-,101, traditional 離 = Marin

X+Y-Z-, 000 , traditional 坤 = Yakko

In tradition, 坤巽離兌 are all "female" guas ( 坤為母, 巽為長女, 離為中女, 兌為少女; 坤 is the mother, 巽 is her eldest daughter, 離 is the middle, 兌 is the youngest ); 乾震坎艮 are all "male" guas ( 乾為父, 震為長男, 坎為中男, 艮為少男; 乾 is the father, 震 is his eldest son, 坎 is the middle, 艮 is the youngest).

That's said this result produced by our system also follow the rules from tradition ( "male" and "female" divided into "upper" and "lower" ). You can read more traditions of I-Ching or Guas by yourself, the more you know, the more you can see the harmonious relations between tradition and our system.

Finally we have this FriendshipCircle-Gua combined formation:

Neu

We'll call this formation 貫地 afterward. Tradition has 先天 / 伏羲 ( FuXi type of arrangement ) and 後天 / 文王 ( King Wen type ), now we add this 貫地 type.

We can see more evidences about the harmonious relation between Akazukin Chacha itself and this chara-to-gua system.

In Mahoujin, we draw the 二性三爻-system guas ( all black ) beside the Charas and the 三性三爻-system guas ( those with colors ) on the opposite side of the Chara ( bottom-to-top of a gua is center-to-rim in this formation ), we have:

E7e1cefc1e178a8204929109f303738da877e831

notice the upper-right side

We notice that, in 二性三爻-system, the Seravi-Dorothy-Orin-Shiine order is just the 乾☰ -震☳-坎☵-艮☶, in other word the male guas with Father-Eldest son-Middle son-Youngest son ( old to young / mature to immature ) order.

The right side show by the same law if we move Chacha ( 巽 in traditional 二性三爻 system ) to the position between Yakko and Marin, where is on the opposite side of Orin.

We have some reasons to move Chacha to the position where opposites Orin:

  1. When we build the 3x3 magic squre / Luoshu, we moved Orin to the center, thus Orin "push" (the originally central ) Chacha to the opposite side of her.
  2. Chacha and Magical Princess can be regarded as two members. In 3x3 magic square, the position between Riiya and Shiine ( where on CD4 backcover Chacha inserted into ) should be 9, and 9 is the Element Number of 聖, and 聖 shows up on MP. Thus the position between Riiya and Shiine in this 10-system, must be MP's. Chacha should on another postion.
Cop10

8-9-0 and the "mirrored" Tri-pole

' With the 3x3 magic square construction we explained before, the whole 10-system Mahoujin should be:

We can see the additional 8-9-0 are just the "mirrored" 2-1-5, the Tri-pole. In other word the three "opposite position"s of the Tri-pole.

Also the opposite pair 1 and 9; 2 and 8 all sums to 10, the 5-0 pair is relates to the Central-0-5-10 equivocality ,like the He Tu

Thus if we draw a line by the point between Seravi-Yakko, and the point between Riiya-Shine ( or the point on the opposite side of Seravi and the point on the opposite side of Shiine), we can divide the Mahoujin circle as two semicircle.

The Right side are all 8-system Yin / Female; the Left side are all 8-system Yang / Male.

Also we draw a ray from 7-system's 火 ( since 火 contains all three ————— and —— —— and — — —), and divide the 7-system guas into two groups ( in Right and Left semicircles ).

The Right side group has 6 ————— and 2 —— —— in 7-system, thus it should be + / Yang; the Left side group has 6 —— —— and 2 —————, thus it should be - / Yin.

Now we can see the 8-system Yang and 7-system Yang overlapped area (雙系合陽) is on the opposite position of the point between Riiya and Shiine; the 8-system Yin and 7-system Yin overlapped area (雙系合陰) is on the opposite position of the point on the left side of Seravi.

When we construct LuoShu formation form Element Numbers, we put Number 9 / 聖 on the position between Element 日 and Element 火; and Number 8 / 闇 on the position between Element 月 and Element 水 ( in other word the left side of Element 月 ). Now we can see these two, 8 and 9, are just following the Yin / Yang overlapped ( 合陽 / 合陰) area rule.

Review B segment and D segment

In Ep.31, The two who relate to the WingKris' "training" is Rascal and Orin. We know Orin is 風 by FA; Rascal is 火 by "six color" chart on CD4 cover (combine it with the Sensei-chain on CD4 backcover , see The Meaning of 8 Coins).

Thus we may associate WingKris or Phoenix / Fushichou with火 and 風.

火 and 風 is also the B segment of 火gua:

— — — 風

————— 火

In Sgylogin's ACCRP ( although it's a Fanfic, it does have mysteriously deep relation to Akazukin Chacha itself. Even Yanchuu may have noticed this. Also Kayin's, MiaViolet's etc. These "Element" things are the shallowest way to proof this),

"Phoenix (Sword)" is described as the Beneficial Part of Elemental Fire. This is one reason we call the lower two 爻 of a 卦 in 7-system the B ( Beneficial ) segment.

Another reason is, in all lower segments, it has neither

—— ——

— — — : lower-seg of 闇

nor

— — —

—— ——: upper-seg of 闇

and has both

—————

— — — : lower-seg of 聖 (ex. 人's)

and

— — —

————— :upper-seg of 聖 (ex. 火's)

In all upper segments, it has the two segs of 闇 and do not have any segs of 聖. That's the reason we call the lower seg B ( Beneficial ) and the upper seg D (Destructive).

According to Ep. 31, we can also say the upper 爻 ( 風 (Orin) in 火's B-seg) of a segment the "Face" or "Form";

the lower 爻 ( 火 (Rascal) in 火's B-seg) of a segment the "Heart" or "Essence".

Another amazing thing we can see is, in ACCRP , the portal to Makai can be opened by the B-part of Fire ( called Phoenix ) combines with D-part of Water ( called Shiva ).

We know in Ep. 56, the portal to Makai can be opened by the ホーリーバード.

We suppose it's said ホーリーバード = B-segment of 火 combines with D-segment of 水, which is:

————— 土 4th

—— —— 月 3rd

— — — 風 2nd

————— 火 1st

Snapshot 07.08 -2011.06.11 10.12.38-

Ep. 55

We can see it has 1 + 3 + 2 + 1 = 7 "strokes", the "shrine" in Ep.55 also has 7 candles (?):

We assume these "7"s actually represent the "7" element we see in Akazukin Chacha itself, in the 4-levels above, we assert each element to a "stroke". And apparently, 1st must has 火, 2nd must has 風 and the +,-,0 must sum to 0, 3rd must have 月 and must sum to - , 4th must have 土. We assert them as:

—————  土  = +1

—— —— 月 木 = -1 + -1 = -2

— — — 日風水 = -1 + 0 + 1 = 0

—————  火  = +1

We can see the 日風水(2nd)-月木(3rd)-火(1st)-土(4th)-日風水(2nd)... is just the 生剋 / 法系 circle. On this 4-level formation, the 生剋 / 法系 circle shows in a "swirling" pattern.

We put the 4 level into linear / "shrine candles" formation, then it is:

火日風水月木土
the middle 水 may relate to the "waterfowl" form ホーリーバード. If we "rotate" this line one step right,


it will be 土火日-風-水月木. we can see it's all YIN on the right hand side and all YANG on the left hand side.

"Expanding"(衍) of Segments

Take B seg of 火 as example, we know it is:

— — — 風 <-

————— 火 <-

Now we "expand" these two 爻 to their 3-level (三性三爻卦) form, which is:

————— 日

————— 火

— — — 風 <-

—— —— 水

— — — 風

————— 火 <-

(火 is 火風水; 風 is 風火日, remember Ep. 42 Muhra Mahsa's 火よ風よ水よ and CD2 Orin's 風よ炎よ光よ. See The 8 stages Article )

As we explained before, highers represent "head" or "face", lowers represent "inner" or "heart" ( supported by Akazukin Chacha Ep. 31 itself ),

We can see in this 6-level formation, the two "sides" of 水 are balanced. We image these two Wind(風)s are two wings, and Fire(火) is what they bring. The "heart" 水 may relate to the "Fushichou often came to the seashore"(Ep. 29), and the "head" 日 is same as Piisuke's attribute.

This can be related to Ep. 30, Piisuke as the lost-ability form of Fushichou: Piisuke is the top 日("head") in this 6-level and lost the lower five ("body" or "ability" ).

We call this "expanded" 6-level form of B-seg of 火 the 不死鳥象 (Xiang of Fushichou).

Segments can also be expanded as 4-level form, for example, the 不死鳥象 above can be:

————— 日

————— 火

— — — 風

————— 火

We can see this 4-levels form is built from the D-seg of 風( the upper 爻 in 火風(B-seg of火)), and the B-seg of 火 ( the lower 爻 of 火風 ).

Remember our 三性二爻( as Ternary ) to二性三爻 ( as Binary ) conversion, the 4-levels above in 二性三爻 expression is:

—————

—————

—————

—— ——

—————

—————

This is 履卦 in ZhouYi.

Chara-二性三爻gua association

Chara-二性三爻gua association and the KingWen formation

Firstly we remember the (base) B-type Circle:

            お
!
! 
    セ                リ           
!   
! 
!   
!   
!   
!   
!   
  し                      ど
!  
! 
!     
!  
! 
        や          マ
We write down this formation as:

セおリ

し ど

やマ?

We can see the position of ? mark is almost perpendicular to the link line between リ and し.

We put Chacha on the ? mark position, and exchange リ and し, we have:

セおし

リ ど

やマチ

Translate Charas to 二性三爻system guas by the association we mentioned before, like Seravi = 乾, Orin = 坎....etc., we now have:

乾坎艮

兌 震

坤離巽

This formation is identical to the 後天八卦圖 ( KingWen bagua graph ).

With the Xiang(象)-吉凶 system we explained before, we translate the formation above ( same as 後天八卦圖 ) to Xiangs ( 乾 = Seravi = 月 = 寂; 艮 = Shiine = 日 = 仙; 坤 = Yakko = 土 = 荒 ... ), we have:

寂魔仙   凶凶吉

卒 導 = 凶 吉

荒治陣   凶吉吉

We can see the 吉 and 凶 are automatically divided into two halves.

Thus the four symmetrical 吉-凶 pairs are:

魔-治

仙-荒

導-卒

陣-寂

Amazingly, these four pairs are identical to the Mahoujin / A-type circle 4 pairs ( with Chacha/MP insert into the position between Riiya and Shiine ), as the pic:

Ilv

The graph on the lower left side, was discovered at the Tomb of 王盱, Han dynasty.

Therefore we have the second way to build traditional 後天八卦圖 now ( from those displays Akazukin Chacha shown by itself ):

  • In Mahoujin / A-type Circle, with Chacha ( actually MP ) inserted into the position between Riiya and Shiine,
  • we rotate the Dorothy-Riiya bar to the position between Shiine-Chacha / Seravi-Yakko,
  • then we can get a right and left reversed traditional 後天八卦圖 .

...editing...

A188

We can find out more interesting things on the Mahoujin formation above.

In the animation, we move Chacha to her 8-system position, then rotate clockwise the吉 group ( without Chacha / inordinary one ) and the 凶 group one step, the result is:

 おセ     魔寂

し  ど = 仙  導

リ  や   卒  荒

 マチ     治陣 

 So the ( recycling ) clockwise-spin chain is

治=>卒=>仙=>魔=>寂=>導=>荒=>陣=>治=>卒....
We call this the history circle, since it's similar to the "history" Seravi explained in Ep. 25. We can explain it as:

  • In a well-governed (治) realm, the foul people (卒) invaded ( revolted? ).
  • As the foul people (卒) invaded, warriors of the God of Good (仙) countered them.
  • As the warriors of Good God (仙) countered foul people, the Devil King (魔) came.
  • As the Devil King (魔) came, the country became desolate (寂).

The process above is similar to the "history" in Ep. 25

  • As the country became desolate (寂), some ( three? ) chosen people were leaded (導) by Fushichou / Good Spirit.
  • Those be leaded (導) (finally?) came into the most dangerous place (荒).
  • As those leaded ones in the dangerous place (荒), They found the Mahoujin (陣).

Above is similar to Ep. 48 itself.

  • As they completed the Mahoujin (陣), the realm was saved (治) again.

Above is as Ep.50, Ep.51.

This history itself is recycling.

...editing... 

In 7-system, we can regard 木 and 日 as two peaks since they are all —— —— or all ————— .

Thus we can find out that, the heptagon path on 法系 / 生剋 circle ( which can be constructed by many ways, the simplest one is moving Yakko to the position between Riiya and Shiine on Mahoujin, see the paragraph above .),

is almost the "rising" order from a peak to another peak. We know the ( wider ) heptagram path on this circle is the 道-薬-忍-攻-物-変-召 order in 法系, and 助-障 ( weakened beneficial and destructive ) path in 生剋.

We put Chacha on the opposite side of Dorothy-Marin link-line ( these two are 7th-召 and 1st-道 in 法系 ), then we can make the pic below:

8sys2
This order in 8-system ( start at 水-Dorothy ), which is 震-乾-離-兌-坤-巽-艮-坎, its four complementary pairs ( like 111 and 000, 011 and 100; 101 and 010 ) are balanced.

Also we can see the 8-system, binary number order in CD2 poster formation; and the7-system , Cosmos order in A27-A30 "4 stages with 2 attributes" formation ( the 9-system 聖 replaced with Chacha-人 ), their patterns are identical. We know that the CD2-poster formation and the 4-stage formation has "reversing" relation.

Side-Transformation of the Ascending-Descending Series

We have explained many ways to construct the 生剋( also 法系 ) circle, the simplest one is move Yakko to the position between Riiya and Shiine on Mahoujin, where Chacha / MP originally inserted into when Mahoujin in the 8-chara-circle form. This is the Red hood-Black hood relation.

The second way is from the number-magic-cube. Now we have the third, as the pic:

Jgli
When we rotate OP-circle's members one step by the order of Mahoujin circle, we have a formation identical to the 生剋 / 法系 circle. We call this method Side-Transformation (ST).

We can also see the ST of the ascending of B-type circle ( aka S-circle / Sqylogin-circle ), is alike to the ( base ) B-type circle itself, despite Yakko-Marin are exchanged.

The other two ST, 歸元-circle ( the descending-circle of B )'s; Sensei-circle ( the ascending-circle of A )'s. are related to the "pairing"s in Ep. 63 and Ep. 69.

Another method about all eight 二性三爻卦 generation

BRL

reminder

In Ep. 27 ~ Ep. 30, the "4 stages with two elementials per stage", we used this pic to explain its circular form and the relations between this and other displays in Akazukin Chacha itself.

Now exchange 木 and 土 in this circular form, we can see the original four "direction pairs" (N-S, E-W, A-B, C-X) now change into four "opposite-in-one-category" pairs. ( 風-土, 水-火, 日-月, 人-木 ).

Use "合" operation on every nearby two 三性三爻卦s (風卦, 火卦... etc..), then they can generate all 8 types of 二性三爻卦s, aka the complete tranditional Bagua ( 乾, 兌, 離... etc.).

We also can see many balenced or symmetrical results produced by this 木-土 exchanged circle when it combined with other displays of Akazukin Chacha itself.

First, in A36~A47, the "8 stages" ATE order, which is しマやどリ(チ)セお in Characters ( or 日木土水火(人)月風 in Elements), when we draw this chain on the 木-土 exchanged circle, and link the beginning 日 and end 風 together, we can see it's a symmetrical pattern with axis between 木-土 (originally 火-土 or Ep. 27's stage).

Pria69

火-土 exchanged 4-stage circle."鬼" is the ATE chain, which is 日-木-土-水-火-[人]-月-風 "精" is the SP chain omit 人, which is 月-土-日-木-水------風-火 or Se-Y-Si-M-D-O-R

Now omit the inordinary elemnet 人 in both the 木-土 exchanged circle and the SP-chain (of A36~A47 8 stages), we can see the 7-points SP-chain also forms a symmetrical pattern in this 7-points circle, with the axis on 木 ( originally 土, which is also the symmetric axis of the circle).

Kalt

Colored: 三性三爻 Black: traditional 二性三爻 Chacha / Element Number of 人 is both 0 and 8.

In the arrangement of traditional Bagua it generated, translate 卦 to charas (乾=Seravi, 兌=Riiya, 離=Marin.. etc, see "合 operation and the association between 8 Charas and traditional 8gua"), then link charas by Element Number order in this arrangemen. Then we can see this is also a symmetrical pattern with 木 as axis.

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