Kite's ups and downs notation: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2015-08-31 20:44:07 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2015-08-31 23:10:21 UTC</tt>.

: The original revision id was <tt>~~557851235~~</tt>.

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16edo: C - C#/Db - D - D#/Eb - E - E# - Fb - F - F#/Gb - G - G#/Ab - A - A#/Bb - B - B# - Cb - C

In other words, sharp/flat, major/minor, and aug/dim all retain their melodic meaning but ~~are flipped harmonically~~. Perfect and natural are unaffected. Interval arithmetic in fourthwards edos: ~~First flip the meaning~~, then perform normal arithmetic, then ~~flip the meaning~~ again:

In other words, sharp/flat, major/minor, and aug/dim all retain their melodic meaning but the harmonic meaning is reversed. Perfect and natural are unaffected. Interval arithmetic in fourthwards edos is done using a simple trick: first reverse everything, then perform normal arithmetic, then reverse everything again.

M2 + M2 --> m2 + m2 = dim3 --> aug3

D to F# --> D to Fb = dim3 --> aug3

Eb + m3 --> E# + M3 = Gx --> Gbb

Eb + m3 --> E# + M3 = G## --> Gbb

In edos that are a multiple of 7, such as 14, 21, 28, etc. there are 0 keys per sharp/flat, and all intervals are perfect.

The chain of fifths in multiple-of-7 EDOs:

P2 - P6 - P3 - P7 - P4 - P1 - P5 - P2 - P6 - P3 - P7 etc.

F - C - G - D - A - E - B - F - C - G - D - A - E - B - F - C - G - D - A - E - B etc.

21edo: P1 - A1 - d2 - P2 - A2 - D3 - P3 - A3 - d4 - P4 - A4 - d5 - P5 - A5 - d6 - P6 - A6 - D7 - P7 - A7 - d8 - P8

21edo: C - C^ - Dv - D - D^ - Ev - E - E^ - Fv - F - F^ - Gv - G - G^ - Av - A - A^ - Bv - B - B^ - Cv - C

Just as ups and downs aren't needed in 19edo, sharps and flats aren't needed in 21edo. However they can be used for familiarity's sake: an A major chord can be written A - C#^ - E.

==__22edo chord names__==

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0-7-12 = A,A5

0-8-11 = sus4

21edo: D * * E * * F * * G * * A * * B * * C * * D, zero keys per #/b.

chord components: P1 ^P1/vvP2 vP2 P2 ^P2 vP3 P3 ^P3 vP4 P4 ^P4 vP5 P5 ^P5 vP6 P6 ^P6 vP7 P7 ^P7 ^^P7/vP8

Because everything is perfect, the quality can be omitted if we use the mid symbol "~".

~1 ^1/vv2 v2 2 ^2 v3 3 ^3 v4 4 ^4 v5 5 ^5 v6 6 ^6 v7 7 ^7 ^^7/v8

chord roots: I ^I vII II ^II vIII III vIII vIV IV ^IV vV V ^V vVI VI ^VI vVII VII ^VII vI

Quality can also be omitted in the chord names:

0-3-12 = sus2

0-4-12 = vv or sus^2

0-5-12 = v

0-6-12 = ~

0-7-12 = ^

0-8-12 = ^^ or susv4

0-9-12 = sus4

0-6-11 = ~,v5

0-7-12-19 = ^7

0-7-12-18 = ^,~7

0-7-12-17 = ^,v7

0-7-12-16 = ^6

0-7-12-15 = ^,~6

0-7-12-14 = ^,v6

0-6-12-19 = ~,^7

0-6-12-18 = ~7

0-6-12-17 = ~,v7

0-6-12-16 = ~,^6

0-6-12-15 = ~6

0-6-12-14 = ~,v6

24edo: D * * * E * F * * * G * * * A * * * B * C * * * D, 2 keys per #/b.

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