Kite's color notation: Difference between revisions

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A 9th chord contains a 3rd, 5th and 7th. An 11th chord contains all these plus a 9th. A 13th chord contains all these plus an 11th. The 5th, 9th and/or 13th default to wa. The 6th, 7th, and/or 11th default to the color of the 3rd. Thus Cy13 = w1 y3 w5 y7 w9 y11 w13, and Cy9 and Cy11 are subsets of this chord. However, ~~an add-11 chord~~ defaults to a wa ~~11, see~~ z7,11:

A 9th chord contains a 3rd, 5th and 7th. An 11th chord contains all these plus a 9th. A 13th chord contains all these plus an 11th. The 5th, 9th and/or 13th default to wa. The 6th, 7th, and/or 11th default to the color of the 3rd. Thus Cy13 = w1 y3 w5 y7 w9 y11 w13, and Cy9 and Cy11 are subsets of this chord. However, if a 6th, 7th or 11th is added, it defaults to wa. See z7,11:

[[File:Lattice64.png|660x660px]]

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Omissions are indicated by "no", the Hendrix chord might be Ch7z10no5. Unless using po or qu, enharmonic substitutions aren't allowed. 7/3 is a 10th, never a 9th unless it's a qu 9th (e.g. Ch7zq9no5). A no3 tetrad can also be written as a 5 chord with an added 6th or 7th: Cy6no3 = C5y6, and Cz7(zg5)no3 = C(zg5)z7.

The y,z7 chord is ~~also~~ called the h7 chord ("har-seven"), because it's part of the harmonic series. Ch9 = Cy,z7,w9 and Ch11 = Cy,z7,w9,1o11. The s7 ("sub-seven") chord is part of the subharmonic series. It's the first 7 subharmonics, with the 7th subharmonic becoming the root. Cs9 = Cr,g7,w9 and Cs11 = C1o11(1or5,1og9). Note that s7, ~~s9 and s11 are~~ completely different ~~chords~~. Cs6 = Cg,r6. Other than ~~this~~ chord, all harmonic numbers must be odd, Ch8 is invalid. For any odd number N > 7, ChN ~~would be~~ 1:3:5:7...N and CsN ~~would be~~ N/(1:3:5:7...N). Additions, alterations and omissions refer to degrees, not harmonics or subharmonics: Ch7,11 adds w11, not 1o11~~. Cs6(zg5) alters the w5, not the 5th subharmonic g3~~. Ch9no5 omits w5, not y3. However, all numbers > 13 refer to (sub)harmonics (e.g. Ch19no15).

The y,z7 chord is called the h7 chord ("har-seven"), because it's part of the harmonic series. Ch9 = Cy,z7,w9 and Ch11 = Cy,z7,w9,1o11. The s7 ("sub-seven") chord is part of the subharmonic series. It's the first 7 subharmonics, with the 7th subharmonic becoming the root. Cs9 = Cr,g7,w9 and Cs11 = C1o11(1or5,1og9). Note that s9 is not s7 plus a 9th, but a completely different chord. Cs6 = Cg,r6. Other than the s6 chord, all harmonic/subharmonic numbers must be odd, Ch6 and Ch8 are invalid. For any odd number N > 7, ChN is 1:3:5:7...N and CsN is N/(1:3:5:7...N). Additions, alterations and omissions refer to degrees, not harmonics or subharmonics: Ch7,11 adds w11, not 1o11. Ch9no5 omits w5, not y3. However, all numbers > 13 refer to (sub)harmonics, e.g. Ch9,15 adds y7 and Ch19no15 omits it.

Chords can be classified as '''bicolored''' (e.g. g7 or r6), '''tricolored''' (e.g. z7(zg5) or z,y6), '''quadricolored''' (e.g. s7(zg5) or h7,zg9), etc.

Chords can be classified as '''bicolored''' (e.g. g7 or r6), '''tricolored''' (e.g. z7(zg5) or z,y6), '''quadricolored''' (e.g. s6(zg5) or h7,zg9), etc.

== Chord Progressions, Keys and Modulations ==

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Rank-2 temperaments can be notated with ups and downs as well. Plain and mid are also used in this context. Some temperaments require an additional pair of virtual colors, '''lifts''' and '''drops''' (/ and \). Notes are named lift C = /C, downdrop F sharp = v\F#, etc. Intervals are named drop 4th = \4, uplift major 3rd = ^/M3, etc. Plain means neither up nor down nor lifted nor dropped. There may be upmid or liftmid intervals. Chords are named C-up lift-seven = C^,/7 = C ^E G /Bb, C uplift-seven = C^/7 = C ^/E G ^/Bb, etc. See [[Pergen|pergens]].

==Translations==

:''For translations of color notation terms into other languages, see [[Color notation/Translations]].'' [[Category:color_notation]] [[Category:ji]] [[Category:notation]]

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 [[File:Lattice63.png|639x639px]]
-A 9th chord contains a 3rd, 5th and 7th. An 11th chord contains all these plus a 9th. A 13th chord contains all these plus an 11th. The 5th, 9th and/or 13th default to wa. The 6th, 7th, and/or 11th default to the color of the 3rd. Thus Cy13 = w1 y3 w5 y7 w9 y11 w13, and Cy9 and Cy11 are subsets of this chord. However, an add-11 chord defaults to a wa 11, see z7,11:
+A 9th chord contains a 3rd, 5th and 7th. An 11th chord contains all these plus a 9th. A 13th chord contains all these plus an 11th. The 5th, 9th and/or 13th default to wa. The 6th, 7th, and/or 11th default to the color of the 3rd. Thus Cy13 = w1 y3 w5 y7 w9 y11 w13, and Cy9 and Cy11 are subsets of this chord. However, if a 6th, 7th or 11th is added, it defaults to wa. See z7,11:
 [[File:Lattice64.png|660x660px]]
@@ Line 243: / Line 243: @@
 Omissions are indicated by "no", the Hendrix chord might be Ch7z10no5. Unless using po or qu, <u>enharmonic substitutions aren't allowed</u>. 7/3 is a 10th, never a 9th unless it's a qu 9th (e.g. Ch7zq9no5). A no3 tetrad can also be written as a 5 chord with an added 6th or 7th: Cy6no3 = C5y6, and Cz7(zg5)no3 = C(zg5)z7.
-The y,z7 chord is also called the h7 chord ("har-seven"), because it's part of the harmonic series. Ch9 = Cy,z7,w9 and Ch11 = Cy,z7,w9,1o11. The s7 ("sub-seven") chord is part of the subharmonic series. It's the first 7 subharmonics, with the 7th subharmonic becoming the root. Cs9 = Cr,g7,w9 and Cs11 = C1o11(1or5,1og9). Note that s7, s9 and s11 are completely different chords. Cs6 = Cg,r6. Other than this chord, all harmonic numbers must be odd, Ch8 is invalid. For any odd number N > 7, ChN would be 1:3:5:7...N and CsN would be N/(1:3:5:7...N).  <u>Additions, a</u><u>lterations and omissions refer to degrees</u>, not harmonics or subharmonics: Ch7,11 adds w11, not 1o11. Cs6(zg5) alters the w5, not the 5th subharmonic g3. Ch9no5 omits w5, not y3. However, <u>all numbers > 13 refer to (sub)harmonics</u> (e.g. Ch19no15).
+The y,z7 chord is called the h7 chord ("har-seven"), because it's part of the harmonic series. Ch9 = Cy,z7,w9 and Ch11 = Cy,z7,w9,1o11. The s7 ("sub-seven") chord is part of the subharmonic series. It's the first 7 subharmonics, with the 7th subharmonic becoming the root. Cs9 = Cr,g7,w9 and Cs11 = C1o11(1or5,1og9). Note that s9 is not s7 plus a 9th, but a completely different chord. Cs6 = Cg,r6. Other than the s6 chord, all harmonic/subharmonic numbers must be odd, Ch6 and Ch8 are invalid. For any odd number N > 7, ChN is 1:3:5:7...N and CsN is N/(1:3:5:7...N).  <u>Additions, a</u><u>lterations and omissions refer to degrees</u>, not harmonics or subharmonics: Ch7,11 adds w11, not 1o11. Ch9no5 omits w5, not y3. However, <u>all numbers > 13 refer to (sub)harmonics</u>, e.g. Ch9,15 adds y7 and Ch19no15 omits it.
-Chords can be classified as '''bicolored''' (e.g. g7 or r6), '''tricolored''' (e.g. z7(zg5) or z,y6), '''quadricolored''' (e.g. s7(zg5) or h7,zg9), etc.
+Chords can be classified as '''bicolored''' (e.g. g7 or r6), '''tricolored''' (e.g. z7(zg5) or z,y6), '''quadricolored''' (e.g. s6(zg5) or h7,zg9), etc.
 == Chord Progressions, Keys and Modulations ==
@@ Line 278: / Line 278: @@
 Rank-2 temperaments can be notated with ups and downs as well. Plain and mid are also used in this context. Some temperaments require an additional pair of virtual colors, '''lifts''' and '''drops''' (/ and \). Notes are named lift C = /C, downdrop F sharp = v\F#, etc. Intervals are named drop 4th = \4, uplift major 3rd = ^/M3, etc. Plain means neither up nor down nor lifted nor dropped. There may be upmid or liftmid intervals. Chords are named C-up lift-seven = C^,/7 = C ^E G /Bb, C uplift-seven = C^/7 = C ^/E G ^/Bb, etc. See [[Pergen|pergens]].
 ==Translations==
-:''For translations of color notation terms into other languages, see [[Color notation/Translations]].''        [[Category:color_notation]]        [[Category:ji]]        [[Category:notation]]
+:''For translations of color notation terms into other languages, see [[Color notation/Translations]].''         [[Category:color_notation]]         [[Category:ji]]         [[Category:notation]]