Kite's color notation: Difference between revisions

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* Put a hyphen after coco-, trico-, etc.

*Put a hyphen before and after "seventy", "eighty", etc.

The hyphen ~~after the magnitude~~ is omitted if it would create a subunit of 1 syllable. Thus layo, lalagu and sagugu are all unhyphenated. However, the last rule always holds, e.g. 284/243 = 22 * 3-5 * 71 is a sa-seventy-wo 3rd.

The hyphen is generally omitted if it would create a subunit of 1 syllable. Thus despite the 2nd rule, layo, lalagu and sagugu are all unhyphenated. And despite the 3rd rule, coyo, cozogu and cocowa are unhyphenated. However, the last rule always holds, e.g. 284/243 = 22 * 3-5 * 71 is a sa-seventy-wo 3rd.

==Converting a ratio to/from a color name ==

Often a ratio can be converted by breaking it down into simpler ratios with familiar color names, then adding. For example, 45/32 is 5/4 times 9/8, which is y3 plus w2. The colors and degrees are summed, making y4. The magnitude is not summed, and must be found either visually from the lattices above, or from the monzo directly. 45/32 = [-5 2 1>, and (2+1)/7 rounds to 0, so it's central, and 45/32 = y4.

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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. Usually the 9th ascends from the root, but in a sub9 chord it descends from the top note, and becomes the new root. Thus the s7 chord is contained in the upper four notes of the s9 chord, not the lower four.

Cs6 = Cg,r6 = 12/(12:10:8:7). 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.

Cs6 = Cg,r6 = 12/(12:10:8:7). 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/(N...7:3:5:1). 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. s6(zg5) or h7,zg9), etc.

@@ Line 406: / Line 406: @@
 * Put a hyphen after coco-, trico-, etc.
 *Put a hyphen before and after "seventy", "eighty", etc.
-The hyphen after the magnitude is omitted if it would create a subunit of 1 syllable. Thus layo, lalagu and sagugu are all unhyphenated. However, the last rule always holds, e.g. 284/243 =  2<sup>2</sup> * 3<sup>-5</sup> * 71 is a sa-seventy-wo 3rd.
+The hyphen is generally omitted if it would create a subunit of 1 syllable. Thus despite the 2nd rule, layo, lalagu and sagugu are all unhyphenated. And despite the 3rd rule, coyo, cozogu and cocowa are unhyphenated. However, the last rule always holds, e.g. 284/243 =  2<sup>2</sup> * 3<sup>-5</sup> * 71 is a sa-seventy-wo 3rd.
 ==Converting a ratio to/from a color name ==
 Often a ratio can be converted by breaking it down into simpler ratios with familiar color names, then adding. For example, 45/32 is 5/4 times 9/8, which is y3 plus w2. The colors and degrees are summed, making y4. The magnitude is <u>not</u> summed, and must be found either visually from the lattices above, or from the monzo directly. 45/32 = [-5 2 1>, and (2+1)/7 rounds to 0, so it's central, and 45/32 = y4.
@@ Line 482: / Line 482: @@
 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. Usually the 9th ascends from the root, but in a sub9 chord it descends from the top note, and becomes the new root. Thus the s7 chord is contained in the <u>upper</u> four notes of the s9 chord, not the lower four.
-Cs6 = Cg,r6 = 12/(12:10:8:7). 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.
+Cs6 = Cg,r6 = 12/(12:10:8:7). 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/(N...7:3:5:1).  <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. s6(zg5) or h7,zg9), etc.