Kite's color notation: Difference between revisions
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'''So''' = 17-over, '''su''' = 17-under, and '''sa''' = 17-all, abbreviated as '''17o''', '''17u''' and '''17a'''. '''Iso''' is an alternate form of so, to distinguish it from the solfege syllable So. 17/12 = 17o5 = iso So. '''Isa''' is an alternate form of sa, to distinguish it from sa for small, and from the Indian saregam syllable Sa. | '''So''' = 17-over, '''su''' = 17-under, and '''sa''' = 17-all, abbreviated as '''17o''', '''17u''' and '''17a'''. '''Iso''' is an alternate form of so, to distinguish it from the solfege syllable So. 17/12 = 17o5 = iso So. '''Isa''' is an alternate form of sa, to distinguish it from sa for small, and from the Indian saregam syllable Sa. | ||
''' | '''No''' = 19-over, '''nu''' = 19-under, and '''na''' = 19-all, abbreviated as '''19o''', '''19u''' and '''19a'''. '''Ino''' is an alternate form of no, because "no 3rd" could mean either 19/16 or thirdless. '''Inu''' is an alternate form of nu, to distinguish "the nu chord" from "the new chord". | ||
The prefix i- is only used when confusion is possible. Thus 19/15 = nogu 4th | The prefix i- is only used when confusion is possible. Thus 19/15 = nogu 4th not inogu 4th, and 2.3.5.17.19 (implied by 12edo) is yasana not yasaina. | ||
'''Twetho''' = 23-over, '''twethu''' = 23-under, and '''twetha''' = 23-all, abbreviated as '''23o''', '''23u''' and '''23a'''. 2.3.5.7.23 = yaza23a = yazatwetha. 23/16 = 23o5 = twetho 5th, and 23/22 = 23o1u2 = twetholu 2nd. 529/512 = 23oo2 = bitwetho 2nd (not twethotho, because that means 23-over 13-over). | '''Twetho''' = 23-over, '''twethu''' = 23-under, and '''twetha''' = 23-all, abbreviated as '''23o''', '''23u''' and '''23a'''. 2.3.5.7.23 = yaza23a = yazatwetha. 23/16 = 23o5 = twetho 5th, and 23/22 = 23o1u2 = twetholu 2nd. 529/512 = 23oo2 = bitwetho 2nd (not twethotho, because that means 23-over 13-over). | ||
Similarly, '''tweno/-nu/-na''' = 29o/29u/29a, '''thiwo/-wu/-wa''' = 31o/31u/31a, etc. The abbreviations are '''twe-''', '''thi-''', '''fo-''', '''fi-''' and '''si-'''. | Similarly, '''tweno/-nu/-na''' = 29o/29u/29a, '''thiwo/-wu/-wa''' = 31o/31u/31a, etc. The abbreviations are '''twe-''', '''thi-''', '''fo-''', '''fi-''' and '''si-'''. Note that wa by itself means 3-limit, but -wa as a suffix means "-one-all". | ||
{| class="wikitable" | {| class="wikitable" | ||
! rowspan="2" |prime | ! rowspan="2" |prime | ||
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*Put a hyphen before and after "seventy", "eighty", 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 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. | ||
==Converting a | ==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. | 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. | ||
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[[File:Notation example 2.png|786x786px]] | [[File:Notation example 2.png|786x786px]] | ||
Color notation can optionally be made more similar to Sagittal notation by including two more accidentals, '''p''' and '''q''' (long forms '''po''' and '''qu''' = " | Color notation can optionally be made more similar to Sagittal notation by including two more accidentals, '''p''' and '''q''' (long forms '''po''' and '''qu''' = "coo"), to indicate raising/lowering by a pythagorean comma. (See [http://tallkite.com/misc_files/Sagittal-JI-Translated-To-Colors.png Sagittal-JI-Translated-To-Colors.png].) <u>Adding po raises the degree by one</u>. For example, adding po to yo F# makes yopo Gb. Changing the degree allows trills to always be written as a 2nd, less cluttered.[[File:Notation example 5a.png|992x992px]] | ||
L and s never appear on the staff. Tripled colors are written as y3 not y<sup>3</sup> or yyy. In MuseScore, color accidentals are made by adding fingerings to the notes, then editing the fingering text. A fingering can be copied from one note and pasted to another note. The font used here is Arial Black. | L and s never appear on the staff. Tripled colors are written as y3 not y<sup>3</sup> or yyy. In MuseScore, color accidentals are made by adding fingerings to the notes, then editing the fingering text. A fingering can be copied from one note and pasted to another note. The font used here is Arial Black. | ||
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* w1 z4 w5 z7 = Cz7(z4) or C(z4),z7 = "C zo-seven zo-four" or "C zo-four zo-seven" | * w1 z4 w5 z7 = Cz7(z4) or C(z4),z7 = "C zo-seven zo-four" or "C zo-four zo-seven" | ||
Omissions are indicated by "no". The Hendrix chord | Omissions are indicated by "no". The Hendrix chord is Ch7z10no5. (To write it as a sharp-9 chord, use po/qu: 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 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. | 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. | ||
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Homonyms: | Homonyms: | ||
* "wa" means both "3-all" and "one" (e.g. thiwa means 31-all). The meaning is always clear from context. | * "wa" means both "3-all" and "-one-all" (e.g. thiwa means 31-all). The meaning is always clear from context. | ||
* "la" means both "11-all" and "large", and also the solfege note La. Thus | * "la" means both "11-all" and "large", and also the solfege note La. Thus 1a may become "ila". | ||
* "lo" means both "11-over" and "low", as in "low C". Thus | * "lo" means both "11-over" and "low", as in "low C". Thus 1o may become "ilo". | ||
* "sa" means both "17-all" and "small", and also the Saregam note Sa. Thus 17a may become "isa". | * "sa" means both "17-all" and "small", and also the Saregam note Sa. Thus 17a may become "isa". | ||
* "so" means both "17-over" and the solfege note So. Thus 17o may become "iso". | * "so" means both "17-over" and the solfege note So. Thus 17o may become "iso". | ||