Kite's color notation: Difference between revisions
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* Most importantly, one can name not only notes but also intervals. As a result, color notation can name scales, chords, chord progressions, and even prime subgroups and temperaments. | * Most importantly, one can name not only notes but also intervals. As a result, color notation can name scales, chords, chord progressions, and even prime subgroups and temperaments. | ||
'''Colorspeak''' is the term for spoken color notation. It's designed to be easily pronounced no matter what one's native language is and also to be very concise; almost every element of colorspeak is one syllable ending with a vowel. The five basic vowels are pronounced | '''Colorspeak''' is the term for spoken color notation. It's designed to be easily pronounced no matter what one's native language is and also to be very concise; almost every element of colorspeak is only one short syllable ending with a vowel. The five basic vowels are pronounced {{w|open central unrounded vowel|/a/}}, {{w|open-mid front unrounded vowel|/ɛ/}}, {{w|close front unrounded vowel|/i/}}, {{w|mid back rounded vowel|/o/}} and {{w|close back rounded vowel|/u/}} (as in m'''a''', m'''e'''t, m'''e''', m'''ow''', and m'''oo''') by an English speaker, but perhaps differently by others (e.g. perhaps {{w|close-mid front unrounded vowel|/e/}} instead of {{nowrap|/ɛ/}}). | ||
== Color names for primes 3, 5, and 7 == | == Color names for primes 3, 5, and 7 == | ||
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The general term for large/small/central is '''magnitude'''. Only intervals have a magnitude, notes never do, and L and s never appear on the staff. A ratio's magnitude is the sum of all the [[monzo]] exponents except the first one, divided by 7, and rounded off. {{nowrap|0 {{=}} central|1 {{=}} large|2 {{=}} double large}}, etc. {{nowrap|81/64 {{=}} {{vector| -6 4 }}}}, and 4/7 rounds to 1, so 81/64 is a lawa 3rd = Lw3. Similarly, {{nowrap|135/128 {{=}} {{vector| -7 3 1 }}}} is a layo unison = Ly1. Unfortunately, magnitudes do not add up predictably like colors and degrees: {{nowrap|w2 + w2 {{=}} Lw3}}. | The general term for large/small/central is '''magnitude'''. Only intervals have a magnitude, notes never do, and L and s never appear on the staff. A ratio's magnitude is the sum of all the [[monzo]] exponents except the first one, divided by 7, and rounded off. {{nowrap|0 {{=}} central|1 {{=}} large|2 {{=}} double large}}, etc. {{nowrap|81/64 {{=}} {{vector| -6 4 }}}}, and 4/7 rounds to 1, so 81/64 is a lawa 3rd = Lw3. Similarly, {{nowrap|135/128 {{=}} {{vector| -7 3 1 }}}} is a layo unison = Ly1. Unfortunately, magnitudes do not add up predictably like colors and degrees: {{nowrap|w2 + w2 {{=}} Lw3}}. | ||
Colors can be doubled or tripled, which are abbreviated '''bi-''' ( | Colors can be doubled or tripled, which are abbreviated '''bi-''' ("b{{w|close front unrounded vowel|ee}}") and '''tri-''' ("tr{{w|close front unrounded vowel|ee}}"): 49/25 is a bizogu 9th = zzgg9, and 128/125 is a trigu 2nd = ggg2. Bi- is only used if it shortens the name: 25/16 is a yoyo 5th, not a biyo 5th. Likewise with magnitudes: double-large is lala and triple-large is trila. For quadruple, etc., see [[#Exponents]]. | ||
Colors using only one prime above 3 are called '''primary''' colors. Thus gu and yoyo are primary and ruyo is non-primary. | Colors using only one prime above 3 are called '''primary''' colors. Thus gu and yoyo are primary and ruyo is non-primary. | ||
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Colors for primes greater than 7 are named after the number itself, using the prefix '''i-''' for disambiguation as needed: | Colors for primes greater than 7 are named after the number itself, using the prefix '''i-''' for disambiguation as needed: | ||
{{nowrap|'''Lo''' {{=}} 11-over|'''lu''' {{=}} 11-under}}, and {{nowrap|'''la''' {{=}} 11-all}} = 2.3.11. Because "lo C" sounds like "low C", lo when by itself becomes '''ilo''' (/ilo/). But when with other syllables, it doesn't need i-, as in {{nowrap|11/7 {{=}} loru 5th}}. La when by itself becomes '''ila''', to avoid confusion with the solfege note La, and also with La for large. Lo and lu are abbreviated to '''1o''' and '''1u''' on the score and in interval names and chord names, e.g. ilo A = 1oA, ilo 4th = 1o4 = 11/8, and C ilo seven = C1o7 = 1/1 - 11/9 - 3/2 - 11/6 on C. Lolo is written 1oo. The associated color is lavender (mnemonic: "e-leven-der"), which refers to both ilo and lu, since they are only [[243/242 |7.1{{c}}]] apart. Lavender is a '''pseudocolor''' that implies the [http://x31eq.com/cgi-bin/rt.cgi?ets=24_17&limit=2_3_11 Lulu aka Neutral] temperament. IIo notes could be called lovender, and lu notes could be called luvender. Both are "shades" of lavender. | {{nowrap|'''Lo''' {{=}} 11-over|'''lu''' {{=}} 11-under}}, and {{nowrap|'''la''' {{=}} 11-all}} = 2.3.11. Because "lo C" sounds like "low C", lo when by itself becomes '''ilo''' "ee-LOW" (/ilo/). But when with other syllables, it doesn't need i-, as in {{nowrap|11/7 {{=}} loru 5th}}. La when by itself becomes '''ila''', to avoid confusion with the solfege note La, and also with La for large. Lo and lu are abbreviated to '''1o''' and '''1u''' on the score and in interval names and chord names, e.g. ilo A = 1oA, ilo 4th = 1o4 = 11/8, and C ilo seven = C1o7 = 1/1 - 11/9 - 3/2 - 11/6 on C. Lolo is written 1oo. The associated color is lavender (mnemonic: "e-leven-der"), which refers to both ilo and lu, since they are only [[243/242 |7.1{{c}}]] apart. Lavender is a '''pseudocolor''' that implies the [http://x31eq.com/cgi-bin/rt.cgi?ets=24_17&limit=2_3_11 Lulu aka Neutral] temperament. IIo notes could be called lovender, and lu notes could be called luvender. Both are "shades" of lavender. | ||
(One might be tempted to write 11o instead of 1o. This would work on a score, but would be confusing in chord names. The triad C11o would look like a diminished 11th chord. In general, color notation avoids naming primes with the numbers found in chord names, which are 2 4 5 6 7 9 11 and 13.) | (One might be tempted to write 11o instead of 1o. This would work on a score, but would be confusing in chord names. The triad C11o would look like a diminished 11th chord. In general, color notation avoids naming primes with the numbers found in chord names, which are 2 4 5 6 7 9 11 and 13.) | ||
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The triyo unison can be written as y<sup>3</sup>1 for, but it's more convenient (as well as closer to the spoken form) to write 3y1. Trilo is written 3(1o) to distinguish it from 31o, thirty-one-over. | The triyo unison can be written as y<sup>3</sup>1 for, but it's more convenient (as well as closer to the spoken form) to write 3y1. Trilo is written 3(1o) to distinguish it from 31o, thirty-one-over. | ||
We've seen bi- for double and tri- for triple. Quadruple and quintuple are abbreviated '''quad-''' and '''quin-''', as in quadyo or quingu. Colorspeak syllables usually end in one of the five basic vowels. Quad and quin are both exceptions, so quad may optionally be spoken as | We've seen bi- for double and tri- for triple. Quadruple and quintuple are abbreviated '''quad-''' and '''quin-''', as in quadyo or quingu. Colorspeak syllables usually end in one of the five basic vowels. Quad and quin are both exceptions, so quad may optionally be spoken as "kwah" (/kwä/), and quin as "kwee" (/kwi/). | ||
Except for quad, all exponent syllables are prime numbers. Septuple is '''sep-'''. Above 7, all exponent syllables are the root color word plus -e for exponent. Eleven-fold is '''le-''' = "e'''<u>l</u>'''even '''<u>e</u>'''xponent", pronounced as in "<u>le</u>ns". Thirteen-fold is '''the-''' as in "<u>the</u>saurus". Note that sep- means seven-fold and '''se-''' means seven<u>teen</u>-fold. | Except for quad, all exponent syllables are prime numbers. Septuple is '''sep-'''. Above 7, all exponent syllables are the root color word plus -e for exponent. Eleven-fold is '''le-''' = "e'''<u>l</u>'''even '''<u>e</u>'''xponent", pronounced as in "<u>le</u>ns". Thirteen-fold is '''the-''' as in "<u>the</u>saurus". Note that sep- means seven-fold and '''se-''' means seven<u>teen</u>-fold. | ||
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==Ups and downs, lifts and drops, plain and mid== | ==Ups and downs, lifts and drops, plain and mid== | ||
Color notation merely renames ratios more conveniently, and strictly speaking, it only applies to just intonation. However, ratios are often used to loosely describe intervals in [[EDO | edos]], and colors can be used as well. A more precise notation uses [[Ups and Downs Notation | '''ups''' '''and''' '''downs''']] (^ and v) as "virtual colors", accidentals that always map to exactly one edostep. Ups and downs are used on the score just like color accidentals are. Notes are named e.g. up C sharp = ^C#. [[Sharpness | Sharp-1 and flat-1]] edos don't require ups and downs. | Color notation merely renames ratios more conveniently, and strictly speaking, it only applies to just intonation. However, ratios are often used to loosely describe intervals in [[EDO | edos]], and colors can be used as well. A more precise notation uses [[Ups and Downs Notation |'''ups''' '''and''' '''downs''']] (^ and v) as "virtual colors", accidentals that always map to exactly one edostep. Ups and downs are used on the score just like color accidentals are. Notes are named e.g. up C sharp = ^C#. [[Sharpness | Sharp-1 and flat-1]] edos don't require ups and downs. | ||
Unlike actual colors, virtual colors generally add up to something simpler, e.g. three of 22edo's ups adds up to an A1. Unlike actual colors, virtual colors combine with major, minor, etc. Intervals are named upmajor 3rd = ^M3, up 4th = ^4, downaug 5th = vA5, etc. | Unlike actual colors, virtual colors generally add up to something simpler, e.g. three of 22edo's ups adds up to an A1. Unlike actual colors, virtual colors combine with major, minor, etc. Intervals are named upmajor 3rd = ^M3, up 4th = ^4, downaug 5th = vA5, etc. | ||
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|- | |- | ||
! prime | ! prime | ||
! colspan="2" |-o ( | ! colspan="2" |-o ({{w|mid back rounded vowel|"oh"}}) for over | ||
! colspan="2" |-u ( | ! colspan="2" |-u ({{w|close back rounded vowel|"oo"}}) for under | ||
! colspan="2" |-a ( | ! colspan="2" |-a ({{w|open central unrounded vowel|"ah"}}) for all | ||
! colspan="2" |-e ( | ! colspan="2" |-e ({{w|open-mid front unrounded vowel|"eh"}}) for exponent | ||
|- | |- | ||
| 2 | | 2 | ||
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| (clear) | | (clear) | ||
| — | | — | ||
| bi ( | | bi ("b{{w|close front unrounded vowel|ee}}") | ||
| double | | double | ||
|- | |- | ||
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| wa (white) | | wa (white) | ||
| — | | — | ||
| tri ( | | tri ("tr{{w|close front unrounded vowel|ee}}") | ||
| triple | | triple | ||
|- | |- | ||
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| colspan="2" | slash | | colspan="2" | slash | ||
| refers collectively to both lifts and drops | | refers collectively to both lifts and drops | ||
|- | |||
| colspan="2" |inflection | |||
|refers collectively to both arrows and slashes | |||
|- | |||
| colspan="2" |alteration | |||
|refers collectively to both inflections and accidentals (sharps and flats) | |||
|- | |- | ||
| plain | | plain | ||