Kite's color notation: Difference between revisions
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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#. | 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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|— | |— | ||
|bi ("bee") | |bi ("bee") | ||
| | |double | ||
|- | |- | ||
|3 | |3 | ||
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|— | |— | ||
|tri ("tree") | |tri ("tree") | ||
| | |triple | ||
|- | |||
| colspan="7" | | |||
|quad | |||
|quadruple | |||
|- | |- | ||
| 5 | | 5 | ||
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| — | | — | ||
| quin | | quin | ||
| | | quintuple | ||
|- | |- | ||
|7 | |7 | ||
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| — | | — | ||
|sep | |sep | ||
| | |septuple | ||
|- | |- | ||
|11 | |11 | ||
| | |(i)lo | ||
|1o | |1o | ||
|lu | |lu | ||
| 1u | | 1u | ||
| | |(i)la | ||
|1a | |1a | ||
|le | |le | ||
| | |11-fold | ||
|- | |- | ||
|13 | |13 | ||
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|3a | |3a | ||
|the | |the | ||
| | |13-fold | ||
|- | |- | ||
|17 | |17 | ||
|so | |(i)so | ||
|17o | |17o | ||
|su | |su | ||
|17u | |17u | ||
| | |(i)sa | ||
|17a | |17a | ||
|se | |se | ||
| | |17-fold | ||
|- | |- | ||
|19 | |19 | ||
| | |(i)no | ||
|19o | |19o | ||
| | |(i)nu | ||
|19u | |19u | ||
|na | |na | ||
|19a | |19a | ||
|ne | |ne | ||
| | |19-fold | ||
|- | |- | ||
|23 | |23 | ||
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| 23a | | 23a | ||
|twethe | |twethe | ||
| | |23-fold | ||
|} | |} | ||
Higher primes: 29o = tweno, 31o = thiwo, 37o = thiso, 41o = fowo, 43o = fotho, 47o = foso, 53o = fitho, 59o = fino, 61o = siwo, 67o = siso. | Higher primes: 29o = tweno, 31o = thiwo, 37o = thiso, 41o = fowo, 43o = fotho, 47o = foso, 53o = fitho, 59o = fino, 61o = siwo, 67o = siso. | ||
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!meaning | !meaning | ||
!example | !example | ||
|- | |- | ||
| Wa- | | Wa- | ||
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* "wa" means both "3-all" and "-one-all" (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. | ||
* "lo" means both "11-over" and "low", as in "low C". Thus 1o by itself becomes "ilo". | |||
* "lo" means both "11-over" and "low", as in "low C". Thus 1o | * "la" means both "11-all" and "large", and also the solfege note La. Thus 1a by itself becomes "ila". | ||
* " | * "so" means both "17-over" and the solfege note So. Thus 17o by itself becomes "iso". | ||
* "so" means both "17-over" and the solfege note So. Thus 17o | * "sa" means both "17-all" and "small", and also the Saregam note Sa. Thus 17a by itself becomes "isa". | ||
* "no" means both "19-over" and "omit", as in no3. Thus 19o | * "no" means both "19-over" and "omit", as in no3. Thus 19o by itself becomes "ino". | ||
* "nu" means both "19-under" and "new", as in "the new key". Thus 19u | * "nu" means both "19-under" and "new", as in "the new key". Thus 19u by itself becomes "inu". | ||
Temperaments use "virtual colors" represented with ^ v and / \: | Temperaments use "virtual colors" represented with ^ v and / \: | ||