Kite's color notation: Difference between revisions
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Yo and ru intervals tend to be major, and gu and zo ones tend to be minor. But interval quality is redundant (if a third is yo, it must be major), it's not unique (there are other major thirds available), and quality isn't used with color names (see "Higher Primes" below for why). Instead of augmented and diminished, remote intervals are '''large''' (fifthward) and '''small''' (fourthward), written L and s, and sometimes abbreviated '''la''' and '''sa''' (especially in temperament names). '''Central''', the default, means neither large nor small. The '''magnitude''' is the sum all the monzo exponents except the first one, divided by 7, and rounded off. 0 = central, 1 = large, 2 = double large, etc. 81/64 = Lw3, 135/128 = Ly1. Unfortunately, magnitudes do not add up predictably like colors and degrees do: w2 + w2 = Lw3. | Yo and ru intervals tend to be major, and gu and zo ones tend to be minor. But interval quality is redundant (if a third is yo, it must be major), it's not unique (there are other major thirds available), and quality isn't used with color names (see "Higher Primes" below for why). Instead of augmented and diminished, remote intervals are '''large''' (fifthward) and '''small''' (fourthward), written L and s, and sometimes abbreviated '''la''' and '''sa''' (especially in temperament names). '''Central''', the default, means neither large nor small. The '''magnitude''' is the sum all the monzo exponents except the first one, divided by 7, and rounded off. 0 = central, 1 = large, 2 = double large, etc. 81/64 = Lw3, 135/128 = Ly1. Unfortunately, magnitudes do not add up predictably like colors and degrees do: w2 + w2 = Lw3. | ||
Colors can be doubled or tripled: 25/16 = yoyo 5th = yy5 and 128/125 = triple gu 2nd = g<sup>3</sup>2. Double and triple are often abbreviated '''bi-''' and '''tri-''', especially in temperament names such as biruyo and trigu. Quadruple and quintuple are abbreviated '''quad-''' and '''quin-''', as in quadyo or quingu. For sextuple, etc., see "Temperament Names" below. | Colors can be doubled or tripled: 25/16 = yoyo 5th = yy5 and 128/125 = triple gu 2nd = g<sup>3</sup>2. Double and triple are often abbreviated '''bi-''' and '''tri-''', especially in temperament names such as biruyo and trigu. Quadruple and quintuple are abbreviated '''quad-''' and '''quin-''', as in quadyo or quingu. For sextuple, etc., see "Temperament Names" below. | ||
Colors using only one prime above 3 are called '''primary''' colors. Thus gu and yoyo are primary and ruyo is non-primary. | |||
[[File:Lattice41a.png|833x833px]] | [[File:Lattice41a.png|833x833px]] | ||
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The double-large wa negative 2nd (LLw-2, the pyth comma) is simply called the wa comma. 3-limit commas such as L<sup>3</sup>w-2 = (-30, 19) can be abbreviated as w-19, the wa-19 comma. | The double-large wa negative 2nd (LLw-2, the pyth comma) is simply called the wa comma. 3-limit commas such as L<sup>3</sup>w-2 = (-30, 19) can be abbreviated as w-19, the wa-19 comma. | ||
''' | Compound, abbreviated '''co-''' or '''c''', is a conventional term that means widened by an octave. 15/4 is a compound yo 7th = coyo 7th = cy7. 5/1 is a double-compound yo 3rd = cocoyo 3rd = ccy3. More examples [[Gallery of just intervals#Intervals larger than an octave|here]]. | ||
== Note Names == | == Note Names == | ||
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Over = prime in the numerator, under = prime in the denominator. All = over, under or neither: wa = 3-limit, ya = 2.3.5, yaza = 2.3.5.7. | Over = prime in the numerator, under = prime in the denominator. All = over, under or neither: wa = 3-limit, ya = 2.3.5, yaza = 2.3.5.7. | ||
The multiplier bi- is only used for | The multiplier bi- is only used for non-primary colors like ruyo: 50/49 is biruyo, but 25/24 is yoyo not biyo. | ||
{| class="wikitable" style="text-align:center" | {| class="wikitable" style="text-align:center" | ||
|+ | |+ | ||
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|1029/1000 = Trizogu = z<sup>3</sup>g<sup>3</sup>, 343/320 = Trizo-agu = z<sup>3</sup>g | |1029/1000 = Trizogu = z<sup>3</sup>g<sup>3</sup>, 343/320 = Trizo-agu = z<sup>3</sup>g | ||
|- | |- | ||
| | |co- | ||
| style="text-align:center" |c | | style="text-align:center" |c | ||
|widened by an 8ve | |compound (conventional term for widened by an 8ve) | ||
|7/4 = zo 7th = z7, 7/2 = compound zo 7th = | |7/4 = zo 7th = z7, 7/2 = compound zo 7th = cozo 7th = cz7 | ||
|- | |- | ||
| -ward | | -ward | ||
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==Translations== | ==Translations== | ||
:''For translations of color notation terms into other languages, see [[Color notation/Translations]].'' | :''For translations of color notation terms into other languages, see [[Color notation/Translations]].'' [[Category:color_notation]] [[Category:ji]] [[Category:notation]] | ||