Kite's color notation/Temperament names: Difference between revisions
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To make the names easier for non-Anglophones, and to make the names quicker to say, the 5 vowels are the basic vowels found in Spanish, ah-eh-ee-oh-oo. Quin is an exception. In Spanish and many other languages, "th" would become "tr". See [[Color notation/Translations|Color Notation/Translations]]. Number words like bi or tri are always unaccented. Quad may optionally be spoken as "kwah", and quin as "kwih" or "kwee" or "keen". To emphasize the prime limit, the first occurrence of the highest prime is always accented: sasa-'''gu'''gu, bi'''ru'''yo, bi'''zo'''zogu. In longer names, the 1st occurrence of sa/la and/or of lower primes may also be accented: '''sa'''sa-'''gu'''gu, '''zo'''zotri'''gu'''. | To make the names easier for non-Anglophones, and to make the names quicker to say, the 5 vowels are the basic vowels found in Spanish, ah-eh-ee-oh-oo. Quin is an exception. In Spanish and many other languages, "th" would become "tr". See [[Color notation/Translations|Color Notation/Translations]]. Number words like bi or tri are always unaccented. Quad may optionally be spoken as "kwah", and quin as "kwih" or "kwee" or "keen". To emphasize the prime limit, the first occurrence of the highest prime is always accented: sasa-'''gu'''gu, bi'''ru'''yo, bi'''zo'''zogu. In longer names, the 1st occurrence of sa/la and/or of lower primes may also be accented: '''sa'''sa-'''gu'''gu, '''zo'''zotri'''gu'''. | ||
Any comma | Any comma smaller than 256/243 = 90¢ is guaranteed to be the smallest ratio in its segment. Any comma bigger than 9/8 = 204¢ is guaranteed to <u>not</u> be the smallest, and -bi or -tri must be appended to the name. If a comma is 90-204¢, let S = the sum of all the numbers in the monzo except the first one. If and only if S mod 7 is 4 or 5, 256/243 can be subtracted without changing the magnitude, and the comma is the 2nd smallest ratio. Any 204-294¢ comma is -bi, and any 408-498¢ comma is -tri. | ||
Sometimes the smallest ratio in a segment is a multiple of another comma. For example, the smallest ratio in the central segment of the zozogugu row is 441/400. But since this is (21/20)<sup>2</sup>, tempering it out would simply result in the Zogu temperament. Thus there is no Bizogu temperament, although there is a Bizogubi one. | Sometimes the smallest ratio in a segment is a multiple of another comma. For example, the smallest ratio in the central segment of the zozogugu row is 441/400. But since this is (21/20)<sup>2</sup>, tempering it out would simply result in the Zogu temperament. Thus there is no Bizogu temperament, although there is a Bizogubi one. | ||
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The taxicab distance and the cents together roughly indicate the damage of the temperament. Gubi is > 90¢ and not far away, and thus high damage. Layobi is > 90¢ but somewhat far away, and is medium damage. Sasa-quadyo is < 204¢ and quite far away, and low damage. | The taxicab distance and the cents together roughly indicate the damage of the temperament. Gubi is > 90¢ and not far away, and thus high damage. Layobi is > 90¢ but somewhat far away, and is medium damage. Sasa-quadyo is < 204¢ and quite far away, and low damage. | ||
4thward commas sharpen the 5th and 5thward ones flatten it. This indicates where in the scale tree compatible edos are likely to be. Thus temperaments that start with sa-, e.g. Sayo, tend to be compatible with sharp-5th edos 15, 17, 22, etc. And la- temperaments, e.g. Laru, tend to be compatible with edos 19, 21, 26, etc. Several caveats: central comma names like Triyo don't indicate 4thwd vs. 5thwd. Also, it's possible for a la- comma to be 4thwd if the color depth is >= 5 and the color is over, e.g. Laquinyo = Magic = (-10 -1 5). Sasa- or lala- commas are safe up to color depth 11. Furthermore, Layo, while quite 5thwd, is compatible only with accurate-5th edos like 12, 24, etc. | |||
Color names are easier than conventional temperament names for non-Anglophones to learn, spell, pronounce and remember. No need to learn obscure English words like porcupine and hedgehog. Color names don't rely on obscure facts to indicate extensions, such as that porcupines and hedgehogs both have quills. | Color names are easier than conventional temperament names for non-Anglophones to learn, spell, pronounce and remember. No need to learn obscure English words like porcupine and hedgehog. Color names don't rely on obscure facts to indicate extensions, such as that porcupines and hedgehogs both have quills. | ||
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== Rules for naming remote colors == | == Rules for naming remote colors == | ||
There can be more than one way to name a comma. To avoid duplicate names, there are naming rules. | There can be more than one way to name a comma. To avoid duplicate names, there are naming rules. | ||
* | * Adjacent multipliers are always listed largest first: tribi- not bitri-. | ||
* Bibi- is never used, use quad- instead. | |||
* Avoid using the -a- delimiter if possible: z<sup>4</sup>gg = bizozogu, not quadzo-agugu. | * Avoid using the -a- delimiter if possible: z<sup>4</sup>gg = bizozogu, not quadzo-agugu. | ||
Therefore if the name | Therefore if the color (the name minus the magnitude) starts with a multiplier word, and there's no -a- delimiter, that first multiplier word usually indicates the color GCD and thus the [[Pergen|pergen's]] split(s). e.g. bizozogu = (P8, P5/2, /1). In the list of colors below, an asterisk marks cases where this isn't possible, and the GCD is not obvious. See below for a possible solution. | ||
Hyphens are used to make the name easier to parse. There are strict rules for hyphenation, to ensure uniformity. Hyphens are inserted before every -a- delimiter and after the magnitude (after the final la- or sa-). However, the hyphen after the magnitude is omitted if it would create a subunit of 1 syllable. Thus Layo, Lalagu and Sagugu are unhyphenated. | Hyphens are used to make the name easier to parse. There are strict rules for hyphenation, to ensure uniformity. Hyphens are inserted before every -a- delimiter and after the magnitude (after the final la- or sa-). However, the hyphen after the magnitude is omitted if it would create a subunit of 1 syllable. Thus Layo, Lalagu and Sagugu are unhyphenated. | ||
Bi- is not used with primary colors (zogugu not zobigu, and zozotrigu not bizo-atrigu), unless preceded by another multiplier (tribigu not trigugu). Bi- is always used with compound colors, to indicate the GCD: bizogugu not zozoquadgu. | |||
There follows examples of remote colors, for illustration. These examples don't all correspond to musically useful temperaments. | There follows examples of remote colors, for illustration. These examples don't all correspond to musically useful temperaments. | ||
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z<sup>9</sup>g = tritrizo-agu | z<sup>9</sup>g = tritrizo-agu | ||
''<u>Possible solution to the GCD problem</u>: | ''<u>Possible solution to the GCD problem</u>: bi- + -a- = double-all, affects the whole name | ||
not ideal, because -a- is usually a delimiter, not an extender'' | |||
''z<sup>6</sup>g<sup>4</sup> = tribizo-aquadgu* = biatrizo-agugu?<br /> | ''z<sup>6</sup>g<sup>4</sup> = tribizo-aquadgu* = biatrizo-agugu?<br /> | ||
z<sup>6</sup>gg = tribizo-agugu* = biatrizo-agu?<br /> | |||
z<sup>6</sup>g<sup>8</sup> = tribizo-aquadbigu* = biatrizo-aquadgu?<br /> | |||
z<sup>8</sup>g<sup>6</sup> = quadbizo-atribigu* = biaquadzo-atrigu?<br /> | z<sup>8</sup>g<sup>6</sup> = quadbizo-atribigu* = biaquadzo-atrigu?<br /> | ||
z<sup>8</sup>gg = quadbizo-agugu* = biaquadzo-agu?<br /> | z<sup>8</sup>gg = quadbizo-agugu* = biaquadzo-agu?<br /> | ||
z<sup>9</sup>g<sup>6</sup> = tritrizo-atribigu* = triatrizo-agugu?<br /> | z<sup>9</sup>g<sup>6</sup> = tritrizo-atribigu* = triatrizo-agugu?<br /> | ||
z<sup>9</sup>g<sup>3</sup> = tritrizo-atrigu* = triatrizo-agu? | z<sup>9</sup>g<sup>3</sup> = tritrizo-atrigu* = triatrizo-agu?'' | ||
=== Tricolored examples === | === Tricolored examples === | ||