Kite's color notation/Temperament names: Difference between revisions
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Some 5-limit examples, sorted by color depth. Many more examples can be found on the [[Comma|Commas]] page. | Some 5-limit examples, sorted by color depth. Many more examples can be found on the [[Comma|Commas]] page. | ||
# [[Schismatic]] = Layo = LyT, [[Mavila]] = Layo-two = LyT2, [[Superpyth]] = Sayo = syT. [[Meantone]] = Gu = gT, [[Father]] = Gu-two = gT2. | # [[Schismatic]] = Layo = LyT, [[Mavila]] = Layo-two = LyT2, [[Superpyth]] = Sayo = syT. [[Meantone]] = Gu = gT, [[Father]] = Gu-two = gT2. | ||
# [[Dicot]] = Yoyo = yyT, [[Immunity family|Immunity]] = | # [[Dicot]] = Yoyo = yyT, [[Immunity family|Immunity]] = Sasa-yoyo = ssyyT. [[Bug]] = Gugu = ggT, [[Diaschismic]] = Sagugu = sggT, [[Beatles]] = Sasa-gugu = ssggT. | ||
# [[Porcupine]] = Triyo = y<sup>3</sup>T. [[Augmented]] = Trigu = g<sup>3</sup>T, [[Laconic family|Laconic]] = Latrigu = Lg<sup>3</sup>T, [[Misty comma|Misty]] = | # [[Porcupine]] = Triyo = y<sup>3</sup>T. [[Augmented]] = Trigu = g<sup>3</sup>T, [[Laconic family|Laconic]] = Latrigu = Lg<sup>3</sup>T, [[Misty comma|Misty]] = Sasa-trigu = ssg<sup>3</sup>T. | ||
# [[Negri]] = Laquadyo = Ly<sup>4</sup>T, [[Tetracot]] = Saquadyo = sy<sup>4</sup>T, [[Vulture]] = | # [[Negri]] = Laquadyo = Ly<sup>4</sup>T, [[Tetracot]] = Saquadyo = sy<sup>4</sup>T, [[Vulture]] = Sasa-quadyo = ssy<sup>4</sup>T. [[Diminished]] = Quadgu = g<sup>4</sup>T. | ||
Multipliers like bi-, tri-, etc. can be combined: 6-fold = tribi-, 8-fold = quadbi-, 9-fold = tritri-, 10-fold = quinbi-, 12-fold = quadtri-, 14-fold = sepbi-, 15-fold = quintri-, 16-fold = quadquad-, etc. Higher primes use their color word, but with the suffix '''-e''' for exponent: | Multipliers like bi-, tri-, etc. can be combined: 6-fold = tribi-, 8-fold = quadbi-, 9-fold = tritri-, 10-fold = quinbi-, 12-fold = quadtri-, 14-fold = sepbi-, 15-fold = quintri-, 16-fold = quadquad-, etc. Higher primes use their color word, but with the suffix '''-e''' for exponent: | ||
* 11-fold = '''le-''' ("leh"), 13-fold = '''the-''' (unvoiced "th"). 17 = '''se-''', 19 = '''ne-''', 23 = '''twenty-the-''', 29 = '''twenty-ne-''', etc. | * 11-fold = '''le-''' ("leh"), 13-fold = '''the-''' (unvoiced "th"). 17 = '''se-''', 19 = '''ne-''', 23 = '''twenty-the-''', 29 = '''twenty-ne-''', etc. | ||
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* The "a" in la and sa acts as a delimiter: trilayo = L<sup>3</sup>y and trilatriyo = L<sup>3</sup>y<sup>3</sup> | * The "a" in la and sa acts as a delimiter: trilayo = L<sup>3</sup>y and trilatriyo = L<sup>3</sup>y<sup>3</sup> | ||
* [''Is this rule needed?''] Multiplier syllables fuse into one multiplier word: tribizogu = (tribi) x (zogu) = z<sup>6</sup>g<sup>6</sup>, not (tri) x (bizogu). | * [''Is this rule needed?''] Multiplier syllables fuse into one multiplier word: tribizogu = (tribi) x (zogu) = z<sup>6</sup>g<sup>6</sup>, not (tri) x (bizogu). | ||
* Avoid using the -a- delimiter if possible: z<sup>4</sup>gg = bizozogu, not | * Avoid using the -a- delimiter if possible: z<sup>4</sup>gg = bizozogu, not quadzo-agugu | ||
Therefore if the name starts with a multiplier word, and there's no -a- delimiter, that first multiplier word indicates the '''color GCD''' and thus the [[Pergen|pergen's]] split(s). e.g. bizozogu = (P8, P5/2, /1). In the | Therefore if the name starts with a multiplier word, and there's no -a- delimiter, that first multiplier word indicates the '''color GCD''' and thus the [[Pergen|pergen's]] split(s). e.g. bizozogu = (P8, P5/2, /1). In the list below, an asterisk marks cases where this isn't possible, and the GCD is hidden. | ||
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/or 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 triyo, sagugu and lalagu are unhyphenated. | |||
Gugu is generally preferred over bigu (zogugu not zobigu). But bizo is preferred over zozo sometimes to indicate the GCD, e.g. bizogugu not zozoquadgu. Likewise, tribigu is preferred over trigugu, as is quadbigu over quadgugu, etc. | Gugu is generally preferred over bigu (zogugu not zobigu). But bizo is preferred over zozo sometimes to indicate the GCD, e.g. bizogugu not zozoquadgu. Likewise, tribigu is preferred over trigugu, as is quadbigu over quadgugu, etc. | ||
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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g<sup>9</sup> = tritrigu<br /> | g<sup>9</sup> = tritrigu<br /> | ||
zg<sup>9</sup> = zotritrigu<br /> | zg<sup>9</sup> = zotritrigu<br /> | ||
zzg<sup>9</sup> = | zzg<sup>9</sup> = zozotritrigu<br /> | ||
z<sup>3</sup>g<sup>9</sup> = trizotrigu<br /> | z<sup>3</sup>g<sup>9</sup> = trizotrigu<br /> | ||
z<sup>4</sup>g<sup>9</sup> = quadzo-atritrigu<br /> | z<sup>4</sup>g<sup>9</sup> = quadzo-atritrigu<br /> | ||
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== Tricolored examples == | == Tricolored examples == | ||
if | if lu is not doubled or tripled, it just gets tacked onto the beginning: | ||
1uzgg = luzogugu<br /> | |||
1uzzgg = lubizogu<br /> | |||
1uzzg = luzozogu<br /> | |||
1uzg<sup>3</sup> = luzotrigu<br /> | |||
etc. | etc. | ||
1uuzg = luluzogu<br /> | |||
1uugg = bilugu<br /> | |||
1uuzgg = luluzogugu<br /> | |||
1uuzzzgg = biluzogu<br /> | |||
1uuzzg = biluzo-agu | |||
1uuzg<sup>3</sup> = luluzotrigu<br /> | |||
1uuzzg<sup>3</sup> = biluzo-atrigu<br /> | |||
1uuz<sup>3</sup>g<sup>3</sup> = lulutrizogu<br /> | |||
1uuz<sup>3</sup>gg = lulutrizo-agugu<br /> | |||
1uuz<sup>3</sup>g = lulutrizo-agu | |||
1u<sup>3</sup>zg = trilu-azogu<br /> | |||
1u<sup>3</sup>zgg = trilu-azogugu<br /> | |||
1u<sup>3</sup>zzgg = trilu-abizogu<br /> | |||
1u<sup>3</sup>zzg = trilu-azozogu | |||
1u<sup>3</sup>zg<sup>3</sup> = trilu-azotrigu<br /> | |||
1u<sup>3</sup>zzg<sup>3</sup> = trilu-azozotrigu<br /> | |||
1u<sup>3</sup>z<sup>3</sup>g<sup>3</sup> = triluzogu<br /> | |||
1u<sup>3</sup>z<sup>3</sup>gg = triluzo-agugu<br /> | |||
1u<sup>3</sup>z<sup>3</sup>g = triluzo-agu | |||
If the 2nd color could be merged with either the 1st color or the 3rd color, but not with both, it merges with whichever one has a larger exponent. Thus in these examples, zo merges with the tripled color, not the doubled color: | |||
1uuz<sup>6</sup>g<sup>3</sup> = lulu-trizozogu, not bilutrizo-atrigu<br /> | |||
1u<sup>3</sup>z<sup>6</sup>gg = triluzozo-agugu, not trilu-atribizo-agugu | |||
== Quadricolored examples == | == Quadricolored examples == | ||
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3o1uzg = tholuzogu<br /> | 3o1uzg = tholuzogu<br /> | ||
3o1uzgg = | 3o1uzgg = tholuzogugu<br /> | ||
3o1uzzgg = | 3o1uzzgg = tholubizogu<br /> | ||
3o1uuzzg = thobiluzo-agu<br /> | 3o1uuzzg = thobiluzo-agu<br /> | ||
etc. | etc. | ||
3oo1uzg = | 3oo1uzg = thotholuzogu<br /> | ||
3oo1uzgg = | 3oo1uzgg = thotholuzogugu<br /> | ||
3oo1uzzg = | 3oo1uzzg = thotholuzozogu<br /> | ||
3oo1uzzgg = | 3oo1uzzgg = thotholubizogu<br /> | ||
3oo1uuzg = bitholu-azogu<br /> | 3oo1uuzg = bitholu-azogu<br /> | ||
3oo1uuzgg = bitholu-azogugu<br /> | 3oo1uuzgg = bitholu-azogugu<br /> | ||