Kite's color notation/Temperament names: Difference between revisions

TallKite (talk | contribs)
No edit summary
TallKite (talk | contribs)
No edit summary
Line 13: Line 13:
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.
To make the names easier for non-Anglophones, the 5 vowels are the basic vowels found in Spanish, ah eh ee oh oo. In Spanish and many other languages, "th" would become "tr". See [[Color notation/Translations|Color Notation/Translations]].  
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. In Spanish and many other languages, "th" would become "tr". See [[Color notation/Translations|Color Notation/Translations]].  


Any comma < 256/243 = 90¢ is guaranteed to be the smallest ratio in its segment. Any comma > 9/8 = 204¢ is guaranteed to <u>not</u> be the smallest, and -bi must be appended to the name. If a comma is 90-204¢, let X = the sum of all the exponents of the monzo except the two exponent. If and only if X mod 7 is 4 or 5, 256/243 can be subtracted without changing the magnitude, and the comma is the 2nd smallest ratio.
Any comma < 256/243 = 90¢ is guaranteed to be the smallest ratio in its segment. Any comma > 9/8 = 204¢ is guaranteed to <u>not</u> be the smallest, and -bi must be appended to the name. If a comma is 90-204¢, let X = the sum of all the exponents of the monzo except the two exponent. If and only if X mod 7 is 4 or 5, 256/243 can be subtracted without changing the magnitude, and the comma is the 2nd smallest ratio.
Line 59: Line 59:
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.  
* Colors are always listed highest primes first.
* Colors are always listed highest primes first.
* 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 lower primes may also be accented: '''zo'''zotri'''gu''', tri'''zo'''-a'''gu'''gu
* Multipliers affect all subsequent syllables until the '''-a-''' delimiter occurs: trizogu = z<sup>3</sup>g<sup>3</sup>, but trizo-agu = z<sup>3</sup>g.
* Multipliers affect all subsequent syllables until the '''-a-''' delimiter occurs: trizogu = z<sup>3</sup>g<sup>3</sup>, but trizo-agu = z<sup>3</sup>g.
* The "a" in la and sa acts as a delimiter: trilayo = L<sup>3</sup>y and trila-triyo = 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 trila-triyo = 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).
* 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 (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.
Therefore if 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.