Kite's color notation/Temperament names

Color notation can name every regular temperament. The name is based on the comma(s) tempered out. Words like large, small, double, etc. are abbreviated to make the names a reasonable length.

Double = bi- ("bee"), triple = tri- ("tree"), quadruple = quad-, quintuple = quin-

6-fold = tribi-, 7-fold = sep-, 8-fold = quabi-, 9-fold = tritri-, 10-fold = quinbi-

12-fold = quatri-, 14-fold = sepbi-, 15-fold = quintri-, 16-fold = quadquad-, etc.

11-fold, 13-fold, etc. can be abbreviated as well, but these commas occur so rarely, it may not be worthwhile to do so. Higher primes can use the color word for the prime, but with suffix -e for exponent

11 = le = "leh", 13 = the (unvoiced th), 17 = se, 19 = ne, 23 = twenty-the, etc.

Large = la-, small = sa-, double large = lala-, triple large = trila-, etc.

Even with these abbreviations, temperament names can get quite long. To make them quicker to rattle off, "bee" and "tree" are preferred over "bye" and "try", and quadbi is shortened to quabi.

La also means 11-all. The meaning will almost always be clear from context, however "this piece uses la notes" is ambiguous. To clarify, one should say either "large notes" (fifthward notes) or "ila notes" (11-limit notes). Likewise, sa also means 17-all, and "sa notes" should become either "small notes" or "isa notes".

La is also the La note in solfege, and Sa is the tonic in saregam. The meaning will always be clear from context. Notes are never large or small. In fixed-do countries, the chord ALw is "La lawa".

There can be more than one way to name a comma. to avoid duplicate names, there are naming rules:

Rules for naming remote colors and extreme magnitudes:

Colors are always listed highest primes first.

Multipliers affect all syllables up until the -a- delimiter occurs: trizogu = z³g³, but trizoagu = z³g.

The "a" in la and sa acts as a delimiter: trilayo = L³y and trilatriyo = L³y³

Multiplier syllables fuse into one word: tribizogu = (tribi)zogu = z⁶g⁶, not (tri)bizogu = z⁶g³.

Avoid using the -a- delimiter if possible: z⁴gg = bizozogu, not quadzoagugu

Therefore if the name starts with a multiplier word, and there's no -a- delimiter, that first multiplier word indicates the GCD and thus the pergen's split(s). e.g. bizozogu = (P8, P5/2, /1). (In the following list, an asterisk marks cases where this isn't possible, and the GCD is hidden.)

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 quabigu over quadgugu, and quinbigu over quingugu.

gg = gugu
zgg = zogugu
zzgg = bizogu
zzg = zozogu

3g = trigu
z+3g = zotrigu
zz+3g = zozotrigu
3z+3g = trizogu
3z+gg = trizoagugu
3z+g = trizoagu

4g = quadgu
z+4g = zoquadgu
2z+4g = bizogugu
3z+4g = trizoaquadgu
4z+4g = quadzogu
4z+3g = quadzoatrigu
4z+2g = bizozogu
4z+g = quadzoagu

5g = quingu
z+5g = zoquingu
2z+5g = zozoquingu
3z+5g = trizoaquingu
4z+5g = quadzoaquingu
5z+5g = quinzogu
5z+4g = quinzoaquadgu
5z+3g = quinzoatrigu
5z+2g = quinzoagugu
5z+g = quinzoagu

6g = tribigu
z+6g = zotribigu
2z+6g = bizotrigu
3z+6g = trizogugu
4z+6g = bizozotrigu
5z+6g = quinzoatribigu
6z+6g = tribizogu
6z+5g = tribizoaquingu
6z+4g = tribizoaquadgu*
6z+3g = trizozogu
6z+2g = tribizoagugu*
6z+g = tribizoagu

7g = sepgu
z+7g = zosepgu
2z+7g = zozosepgu
3z+7g = trizoasepgu
4z+7g = quadzoasepgu
5z+7g = quinzoasepgu
6z+7g = tribizoasepgu
7z+7g = sepzogu
7z+6g = sepzoatribigu
7z+5g = sepzoaquingu
7z+4g = sepzoaquadgu
7z+3g = sepzoatrigu
7z+2g = sepzoagugu
7z+g = sepzoagu

8g = quabigu
z+8g = zoquabigu
2z+8g = bizoquadgu
3z+8g = trizoaquabigu
4z+8g = quadzogugu
5z+8g = quinzoaquabigu
6z+8g = tribizoaquabigu*
7z+8g = sepzoaquabigu
8z+8g = quabizogu
8z+7g = quabizoasepgu
8z+6g = quabizoatribigu*
8z+5g = quabizoaquingu
8z+4g = quadzozogu
8z+3g = quabizoatrigu
8z+2g = quabizoagugu*
8z+g = quabizoagu

9g = tritrigu
z+9g = zotritrigu
2z+9g = zozotritrigu
3z+9g = trizotrigu
4z+9g = quadzoatritrigu
5z+9g = quinzoatritrigu
6z+9g = trizozotrigu
7z+9g = sepzoatritrigu
8z+9g = quabizoatritrigu
9z+9g = tritrizogu
9z+8g = tritrizoaquabigu
9z+7g = tritrizoasepgu
9z+6g = tritrizoatribigu*
9z+5g = tritrizoaquingu
9z+4g = tritrizoaquadgu
9z+3g = tritrizoatrigu*
9z+2g = tritrizoagugu
9z+g = tritrizoagu

possible solution to the GCD problem:

6z+4g = tribizoaquadgu* = bitrizoagugu?
6z+2g = tribizoagugu* = bitrizoagu?
6z+8g = tribizoaquabigu* = bitrizoaquadgu?
8z+6g = quabizoatribigu* = biquadzoatrigu?
8z+2g = quabizoagugu* = biquadzoagu?
(but it doesn't work for 9z+6g or 9z+3g)

another possible solution to the GCD problem:

bi- + -a- = double-all --> affects the whole name

6z+4g = tribizoaquadgu* = biatrizoagugu?
6z+2g = tribizoagugu* = biatrizoagu?
6z+8g = tribizoaquabigu* = biatrizoaquadgu?
8z+6g = quabizoatribigu* = biaquadzoatrigu?
8z+2g = quabizoagugu* = biaquadzoagu?
9z+6g = tritrizoatribigu* = triatrizoagugu?
9z+3g = tritrizoatrigu* = triatrizoagu

TRICOLORED COMMAS:

if ilo is single, it just gets tacked onto the beginning:

1o+z+2g = lozogugu
1o+2z+2g = lobizogu
1o+2z+g = lozozogu
1o+z+3g = lozotrigu
etc.

1oo+z+g = lolozogu
1oo+z+2g = lolozogugu = zobilogu? biloguazo?
1oo+2z+2g = bilozogu
1oo+2z+g = bilozoagu

1oo+z+3g = lolozotrigu
1oo+2z+3g = bilozoatrigu
1oo+3z+3g = lolotrizogu
1oo+3z+2g = lolotrizoagugu = biloguatrizo? trizoabilogu?
1oo+3z+g = lolotrizoagu

1ooozg = triloazogu
1ooozgg = triloazogugu
1ooozzgg = triloabizogu
1ooozzg = triloazozogu

1ooo+z+3g = triloazotrigu = zotrilogu?
1ooo+2z+3g = triloazozotrigu = zozotrilogu?
1ooo+3z+3g = trilozogu
1ooo+3z+2g = trilozoagugu
1ooo+3z+g = trilozoagu

QUADRICOLORED COMMAS:

if tho is single, it just gets tacked onto the beginning:

3o1uzg = tholuzogu
3o1uzgg = tholuzogugu
3o1uzzgg = tholubizogu
3o1uuzzg = thobiluzoagu
etc.

3oo1uzg = thotholuzogu
3oo1uzgg = thotholuzogugu
3oo1uzzg = thotholuzozogu
3oo1uzzgg = thotholubizogu
3oo1uuzg = bitholuazogu
3oo1uuzgg = bitholuazogugu = zobitholugu?
3oo1uuzzg = bitholuzoagu
3oo1uuzzgg = bitholuzogu
etc.