Kite's color notation: Difference between revisions
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The triyo unison can be written as y<sup>3</sup>1 for, but it's more convenient (as well as closer to the spoken form) to write 3y1. Trilo is written 3(1o) to distinguish it from 31o, thirty-one-over. | The triyo unison can be written as y<sup>3</sup>1 for, but it's more convenient (as well as closer to the spoken form) to write 3y1. Trilo is written 3(1o) to distinguish it from 31o, thirty-one-over. | ||
We've seen bi- for double and tri- for triple. Quadruple and quintuple are abbreviated '''quad-''' and '''quin-''', as in quadyo or quingu. Colorspeak syllables usually end in one of the five basic vowels. Quad and quin are both exceptions, so quad may optionally be spoken as | We've seen bi- for double and tri- for triple. Quadruple and quintuple are abbreviated '''quad-''' and '''quin-''', as in quadyo or quingu. Colorspeak syllables usually end in one of the five basic vowels. Quad and quin are both exceptions, so quad may optionally be spoken as /kwa/ or /kwä/, and quin as /kwi/. | ||
Except for quad, all exponent syllables are prime numbers. Septuple is '''sep-'''. Above 7, all exponent syllables are the root color word plus -e for exponent. Eleven-fold is '''le-''' = "e'''<u>l</u>'''even '''<u>e</u>'''xponent", pronounced as in "<u>le</u>ns". Thirteen-fold is '''the-''' as in "<u>the</u>saurus". Note that sep- means seven-fold and '''se-''' means seven<u>teen</u>-fold. | Except for quad, all exponent syllables are prime numbers. Septuple is '''sep-'''. Above 7, all exponent syllables are the root color word plus -e for exponent. Eleven-fold is '''le-''' = "e'''<u>l</u>'''even '''<u>e</u>'''xponent", pronounced as in "<u>le</u>ns". Thirteen-fold is '''the-''' as in "<u>the</u>saurus". Note that sep- means seven-fold and '''se-''' means seven<u>teen</u>-fold. | ||
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* Put a hyphen after the magnitude (after the final la- or sa-) | * Put a hyphen after the magnitude (after the final la- or sa-) | ||
* Put a hyphen after coco-, trico-, etc. | * Put a hyphen after coco-, trico-, etc. | ||
*Put a hyphen before and after "seventy", "eighty", etc. | * Put a hyphen before and after "seventy", "eighty", etc. | ||
The hyphen is generally omitted if it would create a subunit of 1 syllable. Thus despite the 2nd rule, layo, lalagu and sagugu are all unhyphenated. And despite the 3rd rule, coyo, cozogu and cocowa are unhyphenated. However, the last rule always holds, e.g. 284/243 = 2<sup>2</sup> * 3<sup>-5</sup> * 71 is a sa-seventy-wo 3rd. | The hyphen is generally omitted if it would create a subunit of 1 syllable. Thus despite the 2nd rule, layo, lalagu and sagugu are all unhyphenated. And despite the 3rd rule, coyo, cozogu and cocowa are unhyphenated. However, the last rule always holds, e.g. 284/243 = 2<sup>2</sup> * 3<sup>-5</sup> * 71 is a sa-seventy-wo 3rd. | ||
==Converting a ratio to/from a color name == | ==Converting a ratio to/from a color name == | ||
| Line 598: | Line 598: | ||
|- | |- | ||
! prime | ! prime | ||
! colspan="2" |-o ( | ! colspan="2" |-o (/o/ or /oʊ/) for over | ||
! colspan="2" |-u ( | ! colspan="2" |-u (/u/) for under | ||
! colspan="2" |-a ( | ! colspan="2" |-a (/a/ or /ä/) for all | ||
! colspan="2" |-e ( | ! colspan="2" |-e (/e/ or /ɛ/) for exponent | ||
|- | |- | ||
| 2 | | 2 | ||
| Line 608: | Line 608: | ||
| (clear) | | (clear) | ||
| — | | — | ||
| bi ("bee") | | bi (/biː/, "bee") | ||
| double | | double | ||
|- | |- | ||
| Line 616: | Line 616: | ||
| wa (white) | | wa (white) | ||
| — | | — | ||
| tri ("tree") | | tri (/tɻiː/, "tree") | ||
| triple | | triple | ||
|- | |- | ||
| Line 705: | Line 705: | ||
! Example | ! Example | ||
|- | |- | ||
| colspan="2" |central | | colspan="2" | central | ||
| refers to a ratio centrally located in the lattice | | refers to a ratio centrally located in the lattice | ||
| every ratio of odd limit < 81 is central (but only some > 81 are not central) | | every ratio of odd limit < 81 is central (but only some > 81 are not central) | ||
|- | |- | ||
| la- | | la- | ||
| style="text-align: center;" |L | | style="text-align: center;" | L | ||
| large, augmented by 2187/2048 from the central ratio | | large, augmented by 2187/2048 from the central ratio | ||
| 32/27 = wa 3rd = w3, 81/64 = lawa 3rd = Lw3 | | 32/27 = wa 3rd = w3, 81/64 = lawa 3rd = Lw3 | ||
|- | |- | ||
| sa- | | sa- | ||
| style="text-align: center;" |s | | style="text-align: center;" | s | ||
| small, diminished by 2187/2048 from the central ratio | | small, diminished by 2187/2048 from the central ratio | ||
| 27/16 = wa 6th = w6, 128/81 = sawa 6th = sw6 | | 27/16 = wa 6th = w6, 128/81 = sawa 6th = sw6 | ||
|- | |- | ||
| colspan="2" |magnitude | | colspan="2" | magnitude | ||
| refers to central, la, sa, lala, trisa, quadla, etc. | | refers to central, la, sa, lala, trisa, quadla, etc. | ||
| the sum of all prime exponents except the 1st, divided by 7 and rounded off | | the sum of all prime exponents except the 1st, divided by 7 and rounded off | ||
|- | |- | ||
| colspan="2" |i- | | colspan="2" | i- | ||
| disambiguation prefix | | disambiguation prefix | ||
| no 3rd = omit the 3rd, but ino 3rd = 19/16 | | no 3rd = omit the 3rd, but ino 3rd = 19/16 | ||
| Line 732: | Line 732: | ||
|- | |- | ||
| co- | | co- | ||
| style="text-align: center;" |c | | style="text-align: center;" | c | ||
| compound (conventional term for widened by an 8ve) | | compound (conventional term for widened by an 8ve) | ||
| 7/4 = zo 7th = z7, 7/2 = compound zo 7th = cozo 7th = cz7 | | 7/4 = zo 7th = z7, 7/2 = compound zo 7th = cozo 7th = cz7 | ||
|- | |- | ||
| har | | har | ||
| style="text-align: center;" |h | | style="text-align: center;" | h | ||
| refers to a harmonic series (otonal) chord | | refers to a harmonic series (otonal) chord | ||
| [[4:5:6:7]] = C har-seven = Ch7 | | [[4:5:6:7]] = C har-seven = Ch7 | ||
|- | |- | ||
| sub | | sub | ||
| style="text-align: center;" |s | | style="text-align: center;" | s | ||
| refers to a subharmonic series (utonal) chord | | refers to a subharmonic series (utonal) chord | ||
| [[60:70:84:105|7:6:5:4]] = C sub-seven = Cs7 | | [[60:70:84:105|7:6:5:4]] = C sub-seven = Cs7 | ||
|- | |- | ||
| po | | po | ||
| style="text-align: center;" |p | | style="text-align: center;" | p | ||
| adds a pythagorean comma, to change the degree | | adds a pythagorean comma, to change the degree | ||
| 15/14 = ruyo unison = ry1 = ruyopo 2nd = ryp2 | | 15/14 = ruyo unison = ry1 = ruyopo 2nd = ryp2 | ||
|- | |- | ||
| qu | | qu | ||
| style="text-align: center;" |q | | style="text-align: center;" | q | ||
| subtracts a pythagorean comma | | subtracts a pythagorean comma | ||
| 49/48 = zozo 2nd = zz2 = zozoqu unison = zzq1 | | 49/48 = zozo 2nd = zz2 = zozoqu unison = zzq1 | ||
| Line 762: | Line 762: | ||
|- | |- | ||
| -bi | | -bi | ||
| style="text-align: center;" |#2 | | style="text-align: center;" | #2 | ||
| as a suffix, 2nd smallest comma in the row segment | | as a suffix, 2nd smallest comma in the row segment | ||
| Guti = gT is Meantone, but Gubiti = g#2T is [[Father]] (16/15 vanishes) | | Guti = gT is Meantone, but Gubiti = g#2T is [[Father]] (16/15 vanishes) | ||
| Line 771: | Line 771: | ||
| [[Mercator's comma]] = Wa-53 = w-53 | | [[Mercator's comma]] = Wa-53 = w-53 | ||
|- | |- | ||
| colspan="2" |nowa | | colspan="2" | nowa | ||
| remove 3 (wa) from the prime subgroup, i.e. no-threes | | remove 3 (wa) from the prime subgroup, i.e. no-threes | ||
| 2.5.7 = yaza nowa, 2.5.7 & 50/49 = Biruyoti nowa | | 2.5.7 = yaza nowa, 2.5.7 & 50/49 = Biruyoti nowa | ||
|- | |- | ||
| colspan="2" |noca | | colspan="2" | noca | ||
| remove 2 (clear) from the prime subgroup, i.e. non-8ve | | remove 2 (clear) from the prime subgroup, i.e. non-8ve | ||
| 3.5.7 = yaza noca, 3.5.7 & 245/243 = Zozoyoti noca | | 3.5.7 = yaza noca, 3.5.7 & 245/243 = Zozoyoti noca | ||
|- | |- | ||
| colspan="2" |nowaca | | colspan="2" | nowaca | ||
| remove both 2 and 3 from the prime subgroup | | remove both 2 and 3 from the prime subgroup | ||
| 5.7.11 = yazala nowaca | | 5.7.11 = yazala nowaca | ||
|- | |- | ||
| plus | | plus | ||
| style="text-align: center;" | | | style="text-align: center;" | + | ||
| add an untempered prime to the temperament | | add an untempered prime to the temperament | ||
| Blackwood = 2.3.5 with 256/243 tempered out = Sawati + ya | | Blackwood = 2.3.5 with 256/243 tempered out = Sawati + ya | ||
|- | |- | ||
| and | | and | ||
| style="text-align: center;" |& | | style="text-align: center;" | & | ||
| joins commas that are tempered out | | joins commas that are tempered out | ||
| 7-limit Porcupine = 2.3.5.7 with 250/243 & 64/63 = Triyo & Ru | | 7-limit Porcupine = 2.3.5.7 with 250/243 & 64/63 = Triyo & Ru | ||
| Line 798: | Line 798: | ||
| Iy - IVy = 4thwd, Iy - Vy = 5thwd, Iy - yIIIy = yoward, Ig - gIIIg = guward | | Iy - IVy = 4thwd, Iy - Vy = 5thwd, Iy - yIIIy = yoward, Ig - gIIIg = guward | ||
|} | |} | ||
Homonyms: | Homonyms: | ||
* "wa" means both "3-all" and "-one-all" (e.g. thiwa means 31-all). The meaning is always clear from context. | |||
* "lo" means both "11-over" and "low", as in "low C". Thus 1o by itself becomes "ilo". | |||
* "la" means both "11-all" and "large", and also the solfege note La. Thus 1a by itself becomes "ila". | |||
* "so" means both "17-over" and the solfege note So. Thus 17o by itself becomes "iso". | |||
* "sa" means both "17-all" and "small", and also the Saregam note Sa. Thus 17a by itself becomes "isa". | |||
* "no" means both "19-over" and "omit", as in no3. Thus 19o by itself becomes "ino". | |||
* "nu" means both "19-under" and "new", as in "the new key". Thus 19u by itself becomes "inu". | |||
* "bi" means both "doubled" as in biruyo and "2nd smallest" as in Layobi. The meaning is always clear from context. | |||
Temperaments use "virtual colors" represented with arrows ^ v and perhaps slashes / \ | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! colspan="2" |Word | ! colspan="2" | Word | ||
! Meaning | ! Meaning | ||
|- | |- | ||
| Line 823: | Line 824: | ||
| lowered by some comma | | lowered by some comma | ||
|- | |- | ||
| colspan="2" |arrow | | colspan="2" | arrow | ||
| refers collectively to both ups and downs | | refers collectively to both ups and downs | ||
|- | |- | ||
| Line 834: | Line 835: | ||
| lowered by some other comma | | lowered by some other comma | ||
|- | |- | ||
| colspan="2" |slash | | colspan="2" | slash | ||
| refers collectively to both lifts and drops | | refers collectively to both lifts and drops | ||
|- | |- | ||