Kite's color notation: Difference between revisions
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The [[4:5:6:7|y,z7 chord]] is called the har7 ("har-seven") or h7 chord, because it's part of the harmonic series. {{nowrap|[[4:5:6:7:9|Ch9]] {{=}} Cy,z7,9}} and {{nowrap|[[4:5:6:7:9:11|Ch11]] {{=}} Cy,z7,w9,1o11}}. The [[60:70:84:105|sub7 ("sub-seven") or s7 chord]] is part of the subharmonic series. It's the first 7 subharmonics, with the 7th subharmonic becoming the root. {{nowrap|[[140:180:210:252:315|Cs9]] {{=}} Cr,g7,9}} and {{nowrap|Cs11 {{=}} C1o11(1or5,1og9)}}. Note that s9 is not s7 plus a 9th, but a completely different chord. Usually the 9th ''ascends'' from the root, but in a sub9 chord it ''descends'' from the top note, and becomes the new root. Thus the s7 chord is contained in the ''upper'' four notes of the s9 chord, not the lower four. See [[Kite's thoughts on harmonic and subharmonic nomenclature]]. | The [[4:5:6:7|y,z7 chord]] is called the har7 ("har-seven") or h7 chord, because it's part of the harmonic series. {{nowrap|[[4:5:6:7:9|Ch9]] {{=}} Cy,z7,9}} and {{nowrap|[[4:5:6:7:9:11|Ch11]] {{=}} Cy,z7,w9,1o11}}. The [[60:70:84:105|sub7 ("sub-seven") or s7 chord]] is part of the subharmonic series. It's the first 7 subharmonics, with the 7th subharmonic becoming the root. {{nowrap|[[140:180:210:252:315|Cs9]] {{=}} Cr,g7,9}} and {{nowrap|Cs11 {{=}} C1o11(1or5,1og9)}}. Note that s9 is not s7 plus a 9th, but a completely different chord. Usually the 9th ''ascends'' from the root, but in a sub9 chord it ''descends'' from the top note, and becomes the new root. Thus the s7 chord is contained in the ''upper'' four notes of the s9 chord, not the lower four. See [[Kite's thoughts on harmonic and subharmonic nomenclature]]. | ||
{{nowrap|Cs6 {{=}} Cg,r6}} {{nowrap|{{=}} [[70:84:105:120|12:10:8:7]]}}. Ch6 = Cz,y6 = 6:7:9:10. Other than | {{nowrap|Cs6 {{=}} Cg,r6}} {{nowrap|{{=}} [[70:84:105:120|12:10:8:7]]}}. Ch6 = Cz,y6 = 6:7:9:10. Other than these two chords, all harmonic/subharmonic numbers must be odd, e.g. Ch8 is invalid. For any odd number N greater than 5, ChN is 1:3:5...N and CsN is N...5:3:1 (but 1 and 3 are generally written as their octave equivalents 4 and 6). <u>Additions, a</u><u>lterations and omissions refer to degrees</u>, not harmonics or subharmonics: Ch7,11 adds w11, not 1o11. Ch9no5 omits w5, not y3. However, <u>all numbers > 13 refer to (sub)harmonics</u>, e.g. Ch9,15 adds y7 and Ch19no15 omits it. When two harmonics share the same degree, omitting that degree omits the lower harmonic. Thus Ch19no7 omits 7/4. | ||
<u>All wa chords can be named conventionally</u>, since wa is the default color. Thus {{dash|w1, w3, w5}} is both Cw and Cm. And {{dash|w1, Lw3, w5, w6}} is both CLw6 and C6. For aesthetic reasons, the conventional name is preferred only when neither "M" nor "m" appears in the name (since color notation doesn't use major/minor). This is especially true if the chord includes non-wa notes: {{dash|w1, w3, w5, y6}} is Cw,y6 not Cm,y6. | <u>All wa chords can be named conventionally</u>, since wa is the default color. Thus {{dash|w1, w3, w5}} is both Cw and Cm. And {{dash|w1, Lw3, w5, w6}} is both CLw6 and C6. For aesthetic reasons, the conventional name is preferred only when neither "M" nor "m" appears in the name (since color notation doesn't use major/minor). This is especially true if the chord includes non-wa notes: {{dash|w1, w3, w5, y6}} is Cw,y6 not Cm,y6. | ||
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| colspan="2" | -a- | | colspan="2" | -a- | ||
| delimits an exponent such as bi-, tri-, etc. | | delimits an exponent such as bi-, tri-, etc. | ||
| | | trizoguma = 3zgM = 1029/1000, but trizo-aguma = 3zagM = 343/320 | ||
|- | |- | ||
| co- | | co- | ||
| Line 789: | Line 789: | ||
| T | | T | ||
| the temperament that tempers out that comma | | the temperament that tempers out that comma | ||
| guma = 81/80, | | guma = 81/80, guti = meantone | ||
|- | |- | ||
| -bi | | -bi | ||
| style="text-align: center;" | b | | style="text-align: center;" | b | ||
| 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 = gbT is [[Father]] (16/15 vanishes) | ||
|- | |- | ||
| | | -wama | ||
| | | wM | ||
| alternate interval format, only used for 3-limit commas | | alternate interval format, only used for 3-limit commas | ||
| [[Mercator's comma]] = | | [[Mercator's comma]] = 53wama = 53wM | ||
|- | |- | ||
| 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 = | | 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 = | | 3.5.7 = yaza noca, 3.5.7 & 245/243 = zozoyoti noca | ||
|- | |- | ||
| colspan="2" | nowaca | | colspan="2" | nowaca | ||
| Line 816: | Line 816: | ||
| 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 = | | Blackwood = 2.3.5 with 256/243 tempered out = sawati + ya = swT+y | ||
|- | |- | ||
| 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 = | | 7-limit Porcupine = 2.3.5.7 with 250/243 & 64/63 = triyo & ruti = 3y&rT | ||
|- | |- | ||
| -ward | | -ward | ||