7edo: Difference between revisions
m →Commas: +alternative names; -wrong ratio |
→Commas: +Prime limit column; chroma > dicot comma |
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Line 142: | Line 142: | ||
7 EDO tempers out the following commas. This assumes val {{val| 7 11 16 20 24 26 }}. | 7 EDO tempers out the following commas. This assumes val {{val| 7 11 16 20 24 26 }}. | ||
{| class="wikitable center- | {| class="wikitable center-1 center-2 right-4 center-5" | ||
|- | |- | ||
! [[Harmonic limit|Prime<br>Limit]] | |||
! [[Ratio]]s | ! [[Ratio]]s | ||
! [[Monzo]] | ! [[Monzo]] | ||
Line 150: | Line 151: | ||
! Name(s) | ! Name(s) | ||
|- | |- | ||
| 3 | |||
| [[2187/2048]] | | [[2187/2048]] | ||
| {{Monzo| -11 7 }} | | {{Monzo| -11 7 }} | ||
Line 156: | Line 158: | ||
| Apotome, Pythagorean chromatic semitone | | Apotome, Pythagorean chromatic semitone | ||
|- | |- | ||
| 5 | |||
| [[135/128]] | | [[135/128]] | ||
| {{Monzo| -7 3 1 }} | | {{Monzo| -7 3 1 }} | ||
Line 162: | Line 165: | ||
| Major chroma, major limma, pelogic comma | | Major chroma, major limma, pelogic comma | ||
|- | |- | ||
| 5 | |||
| [[25/24]] | | [[25/24]] | ||
| {{Monzo| -3 -1 2 }} | | {{Monzo| -3 -1 2 }} | ||
| 70.67 | | 70.67 | ||
| Yoyo | | Yoyo | ||
| Classic chromatic semitone, | | Classic chromatic semitone, dicot comma | ||
|- | |- | ||
| 5 | |||
| [[250/243]] | | [[250/243]] | ||
| {{Monzo| 1 -5 3 }} | | {{Monzo| 1 -5 3 }} | ||
Line 174: | Line 179: | ||
| Maximal diesis, porcupine comma | | Maximal diesis, porcupine comma | ||
|- | |- | ||
| 5 | |||
| [[20000/19683]] | | [[20000/19683]] | ||
| {{Monzo| 5 -9 4 }} | | {{Monzo| 5 -9 4 }} | ||
Line 180: | Line 186: | ||
| Minimal diesis, tetracot comma | | Minimal diesis, tetracot comma | ||
|- | |- | ||
| 5 | |||
| [[81/80]] | | [[81/80]] | ||
| {{Monzo| -4 4 -1 }} | | {{Monzo| -4 4 -1 }} | ||
Line 186: | Line 193: | ||
| Syntonic comma, Didymus comma, meantone comma | | Syntonic comma, Didymus comma, meantone comma | ||
|- | |- | ||
| 5 | |||
| [[1600000/1594323]] | | [[1600000/1594323]] | ||
| {{Monzo| 9 -13 5 }} | | {{Monzo| 9 -13 5 }} | ||
Line 192: | Line 200: | ||
| Amity comma | | Amity comma | ||
|- | |- | ||
| 7 | |||
| [[36/35]] | | [[36/35]] | ||
| {{Monzo| 2 2 -1 -1 }} | | {{Monzo| 2 2 -1 -1 }} | ||
Line 198: | Line 207: | ||
| Septimal quartertone | | Septimal quartertone | ||
|- | |- | ||
| 7 | |||
| [[525/512]] | | [[525/512]] | ||
| {{Monzo| -9 1 2 1 }} | | {{Monzo| -9 1 2 1 }} | ||
Line 204: | Line 214: | ||
| Avicennma, Avicenna's enharmonic diesis | | Avicennma, Avicenna's enharmonic diesis | ||
|- | |- | ||
| 7 | |||
| [[64/63]] | | [[64/63]] | ||
| {{Monzo| 6 -2 0 -1 }} | | {{Monzo| 6 -2 0 -1 }} | ||
Line 210: | Line 221: | ||
| Septimal comma, Archytas' comma, Leipziger Komma | | Septimal comma, Archytas' comma, Leipziger Komma | ||
|- | |- | ||
| 7 | |||
| [[875/864]] | | [[875/864]] | ||
| {{Monzo| -5 -3 3 1 }} | | {{Monzo| -5 -3 3 1 }} | ||
Line 216: | Line 228: | ||
| Keema | | Keema | ||
|- | |- | ||
| 7 | |||
| [[5120/5103]] | | [[5120/5103]] | ||
| {{Monzo| 10 -6 1 -1 }} | | {{Monzo| 10 -6 1 -1 }} | ||
Line 222: | Line 235: | ||
| Hemifamity | | Hemifamity | ||
|- | |- | ||
| 7 | |||
| [[6144/6125]] | | [[6144/6125]] | ||
| {{Monzo| 11 1 -3 -2 }} | | {{Monzo| 11 1 -3 -2 }} | ||
Line 228: | Line 242: | ||
| Porwell | | Porwell | ||
|- | |- | ||
| 7 | |||
| [[4375/4374]] | | [[4375/4374]] | ||
| {{Monzo| -1 -7 4 1 }} | | {{Monzo| -1 -7 4 1 }} | ||
Line 234: | Line 249: | ||
| Ragisma | | Ragisma | ||
|- | |- | ||
| 7 | |||
| … | | … | ||
| {{Monzo| 47 -7 -7 -7 }} | | {{Monzo| 47 -7 -7 -7 }} | ||
Line 240: | Line 256: | ||
| Akjaysma, 5\7 octave comma | | Akjaysma, 5\7 octave comma | ||
|- | |- | ||
| 11 | |||
| [[100/99]] | | [[100/99]] | ||
| {{Monzo| 2 -2 2 0 -1 }} | | {{Monzo| 2 -2 2 0 -1 }} | ||
Line 246: | Line 263: | ||
| Ptolemisma | | Ptolemisma | ||
|- | |- | ||
| 11 | |||
| [[121/120]] | | [[121/120]] | ||
| {{Monzo| -3 -1 -1 0 2 }} | | {{Monzo| -3 -1 -1 0 2 }} | ||
Line 252: | Line 270: | ||
| Biyatisma | | Biyatisma | ||
|- | |- | ||
| 11 | |||
| [[176/175]] | | [[176/175]] | ||
| {{Monzo| 4 0 -2 -1 1 }} | | {{Monzo| 4 0 -2 -1 1 }} | ||
Line 258: | Line 277: | ||
| Valinorsma | | Valinorsma | ||
|- | |- | ||
| 11 | |||
| [[65536/65219]] | | [[65536/65219]] | ||
| {{Monzo| 16 0 0 -2 -3 }} | | {{Monzo| 16 0 0 -2 -3 }} | ||
Line 264: | Line 284: | ||
| Orgonisma | | Orgonisma | ||
|- | |- | ||
| 11 | |||
| [[243/242]] | | [[243/242]] | ||
| {{Monzo| -1 5 0 0 -2 }} | | {{Monzo| -1 5 0 0 -2 }} | ||
Line 270: | Line 291: | ||
| Rastma | | Rastma | ||
|- | |- | ||
| 11 | |||
| [[385/384]] | | [[385/384]] | ||
| {{Monzo| -7 -1 1 1 1 }} | | {{Monzo| -7 -1 1 1 1 }} | ||
Line 276: | Line 298: | ||
| Keenanisma | | Keenanisma | ||
|- | |- | ||
| 11 | |||
| [[4000/3993]] | | [[4000/3993]] | ||
| {{Monzo| 5 -1 3 0 -3 }} | | {{Monzo| 5 -1 3 0 -3 }} |