5edo: Difference between revisions
→Commas: Cleanup; names; -wrong ratio |
→Commas: +prime limit column |
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| Line 167: | Line 167: | ||
5-EDO tempers out the following [[comma]]s. This assumes the val {{val| 5 8 12 14 17 19 }}. | 5-EDO tempers out the following [[comma]]s. This assumes the val {{val| 5 8 12 14 17 19 }}. | ||
{| class="wikitable center- | {| class="wikitable center-1 center-2 right-4 center-5" | ||
|- | |- | ||
! [[Harmonic limit|Prime<br>Limit]] | |||
! [[Ratio]] | ! [[Ratio]] | ||
! [[Monzo]] | ! [[Monzo]] | ||
| Line 175: | Line 176: | ||
! Name(s) | ! Name(s) | ||
|- | |- | ||
| 3 | |||
| [[256/243]] | | [[256/243]] | ||
| {{Monzo| 8 -5 }} | | {{Monzo| 8 -5 }} | ||
| 90.225 | | 90.225 | ||
| Sawa | | Sawa | ||
| Limma, Pythagorean | | Limma, Pythagorean diatonic semitone | ||
|- | |- | ||
| 5 | |||
| [[27/25]] | | [[27/25]] | ||
| {{Monzo| 0 3 -2 }} | | {{Monzo| 0 3 -2 }} | ||
| Line 187: | Line 190: | ||
| Large limma | | Large limma | ||
|- | |- | ||
| 5 | |||
| [[16/15]] | | [[16/15]] | ||
| {{Monzo| 4 -1 -1 }} | | {{Monzo| 4 -1 -1 }} | ||
| Line 193: | Line 197: | ||
| Classic diatonic semitone | | Classic diatonic semitone | ||
|- | |- | ||
| 5 | |||
| [[81/80]] | | [[81/80]] | ||
| {{Monzo| -4 4 -1 }} | | {{Monzo| -4 4 -1 }} | ||
| Line 199: | Line 204: | ||
| Syntonic comma, Didymus comma, meantone comma | | Syntonic comma, Didymus comma, meantone comma | ||
|- | |- | ||
| 5 | |||
| [[Vulture comma|…]] | | [[Vulture comma|…]] | ||
| {{Monzo| 24 -21 4 }} | | {{Monzo| 24 -21 4 }} | ||
| Line 205: | Line 211: | ||
| Vulture | | Vulture | ||
|- | |- | ||
| 7 | |||
| [[36/35]] | | [[36/35]] | ||
| {{Monzo| 2 2 -1 -1 }} | | {{Monzo| 2 2 -1 -1 }} | ||
| Line 211: | Line 218: | ||
| Septimal quarter tone | | Septimal quarter tone | ||
|- | |- | ||
| 7 | |||
| [[49/48]] | | [[49/48]] | ||
| {{Monzo| -4 -1 0 2 }} | | {{Monzo| -4 -1 0 2 }} | ||
| Line 217: | Line 225: | ||
| Slendro diesis | | Slendro diesis | ||
|- | |- | ||
| 7 | |||
| [[64/63]] | | [[64/63]] | ||
| {{Monzo| 6 -2 0 -1 }} | | {{Monzo| 6 -2 0 -1 }} | ||
| Line 223: | Line 232: | ||
| Septimal comma, Archytas' comma, Leipziger Komma | | Septimal comma, Archytas' comma, Leipziger Komma | ||
|- | |- | ||
| 7 | |||
| [[245/243]] | | [[245/243]] | ||
| {{Monzo| 0 -5 1 2 }} | | {{Monzo| 0 -5 1 2 }} | ||
| Line 229: | Line 239: | ||
| Sensamagic | | Sensamagic | ||
|- | |- | ||
| 7 | |||
| [[1728/1715]] | | [[1728/1715]] | ||
| {{Monzo| 6 3 -1 -3 }} | | {{Monzo| 6 3 -1 -3 }} | ||
| Line 235: | Line 246: | ||
| Orwellisma, Orwell comma | | Orwellisma, Orwell comma | ||
|- | |- | ||
| 7 | |||
| [[1029/1024]] | | [[1029/1024]] | ||
| {{Monzo| -10 1 0 3 }} | | {{Monzo| -10 1 0 3 }} | ||
| Line 241: | Line 253: | ||
| Gamelisma | | Gamelisma | ||
|- | |- | ||
| 7 | |||
| [[19683/19600]] | | [[19683/19600]] | ||
| {{Monzo| -4 9 -2 -2 }} | | {{Monzo| -4 9 -2 -2 }} | ||
| Line 247: | Line 260: | ||
| Cataharry | | Cataharry | ||
|- | |- | ||
| 7 | |||
| [[5120/5103]] | | [[5120/5103]] | ||
| {{Monzo| 10 -6 1 -1 }} | | {{Monzo| 10 -6 1 -1 }} | ||
| Line 253: | Line 267: | ||
| Hemifamity | | Hemifamity | ||
|- | |- | ||
| 7 | |||
| … | | … | ||
| {{Monzo| -26 -1 1 9 }} | | {{Monzo| -26 -1 1 9 }} | ||
| Line 259: | Line 274: | ||
| Wadisma | | Wadisma | ||
|- | |- | ||
| 7 | |||
| [[420175/419904]] | | [[420175/419904]] | ||
| {{Monzo| -6 -8 2 5 }} | | {{Monzo| -6 -8 2 5 }} | ||
| Line 265: | Line 281: | ||
| Wizma | | Wizma | ||
|- | |- | ||
| 11 | |||
| [[11/10]] | | [[11/10]] | ||
| {{Monzo| -1 0 -1 0 1 }} | | {{Monzo| -1 0 -1 0 1 }} | ||
| Line 271: | Line 288: | ||
| Large undecimal neutral 2nd | | Large undecimal neutral 2nd | ||
|- | |- | ||
| 11 | |||
| [[99/98]] | | [[99/98]] | ||
| {{Monzo| -1 2 0 -2 1 }} | | {{Monzo| -1 2 0 -2 1 }} | ||
| Line 277: | Line 295: | ||
| Mothwellsma | | Mothwellsma | ||
|- | |- | ||
| 11 | |||
| [[896/891]] | | [[896/891]] | ||
| {{Monzo| 7 -4 0 1 -1 }} | | {{Monzo| 7 -4 0 1 -1 }} | ||
| Line 283: | Line 302: | ||
| Pentacircle | | Pentacircle | ||
|- | |- | ||
| 11 | |||
| [[385/384]] | | [[385/384]] | ||
| {{Monzo| -7 -1 1 1 1 }} | | {{Monzo| -7 -1 1 1 1 }} | ||
| Line 289: | Line 309: | ||
| Keenanisma | | Keenanisma | ||
|- | |- | ||
| 11 | |||
| [[441/440]] | | [[441/440]] | ||
| {{Monzo| -3 2 -1 2 -1 }} | | {{Monzo| -3 2 -1 2 -1 }} | ||
| Line 295: | Line 316: | ||
| Werckisma | | Werckisma | ||
|- | |- | ||
| 11 | |||
| [[3025/3024]] | | [[3025/3024]] | ||
| {{Monzo| -4 -3 2 -1 2 }} | | {{Monzo| -4 -3 2 -1 2 }} | ||
| Line 301: | Line 323: | ||
| Lehmerisma | | Lehmerisma | ||
|- | |- | ||
| 13 | |||
| [[14/13]] | | [[14/13]] | ||
| {{Monzo| 1 0 0 1 0 -1 }} | | {{Monzo| 1 0 0 1 0 -1 }} | ||
| Line 307: | Line 330: | ||
| Tridecimal 2/3-tone, trienthird | | Tridecimal 2/3-tone, trienthird | ||
|- | |- | ||
| 13 | |||
| [[91/90]] | | [[91/90]] | ||
| {{Monzo| -1 -2 -1 1 0 1 }} | | {{Monzo| -1 -2 -1 1 0 1 }} | ||
| Line 313: | Line 337: | ||
| Superleap | | Superleap | ||
|- | |- | ||
| 13 | |||
| [[676/675]] | | [[676/675]] | ||
| {{Monzo| 2 -3 -2 0 0 2 }} | | {{Monzo| 2 -3 -2 0 0 2 }} | ||