30edo: Difference between revisions
m →Commas: trivial cleanup |
→Commas: rework commatable |
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30 EDO [[tempers out]] the following [[commas]]. (Note: This assumes the [[val]] {{val| 30 48 70 84 104 111 }}.) | 30 EDO [[tempers out]] the following [[commas]]. (Note: This assumes the [[val]] {{val| 30 48 70 84 104 111 }}.) | ||
{| class="wikitable" | {| class="commatable wikitable center-1 center-2 right-4 center-5" | ||
|- | |- | ||
! [[Ratio]] | ! [[Harmonic Limit|Prime<br>Limit]] | ||
! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref> | |||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cents]] | ! [[Cents]] | ||
! [[Color name]] | ! [[Color name]] | ||
! Name | ! Name(s) | ||
|- | |- | ||
| 256/243 | | 3 | ||
| [[256/243]] | |||
| {{Monzo| 8 -5 }} | | {{Monzo| 8 -5 }} | ||
| 90.22 | | 90.22 | ||
| Sawa | | Sawa | ||
| Limma | | Limma, Pythagorean minor sedond | ||
|- | |- | ||
| 250/243 | | 5 | ||
| [[250/243]] | |||
| {{Monzo| 1 -5 3 }} | | {{Monzo| 1 -5 3 }} | ||
| 49.17 | | 49.17 | ||
| Triyo | | Triyo | ||
| Maximal | | Maximal diesis, Porcupine comma | ||
|- | |- | ||
| 128/125 | | 5 | ||
| [[128/125]] | |||
| {{Monzo| 7 0 -3 }} | | {{Monzo| 7 0 -3 }} | ||
| 41.06 | | 41.06 | ||
| Trigu | | Trigu | ||
| Diesis | | Diesis, augmented comma | ||
|- | |- | ||
| 15625/15552 | | 5 | ||
| [[15625/15552]] | |||
| {{Monzo| -6 -5 6 }} | | {{Monzo| -6 -5 6 }} | ||
| 8.11 | | 8.11 | ||
| Tribiyo | | Tribiyo | ||
| Kleisma | | Kleisma, semicomma majeur | ||
|- | |- | ||
| 1029/1000 | | 7 | ||
| [[1029/1000]] | |||
| {{Monzo| -3 1 -3 3 }} | | {{Monzo| -3 1 -3 3 }} | ||
| 49.49 | | 49.49 | ||
| Trizogu | | Trizogu | ||
| Keega | | Keega | ||
|- | |- | ||
| 49/48 | | 7 | ||
| [[49/48]] | |||
| {{Monzo| -4 -1 0 2 }} | | {{Monzo| -4 -1 0 2 }} | ||
| 35.70 | | 35.70 | ||
| Zozo | | Zozo | ||
| Slendro | | Slendro diesis | ||
|- | |- | ||
| 64/63 | | 7 | ||
| [[64/63]] | |||
| {{Monzo| 6 -2 0 -1 }} | | {{Monzo| 6 -2 0 -1 }} | ||
| 27.26 | | 27.26 | ||
| Ru | | Ru | ||
| Septimal | | Septimal comma, Archytas' comma, Leipziger Komma | ||
|- | |- | ||
| 64827/64000 | | 7 | ||
| [[64827/64000]] | |||
| {{Monzo| -9 3 -3 4 }} | | {{Monzo| -9 3 -3 4 }} | ||
| 22.23 | | 22.23 | ||
| Laquadzo-atrigu | | Laquadzo-atrigu | ||
| Squalentine | | Squalentine | ||
|- | |- | ||
| 875/864 | | 7 | ||
| [[875/864]] | |||
| {{Monzo| -5 -3 3 1 }} | | {{Monzo| -5 -3 3 1 }} | ||
| 21.90 | | 21.90 | ||
| Zotriyo | | Zotriyo | ||
| Keema | | Keema | ||
|- | |- | ||
| 126/125 | | 7 | ||
| [[126/125]] | |||
| {{Monzo| 1 2 -3 1 }} | | {{Monzo| 1 2 -3 1 }} | ||
| 13.79 | | 13.79 | ||
| Zotrigu | | Zotrigu | ||
| Septimal | | Septimal semicomma, Starling comma | ||
|- | |- | ||
| 4000/3969 | | 7 | ||
| [[4000/3969]] | |||
| {{Monzo| 5 -4 3 -2 }} | | {{Monzo| 5 -4 3 -2 }} | ||
| 13.47 | | 13.47 | ||
| Rurutriyo | | Rurutriyo | ||
| Octagar | | Octagar | ||
|- | |- | ||
| 1029/1024 | | 7 | ||
| [[1029/1024]] | |||
| {{Monzo| -10 1 0 3 }} | | {{Monzo| -10 1 0 3 }} | ||
| 8.43 | | 8.43 | ||
| Latrizo | | Latrizo | ||
| Gamelisma | | Gamelisma | ||
|- | |- | ||
| 6144/6125 | | 7 | ||
| [[6144/6125]] | |||
| {{Monzo| 11 1 -3 -2 }} | | {{Monzo| 11 1 -3 -2 }} | ||
| 5.36 | | 5.36 | ||
| Saruru-atrigu | | Saruru-atrigu | ||
| Porwell | | Porwell | ||
|- | |- | ||
| 250047/250000 | | 7 | ||
| <abbr title="250047/250000">(12 digits)</abbr> | |||
| {{Monzo| -4 6 -6 3 }} | | {{Monzo| -4 6 -6 3 }} | ||
| 0.33 | | 0.33 | ||
| Trizogugu | | Trizogugu | ||
| Landscape | | [[Landscape comma]] | ||
|- | |- | ||
| 100/99 | | 11 | ||
| [[100/99]] | |||
| {{Monzo| 2 -2 2 0 -1 }} | | {{Monzo| 2 -2 2 0 -1 }} | ||
| 17.40 | | 17.40 | ||
| Luyoyo | | Luyoyo | ||
| Ptolemisma | | Ptolemisma | ||
|- | |- | ||
| 121/120 | | 11 | ||
| [[121/120]] | |||
| {{Monzo| -3 -1 -1 0 2 }} | | {{Monzo| -3 -1 -1 0 2 }} | ||
| 14.37 | | 14.37 | ||
| Lologu | | Lologu | ||
| Biyatisma | | Biyatisma | ||
|- | |- | ||
| 176/175 | | 11 | ||
| [[176/175]] | |||
| {{Monzo| 4 0 -2 -1 1 }} | | {{Monzo| 4 0 -2 -1 1 }} | ||
| 9.86 | | 9.86 | ||
| Lorugugu | | Lorugugu | ||
| Valinorsma | | Valinorsma | ||
|- | |- | ||
| 65536/65219 | | 11 | ||
| [[65536/65219]] | |||
| {{Monzo| 16 0 0 -2 -3 }} | | {{Monzo| 16 0 0 -2 -3 }} | ||
| 8.39 | | 8.39 | ||
| Satrilu-aruru | | Satrilu-aruru | ||
| Orgonisma | | Orgonisma | ||
|- | |- | ||
| 385/384 | | 11 | ||
| [[385/384]] | |||
| {{Monzo| -7 -1 1 1 1 }} | | {{Monzo| -7 -1 1 1 1 }} | ||
| 4.50 | | 4.50 | ||
| Lozoyo | | Lozoyo | ||
| Keenanisma | | Keenanisma | ||
|- | |- | ||
| 441/440 | | 11 | ||
| [[441/440]] | |||
| {{Monzo| -3 2 -1 2 -1 }} | | {{Monzo| -3 2 -1 2 -1 }} | ||
| 3.93 | | 3.93 | ||
| Luzozogu | | Luzozogu | ||
| Werckisma | | Werckisma | ||
|- | |- | ||
| 4000/3993 | | 11 | ||
| [[4000/3993]] | |||
| {{Monzo| 5 -1 3 0 -3 }} | | {{Monzo| 5 -1 3 0 -3 }} | ||
| 3.03 | | 3.03 | ||
| Triluyo | | Triluyo | ||
| Wizardharry | | Wizardharry | ||
|- | |- | ||
| 3025/3024 | | 11 | ||
| [[3025/3024]] | |||
| {{Monzo| -4 -3 2 -1 2 }} | | {{Monzo| -4 -3 2 -1 2 }} | ||
| 0.57 | | 0.57 | ||
| Loloruyoyo | | Loloruyoyo | ||
| Lehmerisma | | Lehmerisma | ||
|} | |} | ||
<references/> | |||
== Music == | == Music == | ||