34edo: Difference between revisions
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== Commas == | == Commas == | ||
34-EDO [[ | 34-EDO [[tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val|34 54 79 95 118 126}}.) | ||
{| class="wikitable center-all left-3 right-4 left-6" | {| class="commatable wikitable center-all left-3 right-4 left-6" | ||
|- | |- | ||
! [[Harmonic limit|Prime<br>Limit]] | ! [[Harmonic limit|Prime<br>Limit]] | ||
! [[Ratio]] | ! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref> | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cents]] | ! [[Cents]] | ||
Line 754: | Line 754: | ||
|- | |- | ||
| 3 | | 3 | ||
| 134217728/129140163 | | [[134217728/129140163|(18 digits)]] | ||
| | | {{Monzo| 27 -17 }} | ||
| 66.765 | | 66.765 | ||
| Sasawa | | Sasawa | ||
| 17-comma | | [[17-comma]] | ||
|- | |- | ||
| 5 | | 5 | ||
| 20000/19683 | | [[20000/19683]] | ||
| | | {{Monzo| 5 -9 4 }} | ||
| 27.660 | | 27.660 | ||
| Saquadyo | | Saquadyo | ||
| Minimal diesis, tetracot comma | | Minimal diesis, tetracot comma | ||
|- | |- | ||
| | | 5 | ||
| 2048/2025 | | [[2048/2025]] | ||
| | | {{Monzo| 11 -4 -2 }} | ||
| 19.553 | | 19.553 | ||
| Sagugu | | Sagugu | ||
| Diaschisma | | Diaschisma | ||
|- | |- | ||
| | | 5 | ||
| 393216/390625 | | [[393216/390625|(12 digits)]] | ||
| | | {{Monzo| 17 1 -8 }} | ||
| 11.445 | | 11.445 | ||
| Saquadbigu | | Saquadbigu | ||
| Würschmidt comma | | [[Würschmidt comma]] | ||
|- | |- | ||
| | | 5 | ||
| 15625/15552 | | [[15625/15552]] | ||
| | | {{Monzo| -6 -5 6 }} | ||
| 8.107 | | 8.107 | ||
| Tribiyo | | Tribiyo | ||
| Kleisma, semicomma majeur | | Kleisma, semicomma majeur | ||
|- | |- | ||
| | | 5 | ||
| | | [[6115295232/6103515625|(20 digits)]] | ||
| | | {{Monzo| 23 6 -14 }} | ||
| 3.338 | | 3.338 | ||
| Sasepbigu | | Sasepbigu | ||
| Vishnuzma, semisuper | | [[Vishnuzma]], semisuper comma | ||
|- | |- | ||
|7 | | 7 | ||
| 1029/1000 | | [[1029/1000]] | ||
| | | {{Monzo| -3 1 -3 3 }} | ||
| 49.492 | | 49.492 | ||
| Trizogu | | Trizogu | ||
| Keega | | Keega | ||
|- | |- | ||
| | | 7 | ||
| 49/48 | | [[49/48]] | ||
| | | {{Monzo| -4 -1 0 2 }} | ||
| 35.697 | | 35.697 | ||
| Zozo | | Zozo | ||
| Septimal diesis, slendro diesis | | Septimal diesis, slendro diesis | ||
|- | |- | ||
| | | 7 | ||
| 875/864 | | [[875/864]] | ||
| | | {{Monzo| -5 -3 3 1 }} | ||
| 21.902 | | 21.902 | ||
| Zotriyo | | Zotriyo | ||
| Keema | | Keema | ||
|- | |- | ||
| | | 7 | ||
| 126/125 | | [[126/125]] | ||
| | | {{Monzo| 1 2 -3 1 }} | ||
| 13.795 | | 13.795 | ||
| Zotrigu | | Zotrigu | ||
| Starling comma, septimal semicomma | | Starling comma, septimal semicomma | ||
|- | |- | ||
|11 | | 11 | ||
| 100/99 | | [[100/99]] | ||
| | | {{Monzo| 2 -2 2 0 -1 }} | ||
| 17.399 | | 17.399 | ||
| Luyoyo | | Luyoyo | ||
| Ptolemisma, Ptolemy's comma | | Ptolemisma, Ptolemy's comma | ||
|- | |- | ||
| | | 11 | ||
| 243/242 | | [[243/242]] | ||
| | | {{Monzo| -1 5 0 0 -2 }} | ||
| 7.139 | | 7.139 | ||
| Lulu | | Lulu | ||
| Rastma, neutral third comma | | Rastma, neutral third comma | ||
|- | |- | ||
| | | 11 | ||
| 385/384 | | [[385/384]] | ||
| | | {{Monzo| -7 -1 1 1 1 }} | ||
| 4.503 | | 4.503 | ||
| Lozoyo | | Lozoyo | ||
| Keenanisma | | Keenanisma | ||
|- | |- | ||
|13 | | 13 | ||
| 91/90 | | [[91/90]] | ||
| | | {{Monzo| -1 -2 -1 1 0 1 }} | ||
| 19.120 | | 19.120 | ||
| Thozogu | | Thozogu | ||
| Superleap | | Superleap | ||
|} | |} | ||
<references/> | |||
== Music == | == Music == |