24edo: Difference between revisions
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→Commas: rework |
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= Commas = | = Commas = | ||
24 EDO tempers out the following [[commas]]. | 24 EDO tempers out the following [[commas]]. This assumes val {{val| 24 38 56 67 83 89 }}. | ||
{| class="wikitable center- | {| class="commatable wikitable center-2 right-4 center-5" | ||
|- | |- | ||
! [[Harmonic limit|Prime<br>Limit]] | |||
! [[Ratio]] | ! [[Ratio]] | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[ | ! [[Cent]]s | ||
! [[Color name]] | ! [[Color name]] | ||
! Name | ! Name(s) | ||
|- | |- | ||
| 531441/524288 | | 3 | ||
| | | [[531441/524288|(12 digits)]] | ||
| {{Monzo| -19 12 }} | |||
| 23.46 | | 23.46 | ||
| Lalawa | | Lalawa | ||
| Pythagorean | | [[Pythagorean comma]] | ||
|- | |- | ||
| 648/625 | | 5 | ||
| | | [[648/625]] | ||
| {{Monzo| 3 4 -4 }} | |||
| 62.57 | | 62.57 | ||
| Quadgu | | Quadgu | ||
| Major | | Major diesis, diminished domma | ||
|- | |- | ||
| 128/125 | | 5 | ||
| | | [[128/125]] | ||
| {{Monzo| 7 0 -3 }} | |||
| 41.06 | | 41.06 | ||
| Trigu | | Trigu | ||
| Diesis | | Diesis, augmented comma | ||
|- | |- | ||
| 81/80 | | 5 | ||
| | | [[81/80]] | ||
| {{Monzo| -4 4 -1 }} | |||
| 21.51 | | 21.51 | ||
| Gu | | Gu | ||
| Syntonic | | Syntonic comma, Didymus comma, meantone comma | ||
|- | |- | ||
| 2048/2025 | | 5 | ||
| | | [[2048/2025]] | ||
| {{Monzo| 11 -4 -2 }} | |||
| 19.55 | | 19.55 | ||
| Sagugu | | Sagugu | ||
| Diaschisma | | Diaschisma | ||
|- | |- | ||
| | | 5 | ||
| | | [[67108864/66430125|(16 digits)]] | ||
| {{Monzo| 26 -12 -3 }} | |||
| 17.60 | | 17.60 | ||
| Sasa-trigu | | Sasa-trigu | ||
| Misty | | [[Misty comma]] | ||
|- | |- | ||
| 32805/32768 | | 5 | ||
| | | [[32805/32768]] | ||
| {{Monzo| -15 8 1 }} | |||
| 1.95 | | 1.95 | ||
| Layo | | Layo | ||
| Schisma | | Schisma | ||
|- | |- | ||
| | | 5 | ||
| < | | <abbr title="2923003274661805836407369665432566039311865085952/2922977339492680612451840826835216578535400390625">(98 digits)</abbr> | ||
| {{Monzo| 161 -84 -12 }} | |||
| 0.02 | | 0.02 | ||
| Sepbisa-quadbigu | | Sepbisa-quadbigu | ||
| Atom | | [[Atom]] | ||
|- | |- | ||
| 49/48 | | 7 | ||
| | | [[49/48]] | ||
| {{Monzo| -4 -1 0 2 }} | |||
| 35.70 | | 35.70 | ||
| Zozo | | Zozo | ||
| Slendro | | Slendro diesis | ||
|- | |- | ||
| 245/243 | | 7 | ||
| | | [[245/243]] | ||
| {{Monzo| 0 -5 1 2 }} | |||
| 14.19 | | 14.19 | ||
| Zozoyo | | Zozoyo | ||
| Sensamagic | | Sensamagic | ||
|- | |- | ||
| 19683/19600 | | 7 | ||
| | | [[19683/19600]] | ||
| {{Monzo| -4 9 -2 -2 }} | |||
| 7.32 | | 7.32 | ||
| Labirugu | | Labirugu | ||
| Cataharry | | Cataharry | ||
|- | |- | ||
| 6144/6125 | | 7 | ||
| | | [[6144/6125]] | ||
| {{Monzo| 11 1 -3 -2 }} | |||
| 5.36 | | 5.36 | ||
| Sarurutrigu | | Sarurutrigu | ||
| Porwell | | Porwell | ||
|- | |- | ||
| 121/120 | | 11 | ||
| | | [[121/120]] | ||
| {{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 }} | |||
| 9.86 | | 9.86 | ||
| Lorugugu | | Lorugugu | ||
| Valinorsma | | Valinorsma | ||
|- | |- | ||
| 896/891 | | 11 | ||
| | | [[896/891]] | ||
| {{Monzo| 7 -4 0 1 -1 }} | |||
| 9.69 | | 9.69 | ||
| Saluzo | | Saluzo | ||
| Pentacircle | | Pentacircle | ||
|- | |- | ||
| 243/242 | | 11 | ||
| | | [[243/242]] | ||
| {{Monzo| -1 5 0 0 -2 }} | |||
| 7.14 | | 7.14 | ||
| Lulu | | Lulu | ||
| Rastma | | Rastma | ||
|- | |- | ||
| 385/384 | | 11 | ||
| | | [[385/384]] | ||
| {{Monzo| -7 -1 1 1 1 }} | |||
| 4.50 | | 4.50 | ||
| Lozoyo | | Lozoyo | ||
| Keenanisma | | Keenanisma | ||
|- | |- | ||
| 9801/9800 | | 11 | ||
| | | [[9801/9800]] | ||
| {{Monzo| -3 4 -2 -2 2 }} | |||
| 0.18 | | 0.18 | ||
| Bilorugu | | Bilorugu | ||
| Kalisma | | Kalisma, Gauss' comma | ||
|- | |- | ||
| 91/90 | | 13 | ||
| | | [[91/90]] | ||
| {{Monzo| -1 -2 -1 1 0 1 }} | |||
| 19.13 | | 19.13 | ||
| Thozogu | | Thozogu | ||
| Superleap | | Superleap | ||
|- | |- | ||
| 676/675 | | 13 | ||
| | | [[676/675]] | ||
| {{Monzo| 2 -3 -2 0 0 2 }} | |||
| 2.56 | | 2.56 | ||
| Bithogu | | Bithogu | ||
| Island | | Island comma, parizeksma | ||
|} | |} | ||