29edo: Difference between revisions
→Commas: monzos via template, write out limits |
→Commas: rework commatable |
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29 EDO [[tempers out]] the following [[commas]]. (Note: This assumes the [[val]] {{val| 29 46 67 81 100 107 }}, cent values rounded to 5 digits.) | 29 EDO [[tempers out]] the following [[commas]]. (Note: This assumes the [[val]] {{val| 29 46 67 81 100 107 }}, cent values rounded to 5 digits.) | ||
{| class="wikitable center-all left-3 right-4" | {| 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]] | ||
! [[Color name]] | ! [[Color name]] | ||
! Name | ! Name(s) | ||
|- | |- | ||
| 5 | | 5 | ||
| 16875/16384 | | [[16875/16384]] | ||
| {{Monzo| -14 3 4 }} | | {{Monzo| -14 3 4 }} | ||
| 51.120 | | 51.120 | ||
| Laquadyo | | Laquadyo | ||
| Negri comma | | Negri comma, double augmentation diesis | ||
|- | |- | ||
| 5 | | 5 | ||
| 250/243 | | [[250/243]] | ||
| {{Monzo| 1 -5 3 }} | | {{Monzo| 1 -5 3 }} | ||
| 49.166 | | 49.166 | ||
| Triyo | | Triyo | ||
| Maximal diesis | | Maximal diesis, Porcupine comma | ||
|- | |- | ||
| 5 | | 5 | ||
| 32805/32768 | | [[32805/32768]] | ||
| {{Monzo| -15 8 1 }} | | {{Monzo| -15 8 1 }} | ||
| 1.9537 | | 1.9537 | ||
| Layo | | Layo | ||
| Schisma | | Schisma | ||
|- | |- | ||
| 7 | | 7 | ||
| 525/512 | | [[525/512]] | ||
| {{Monzo| -9 1 2 1 }} | | {{Monzo| -9 1 2 1 }} | ||
| 43.408 | | 43.408 | ||
| Lazoyoyo | | Lazoyoyo | ||
| Avicennma | | Avicennma, Avicenna's enharmonic diesis | ||
|- | |- | ||
| 7 | | 7 | ||
| 49/48 | | [[49/48]] | ||
| {{Monzo| -4 -1 0 2 }} | | {{Monzo| -4 -1 0 2 }} | ||
| 35.697 | | 35.697 | ||
| Zozo | | Zozo | ||
| Slendro diesis | | Slendro diesis | ||
|- | |- | ||
| 7 | | 7 | ||
| 686/675 | | [[686/675]] | ||
| {{Monzo| 1 -3 -2 3 }} | | {{Monzo| 1 -3 -2 3 }} | ||
| 27.985 | | 27.985 | ||
| Trizo-agugu | | Trizo-agugu | ||
| Senga | | Senga | ||
|- | |- | ||
| 7 | | 7 | ||
| 64827/64000 | | [[64827/64000]] | ||
| {{Monzo| -9 3 -3 4 }} | | {{Monzo| -9 3 -3 4 }} | ||
| 22.227 | | 22.227 | ||
| Laquadzo-atrigu | | Laquadzo-atrigu | ||
| Squalentine | | Squalentine | ||
|- | |- | ||
| 7 | | 7 | ||
| 3125/3087 | | [[3125/3087]] | ||
| {{Monzo| 0 -2 5 -3 }} | | {{Monzo| 0 -2 5 -3 }} | ||
| 21.181 | | 21.181 | ||
| Triru-aquinyo | | Triru-aquinyo | ||
| Gariboh | | Gariboh | ||
|- | |- | ||
| 7 | | 7 | ||
| 50421/50000 | | [[50421/50000]] | ||
| {{Monzo| -4 1 -5 5 }} | | {{Monzo| -4 1 -5 5 }} | ||
| 14.516 | | 14.516 | ||
| Quinzogu | | Quinzogu | ||
| Trimyna | | Trimyna | ||
|- | |- | ||
| 7 | | 7 | ||
| 4000/3969 | | [[4000/3969]] | ||
| {{Monzo| 5 -4 3 -2 }} | | {{Monzo| 5 -4 3 -2 }} | ||
| 13.469 | | 13.469 | ||
| Rurutriyo | | Rurutriyo | ||
| Octagar | | Octagar | ||
|- | |- | ||
| 7 | | 7 | ||
| 225/224 | | [[225/224]] | ||
| {{Monzo| -5 2 2 -1 }} | | {{Monzo| -5 2 2 -1 }} | ||
| 7.7115 | | 7.7115 | ||
| Ruyoyo | | Ruyoyo | ||
| Septimal kleisma | | Septimal kleisma, Marvel comma | ||
|- | |- | ||
| 7 | | 7 | ||
| 5120/5103 | | [[5120/5103]] | ||
| {{Monzo| 10 -6 1 -1 }} | | {{Monzo| 10 -6 1 -1 }} | ||
| 5.7578 | | 5.7578 | ||
| Saruyo | | Saruyo | ||
| Hemifamity | | Hemifamity | ||
|- | |- | ||
| 7 | | 7 | ||
| | | [[33554432/33480783|(16 digits)]] | ||
| {{Monzo| 25 -14 0 -1 }} | | {{Monzo| 25 -14 0 -1 }} | ||
| 3.8041 | | 3.8041 | ||
| Sasaru | | Sasaru | ||
| Garischisma | | [[Garischisma]] | ||
|- | |- | ||
| 11 | | 11 | ||
| 100/99 | | [[100/99]] | ||
| {{Monzo| 2 -2 2 0 -1 }} | | {{Monzo| 2 -2 2 0 -1 }} | ||
| 17.399 | | 17.399 | ||
| Luyoyo | | Luyoyo | ||
| Ptolemisma | | Ptolemisma | ||
|- | |- | ||
| 11 | | 11 | ||
| 121/120 | | [[121/120]] | ||
| {{Monzo| -3 -1 -1 0 2 }} | | {{Monzo| -3 -1 -1 0 2 }} | ||
| 14.367 | | 14.367 | ||
| Lologu | | Lologu | ||
| Biyatisma | | Biyatisma | ||
|- | |- | ||
| 11 | | 11 | ||
| 896/891 | | [[896/891]] | ||
| {{Monzo| 7 -4 0 1 -1 }} | | {{Monzo| 7 -4 0 1 -1 }} | ||
| 9.6880 | | 9.6880 | ||
| Saluzo | | Saluzo | ||
| Pentacircle | | Pentacircle | ||
|- | |- | ||
| 11 | | 11 | ||
| 441/440 | | [[441/440]] | ||
| {{Monzo| -3 2 -1 2 -1 }} | | {{Monzo| -3 2 -1 2 -1 }} | ||
| 3.9302 | | 3.9302 | ||
| Luzozogu | | Luzozogu | ||
| Werckisma | | Werckisma | ||
|- | |- | ||
| 11 | | 11 | ||
| 4000/3993 | | [[4000/3993]] | ||
| {{Monzo| 5 -1 3 0 -3 }} | | {{Monzo| 5 -1 3 0 -3 }} | ||
| 3.0323 | | 3.0323 | ||
| Trithuyo | | Trithuyo | ||
| Wizardharry | | Wizardharry | ||
|- | |- | ||
| 11 | | 11 | ||
| 9801/9800 | | [[9801/9800]] | ||
| {{Monzo| -3 4 -2 -2 2 }} | | {{Monzo| -3 4 -2 -2 2 }} | ||
| 0.17665 | | 0.17665 | ||
| Bilorugu | | Bilorugu | ||
| Kalisma | | Kalisma, Gauss' comma | ||
|- | |- | ||
| 13 | | 13 | ||
| 91/90 | | [[91/90]] | ||
| {{Monzo| -1 -2 -1 1 0 1 }} | | {{Monzo| -1 -2 -1 1 0 1 }} | ||
| 19.130 | | 19.130 | ||
| Thozogu | | Thozogu | ||
| Superleap | | Superleap | ||
|} | |} | ||
<references/> | |||
== Linear temperaments == | == Linear temperaments == |