22edo: Difference between revisions
→Commas: monzos via template, write out limits |
→Commas: rework commatable |
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{{todo| cleanup }} <!-- switch monzos to template in the following table --> | {{todo| cleanup }} <!-- switch monzos to template in the following table --> | ||
{| 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 | ||
| Line 1,028: | Line 1,026: | ||
| 49.17 | | 49.17 | ||
| Triyo | | Triyo | ||
| Maximal | | Maximal diesis, Porcupine comma | ||
|- | |- | ||
| 5 | | 5 | ||
| Line 1,037: | Line 1,033: | ||
| 29.61 | | 29.61 | ||
| Laquinyo | | Laquinyo | ||
| Small | | Small diesis, Magic comma | ||
|- | |- | ||
| 5 | | 5 | ||
| Line 1,047: | Line 1,041: | ||
| Sagugu | | Sagugu | ||
| Diaschisma | | Diaschisma | ||
|- | |- | ||
| 5 | | 5 | ||
| 2109375/2097152 | | [[2109375/2097152|(14 digits)]] | ||
| {{Monzo| -21 3 7 }} | | {{Monzo| -21 3 7 }} | ||
| 10.06 | | 10.06 | ||
| Lasepyo | | Lasepyo | ||
| Semicomma | | [[Semicomma]], Fokker comma | ||
|- | |- | ||
| 5 | | 5 | ||
| | | <abbr title="4294967296/4271484375">(20 digits)</abbr> | ||
| {{Monzo| 32 -7 -9 }} | | {{Monzo| 32 -7 -9 }} | ||
| 9.49 | | 9.49 | ||
| Sasa-tritrigu | | Sasa-tritrigu | ||
| Escapade | | [[Escapade comma]] | ||
|- | |- | ||
| 5 | | 5 | ||
| | | <abbr title="9010162353515625/9007199254740992">(32 digits)</abbr> | ||
| {{Monzo| -53 10 16 }} | | {{Monzo| -53 10 16 }} | ||
| 0.57 | | 0.57 | ||
| Quadla-quadquadyo | | Quadla-quadquadyo | ||
| Kwazy | | [[Kwazy]] | ||
|- | |- | ||
| 7 | | 7 | ||
| Line 1,082: | Line 1,068: | ||
| 34.98 | | 34.98 | ||
| Biruyo | | Biruyo | ||
| Tritonic | | Tritonic diesis, Jubilisma | ||
|- | |- | ||
| 7 | | 7 | ||
| Line 1,091: | Line 1,075: | ||
| 27.26 | | 27.26 | ||
| Ru | | Ru | ||
| Septimal | | Septimal comma, Archytas' comma, Leipziger Komma | ||
|- | |- | ||
| 7 | | 7 | ||
| 875/864 | | [[875/864]] | ||
| {{Monzo| -5 -3 3 1 }} | | {{Monzo| -5 -3 3 1 }} | ||
| 21.90 | | 21.90 | ||
| Zotriyo | | Zotriyo | ||
| Keema | | Keema | ||
|- | |- | ||
| 7 | | 7 | ||
| 2430/2401 | | [[2430/2401]] | ||
| {{Monzo| 1 5 1 -4 }} | | {{Monzo| 1 5 1 -4 }} | ||
| 20.79 | | 20.79 | ||
| Quadru-ayo | | Quadru-ayo | ||
| Nuwell | | Nuwell | ||
|- | |- | ||
| 7 | | 7 | ||
| Line 1,119: | Line 1,097: | ||
| Zozoyo | | Zozoyo | ||
| Sensamagic | | Sensamagic | ||
|- | |- | ||
| 7 | | 7 | ||
| 1728/1715 | | [[1728/1715]] | ||
| {{Monzo| 6 3 -1 -3 }} | | {{Monzo| 6 3 -1 -3 }} | ||
| 13.07 | | 13.07 | ||
| Triru-agu | | Triru-agu | ||
| Orwellisma | | Orwellisma, Orwell comma | ||
|- | |- | ||
| 7 | | 7 | ||
| Line 1,136: | Line 1,110: | ||
| 7.71 | | 7.71 | ||
| Ruyoyo | | Ruyoyo | ||
| Septimal | | Septimal kleisma, Marvel comma | ||
|- | |- | ||
| 7 | | 7 | ||
| 10976/10935 | | [[10976/10935]] | ||
| {{Monzo| 5 -7 -1 3 }} | | {{Monzo| 5 -7 -1 3 }} | ||
| 6.48 | | 6.48 | ||
| Trizo-agu | | Trizo-agu | ||
| Hemimage | | Hemimage | ||
|- | |- | ||
| 7 | | 7 | ||
| 6144/6125 | | [[6144/6125]] | ||
| {{Monzo| 11 1 -3 -2 }} | | {{Monzo| 11 1 -3 -2 }} | ||
| 5.36 | | 5.36 | ||
| Saruru-atrigu | | Saruru-atrigu | ||
| Porwell | | Porwell | ||
|- | |- | ||
| 7 | | 7 | ||
| 65625/65536 | | [[65625/65536]] | ||
| {{Monzo| -16 1 5 1 }} | | {{Monzo| -16 1 5 1 }} | ||
| 2.35 | | 2.35 | ||
| Lazoquinyo | | Lazoquinyo | ||
| Horwell | | Horwell | ||
|- | |- | ||
| 7 | | 7 | ||
| 420175/419904 | | <abbr title="420175/419904">(12 digits)</abbr> | ||
| {{Monzo| -6 -8 2 5 }} | | {{Monzo| -6 -8 2 5 }} | ||
| 1.12 | | 1.12 | ||
| Quinzo-ayoyo | | Quinzo-ayoyo | ||
| Wizma | | [[Wizma]] | ||
|- | |- | ||
| 11 | | 11 | ||
| Line 1,182: | Line 1,146: | ||
| Loruru | | Loruru | ||
| Mothwellsma | | Mothwellsma | ||
|- | |- | ||
| 11 | | 11 | ||
| Line 1,191: | Line 1,153: | ||
| Luyoyo | | Luyoyo | ||
| Ptolemisma | | Ptolemisma | ||
|- | |- | ||
| 11 | | 11 | ||
| Line 1,200: | Line 1,160: | ||
| Lologu | | Lologu | ||
| Biyatisma | | Biyatisma | ||
|- | |- | ||
| 11 | | 11 | ||
| Line 1,209: | Line 1,167: | ||
| Lorugugu | | Lorugugu | ||
| Valinorsma | | Valinorsma | ||
|- | |- | ||
| 11 | | 11 | ||
| 896/891 | | [[896/891]] | ||
| {{Monzo| 7 -4 0 1 -1 }} | | {{Monzo| 7 -4 0 1 -1 }} | ||
| 9.69 | | 9.69 | ||
| Saluzo | | Saluzo | ||
| Pentacircle | | Pentacircle | ||
|- | |- | ||
| 11 | | 11 | ||
| 65536/65219 | | [[65536/65219]] | ||
| {{Monzo| 16 0 0 -2 -3 }} | | {{Monzo| 16 0 0 -2 -3 }} | ||
| 8.39 | | 8.39 | ||
| Satrilu-aruru | | Satrilu-aruru | ||
| Orgonisma | | Orgonisma | ||
|- | |- | ||
| 11 | | 11 | ||
| 385/384 | | [[385/384]] | ||
| {{Monzo| -7 -1 1 1 1 }} | | {{Monzo| -7 -1 1 1 1 }} | ||
| 4.50 | | 4.50 | ||
| |Lozoyo | | |Lozoyo | ||
| Keenanisma | | Keenanisma | ||
|- | |- | ||
| 11 | | 11 | ||
| 540/539 | | [[540/539]] | ||
| {{Monzo| 2 3 1 -2 -1 }} | | {{Monzo| 2 3 1 -2 -1 }} | ||
| 3.21 | | 3.21 | ||
| Lururuyo | | Lururuyo | ||
| Swetisma | | Swetisma | ||
|- | |- | ||
| 11 | | 11 | ||
| 4000/3993 | | [[4000/3993]] | ||
| {{Monzo| 5 -1 3 0 -3 }} | | {{Monzo| 5 -1 3 0 -3 }} | ||
| 3.03 | | 3.03 | ||
| Triluyo | | Triluyo | ||
| Wizardharry | | Wizardharry | ||
|- | |- | ||
| 11 | | 11 | ||
| Line 1,262: | Line 1,208: | ||
| 0.18 | | 0.18 | ||
| 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 }} | ||
| 19.13 | | 19.13 | ||
| Thozogu | | Thozogu | ||
| Superleap | | Superleap | ||
|- | |- | ||
| 31 | | 31 | ||
| [[125/124]] | | [[125/124]] | ||
| {{Monzo| -2 0 3 0 | | {{Monzo| -2 0 3 0 0 0 0 0 0 0 -1 }} | ||
| 13.91 | | 13.91 | ||
| Thiwutriyo | | Thiwutriyo | ||
| Twizzler | | Twizzler | ||
|} | |} | ||
<references/> | |||
== Staff Notation == | == Staff Notation == | ||