50edo: Difference between revisions
→Commas: monzos via template, write out limits |
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50 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val|50 79 116 140 173 185 204 212 226}}, comma values in cents rounded to 2 decimal places.) This list is not all-inclusive, and is based on the interval table from Scala version 2.2. | 50 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val|50 79 116 140 173 185 204 212 226}}, comma values in cents rounded to 2 decimal places.) This list is not all-inclusive, and is based on the interval table from Scala version 2.2. | ||
{| 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]] | ||
! | ! [[Cent]]s | ||
! Name | ! Name(s) | ||
|- | |- | ||
| 5 | | 5 | ||
| 81/80 | | [[81/80]] | ||
| {{Monzo| -4 4 -1 }} | | {{Monzo| -4 4 -1 }} | ||
| 21.51 | | 21.51 | ||
| Syntonic comma | | Syntonic comma, Didymus comma | ||
|- | |- | ||
| 5 | | 5 | ||
| | | <abbr title="1220703125/1207959552">(20 digits)</abbr> | ||
| {{Monzo| -27 -2 13 }} | | {{Monzo| -27 -2 13 }} | ||
| 18.17 | | 18.17 | ||
| Ditonma | | [[Ditonma]] | ||
|- | |- | ||
| 5 | | 5 | ||
| | | [[6115295232/6103515625|(20 digits)]] | ||
| {{Monzo| 23 6 -14 }} | | {{Monzo| 23 6 -14 }} | ||
| 3.34 | | 3.34 | ||
| Vishnu comma | | [[Vishnuzma]], Vishnu comma | ||
|- | |- | ||
| 7 | | 7 | ||
| 59049/57344 | | [[59049/57344]] | ||
| {{Monzo| -13 10 0 -1 }} | | {{Monzo| -13 10 0 -1 }} | ||
| 50.72 | | 50.72 | ||
| Harrison's comma | | Harrison's comma | ||
|- | |- | ||
| 7 | | 7 | ||
| 126/125 | | [[126/125]] | ||
| {{Monzo| 1 2 -3 1 }} | | {{Monzo| 1 2 -3 1 }} | ||
| 13.79 | | 13.79 | ||
| Starling comma | | Starling comma, Small septimal comma | ||
|- | |- | ||
| 7 | | 7 | ||
| 225/224 | | [[225/224]] | ||
| {{Monzo| -5 2 2 -1 }} | | {{Monzo| -5 2 2 -1 }} | ||
| 7.71 | | 7.71 | ||
| Septimal kleisma | | Septimal kleisma, Marvel comma | ||
|- | |- | ||
| 7 | | 7 | ||
| 3136/3125 | | [[3136/3125]] | ||
| {{Monzo| 6 0 -5 2 }} | | {{Monzo| 6 0 -5 2 }} | ||
| 6.08 | | 6.08 | ||
| Hemimean | | Hemimean, Middle second comma | ||
|- | |- | ||
| 7 | | 7 | ||
| | | <abbr title="578509309952/576650390625">(24 digits)</abbr> | ||
| {{Monzo| 11 -10 -10 10 }} | | {{Monzo| 11 -10 -10 10 }} | ||
| 5.57 | | 5.57 | ||
| Linus | | [[Linus]] | ||
|- | |- | ||
| 7 | | 7 | ||
| | | [[703125/702464|(12 digits)]] | ||
| {{Monzo| -11 2 7 -3 }} | | {{Monzo| -11 2 7 -3 }} | ||
| 1.63 | | 1.63 | ||
| Meter | | [[Meter]] | ||
|- | |- | ||
| 7 | | 7 | ||
| | | <abbr title="420175/419904">(12 digits)</abbr> | ||
| {{Monzo| -6 -8 2 5 }} | | {{Monzo| -6 -8 2 5 }} | ||
| 1.12 | | 1.12 | ||
| Wizma | | [[Wizma]] | ||
|- | |- | ||
| 11 | | 11 | ||
| 245/242 | | [[245/242]] | ||
| {{Monzo| -1 0 1 2 -2 }} | | {{Monzo| -1 0 1 2 -2 }} | ||
| 21.33 | | 21.33 | ||
| Cassacot | | Cassacot | ||
|- | |- | ||
| 11 | | 11 | ||
| 385/384 | | [[385/384]] | ||
| {{Monzo| -7 -1 1 1 1 }} | | {{Monzo| -7 -1 1 1 1 }} | ||
| 4.50 | | 4.50 | ||
| Keenanisma | | Keenanisma, undecimal kleisma | ||
|- | |- | ||
| 11 | | 11 | ||
| 540/539 | | [[540/539]] | ||
| {{Monzo| 2 3 1 -2 -1 }} | | {{Monzo| 2 3 1 -2 -1 }} | ||
| 3.21 | | 3.21 | ||
| Swets' comma | | Swets' comma, Swetisma | ||
|- | |- | ||
| 11 | | 11 | ||
| 4000/3993 | | [[4000/3993]] | ||
| {{Monzo| 5 -1 3 0 -3 }} | | {{Monzo| 5 -1 3 0 -3 }} | ||
| 3.03 | | 3.03 | ||
| Wizardharry | | Wizardharry, undecimal schisma | ||
|- | |- | ||
| 11 | | 11 | ||
| 9801/9800 | | [[9801/9800]] | ||
| {{Monzo| -3 4 -2 -2 2 }} | | {{Monzo| -3 4 -2 -2 2 }} | ||
| 0.18 | | 0.18 | ||
| Kalisma | | Kalisma, Gauss' comma | ||
|- | |- | ||
| 13 | | 13 | ||
| 105/104 | | [[105/104]] | ||
| {{Monzo| -3 1 1 1 0 -1 }} | | {{Monzo| -3 1 1 1 0 -1 }} | ||
| 16.57 | | 16.57 | ||
| Animist comma | | Animist comma, small tridecimal comma | ||
|- | |- | ||
| 13 | | 13 | ||
| 144/143 | | [[144/143]] | ||
| {{Monzo| 4 2 0 0 -1 -1 }} | | {{Monzo| 4 2 0 0 -1 -1 }} | ||
| 12.06 | | 12.06 | ||
| Grossma | | Grossma | ||
|- | |- | ||
| 13 | | 13 | ||
| 196/195 | | [[196/195]] | ||
| {{Monzo| 2 -1 -1 2 0 -1 }} | | {{Monzo| 2 -1 -1 2 0 -1 }} | ||
| 8.86 | | 8.86 | ||
| Mynucuma | | Mynucuma | ||
|- | |- | ||
| 13 | | 13 | ||
| 1188/1183 | | [[1188/1183]] | ||
| {{Monzo| 2 3 0 -1 1 -2 }} | | {{Monzo| 2 3 0 -1 1 -2 }} | ||
| 7.30 | | 7.30 | ||
| Kestrel Comma | | Kestrel Comma | ||
|- | |- | ||
| 13 | | 13 | ||
| 364/363 | | [[364/363]] | ||
| {{Monzo| 2 -1 0 1 -2 1 }} | | {{Monzo| 2 -1 0 1 -2 1 }} | ||
| 4.76 | | 4.76 | ||
| Gentle comma | | Gentle comma | ||
|- | |- | ||
| 13 | | 13 | ||
| 2200/2197 | | [[2200/2197]] | ||
| {{Monzo| 3 0 2 0 1 -3 }} | | {{Monzo| 3 0 2 0 1 -3 }} | ||
| 2.36 | | 2.36 | ||
| Petrma | | Petrma, Parizek comma | ||
|- | |- | ||
| 23 | | 23 | ||
| 1288/1287 | | [[1288/1287]] | ||
| {{Monzo| 3 -2 0 1 -1 -1 0 0 1 }} | | {{Monzo| 3 -2 0 1 -1 -1 0 0 1 }} | ||
| 1.34 | | 1.34 | ||
| Triaphonisma | | Triaphonisma | ||
|} | |} | ||
<references/> | |||
== Music == | == Music == |