20edo: Difference between revisions
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m →Regular temperament properties: cleanup |
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=== Commas === | === Commas === | ||
20et [[tempering out|tempers out]] the following [[comma]]s. This assumes the [[val]] {{val| 20 32 46 56 69 74 }}. | |||
{| class="commatable wikitable center-all left-3 right-4 left-6" | {| class="commatable wikitable center-all left-3 right-4 left-6" | ||
|- | |- | ||
![[Harmonic limit|Prime<br> | ! [[Harmonic limit|Prime<br>limit]] | ||
![[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref> | ! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref> | ||
![[Monzo]] | ! [[Monzo]] | ||
![[Cent]]s | ! [[Cent]]s | ||
! [[Color name]] | ! [[Color name]] | ||
! Name(s) | ! Name(s) | ||
|- | |- | ||
|3 | | 3 | ||
|[[256/243]] | | [[256/243]] | ||
|{{monzo| 8 -5 }} | | {{monzo| 8 -5 }} | ||
|90.22 | | 90.22 | ||
|Sawa | | Sawa | ||
| | | Blackwood comma, Pythagorean limma | ||
|- | |- | ||
|5 | | 5 | ||
|[[16875/16384]] | | [[16875/16384]] | ||
|{{monzo| -14 3 4 }} | | {{monzo| -14 3 4 }} | ||
| 51.12 | | 51.12 | ||
|Laquadyo | | Laquadyo | ||
|Negri | | Negri comma | ||
|- | |- | ||
| 5 | | 5 | ||
|[[34171875/33554432|(16 digits)]] | | [[34171875/33554432|(16 digits)]] | ||
|{{monzo| -25 7 6 }} | | {{monzo| -25 7 6 }} | ||
|31.57 | | 31.57 | ||
|Lala-tribiyo | | Lala-tribiyo | ||
| | | Ampersand comma | ||
|- | |- | ||
| 5 | | 5 | ||
| [[2048/2025]] | | [[2048/2025]] | ||
| | | {{monzo| 11 -4 -2 }} | ||
{{monzo| 11 -4 -2 }} | | 19.55 | ||
|19.55 | | Sagugu | ||
|Sagugu | | Diaschisma | ||
|Diaschisma | |||
|- | |- | ||
|7 | | 7 | ||
|[[525/512]] | | [[525/512]] | ||
|{{monzo| -9 1 2 1 }} | | {{monzo| -9 1 2 1 }} | ||
|43.41 | | 43.41 | ||
|Lazoyoyo | | Lazoyoyo | ||
|Avicennma, Avicenna's | | Avicennma, Avicenna's enharmonic diesis | ||
|- | |- | ||
|7 | | 7 | ||
|[[49/48]] | | [[49/48]] | ||
|{{monzo| -4 -1 0 2 }} | | {{monzo| -4 -1 0 2 }} | ||
|35.70 | | 35.70 | ||
|Zozo | | Zozo | ||
| | | Semaphoresma, slendro diesis | ||
|- | |- | ||
|7 | | 7 | ||
|[[50/49]] | | [[50/49]] | ||
|{{monzo| 1 0 2 -2 }} | | {{monzo| 1 0 2 -2 }} | ||
|34.98 | | 34.98 | ||
|Biruyo | | Biruyo | ||
| | | Jubilisma, tritonic diesis | ||
|- | |- | ||
|7 | | 7 | ||
|[[686/675]] | | [[686/675]] | ||
|{{monzo| 1 -3 -2 3 }} | | {{monzo| 1 -3 -2 3 }} | ||
|27.99 | | 27.99 | ||
|Trizo-agugu | | Trizo-agugu | ||
|Senga | | Senga | ||
|- | |- | ||
| 7 | | 7 | ||
|[[64/63]] | | [[64/63]] | ||
|{{monzo| 6 -2 0 -1 }} | | {{monzo| 6 -2 0 -1 }} | ||
|27.26 | | 27.26 | ||
|Ru | | Ru | ||
|Septimal | | Septimal comma, Archytas' comma, Leipziger Komma | ||
|- | |- | ||
|7 | | 7 | ||
|<abbr title="854296875/843308032">(18 digits)</abbr> | | <abbr title="854296875/843308032">(18 digits)</abbr> | ||
| {{monzo| -10 7 8 -7 }} | | {{monzo| -10 7 8 -7 }} | ||
|22.41 | | 22.41 | ||
|Lasepru-aquadbiyo | | Lasepru-aquadbiyo | ||
|[[Blackjackisma]] | | [[Blackjackisma]] | ||
|- | |- | ||
|7 | | 7 | ||
|[[1029/1024]] | | [[1029/1024]] | ||
|{{monzo| -10 1 0 3 }} | | {{monzo| -10 1 0 3 }} | ||
|8.43 | | 8.43 | ||
|Latrizo | | Latrizo | ||
|Gamelisma | | Gamelisma | ||
|- | |- | ||
|7 | | 7 | ||
|[[225/224]] | | [[225/224]] | ||
|{{monzo| -5 2 2 -1 }} | | {{monzo| -5 2 2 -1 }} | ||
|7.71 | | 7.71 | ||
|Ruyoyo | | Ruyoyo | ||
| | | Marvel comma, septimal kleisma | ||
|- | |- | ||
|7 | | 7 | ||
|[[16875/16807]] | | [[16875/16807]] | ||
|{{monzo| 0 3 4 -5 }} | | {{monzo| 0 3 4 -5 }} | ||
| 6.99 | | 6.99 | ||
|Quinru-aquadyo | | Quinru-aquadyo | ||
|Mirkwai | | Mirkwai comma | ||
|- | |- | ||
|7 | | 7 | ||
| <abbr title="578509309952/576650390625">(24 digits)</abbr> | | <abbr title="578509309952/576650390625">(24 digits)</abbr> | ||
|{{monzo| 11 -10 -10 10 }} | | {{monzo| 11 -10 -10 10 }} | ||
|5.57 | | 5.57 | ||
|Saquinbizogu | | Saquinbizogu | ||
|[[Linus comma | | [[Linus comma]] | ||
|- | |- | ||
| 7 | | 7 | ||
|[[2401/2400]] | | [[2401/2400]] | ||
|{{monzo| -5 -1 -2 4 }} | | {{monzo| -5 -1 -2 4 }} | ||
|0.72 | | 0.72 | ||
|Bizozogu | | Bizozogu | ||
|Breedsma | | Breedsma | ||
|- | |- | ||
|11 | | 11 | ||
|[[121/120]] | | [[121/120]] | ||
|{{monzo| -3 -1 -1 0 2 }} | | {{monzo| -3 -1 -1 0 2 }} | ||
| 14.37 | | 14.37 | ||
| Lologu | | Lologu | ||
|Biyatisma | | Biyatisma | ||
|- | |- | ||
|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 comma, biome comma | ||
|- | |- | ||
|13 | | 13 | ||
|[[676/675]] | | [[676/675]] | ||
|{{monzo| 2 -3 -2 0 0 2 }} | | {{monzo| 2 -3 -2 0 0 2 }} | ||
|2.56 | | 2.56 | ||
|Bithogu | | Bithogu | ||
| | | Island comma, parizeksma | ||
|} | |} | ||
<references /> | <references /> |