20edo: Difference between revisions
ET parameter name, cleanup |
→Commas: rework commatable |
||
| Line 451: | Line 451: | ||
== Commas == | == Commas == | ||
20 EDO [[ | 20 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val| 20 32 46 56 69 74 }}.) | ||
{| class="wikitable | {| class="commatable wikitable center-all left-3 right-4 left-6" | ||
|- | |- | ||
! [[Ratio]] | ! [[Harmonic limit|Prime<br>Limit]] | ||
! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref> | |||
! [[Monzo]] | ! [[Monzo]] | ||
! [[ | ! [[Cent]]s | ||
! [[Color | ! [[Color name]] | ||
! Name | ! Name(s) | ||
|- | |- | ||
| 256/243 | | 3 | ||
| [[256/243]] | |||
| {{Monzo| 8 -5 }} | | {{Monzo| 8 -5 }} | ||
| 90.22 | |||
|Sawa | | Sawa | ||
| [[Limma]] | | [[Limma]], Pythagorean Minor 2nd | ||
|- | |- | ||
| 16875/16384 | | 5 | ||
| [[16875/16384]] | |||
| {{Monzo| -14 3 4 }} | | {{Monzo| -14 3 4 }} | ||
| 51.12 | |||
|Laquadyo | | Laquadyo | ||
| Negri Comma | | Negri Comma, Double Augmentation Diesis | ||
|- | |- | ||
|34171875/33554432 | | 5 | ||
| [[34171875/33554432|(16 digits)]] | |||
| {{Monzo| -25 7 6 }} | | {{Monzo| -25 7 6 }} | ||
| 31.57 | |||
|Lala-tribiyo | | Lala-tribiyo | ||
| Ampersand's Comma | | [[Ampersand]], Ampersand's Comma | ||
|- | |- | ||
| 2048/2025 | | 5 | ||
| [[2048/2025]] | |||
| {{Monzo| 11 -4 -2 }} | | {{Monzo| 11 -4 -2 }} | ||
| 19.55 | |||
|Sagugu | | Sagugu | ||
| Diaschisma | | Diaschisma | ||
|- | |- | ||
| 525/512 | | 7 | ||
| [[525/512]] | |||
| {{Monzo| -9 1 2 1 }} | | {{Monzo| -9 1 2 1 }} | ||
| 43.41 | |||
|Lazoyoyo | | Lazoyoyo | ||
| Avicennma | | Avicennma, Avicenna's Enharmonic Diesis | ||
|- | |- | ||
| 49/48 | | 7 | ||
| [[49/48]] | |||
| {{Monzo| -4 -1 0 2 }} | | {{Monzo| -4 -1 0 2 }} | ||
| 35.70 | |||
|Zozo | | Zozo | ||
| Slendro Diesis | | Slendro Diesis | ||
|- | |- | ||
| 50/49 | | 7 | ||
| [[50/49]] | |||
| {{Monzo| 1 0 2 -2 }} | | {{Monzo| 1 0 2 -2 }} | ||
| 34.98 | |||
|Biruyo | | Biruyo | ||
| Tritonic Diesis | | Tritonic Diesis, Jubilisma | ||
|- | |- | ||
| 686/675 | | 7 | ||
| [[686/675]] | |||
| {{Monzo| 1 -3 -2 3 }} | | {{Monzo| 1 -3 -2 3 }} | ||
| 27.99 | |||
|Trizo-agugu | | Trizo-agugu | ||
| Senga | | Senga | ||
|- | |- | ||
| 64/63 | | 7 | ||
| [[64/63]] | |||
| {{Monzo| 6 -2 0 -1 }} | | {{Monzo| 6 -2 0 -1 }} | ||
| 27.26 | |||
|Ru | | Ru | ||
| Septimal Comma | | Septimal Comma, Archytas' Comma, Leipziger Komma | ||
|- | |- | ||
| 854296875/843308032 | | 7 | ||
| <abbr title="854296875/843308032">(18 digits)</abbr> | |||
| {{Monzo| -10 7 8 -7 }} | | {{Monzo| -10 7 8 -7 }} | ||
| 22.41 | |||
|Lasepru-aquadbiyo | | Lasepru-aquadbiyo | ||
| Blackjackisma | | [[Blackjackisma]] | ||
|- | |- | ||
| 1029/1024 | | 7 | ||
| [[1029/1024]] | |||
| {{Monzo| -10 1 0 3 }} | | {{Monzo| -10 1 0 3 }} | ||
| 8.43 | |||
|Latrizo | | Latrizo | ||
| Gamelisma | | Gamelisma | ||
|- | |- | ||
| 225/224 | | 7 | ||
| [[225/224]] | |||
| {{Monzo| -5 2 2 -1 }} | | {{Monzo| -5 2 2 -1 }} | ||
| 7.71 | |||
|Ruyoyo | | Ruyoyo | ||
| Septimal Kleisma | | Septimal Kleisma, Marvel Comma | ||
|- | |- | ||
| 16875/16807 | | 7 | ||
| [[16875/16807]] | |||
| {{Monzo| 0 3 4 -5 }} | | {{Monzo| 0 3 4 -5 }} | ||
| 6.99 | |||
|Quinru-aquadyo | | Quinru-aquadyo | ||
| Mirkwai | | Mirkwai | ||
|- | |- | ||
| | | 7 | ||
| <abbr title="578509309952/576650390625">(24 digits)</abbr> | |||
| {{Monzo| 11 -10 -10 10 }} | | {{Monzo| 11 -10 -10 10 }} | ||
| 5.57 | |||
|Saquinbizogu | | Saquinbizogu | ||
| Linus | | [[Linus]] | ||
|- | |- | ||
| 121/120 | | 7 | ||
| [[2401/2400]] | |||
| {{Monzo| -5 -1 -2 4 }} | |||
| 0.72 | |||
| Bizozogu | |||
| Breedsma | |||
|- | |||
| 11 | |||
| [[121/120]] | |||
| {{Monzo| -3 -1 -1 0 2 }} | | {{Monzo| -3 -1 -1 0 2 }} | ||
| 14.37 | |||
|Lologu | | Lologu | ||
| Biyatisma | | Biyatisma | ||
|- | |- | ||
| 91/90 | | 13 | ||
| [[91/90]] | |||
| {{Monzo| -1 -2 -1 1 0 1 }} | | {{Monzo| -1 -2 -1 1 0 1 }} | ||
| 19.13 | |||
|Thozogu | | Thozogu | ||
| Superleap | | Superleap | ||
|- | |- | ||
| 676/675 | | 13 | ||
| [[676/675]] | |||
| {{Monzo| 2 -3 -2 0 0 2 }} | | {{Monzo| 2 -3 -2 0 0 2 }} | ||
| 2.56 | |||
|Bithogu | | Bithogu | ||
| Parizeksma | | Parizeksma | ||
|} | |} | ||
<references/> | |||
== Instruments == | == Instruments == | ||