25edo: Difference between revisions
m Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot |
→Commas: rework commatable |
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| Line 239: | Line 239: | ||
== Commas == | == Commas == | ||
25 EDO tempers out the following [[ | 25 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val| 25 40 58 70 86 93 }}.) | ||
{| class="wikitable center-all left- | {| class="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]] | ||
! [[Cents]] | ! [[Cents]] | ||
! [[Color name]] | ! [[Color name]] | ||
! Name | ! Name(s) | ||
|- | |- | ||
| 256/243 | | 3 | ||
| [[256/243]] | |||
| {{Monzo| 8 -5 }} | | {{Monzo| 8 -5 }} | ||
| 90.22 | | 90.22 | ||
| Sawa | | Sawa | ||
| Limma | | Limma, Pythagorean Minor 2nd | ||
|- | |- | ||
| 3125/3072 | | 5 | ||
| [[3125/3072]] | |||
| {{Monzo| -10 -1 5 }} | | {{Monzo| -10 -1 5 }} | ||
| 29.61 | | 29.61 | ||
| Laquinyo | | Laquinyo | ||
| Small Diesis | | Small Diesis, Magic Comma | ||
|- | |- | ||
| | | 5 | ||
| <abbr title="274877906944/274658203125">(24 digits)</abbr> | |||
| {{Monzo| 38 -2 -15 }} | | {{Monzo| 38 -2 -15 }} | ||
| 1.38 | | 1.38 | ||
| Sasa-quintrigu | | Sasa-quintrigu | ||
| Hemithirds | | [[Hemithirds comma]] | ||
|- | |- | ||
| 16807/16384 | | 7 | ||
| [[16807/16384]] | |||
| {{Monzo| -14 0 0 5 }} | | {{Monzo| -14 0 0 5 }} | ||
| 44.13 | | 44.13 | ||
| Laquinzo | | Laquinzo | ||
| | | Cloudy | ||
|- | |- | ||
| 49/48 | | 7 | ||
| [[49/48]] | |||
| {{Monzo| -4 -1 0 2 }} | | {{Monzo| -4 -1 0 2 }} | ||
| 35.70 | | 35.70 | ||
| Zozo | | Zozo | ||
| Slendro Diesis | | Slendro Diesis | ||
|- | |- | ||
| 64/63 | | 7 | ||
| [[64/63]] | |||
| {{Monzo| 6 -2 0 -1 }} | | {{Monzo| 6 -2 0 -1 }} | ||
| 27.26 | | 27.26 | ||
| Ru | | Ru | ||
| Septimal Comma | | Septimal Comma, Archytas' Comma, Leipziger Komma | ||
|- | |- | ||
| 3125/3087 | | 7 | ||
| [[3125/3087]] | |||
| {{Monzo| 0 -2 5 -3 }} | | {{Monzo| 0 -2 5 -3 }} | ||
| 21.18 | | 21.18 | ||
| Triru-aquinyo | | Triru-aquinyo | ||
| Gariboh | | Gariboh | ||
|- | |- | ||
| 50421/50000 | | 7 | ||
| [[50421/50000]] | |||
| {{Monzo| -4 1 -5 5 }} | | {{Monzo| -4 1 -5 5 }} | ||
| 14.52 | | 14.52 | ||
| Quinzogu | | Quinzogu | ||
| Trimyna | | Trimyna | ||
|- | |- | ||
| 1029/1024 | | 7 | ||
| [[1029/1024]] | |||
| {{Monzo| -10 1 0 3 }} | | {{Monzo| -10 1 0 3 }} | ||
| 8.43 | | 8.43 | ||
| Latrizo | | Latrizo | ||
| Gamelisma | | Gamelisma | ||
|- | |- | ||
| 3136/3125 | | 7 | ||
| [[3136/3125]] | |||
| {{Monzo| 6 0 -5 2 }} | | {{Monzo| 6 0 -5 2 }} | ||
| 6.08 | | 6.08 | ||
| Zozoquingu | | Zozoquingu | ||
| Hemimean | | Hemimean comma | ||
|- | |- | ||
| 65625/65536 | | 7 | ||
| [[65625/65536]] | |||
| {{Monzo| -16 1 5 1 }} | | {{Monzo| -16 1 5 1 }} | ||
| 2.35 | | 2.35 | ||
| Lazoquinyo | | Lazoquinyo | ||
| Horwell | | Horwell | ||
|- | |- | ||
| 100/99 | | 11 | ||
| [[100/99]] | |||
| {{Monzo| 2 -2 2 0 -1 }} | | {{Monzo| 2 -2 2 0 -1 }} | ||
| 17.40 | | 17.40 | ||
| Luyoyo | | Luyoyo | ||
| Ptolemisma | | Ptolemisma | ||
|- | |- | ||
| 176/175 | | 11 | ||
| [[176/175]] | |||
| {{Monzo| 4 0 -2 -1 1 }} | | {{Monzo| 4 0 -2 -1 1 }} | ||
| 9.86 | | 9.86 | ||
| Lorugugu | | Lorugugu | ||
| Valinorsma | | Valinorsma | ||
|- | |- | ||
| 91/90 | | 13 | ||
| [[91/90]] | |||
| {{Monzo| -1 -2 -1 1 0 1 }} | | {{Monzo| -1 -2 -1 1 0 1 }} | ||
| 19.13 | | 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 | | 2.56 | ||
| Bithogu | | Bithogu | ||
| Parizeksma | | Parizeksma | ||
|} | |} | ||
<references/> | |||
== A 25edo keyboard == | == A 25edo keyboard == | ||