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| ==Commas== | | ==Commas== |
| 16 EDO [[tempering_out|tempers out]] the following [[comma]]s. (Note: This assumes [[val|val]] < 16 25 37 45 55 59 |.) | | 16 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes [[val]] {{val| 16 25 37 45 55 59 }}.) |
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| {| class="wikitable" | | {| class="commatable wikitable center-all left-3 right-4 left-6" |
| |- | | |- |
| ! | [[Ratio]] | | ! [[Harmonic limit|Prime<br>Limit]] |
| ! | [[Monzo]] | | ! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref> |
| ! | [[Cent|Cents]] | | ! [[Monzo]] |
| ![[Color notation/Temperament Names|Color Name]] | | ! [[Cent]]s |
| ! | Name 1 | | ! [[Color name]] |
| ! | Name 2
| | ! Name(s) |
| ! | Name 3
| |
| |- | | |- |
| | style="text-align:center;" | 135/128 | | | 5 |
| | |<nowiki> | -7 3 1 </nowiki>> | | | [[135/128]] |
| | style="text-align:right;" | 92.18
| | | {{Monzo| -7 3 1 }} |
| | style="text-align:center;" |Layobi
| | | 92.18 |
| | style="text-align:center;" | Major Chroma
| | | Layobi |
| | style="text-align:center;" | Major Limma
| | | Major Chroma, Major Limma, Pelogic Comma |
| | style="text-align:center;" | Pelogic Comma
| |
| |- | | |- |
| | style="text-align:center;" | 648/625 | | | 5 |
| | |<nowiki> | 3 4 -4 </nowiki>> | | | [[648/625]] |
| | style="text-align:right;" | 62.57
| | | {{Monzo| 3 4 -4 }} |
| | style="text-align:center;" |Quadgu
| | | 62.57 |
| | style="text-align:center;" | Major Diesis
| | | Quadgu |
| | style="text-align:center;" | Diminished Comma
| | | Major Diesis, Diminished Comma |
| | style="text-align:center;" |
| |
| |- | | |- |
| | style="text-align:center;" | 3125/3072 | | | 5 |
| | |<nowiki> | -10 -1 5 </nowiki>> | | | [[3125/3072]] |
| | style="text-align:right;" | 29.61
| | | {{Monzo| -10 -1 5 }} |
| | style="text-align:center;" |Laquinyo
| | | 29.61 |
| | style="text-align:center;" | Small Diesis
| | | Laquinyo |
| | style="text-align:center;" | Magic Comma
| | | Small Diesis, Magic Comma |
| | style="text-align:center;" |
| |
| |- | | |- |
| | style="text-align:center;" | 36/35 | | | 5 |
| | |<nowiki> | 2 2 -1 -1 </nowiki>> | | | [[6115295232/6103515625|(20 digits)]] |
| | style="text-align:right;" | 48.77 | | | {{Monzo| 23 6 -14 }} |
| | style="text-align:center;" |Rugu
| | | 3.34 |
| | style="text-align:center;" | Septimal Quarter Tone
| | | Sasepbiru |
| | style="text-align:center;" | | | | [[Vishnuzma]], Semisuper |
| | style="text-align:center;" | | |
| |- | | |- |
| | style="text-align:center;" | 525/512 | | | 7 |
| | |<nowiki> | -9 1 2 1 </nowiki>> | | | [[36/35]] |
| | style="text-align:right;" | 43.41 | | | {{Monzo| 2 2 -1 -1 }} |
| | style="text-align:center;" |Lazoyoyo
| | | 48.77 |
| | style="text-align:center;" | Avicennma | | | Rugu |
| | style="text-align:center;" | Avicenna's Enharmonic Diesis | | | Septimal Quarter Tone |
| | style="text-align:center;" |
| |
| |- | | |- |
| | style="text-align:center;" | 50/49 | | | 7 |
| | |<nowiki> | 1 0 2 -2 </nowiki>> | | | [[525/512]] |
| | style="text-align:right;" | 34.98 | | | {{Monzo| -9 1 2 1 }} |
| | style="text-align:center;" |Biruyo | | | 43.41 |
| | style="text-align:center;" | Tritonic Diesis | | | Lazoyoyo |
| | style="text-align:center;" | Jubilisma
| | | Avicennma, Avicenna's Enharmonic Diesis |
| | style="text-align:center;" |
| |
| |- | | |- |
| | style="text-align:center;" | 64827/64000 | | | 7 |
| | |<nowiki> | -9 3 -3 4 </nowiki>> | | | [[50/49]] |
| | style="text-align:right;" | 22.23 | | | {{Monzo| 1 0 2 -2 }} |
| | style="text-align:center;" |Laquadzo-atrigu
| | | 34.98 |
| | style="text-align:center;" | Squalentine
| | | Biruyo |
| | style="text-align:center;" | | | | Tritonic Diesis, Jubilisma |
| | style="text-align:center;" | | |
| |- | | |- |
| | style="text-align:center;" | 3125/3087 | | | 7 |
| | |<nowiki> | 0 -2 5 -3 </nowiki>> | | | [[64827/64000]] |
| | style="text-align:right;" | 21.18 | | | {{Monzo| -9 3 -3 4 }} |
| | style="text-align:center;" |Triru-aquinyo | | | 22.23 |
| | style="text-align:center;" | Gariboh | | | Laquadzo-atrigu |
| | style="text-align:center;" |
| | | Squalentine |
| | style="text-align:center;" |
| |
| |- | | |- |
| | style="text-align:center;" | 126/125 | | | 7 |
| | |<nowiki> | 1 2 -3 1 </nowiki>> | | | [[3125/3087]] |
| | style="text-align:right;" | 13.79 | | | {{Monzo| 0 -2 5 -3 }} |
| | style="text-align:center;" |Zotrigu
| | | 21.18 |
| | style="text-align:center;" | Septimal Semicomma | | | Triru-aquinyo |
| | style="text-align:center;" | Starling Comma | | | Gariboh |
| | style="text-align:center;" |
| |
| |- | | |- |
| | style="text-align:center;" | 1029/1024 | | | 7 |
| | |<nowiki> | -10 1 0 3 </nowiki>> | | | [[126/125]] |
| | style="text-align:right;" | 8.43 | | | {{Monzo| 1 2 -3 1 }} |
| | style="text-align:center;" |Latrizo | | | 13.79 |
| | style="text-align:center;" | Gamelisma | | | Zotrigu |
| | style="text-align:center;" |
| | | Septimal Semicomma, Starling Comma |
| | style="text-align:center;" |
| |
| |- | | |- |
| | style="text-align:center;" | 6144/6125 | | | 7 |
| | |<nowiki> | 11 1 -3 -2 </nowiki>> | | | [[81029/1024]] |
| | style="text-align:right;" | 5.36 | | | {{Monzo| -10 1 0 3 }} |
| | style="text-align:center;" |Sarurutrigu | | | 8.43 |
| | style="text-align:center;" | Porwell | | | Latrizo |
| | style="text-align:center;" |
| | | Gamelisma |
| | style="text-align:center;" |
| |
| |- | | |- |
| | style="text-align:center;" | | | | 7 |
| | |<nowiki> | 23 6 -14 </nowiki>> | | | [[6144/6125]] |
| | style="text-align:right;" | 3.34 | | | {{Monzo| 11 1 -3 -2 }} |
| | style="text-align:center;" |Sasepbiru
| | | 5.36 |
| | style="text-align:center;" | Vishnuzma | | | Sarurutrigu |
| | style="text-align:center;" | Semisuper | | | Porwell |
| | style="text-align:center;" | | |
| |- | | |- |
| | style="text-align:center;" | 121/120 | | | 11 |
| | |<nowiki> | -3 -1 -1 0 2 </nowiki>> | | | [[121/120]] |
| | style="text-align:right;" | 14.37
| | | {{Monzo| -3 -1 -1 0 2 }} |
| | style="text-align:center;" |Lologu
| | | 14.37 |
| | style="text-align:center;" | Biyatisma
| | | Lologu |
| | style="text-align:center;" |
| | | Biyatisma |
| | style="text-align:center;" |
| |
| |- | | |- |
| | style="text-align:center;" | 176/175 | | | 11 |
| | |<nowiki> | 4 0 -2 -1 1 </nowiki>> | | | [[176/175]] |
| | style="text-align:right;" | 9.86
| | | {{Monzo| 4 0 -2 -1 1 }} |
| | style="text-align:center;" |Lorugugu
| | | 9.86 |
| | style="text-align:center;" | Valinorsma
| | | Lorugugu |
| | style="text-align:center;" |
| | | Valinorsma |
| | style="text-align:center;" |
| |
| |- | | |- |
| | style="text-align:center;" | 385/384 | | | 11 |
| | |<nowiki> | -7 -1 1 1 1 </nowiki>> | | | [[385/384]] |
| | style="text-align:right;" | 4.50
| | | {{Monzo| -7 -1 1 1 1 }} |
| | style="text-align:center;" |Lozoyo
| | | 4.50 |
| | style="text-align:center;" | Keenanisma
| | | Lozoyo |
| | style="text-align:center;" |
| | | Keenanisma |
| | style="text-align:center;" |
| |
| |- | | |- |
| | style="text-align:center;" | 441/440 | | | 11 |
| | |<nowiki> | -3 2 -1 2 -1 </nowiki>> | | | [[441/440]] |
| | style="text-align:right;" | 3.93
| | | {{Monzo| -3 2 -1 2 -1 }} |
| | style="text-align:center;" |Luzozogu
| | | 3.93 |
| | style="text-align:center;" | Werckisma
| | | Luzozogu |
| | style="text-align:center;" |
| | | Werckisma |
| | style="text-align:center;" |
| |
| |- | | |- |
| | style="text-align:center;" | 3025/3024 | | | 11 |
| | |<nowiki> | -4 -3 2 -1 2 </nowiki>> | | | [[3025/3024]] |
| | style="text-align:right;" | 0.57
| | | {{Monzo| -4 -3 2 -1 2 }} |
| | style="text-align:center;" |Loloruyoyo
| | | 0.57 |
| | style="text-align:center;" | Lehmerisma
| | | Loloruyoyo |
| | style="text-align:center;" |
| | | Lehmerisma |
| | style="text-align:center;" |
| |
| |} | | |} |
| | <references/> |
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| ==Armodue Theory (4-line staff)== | | ==Armodue Theory (4-line staff)== |