121/120: Difference between revisions
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In [[Just Intonation]], 121/120 | {{Infobox Interval | ||
| Icon = | |||
| Ratio = 121/120 | |||
| Cents = 14.36716 | |||
| Monzo = -3 -1 -1 0 2 | |||
| Name = biyatisma, <br> undecimal seconds comma | |||
| Color name = | |||
| Sound = | |||
}} | |||
In [[Just Intonation]], '''121/120''', otherwise known as the '''biyatisma''', or '''undecimal seconds comma''', is a [[superparticular]] interval of around 14.4¢ which makes the difference between two undecimal neutral seconds of [[11/10]] and [[12/11]]. Temperaments in which 121/120 is tempered out include [[15edo|15]], [[22edo|22]], [[29edo|29]], [[31edo|31]], [[46edo|46]], [[53edo|53]] EDOs and others; in such systems, 11/10 and 12/11 are equated. This is in contrast to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. Along with being the difference between 11/10 and 12/11, 121/120 is the difference between [[11/8]] and [[15/11]], so that tempering out 121/120 allows for the [[Dyadic chord|dyadic triad]] which has intervals of 11/8, 11/8, and 16/15 ([[Biyatismic chords|biyatismic triad]]). | |||
See: [[Gallery of Just Intervals]] | See: [[Gallery of Just Intervals]] | ||
[[Category:11-limit]] | [[Category:11-limit]] | ||
[[Category:superparticular]] | [[Category:superparticular]] | ||
Revision as of 03:33, 27 November 2020
| Interval information |
undecimal seconds comma
reduced
In Just Intonation, 121/120, otherwise known as the biyatisma, or undecimal seconds comma, is a superparticular interval of around 14.4¢ which makes the difference between two undecimal neutral seconds of 11/10 and 12/11. Temperaments in which 121/120 is tempered out include 15, 22, 29, 31, 46, 53 EDOs and others; in such systems, 11/10 and 12/11 are equated. This is in contrast to the more familiar tempering out of 81/80, which results in meantone and other temperaments, in which 10/9 is equated with 9/8. Along with being the difference between 11/10 and 12/11, 121/120 is the difference between 11/8 and 15/11, so that tempering out 121/120 allows for the dyadic triad which has intervals of 11/8, 11/8, and 16/15 (biyatismic triad).