121/120: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 121/120 | | Ratio = 121/120 | ||
| Cents = 14.36716 | | Cents = 14.36716 | ||
| Monzo = -3 -1 -1 0 2 | | Monzo = -3 -1 -1 0 2 | ||
| Name = biyatisma, <br> undecimal seconds comma | | Name = biyatisma, <br>undecimal seconds comma | ||
| Color name = | | Color name = | ||
| FJS name = d1<sup> | | FJS name = d1<sup>121</sup><sub>5</sub> | ||
| Sound = | | Sound = | ||
}} | }} | ||
In [[ | 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]]. Equal temperaments in which 121/120 is [[tempered out]] include {{EDOs| 15, 22, 29, 31, 46, 53 }} 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]]). | ||
== See also == | == See also == | ||
* [[Biyatismic chords]] | * [[Biyatismic chords]] | ||
* [[Rank-4 temperament #Biyatismic (121/120)]] | |||
* [[Biyatismic temperaments]], a collection of rank-3 temperaments where it is tempered out | |||
* [[Small comma]] | * [[Small comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
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[[Category:Small comma]] | [[Category:Small comma]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Biyatismic]] | |||