121/120: Difference between revisions

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In [[Just Intonation]], 121/120 is a [[superparticular]] interval ~~(the biyatisma)~~ of around 17.4¢ which makes the difference between two undecimal neutral seconds of [[11/10]] and [[12/11]]. Temperaments in which 121/120 is tempered out include [[22edo]], [[31edo]], [[53edo]] 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 triad which has intervals of 11/8, 11/8, and 16/15.

In [[Just Intonation]], 121/120 (the biyatisma) 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 triad which has intervals of 11/8, 11/8, and 16/15.

See: [[~~Gallery_of_Just_Intervals|~~Galley of Just Intervals]]

See: [[Galley of Just Intervals]]

[[Category:11-limit]]

[[Category:superparticular]]

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-In [[Just Intonation]], 121/120 is a [[superparticular]] interval (the biyatisma) of around 17.4¢ which makes the difference between two undecimal neutral seconds of [[11/10]] and [[12/11]]. Temperaments in which 121/120 is tempered out include [[22edo]], [[31edo]], [[53edo]] 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 triad which has intervals of 11/8, 11/8, and 16/15.
+In [[Just Intonation]], 121/120 (the biyatisma) 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 triad which has intervals of 11/8, 11/8, and 16/15.
-See: [[Gallery_of_Just_Intervals|Galley of Just Intervals]]
+See: [[Galley of Just Intervals]]
 [[Category:11-limit]]
 [[Category:superparticular]]