121/120: Difference between revisions

The 1-11/8-15/8 chord is essentially just
+protomere
Line 8: Line 8:


== Temperaments ==
== Temperaments ==
[[Tempering out]] this comma in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]), enabling [[biyatismic chords]]. 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]]. See [[biyatismic clan]] for the clan of rank-3 temperaments where it is tempered out. Equal temperaments in which 121/120 is tempered out include {{EDOs| 15, 22, 29, 31, 46, 53 }} and others.  
[[Tempering out]] this comma in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]). Tempering it out in the 2.3.5.11 [[subgroup]] gives the rank-3 [[protomere]] temperament. See [[biyatismic clan]] for extensions of protomere. In such systems, 11/10 and 12/11 are equated, enabling [[biyatismic chords]]. 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]]. Equal temperaments in which 121/120 is tempered out include {{EDOs| 15, 22, 29, 31, 46, 53 }} and others.  


== See also ==
== See also ==