120edo: Difference between revisions

+subsets; misc. cleanup
-surmarvelpyth (pointless in 120edo as prime 5 is more than 120 steps away)
Line 3: Line 3:


== Theory ==
== Theory ==
120edo is an excellent tuning in the 2.3.7.11.13.23.29 [[subgroup]]. In the no-5's 11-limit, it tempers out [[243/242]].
120edo shares the [[perfect fifth]] with 12edo, [[tempering out]] the [[Pythagorean comma]]. 120edo is an excellent tuning in the 2.3.7.11.13.23.29 [[subgroup]]. In the no-5's 11-limit, it tempers out [[243/242]]. In the patent val 120edo is also a tuning for the 7-limit [[decoid]] temperament.


120edo shares the perfect fifth with 12edo, tempering out the [[Pythagorean comma]]. The sharp fifth of 710 cents also has regular temperament interpretations. It is used in the 120b val for tuning the 5-limit [[superpyth]] temperament where it represents 3/2, and in the 120g val as a tuning for the 19-limit [[surmarvelpyth]] temperament where it represents 675/448, which is [[marvel comma]] sharp of 3/2. It may be used as a ''de facto'' dual fifth in [[Substitute harmonic#Newcome|newcome]] temperament. In the patent val 120edo is also a tuning for the 7-limit [[decoid]] temperament.
The 120bdd val is a tuning for [[superpyth]] where 3/2 is tuned to exactly 710 cents. It may be used as a ''de facto'' dual fifth in [[Substitute harmonic#Newcome|newcome]] temperament.  


=== Prime harmonics ===
=== Prime harmonics ===