120edo: Difference between revisions

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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.

The 120bdd val is a tuning for [[superpyth]] where 3/2 is tuned to exactly 710{{c}}. It may be used as a ''de facto'' dual fifth in [[Substitute harmonic#Newcome|newcome]] temperament.

The 120bdd val is a tuning for [[superpyth]] where 3/2 is tuned to exactly 710{{c}}. An additional temperament worth considering for the 710{{c}} fifth is [[surmarvelpyth]], which sharpens it by [[225/224]] and assigns that value instead of 3/2. It may be used as a ''de facto'' dual fifth in [[Substitute harmonic#Newcome|newcome]] temperament.

=== Prime harmonics ===

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=== Miscellaneous properties ===

~~Being the simplest division of the octave by the Germanic {{w|long hundred}}, it has a unit step which is the fine relative cent of [[1edo]].~~

120edo also has a [[concoctic]] generator that resembles the leap day excess of earth, 29\120 corresponding to 5 hours and 48 minutes.

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 edo 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.
-The 120bdd val is a tuning for [[superpyth]] where 3/2 is tuned to exactly 710{{c}}. It may be used as a ''de facto'' dual fifth in [[Substitute harmonic#Newcome|newcome]] temperament.
+The 120bdd val is a tuning for [[superpyth]] where 3/2 is tuned to exactly 710{{c}}. An additional temperament worth considering for the 710{{c}} fifth is [[surmarvelpyth]], which sharpens it by [[225/224]] and assigns that value instead of 3/2. It may be used as a ''de facto'' dual fifth in [[Substitute harmonic#Newcome|newcome]] temperament.
 === Prime harmonics ===
@@ Line 14: / Line 14: @@
 === Miscellaneous properties ===
-Being the simplest division of the octave by the Germanic {{w|long hundred}}, it has a unit step which is the fine relative cent of [[1edo]].
 edo also has a [[concoctic]] generator that resembles the leap day excess of earth, 29\120 corresponding to 5 hours and 48 minutes.