120edo: Difference between revisions
m →Theory: Mentioned Newcome |
Anything about edostep size vs JND is useless due to how broad JND are interpreted (even the "upper bound" and "lower bound"); misc. cleanup |
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== 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 is an excellent tuning in the 2.3.7.11.13.23.29 subgroup. In the no- | |||
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. | 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. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|120}} | {{Harmonics in equal|120}} | ||
=== Subsets and supersets === | |||
120edo is the 10th highly composite edo and the 5th factorial edo (120 = 5! = 1 × 2 × 3 × 4 × 5). | |||
=== Miscellaneous properties === | === Miscellaneous properties === | ||
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120edo also has a concoctic generator that resembles the leap day excess of earth, 29\120 corresponding to 5 hours and 48 minutes. | 120edo also has a concoctic generator that resembles the leap day excess of earth, 29\120 corresponding to 5 hours and 48 minutes. | ||
== | == Intervals == | ||
{{Interval table}} | {{Interval table}} | ||