262144/253125: Difference between revisions
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'''262144/253125''', the quasidozen comma, is a 5-limit comma measuring about 60.6 cents. It is the amount by which five [[16/15]] exceed [[4/3]]. Tempering out this comma in the 5-limit results in the '''quasidozen temperament''', which generates a quasidozenal ([[12L 1s]]) MOS, essentially a compressed 12edo scale | '''262144/253125''', the quasidozen comma, is a 5-limit comma measuring about 60.6 cents. It is the amount by which five [[16/15]] exceed [[4/3]]. Tempering out this comma in the 5-limit results in the '''quasidozen temperament''', which generates a quasidozenal ([[12L 1s]]) MOS, essentially a compressed 12edo scale if you ignore the octave. In addition to [[12edo]] itself, this temperament is less accurately supported by several small EDOs of the form 12n+1 such as [[25edo]], [[37edo]], and [[49edo]] (all containing superpyth/archy-style fifths). | ||
Revision as of 07:27, 2 August 2023
| Interval information |
reduced subharmonic
262144/253125, the quasidozen comma, is a 5-limit comma measuring about 60.6 cents. It is the amount by which five 16/15 exceed 4/3. Tempering out this comma in the 5-limit results in the quasidozen temperament, which generates a quasidozenal (12L 1s) MOS, essentially a compressed 12edo scale if you ignore the octave. In addition to 12edo itself, this temperament is less accurately supported by several small EDOs of the form 12n+1 such as 25edo, 37edo, and 49edo (all containing superpyth/archy-style fifths).