Escapade family: Difference between revisions
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am making a case for 2.3.5.11 being the fount of further extensions |
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[[Badness]]: 0.083778 | [[Badness]]: 0.083778 | ||
== | == Escapade (2.3.5.11 subgroup) == | ||
Since (an ideally slightly flat) 4/3 is split in three by the interval of 3 generators, it makes sense to equate that interval to [[11/10]] by tempering out [[4000/3993]], and therefore the generator to (11/10)/(16/15) = [[33/32]]; this does minimal damage to the temperament. | Since (an ideally slightly flat) 4/3 is split in three by the interval of 3 generators, it makes sense to equate that interval to [[11/10]] by tempering out [[4000/3993]], and therefore the generator to (11/10)/(16/15) = [[33/32]]; this does minimal damage to the temperament. This structure in 2.3.5.11 occurs in all extensions of escapade to include prime 7, and therefore will be considered the fount of all further extensions. | ||
Subgroup: 2.3.5.11 | Subgroup: 2.3.5.11 | ||