Marvel family: Difference between revisions
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{{Main| Marvel }} | {{Main| Marvel }} | ||
Undecimal marvel tempers out [[385/384]] as well as [[540/539]], and is loosely [[associated temperament|associated]] with [[wizard]]. [[197edo]] remains useful as a tuning, with the 197e val, but [[166edo]], which among other things has a virtually pure 7, works as well. | Undecimal marvel tempers out [[385/384]] as well as [[540/539]], and is loosely [[associated temperament|associated]] with [[wizard]]. [[197edo]] remains useful as a tuning, with the 197e val, but [[166edo]], which among other things has a virtually pure 7, works as well. | ||
This extension is natural because of the factorization 225/224=(385/384)*(540/539). In the 13-limit, 225/224 factors as ([[351/350]])*([[625/624]]) or ([[325/324]])*([[729/728]]). Tempering out 351/350 and 625/624 leads to tridecimal marvel, tempering out 325/324 and 729/728 leads to hecate. Tempering out all of them leads to the 13-limit version of [[catakleismic]]. | |||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||