40ed10: Difference between revisions
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== 40ed10 as a generator == | == 40ed10 as a generator == | ||
40ED10 can also be thought of as a [[generator]] of the 2.3.5.17.19 [[Subgroup temperaments|subgroup temperament]] which tempers out 4624/4617, 6144/6137, and 6885/6859, which is a [[cluster temperament]] with 12 clusters of notes in an octave (''quintilischis'' temperament). This temperament is supported by {{Val list|12, 253, 265, 277, 289, 301}}, and [[ | 40ED10 can also be thought of as a [[generator]] of the 2.3.5.17.19 [[Subgroup temperaments|subgroup temperament]] which tempers out 4624/4617, 6144/6137, and 6885/6859, which is a [[cluster temperament]] with 12 clusters of notes in an octave (''quintilischis'' temperament). This temperament is supported by {{Val list|12, 253, 265, 277, 289, 301, 313}}, and [[325edo|325]] EDOs. | ||
Tempering out 400/399 (equating 20/19 and 21/20) leads ''[[Schismatic family #Quintilipyth|quintilipyth]]'' (12&253), and tempering out 476/475 (equating 19/17 with 28/25) leads ''[[Schismatic family #Quintaschis|quintaschis]]'' (12&289). | Tempering out 400/399 (equating 20/19 and 21/20) leads ''[[Schismatic family #Quintilipyth|quintilipyth]]'' (12&253), and tempering out 476/475 (equating 19/17 with 28/25) leads ''[[Schismatic family #Quintaschis|quintaschis]]'' (12&289). | ||