Aberrismic theory: Difference between revisions

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At times, a scale pattern has varying temperaments according to the tuning. For example, 5L2m3s may be given the temperament structure of either untempered 2.3.5 or Flutterpyth temperament.
At times, a scale pattern has varying temperaments according to the tuning. For example, 5L2m3s may be given the temperament structure of either untempered 2.3.5 or Flutterpyth temperament.
=== Example: blackdye ===
=== Example: blackdye ===
The following table shows two different temperament interpretations for the same aberrismic scale pattern blackdye ('''sLmLsLmLsL'''), untempered 2.3.5 and [[Flutterpyth]].
The following table shows two different temperament interpretations for the same aberrismic scale pattern blackdye ('''sLmLsLmLsL'''), under untempered 2.3.5 and [[Flutterpyth]] respectively.
* ''Untempered 2.3.5'' does not mean that the final tuning must be the JI tuning, but simply that there exists a tuning with no error, or equivalently that no comma needs to be tempered out.
* ''Untempered 2.3.5'' does not mean that the final tuning must be the JI tuning, but simply that there exists a tuning with no error, or equivalently that no comma needs to be tempered out.
* Flutterpyth, 2.3.7.11.13[32 & 37], is a rank-2 diatonic temperament that tempers out 64/63 like Superpyth but tunes the 3/2 even sharper, as a result tempering C-D# to a 14/11 and C-Fb to a 13/11. [[37edo]] provides a nearly optimal tuning.
* Flutterpyth, 2.3.7.11.13[32 & 37], is a rank-2 diatonic temperament that tempers out 64/63 like Superpyth but tunes the 3/2 even sharper, as a result tempering C-D# to a 14/11 and C-Fb to a 13/11. [[37edo]] provides a nearly optimal tuning.