Aberschismic: Difference between revisions
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# equates the Pythagorean augmented fourth 729/512 with 10/7 | # equates the Pythagorean augmented fourth 729/512 with 10/7 | ||
== Extensions == | |||
* Prime 11 may be added by tempering out either 385/384 (thus equating 36/35 with 33/32; this is called Akea) or 896/891 (thus equating 81/64 with 14/11; this is called Pele) | |||
* Prime 13 may be added by tempering out 4096/4095 | |||
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{{Cat|Temperaments}} | {{Cat|Temperaments}} | ||
Revision as of 22:07, 3 April 2026
Hemifamity or Aberschismic, 2.3.5.7[41 & 46 & 53], is a 7-limit rank-3 temperament that tempers out 5120/5103 (known as the hemifamiton or the aberschisma), which manifests in several different ways:
- equates the 3-spine prime commas for 5 and 7, 81/80 and 64/63
- equates the limma 256/243 with 21/20
- equates the apotome 2187/2048 with 15/14
- equates the Pythagorean augmented fourth 729/512 with 10/7
Extensions
- Prime 11 may be added by tempering out either 385/384 (thus equating 36/35 with 33/32; this is called Akea) or 896/891 (thus equating 81/64 with 14/11; this is called Pele)
- Prime 13 may be added by tempering out 4096/4095
