Laka: Difference between revisions
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{{Infobox regtemp | |||
| Title = Laka | |||
| Subgroups = 2.3.5.7.11; 2.3.5.7.11.13 | |||
| Comma basis = [[540/539]], [[5120/5103]]; <br>[[352/351]], [[540/539]], [[729/728]] | |||
| Edo join 1 = 41 | Edo join 2 = 53 | Edo join 3 = 58 | |||
| Mapping = 1; 1 0 -6 15 12; 0 1 1 -1 -1 | |||
| Generators = 3/2; 5/4 | Generators tuning = 702.6; 386.8 | |||
| Optimization method = CWE | |||
| Odd limit 1 = 11 | Mistuning 1 = 1.74 | Complexity 1 = ? | |||
| Odd limit 2 = 13-limit 21 | Mistuning 2 = 3.20 | Complexity 2 = ? | |||
}} | |||
'''Laka''' is a [[rank-3 temperament]] generated by a perfect fifth of [[~]][[3/2]] and a step for the [[81/80|syntonic]]~[[64/63|septimal comma]] to reach the interval classes of [[5/1|5]], [[7/1|7]], and higher [[prime harmonic|primes]]. Using an arrow to represent this comma step, we have [[5/4]] at the down major third (C–vE), [[7/4]] at the down minor seventh (C–vBb), and [[11/8]] at the up augmented third (C–^E#), [[tempering out]] [[540/539]], which makes it a member of [[swetismic temperaments]]. | '''Laka''' is a [[rank-3 temperament]] generated by a perfect fifth of [[~]][[3/2]] and a step for the [[81/80|syntonic]]~[[64/63|septimal comma]] to reach the interval classes of [[5/1|5]], [[7/1|7]], and higher [[prime harmonic|primes]]. Using an arrow to represent this comma step, we have [[5/4]] at the down major third (C–vE), [[7/4]] at the down minor seventh (C–vBb), and [[11/8]] at the up augmented third (C–^E#), [[tempering out]] [[540/539]], which makes it a member of [[swetismic temperaments]]. | ||