15th-octave temperaments: Difference between revisions
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{{Fractional-octave navigation|15}} | {{Fractional-octave navigation|15}} | ||
== Pentadecal == | == Pentadecal == | ||
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Badness: 0.055361 | Badness: 0.055361 | ||
=== Quindecic === | |||
Quindecic preserves the [[11-limit]] structure of [[15edo]], with an independent generator for [[13/1|harmonic 13]]. | |||
[[Subgroup]]: 2.3.5.7.11.13 | |||
[[Comma list]]: 28/27, 49/48, 55/54, 77/75 | |||
[[Mapping]]: {{mapping| 15 24 35 42 52 0 | 0 0 0 0 0 1 }} | |||
: mapping generators: ~22/21, ~13 | |||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~22/21 = 80.000, ~13/8 = 840.528 (~40/39 = 39.472) | |||
* [[POTE]]: ~22/21 = 80.000, ~13/8 = 852.924 (~40/39 = 27.076) | |||
{{Optimal ET sequence|legend=1| 15, 30 }} | |||
[[Badness]] (Smith): 0.028944 | |||
{{Fractional-octave footer}} | {{Fractional-octave footer}} |