15th-octave temperaments: Difference between revisions

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{{Fractional-octave navigation|15}}
{{Fractional-octave navigation|15}}
== 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


== 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


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