15th-octave temperaments: Difference between revisions
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Created page with "{{Fractional-octave navigation|15}} == Quindecic == Quindecic preserves the 11-limit structure of 15edo, with an independent generator for harmonic 13. Subgr..." |
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== Quindecic == | == Quindecic == | ||
Quindecic preserves the 11-limit structure of [[15edo]], with an independent generator for [[13/1|harmonic 13]]. | Quindecic preserves the [[11-limit]] structure of [[15edo]], with an independent generator for [[13/1|harmonic 13]]. | ||
[[Subgroup]]: 2.3.5.7.11.13 | [[Subgroup]]: 2.3.5.7.11.13 | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* CTE: ~22/21 = 1\15, ~13/8 = 840.528 (~40/39 = 39.472) | * [[CTE]]: ~22/21 = 1\15, ~13/8 = 840.528 (~40/39 = 39.472) | ||
* POTE: ~22/21 = 1\15, ~13/8 = 852.924 (~40/39 = 27.076) | * [[POTE]]: ~22/21 = 1\15, ~13/8 = 852.924 (~40/39 = 27.076) | ||
{{Optimal ET sequence|legend=1| 15, 30 }} | {{Optimal ET sequence|legend=1| 15, 30 }} | ||
Revision as of 09:09, 21 December 2024
Template:Fractional-octave navigation
Quindecic
Quindecic preserves the 11-limit structure of 15edo, with an independent generator for harmonic 13.
Subgroup: 2.3.5.7.11.13
Comma list: 28/27, 49/48, 55/54, 77/75
Mapping: [⟨15 24 35 42 52 0], ⟨0 0 0 0 0 1]]
- mapping generators: ~22/21, ~13
- CTE: ~22/21 = 1\15, ~13/8 = 840.528 (~40/39 = 39.472)
- POTE: ~22/21 = 1\15, ~13/8 = 852.924 (~40/39 = 27.076)
Badness (Smith): 0.028944