15th-octave temperaments: Difference between revisions

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m Linking
m Spell out 1\15
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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 = 80.000, ~13/8 = 840.528 (~40/39 = 39.472)
* [[POTE]]: ~22/21 = 1\15, ~13/8 = 852.924 (~40/39 = 27.076)
* [[POTE]]: ~22/21 = 80.000, ~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 09:10, 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

Optimal tunings:

  • 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 sequence15, 30

Badness (Smith): 0.028944


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