24th-octave temperaments: Difference between revisions
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redundant check |
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{{mapping|legend=1|24 37 54|0 3 5}} | {{mapping|legend=1|24 37 54|0 3 5}} | ||
: mapping generators: ~256/243 = 1\24, 109418989131512359209/76293945312500000000 = 617.287 | |||
[[Support]]ing [[ET]]s: {{EDOs|72, 480, 552, 624, 696, 768, 1320}}, ... | |||
Badness: 0.36784 | Badness: 0.36784 | ||
Revision as of 23:15, 7 July 2023
Template:Fractional-octave navigation 24edo is otherwise known as the quartertone tuning, so 24th-octave temperaments include temperaments where the period is any interval which is considered a quartertone.
Chromium (5-limit)
The chromium temperament is defined by equating a stack of 24 porcupine commas with the octave. In 7-limit and higher, see Landscape microtemperaments#Chromium.
Subgroup: 2.3.5
Comma list: [-23 120 -72⟩
Mapping: [⟨24 37 54], ⟨0 3 5]]
- mapping generators: ~256/243 = 1\24, 109418989131512359209/76293945312500000000 = 617.287
Supporting ETs: 72, 480, 552, 624, 696, 768, 1320, ...
Badness: 0.36784