24th-octave temperaments: Difference between revisions
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{{Fractional-octave navigation|24}} | {{Fractional-octave navigation|24}} | ||
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. | 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. | ||
Temperaments discussed elswhere include: | |||
* ''Hours'', → [[Compton family#Hours|Compton family]] | |||
* ''Rabic'', → [[Alphaxenic rank three clan#Rabic|Alphaxenic rank three clan]] | |||
== Chromium (5-limit) == | == Chromium (5-limit) == | ||
Revision as of 23:17, 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.
Temperaments discussed elswhere include:
- Hours, → Compton family
- Rabic, → Alphaxenic rank three clan
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