24th-octave temperaments
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Fractional-octave temperaments
← 23rd-octave temperaments 24th-octave temperaments 25th-octave temperaments →
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)
- Main article: Chromium
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