# 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