45th-octave temperaments

Fractional-octave temperaments

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← 44th-octave • 45th-octave • 46th-octave →

Temperaments discussed elsewhere include:

• Rhodium - Ragismic microtemperaments

45-quartismic

45-quartisma is the tiny comma which is the difference between the stack of 45 33/32 quartertone and two octaves, 4/1. It maps 33/32 into two steps of 45edo.

Subgroup: 2.3.5.7.11

Comma list: [227 -45 0 0 -45⟩

Mapping: [⟨45 0 0 0 227], ⟨0 1 0 0 -1], ⟨0 0 1 0 0], ⟨0 0 0 1 0]]

mapping generators: ~[111 -22 -22⟩ = 1\45, ~3, ~5, ~7

Supporting ETs: 45, 90, 135, 270, 720, 855, 1125, 1395, ...