45th-octave temperaments: Difference between revisions
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{{Infobox fractional-octave|45}} | {{Infobox fractional-octave|45}} | ||
Temperaments discussed elsewhere include: | Temperaments discussed elsewhere include: | ||
* [[Rhodium]] - [[ | * [[Rhodium]] - [[Septiennealimmal clan#Rhodium|Septiennealimmal clan]] | ||
== 45-quartismic == | == 45-quartismic == | ||
Latest revision as of 02:56, 13 April 2025
Temperaments discussed elsewhere include:
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, ...