400th-octave temperaments: Difference between revisions
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Revision as of 03:58, 14 February 2025
Centismic
Centismic maps 289/288 into 1\200, and tritones 24/17 and 17/12 respectively into 597 and 603 cents exactly.
Subgroup: 2.3.5.7.11.13.17
Comma list: [-1001 -400 0 0 0 0 400⟩
Mapping: [⟨400 0 0 0 0 0 1001], ⟨0 1 0 0 0 0 1], ⟨0 0 1 0 0 0 0], ⟨0 0 0 1 0 0 0]]
- mapping generators: ~[498 199 -199⟩ = 1\400, ~3, ~5, ~7, ~11, ~13
Supporting ETs: 400, 13400, ...
Centic
Subgroup: 2.3.17
Comma list: [-1001 -400 0 0 0 0 400⟩
Subgroup-val mapping: [⟨400 0 1001], ⟨0 1 1]]
- mapping generators: ~[498 199 -199⟩ = 1\400, ~3,
Supporting ETs: 400, 13400, ...