400th-octave temperaments: Difference between revisions
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→Centismic: 13400 isn't even a multiple of 400 |
m Text replacement - "{{Mapping|legend=2| " to "{{Mapping|legend=3| " |
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Comma list: {{monzo| -1001 -400 0 0 0 0 400 }} | Comma list: {{monzo| -1001 -400 0 0 0 0 400 }} | ||
{{Mapping|legend= | {{Mapping|legend=3| 400 0 1001 | 0 1 1 }} | ||
: mapping generators: ~{{monzo| 498 199 -199 }} = 1\400, ~3, | : mapping generators: ~{{monzo| 498 199 -199 }} = 1\400, ~3, | ||
Latest revision as of 17:38, 30 September 2026
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, 13600, ...
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, 13600, ...