Dimcomp family: Difference between revisions
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{{Optimal ET sequence|legend=1| 8d, 12, 44d, 48d, 56, 60, 68, 72, 140, 152, 212, 224, 364, 588, 952 }} | {{Optimal ET sequence|legend=1| 8d, 12, 44d, 48d, 56, 60, 68, 72, 140, 152, 212, 224, 364, 588, 952 }} | ||
[[Badness]] ( | [[Badness]] (Sintel): 3.45 | ||
== Undecimal dimcomp == | == Undecimal dimcomp == | ||
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{{Optimal ET sequence|legend=1| 68, 72, 140, 152, 224, 364, 436, 588 }} | {{Optimal ET sequence|legend=1| 68, 72, 140, 152, 224, 364, 436, 588 }} | ||
[[Badness]] ( | [[Badness]] (Sintel): 0.751 | ||
=== 13-limit === | === 13-limit === | ||
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{{Optimal ET sequence|legend=0| 68, 72, 140, 152f, 212, 224, 364, 436, 588, 660, 1024c }} | {{Optimal ET sequence|legend=0| 68, 72, 140, 152f, 212, 224, 364, 436, 588, 660, 1024c }} | ||
Badness ( | Badness (Sintel): 0.767 | ||
== Octopod == | == Octopod == | ||
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[[Comma list]]: 540/539, 1375/1372, 4000/3993 | [[Comma list]]: 540/539, 1375/1372, 4000/3993 | ||
{{Mapping|legend=1| 8 1 3 3 16 0 | 0 3 4 5 3 0 | 0 0 0 0 0 1 }} | |||
{{Optimal ET sequence|legend=1| 72, 144, 152f, 224, 824d }} | {{Optimal ET sequence|legend=1| 72, 144, 152f, 224, 824d }} | ||
[[Badness]] ( | [[Badness]] (Sintel): 1.16 | ||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
Revision as of 08:23, 12 February 2026
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
The dimcomp family of rank-3 temperaments tempers out the dimcomp comma (monzo: [-1 -4 8 -4⟩, ratio: 390625/388962).
Dimcomp
Subgroup: 2.3.5.7
Comma list: 390625/388962
Mapping: [⟨4 0 0 -1], ⟨0 1 0 -1], ⟨0 0 1 2]]
- mapping generators: ~25/21, ~3, ~5
Optimal ET sequence: 8d, 12, 44d, 48d, 56, 60, 68, 72, 140, 152, 212, 224, 364, 588, 952
Badness (Sintel): 3.45
Undecimal dimcomp
Subgroup: 2.3.5.7.11
Comma list: 1375/1372, 6250/6237
Mapping: [⟨4 0 0 -1 5], ⟨0 1 0 -1 -3], ⟨0 0 1 2 3]]
Optimal ET sequence: 68, 72, 140, 152, 224, 364, 436, 588
Badness (Sintel): 0.751
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 625/624, 1375/1372, 2080/2079
Mapping: [⟨4 0 0 -1 5 -16], ⟨0 1 0 -1 -3 -1], ⟨0 0 1 2 3 4]]
Optimal ET sequence: 68, 72, 140, 152f, 212, 224, 364, 436, 588, 660, 1024c
Badness (Sintel): 0.767
Octopod
Subgroup: 2.3.5.7.11.13
Comma list: 540/539, 1375/1372, 4000/3993
Mapping: [⟨8 1 3 3 16 0], ⟨0 3 4 5 3 0], ⟨0 0 0 0 0 1]]
Optimal ET sequence: 72, 144, 152f, 224, 824d
Badness (Sintel): 1.16