Mitonismic temperaments: Difference between revisions
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[[Category:Mitonismic temperaments| ]] <!-- main article --> | [[Category:Mitonismic temperaments| ]] <!-- main article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
Revision as of 22:01, 2 March 2022
These are rank-2 temperaments that temper out the mitonisma, 5250987/5242880 = [-20 7 -1 4⟩.
Temperaments dicussed elsewhere include mother, amigo, merman, rodan, sesquiquartififths, arch, mitonic, bison, cotoneum, mutt, tokko, and hemipental.
Meridic
Subgroup: 2.3.5.7
Comma list: 5250987/5242880, 2202927104/2197265625
Mapping: [⟨43 0 168 257], ⟨0 1 -1 -2]]
Mapping generators: ~64/63, ~3
POTE generator: ~3/2 = 701.8376
Badness: 0.230038
11-limit
Subgroup: 2.3.5.7.11
Comma list: 41503/41472, 172032/171875, 1240029/1239040
Mapping: [⟨43 0 168 257 -192], ⟨0 1 -1 -2 5]]
POTE generator: ~3/2 = 701.8572
Vals: Template:Val list
Badness: 0.111149
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 2200/2197, 4096/4095, 21168/21125, 39366/39325
Mapping: [⟨43 0 168 257 -192 91], ⟨0 1 -1 -2 5 1]]
POTE generator: ~3/2 = 701.8510
Vals: Template:Val list
Badness: 0.071435
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 833/832, 1701/1700, 2200/2197, 4096/4095, 11016/11011
Mapping: [⟨43 0 168 257 -192 91 -165], ⟨0 1 -1 -2 5 1 5]]
POTE generator: ~3/2 = 701.8718
Vals: Template:Val list
Badness: 0.047292