Mitonismic temperaments: Difference between revisions
m Removing from Category:Regular temperament theory using Cat-a-lot |
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
||
| Line 14: | Line 14: | ||
[[POTE generator]]: ~3/2 = 701.8376 | [[POTE generator]]: ~3/2 = 701.8376 | ||
{{ | {{Optimal ET sequence|legend=1| 43, 172d, 215d, 258, 301, 559, 860, 2021d, 2881cd }} | ||
[[Badness]]: 0.230038 | [[Badness]]: 0.230038 | ||
| Line 27: | Line 27: | ||
POTE generator: ~3/2 = 701.8572 | POTE generator: ~3/2 = 701.8572 | ||
{{Optimal ET sequence|legend=1| 258, 301, 559, 860 }} | |||
Badness: 0.111149 | Badness: 0.111149 | ||
| Line 40: | Line 40: | ||
POTE generator: ~3/2 = 701.8510 | POTE generator: ~3/2 = 701.8510 | ||
{{Optimal ET sequence|legend=1| 258, 301, 559, 860f }} | |||
Badness: 0.071435 | Badness: 0.071435 | ||
| Line 53: | Line 53: | ||
POTE generator: ~3/2 = 701.8718 | POTE generator: ~3/2 = 701.8718 | ||
{{Optimal ET sequence|legend=1| 258, 301, 559, 860f }} | |||
Badness: 0.047292 | Badness: 0.047292 | ||
Revision as of 18:16, 7 May 2023
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
Optimal ET sequence: 43, 172d, 215d, 258, 301, 559, 860, 2021d, 2881cd
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
Optimal ET sequence: 258, 301, 559, 860
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
Optimal ET sequence: 258, 301, 559, 860f
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
Optimal ET sequence: 258, 301, 559, 860f
Badness: 0.047292