Mirwomo temperaments: Difference between revisions
Jump to navigation
Jump to search
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
Update keys and links |
||
| Line 1: | Line 1: | ||
This is a collection of [[Rank-2 temperament|rank-2]] [[temperament]]s [[tempering out]] the [[mirwomo comma]], 33075/32768 = {{monzo| -15 3 2 2 }}. For the rank-3 temperament, see [[Mirwomo family]]. | |||
Temperaments dicussed elsewhere | Considered below is caleb. Temperaments dicussed elsewhere are: | ||
* ''[[Dichotic]]'' (+25/24) → [[Dicot family #Dichotic|Dicot family]] | |||
* ''[[Anguirus]]'' (+49/48) → [[Diaschismic family #Anguirus|Diaschismic family]] | |||
* ''[[Worschmidt]]'' (+126/125) → [[Würschmidt family #Worschmidt|Würschmidt family]] | |||
* ''[[Miracle]]'' (+225/224) → [[Gamelismic clan #Miracle|Gamelismic clan]] | |||
* ''[[Salsa]]'' (+245/243) → [[Sensamagic clan #Salsa|Sensamagic clan]] | |||
* ''[[Monkey]]'' (+875/864) → [[Tetracot family #Monkey|Tetracot family]] | |||
* ''[[Aurora]]'' (+1029/1000) → [[Keegic temperaments #Aurora|Keegic temperaments]] | |||
* ''[[Sentinel]]'' (+1728/1715) → [[Orwellismic temperaments #Sentinel|Orwellismic temperaments]] | |||
* ''[[Zarvo]]'' (+4375/4374) → [[Gravity family #Zarvo|Gravity family]] | |||
* ''[[Mohajira]]'' (+6144/6125) → [[Meantone family #Mohajira|Meantone family]] | |||
* ''[[Hours]]'' (+19683/19600) → [[Compton family #Hours|Compton family]] | |||
== Caleb == | == Caleb == | ||
Subgroup: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: 33075/32768, 250047/250000 | [[Comma list]]: 33075/32768, 250047/250000 | ||
{{Mapping|legend=1| 3 5 7 8 | 0 -6 -1 10 }} | |||
[[POTE | [[Optimal tuning]] ([[POTE]]): ~63/50 = 1\3, ~5/4 = 383.405 | ||
{{Optimal ET sequence|legend=1| 3, 69, 72 }} | {{Optimal ET sequence|legend=1| 3, 69, 72 }} | ||
| Line 21: | Line 32: | ||
Comma list: 441/440, 4125/4096, 4375/4356 | Comma list: 441/440, 4125/4096, 4375/4356 | ||
Mapping: | Mapping: {{mapping| 3 5 7 8 10 | 0 -6 -1 10 9 }} | ||
POTE | Optimal tuning (POTE): ~44/35 = 1\3, ~5/4 = 383.421 | ||
{{Optimal ET sequence|legend=1| 3, 69, 72, 291cde, 363cdde, 435ccdde, 507bccdde }} | {{Optimal ET sequence|legend=1| 3, 69, 72, 291cde, 363cdde, 435ccdde, 507bccdde }} | ||
| Line 30: | Line 41: | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Mirwomo]] | [[Category:Mirwomo temperaments| ]] <!-- main article --> | ||
[[Category:Mirwomo| ]] <!-- key article --> | |||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
Revision as of 09:59, 21 September 2023
This is a collection of rank-2 temperaments tempering out the mirwomo comma, 33075/32768 = [-15 3 2 2⟩. For the rank-3 temperament, see Mirwomo family.
Considered below is caleb. Temperaments dicussed elsewhere are:
- Dichotic (+25/24) → Dicot family
- Anguirus (+49/48) → Diaschismic family
- Worschmidt (+126/125) → Würschmidt family
- Miracle (+225/224) → Gamelismic clan
- Salsa (+245/243) → Sensamagic clan
- Monkey (+875/864) → Tetracot family
- Aurora (+1029/1000) → Keegic temperaments
- Sentinel (+1728/1715) → Orwellismic temperaments
- Zarvo (+4375/4374) → Gravity family
- Mohajira (+6144/6125) → Meantone family
- Hours (+19683/19600) → Compton family
Caleb
Subgroup: 2.3.5.7
Comma list: 33075/32768, 250047/250000
Mapping: [⟨3 5 7 8], ⟨0 -6 -1 10]]
Optimal tuning (POTE): ~63/50 = 1\3, ~5/4 = 383.405
Optimal ET sequence: 3, 69, 72
Badness: 0.159160
11-limit
Subgroup: 2.3.5.7.11
Comma list: 441/440, 4125/4096, 4375/4356
Mapping: [⟨3 5 7 8 10], ⟨0 -6 -1 10 9]]
Optimal tuning (POTE): ~44/35 = 1\3, ~5/4 = 383.421
Optimal ET sequence: 3, 69, 72, 291cde, 363cdde, 435ccdde, 507bccdde
Badness: 0.052938