Mirwomo temperaments: Difference between revisions
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{{Technical data page}} | {{Technical data page}} | ||
This is a collection of [[rank-2 temperament|rank-2]] [[regular temperament|temperaments]] [[tempering out]] the [[mirwomo comma]], ({{monzo|legend=1| -15 3 2 2 }}, [[ratio]]: 33075/32768). For the rank-3 temperament, see [[Mirwomo | This is a collection of [[rank-2 temperament|rank-2]] [[regular temperament|temperaments]] [[tempering out]] the [[mirwomo comma]], ({{monzo|legend=1| -15 3 2 2 }}, [[ratio]]: 33075/32768). For the rank-3 temperament, see [[Rastmic rank-3 clan #Mirwomo]]. | ||
Temperaments dicussed elsewhere are: | Temperaments dicussed elsewhere are: | ||
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* ''[[Worschmidt]]'' (+126/125) → [[Würschmidt family #Worschmidt|Würschmidt family]] | * ''[[Worschmidt]]'' (+126/125) → [[Würschmidt family #Worschmidt|Würschmidt family]] | ||
* ''[[Aurora]]'' (+1029/1000) → [[Keegic temperaments #Aurora|Keegic temperaments]] | * ''[[Aurora]]'' (+1029/1000) → [[Keegic temperaments #Aurora|Keegic temperaments]] | ||
* | * [[Whitewood]] (+36/35) → [[Whitewood family #Septimal whitewood|Whitewood family]] | ||
* ''[[Hours]]'' (+19683/19600) → [[Compton family #Hours|Compton family]] | * ''[[Hours]]'' (+19683/19600) → [[Compton family #Hours|Compton family]] | ||
Revision as of 05:43, 1 May 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.
This is a collection of rank-2 temperaments tempering out the mirwomo comma, (monzo: [-15 3 2 2⟩, ratio: 33075/32768). For the rank-3 temperament, see Rastmic rank-3 clan #Mirwomo.
Temperaments dicussed elsewhere are:
- Dichotic (+25/24) → Dicot family
- Mohajira (+6144/6125) → Meantone family
- Salsa (+245/243) → Schismatic family
- Anguirus (+49/48) → Diaschismic family
- Monkey (+875/864) → Tetracot family
- Sentinel (+1728/1715) → Orwellismic temperaments
- Miracle (+225/224) → Gamelismic clan
- Zarvo (+4375/4374) → Gravity family
- Worschmidt (+126/125) → Würschmidt family
- Aurora (+1029/1000) → Keegic temperaments
- Whitewood (+36/35) → Whitewood family
- Hours (+19683/19600) → Compton family
Considered below is caleb.
Caleb
Subgroup: 2.3.5.7
Comma list: 33075/32768, 250047/250000
Mapping: [⟨3 5 7 8], ⟨0 -6 -1 10]]
- mapping generators: ~63/50, ~126/125
Optimal ET sequence: 3, 69, 72
Badness (Sintel): 4.03
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 tunings:
- CTE: ~44/35 = 400.000 ¢, ~5/4 = 383.377 ¢
- CWE: ~44/35 = 400.000 ¢, ~5/4 = 383.414 ¢
Optimal ET sequence: 3, 69, 72, 291cde, 363cdde, 435ccdde, 507bccdde
Badness (Sintel): 1.75
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 169/168, 364/363, 441/440, 625/624
Mapping: [⟨3 5 7 8 10 11], ⟨0 -6 -1 10 9 2]]
Optimal tunings:
- CTE: ~44/35 = 400.000 ¢, ~5/4 = 383.346 ¢
- CWE: ~44/35 = 400.000 ¢, ~5/4 = 383.406 ¢
Optimal ET sequence: 3, 69, 72
Badness (Sintel): 1.60