Mirwomo temperaments: Difference between revisions

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These are rank-2 temperaments that temper out the [[mirwomo comma]], 33075/32768 = {{monzo| -15 3 2 2 }}. For the rank-3 temperament, see [[Mirwomo family]].  
{{Technical data page}}
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 include [[Diaschismic family|anguirus]], [[Keegic temperaments|aurora]], [[Dicot family|dichotic]], [[Compton family|hours]], [[Gamelismic clan|miracle]], [[Meantone family|mohajira]], [[Tetracot family|monkey]], [[Sensamagic clan|salsa]], [[Orwellismic temperaments|sentinel]], [[Würschmidt family|worschmidt]], and [[Gravity family|zarvo]].
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]]: [{{val| 3 5 7 8 }}, {{val| 0 -6 -1 10 }}]
{{Mapping|legend=1| 3 5 7 8 | 0 -6 -1 10 }}


[[POTE generator]]: ~5/4 = 383.405
[[Optimal tuning]] ([[POTE]]): ~63/50 = 1\3, ~5/4 = 383.405


{{Val list|legend=1| 3, 69, 72 }}
{{Optimal ET sequence|legend=1| 3, 69, 72 }}


[[Badness]]: 0.159160
[[Badness]]: 0.159160
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Comma list: 441/440, 4125/4096, 4375/4356
Comma list: 441/440, 4125/4096, 4375/4356


Mapping: [{{val| 3 5 7 8 10 }}, {{val| 0 -6 -1 10 9 }}]
Mapping: {{mapping| 3 5 7 8 10 | 0 -6 -1 10 9 }}


POTE generator: ~5/4 = 383.421
Optimal tuning (POTE): ~44/35 = 1\3, ~5/4 = 383.421


Optimal GPV sequence: {{Val list| 3, 69, 72, 291cde, 363cdde, 435ccdde, 507bccdde }}
{{Optimal ET sequence|legend=1| 3, 69, 72, 291cde, 363cdde, 435ccdde, 507bccdde }}


Badness: 0.052938
Badness: 0.052938


[[Category:Temperament collection]]
[[Category:Temperament collections]]
[[Category:Mirwomo]]
[[Category:Pages with mostly numerical content]]
[[Category:Mirwomo temperaments| ]] <!-- main article -->
[[Category:Mirwomo| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Rank 2]]