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]].

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]].

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

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

[[POTE ~~generator~~]]: ~5/4 = 383.405

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

[[Badness]]: 0.159160

== 11-limit ==

=== 11-limit ===

Subgroup: 2.3.5.7.11

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

~~Vals:~~ {{~~Val list~~| 3, 69, 72, 291cde, 363cdde, 435ccdde, 507bccdde }}

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

Badness: 0.052938

[[Category:Temperament]]

[[Category:Temperament collections]]

[[Category:Mirwomo]]

[[Category:Pages with mostly numerical content]]

[[Category:Rank-2]]

[[Category:Mirwomo temperaments| ]]

[[Category:Mirwomo| ]]

[[Category:Rank 2]]

@@ Line 1: / Line 1: @@
-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 not dicussed here include [[Diaschismic family|anguirus]], [[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
-[[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
-== 11-limit ==
+=== 11-limit ===
 Subgroup: 2.3.5.7.11
 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
-Vals: {{Val list| 3, 69, 72, 291cde, 363cdde, 435ccdde, 507bccdde }}
+{{Optimal ET sequence|legend=1| 3, 69, 72, 291cde, 363cdde, 435ccdde, 507bccdde }}
 Badness: 0.052938
-[[Category:Temperament]]
+[[Category:Temperament collections]]
-[[Category:Mirwomo]]
+[[Category:Pages with mostly numerical content]]
-[[Category:Rank-2]]
+[[Category:Mirwomo temperaments| ]] <!-- main article -->
+[[Category:Mirwomo| ]] <!-- key article -->
+[[Category:Rank 2]]