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 family]].  
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]]
* [[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:

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 tunings:

  • CTE: ~63/50 = 400.000 ¢, ~5/4 = 383.425 ¢
  • CWE: ~63/50 = 400.000 ¢, ~5/4 = 383.409 ¢

Optimal ET sequence3, 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