Mirwomo temperaments: Difference between revisions
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{{Technical data page}} | {{Technical data page}} | ||
This is a collection of [[ | 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]]. | ||
Considered below is caleb. Temperaments dicussed elsewhere are: | Considered below is caleb. Temperaments dicussed elsewhere are: | ||
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{{Mapping|legend=1| 3 5 7 8 | 0 -6 -1 10 }} | {{Mapping|legend=1| 3 5 7 8 | 0 -6 -1 10 }} | ||
: | : mapping generators: ~63/50, ~126/125 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~63/50 = 400. | * [[CTE]]: ~63/50 = 400.000{{c}}, ~5/4 = 383.425{{c}} | ||
* [[CWE]]: ~63/50 = 400. | * [[CWE]]: ~63/50 = 400.000{{c}}, ~5/4 = 383.409{{c}} | ||
{{Optimal ET sequence|legend=1| 3, 69, 72 }} | {{Optimal ET sequence|legend=1| 3, 69, 72 }} | ||
[[Badness]] (Sintel): 4. | [[Badness]] (Sintel): 4.03 | ||
=== 11-limit === | === 11-limit === | ||
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Optimal tunings: | Optimal tunings: | ||
* CTE: ~44/35 = 400. | * CTE: ~44/35 = 400.000{{c}}, ~5/4 = 383.377{{c}} | ||
* CWE: ~44/35 = 400. | * CWE: ~44/35 = 400.000{{c}}, ~5/4 = 383.414{{c}} | ||
{{Optimal ET sequence|legend=0| 3, 69, 72, 291cde, 363cdde, 435ccdde, 507bccdde }} | {{Optimal ET sequence|legend=0| 3, 69, 72, 291cde, 363cdde, 435ccdde, 507bccdde }} | ||
Badness (Sintel): 1. | Badness (Sintel): 1.75 | ||
=== 13-limit === | === 13-limit === | ||
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Optimal tunings: | Optimal tunings: | ||
* CTE: ~44/35 = 400. | * CTE: ~44/35 = 400.000{{c}}, ~5/4 = 383.346{{c}} | ||
* CWE: ~44/35 = 400. | * CWE: ~44/35 = 400.000{{c}}, ~5/4 = 383.406{{c}} | ||
{{Optimal ET sequence|legend=0| 3, 69, 72 }} | {{Optimal ET sequence|legend=0| 3, 69, 72 }} | ||
Badness (Sintel): 1. | Badness (Sintel): 1.60 | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Mirwomo temperaments| ]] <!-- main article --> | [[Category:Mirwomo temperaments| ]] <!-- main article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
Revision as of 05:36, 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 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) → Schismatic family
- 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]]
- 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