Mirwomo temperaments

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, 33075/32768 = [-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
• 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 tunings:

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

Optimal ET sequence: 3, 69, 72

Badness (Sintel): 4.028

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): 1.750

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): 1.602