Mirwomo temperaments

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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 -1 6 18], 0 6 1 -10]]

mapping generators: ~63/50, ~5/4

Optimal tunings:

  • WE: ~63/50 = 400.2698 ¢, ~5/4 = 383.6637 ¢
error map: +0.809 -0.242 -1.031 -0.607]
  • CWE: ~63/50 = 400.0000 ¢, ~5/4 = 383.4090 ¢
error map: 0.000 -1.501 -2.905 -2.916]

Optimal ET sequence3, 69, 72, 363cdd, 435ccdd, …, 651bcccddd

Badness (Sintel): 4.03

11-limit

Subgroup: 2.3.5.7.11

Comma list: 441/440, 4125/4096, 4375/4356

Mapping: [3 -1 6 18 19], 0 6 1 -10 -9]]

Optimal tunings:

  • WE: ~44/35 = 400.2557 ¢, ~5/4 = 383.6664 ¢
  • CWE: ~44/35 = 400.0000 ¢, ~5/4 = 383.4138 ¢

Optimal ET sequence: 3, 69, 72, 291cde, 363cdde, …, 579bccddee

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 -1 6 18 19 13], 0 6 1 -10 -9 -2]]

Optimal tunings:

  • WE: ~44/35 = 400.3228 ¢, ~5/4 = 383.7260 ¢
  • CWE: ~44/35 = 400.0000 ¢, ~5/4 = 383.4063 ¢

Optimal ET sequence: 3, 69, 72

Badness (Sintel): 1.60