Lokismic 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.

Lokismic rank two temperaments temper out the loki comma, 102760448/102515625 = [21 -8 -6 2⟩ (lokisma, Sasa-bizotrigu).

Temperaments dicussed elsewhere include:

• Pajara
• Decoid
• Bischismic
• Vishnu
• Undim
• Septisuperfourth
• Bisupermajor
• Sextile
• Semiquindromeda

Septisemitonic

The septisemitonic temperament (128&142) has a half-octave period and uses a 21/20-wide semitone (septimal semitone) as a generator.

Subgroup: 2.3.5.7

Comma list: 102760448/102515625, 200120949/200000000

Mapping: [⟨2 5 0 -1], ⟨0 -13 33 47]]

POTE generator: ~21/20 = 84.446

Optimal ET sequence: 128, 142, 270

Badness: 0.166111

11-limit

Subgroup: 2.3.5.7.11

Comma list: 3025/3024, 131072/130977, 422576/421875

Mapping: [⟨2 5 0 -1 11], ⟨0 -13 33 47 -29]]

POTE generator: ~21/20 = 84.443

Optimal ET sequence: 128, 142, 270

Badness: 0.058273

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 2080/2079, 3025/3024, 4096/4095, 405769/405000

Mapping: [⟨2 5 0 -1 11 15], ⟨0 -13 33 47 -29 -54]]

POTE generator: ~21/20 = 84.440

Optimal ET sequence: 128, 142, 270

Badness: 0.037612