Lokismic temperaments: Difference between revisions
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'''Lokismic''' rank | {{Technical data page}} | ||
'''Lokismic''' [[rank two temperaments]] temper out the [[Kalismic temperaments #Loki|loki]] comma, 102760448/102515625 = {{monzo|21 -8 -6 2}} (''lokisma'', Sasa-bizotrigu). | |||
Temperaments dicussed elsewhere include: | Temperaments dicussed elsewhere include: | ||
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[[POTE generator]]: ~21/20 = 84.446 | [[POTE generator]]: ~21/20 = 84.446 | ||
{{ | {{Optimal ET sequence|legend=1| 128, 142, 270 }} | ||
[[Badness]]: 0.166111 | [[Badness]]: 0.166111 | ||
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POTE generator: ~21/20 = 84.443 | POTE generator: ~21/20 = 84.443 | ||
{{Optimal ET sequence|legend=1| 128, 142, 270 }} | |||
Badness: 0.058273 | Badness: 0.058273 | ||
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POTE generator: ~21/20 = 84.440 | POTE generator: ~21/20 = 84.440 | ||
{{Optimal ET sequence|legend=1| 128, 142, 270 }} | |||
Badness: 0.037612 | Badness: 0.037612 | ||
[[Category:Temperament]] | [[Category:Temperament collections]] | ||
[[Category: | [[Category:Pages with mostly numerical content]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
Latest revision as of 00:26, 24 June 2025
- 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:
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