8281/8192: Difference between revisions
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Created page with "{{Infobox Interval | Name = diahuntmisma | Color name = L3oozz2, <br>labithozo 2nd, <br>Labithozo comma | Comma = yes }} '''8281/8192''', the '''diahuntmisma''' is a 13-lim..." |
systematic name |
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== Temperaments == | == Temperaments == | ||
Tempering out this comma leads to the ''' | Tempering out this comma leads to the '''diahuntmic temperament''', which splits the octave into two equal parts, each representing 91/64 (large huntmic tritone) and its octave complement, [[128/91]] (small huntmic tritone). Odd-numbered EDOs cannot temper it out. | ||
=== 2.7.13 | === 2.7.13 diahuntmic === | ||
Subgroup: 2.7.13 | Subgroup: 2.7.13 | ||
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Optimal tuning (POTE): ~91/64 = 1＼2, ~8/7 = 235.0003 | Optimal tuning (POTE): ~91/64 = 1＼2, ~8/7 = 235.0003 | ||
Optimal ET sequence: {{Optimal ET sequence|10, 26, 36, 46}} | |||
Badness: 0.001183 | |||
== See also == | == See also == | ||
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[[Category:Diahuntmismic]] | [[Category:Diahuntmismic]] | ||
[[Category:Commas with unknown etymology]] | |||
Latest revision as of 02:47, 1 February 2026
| Interval information |
labithozo 2nd,
Labithozo comma
reduced harmonic
8281/8192, the diahuntmisma is a 13-limit interval measuring about 18.7¢. It forms the difference between two 91/64s and an octave.
Temperaments
Tempering out this comma leads to the diahuntmic temperament, which splits the octave into two equal parts, each representing 91/64 (large huntmic tritone) and its octave complement, 128/91 (small huntmic tritone). Odd-numbered EDOs cannot temper it out.
2.7.13 diahuntmic
Subgroup: 2.7.13
Comma list: 8281/8192
Mapping: [⟨2 0 13], ⟨0 1 -1]]
- Mapping generators: ~91/64, ~7
Optimal tuning (POTE): ~91/64 = 1＼2, ~8/7 = 235.0003
Optimal ET sequence: 10, 26, 36, 46
Badness: 0.001183