8281/8192
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| Ratio | 8281/8192 |
| Factorization | 2-13 × 72 × 132 |
| Monzo | [-13 0 0 2 0 2⟩ |
| Size in cents | 18.707136¢ |
| Name | diahuntmisma |
| Color name | L3oozz2, labithozo 2nd, Labithozo comma |
| FJS name | [math]\text{d2}^{7,7,13,13}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 26.0156 |
| Weil height (log2 max(n, d)) | 26.0312 |
| Wilson height (sopfr (nd)) | 66 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~3.57663 bits |
| Comma size | small |
| open this interval in xen-calc | |
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 diahuntmismic 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 diahuntmismic
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