Octatonic comma
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Ratio | 214990848/214358881 |
Factorization | 215 × 38 × 11-8 |
Monzo | [15 8 0 0 -8⟩ |
Size in cents | 5.096468¢ |
Name | octatonic comma |
Color name | 1u82, quadbilu 2nd |
FJS name | [math]\text{AA2}_{11,11,11,11,11,11,11,11}[/math] |
Special properties | reduced |
Tenney height (log2 nd) | 55.3552 |
Weil height (log2 max(n, d)) | 55.3594 |
Wilson height (sopfr (nd)) | 142 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.50943 bits |
Comma size | small |
open this interval in xen-calc |
Octatonic comma, 214990848/214358881, is the difference between 8 12/11s and the octave. EDOs not divisible by 8 cannot temper it out.
Temperaments
Tempering it out results in the octatonic temperament. For technical data see 8th-octave temperaments#Octatonic.