Octatonic comma

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Interval information
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.