Undecimal octatonic comma

Interval information

Ratio	214990848/214358881
Factorization	215 × 38 × 11-8
Monzo	[15 8 0 0 -8⟩
Size in cents	5.096468¢
Name	undecimal 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{nd}[/math])	~1.4392 bits
Comma size	small
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The undecimal octatonic comma, 214990848/214358881, is the amount by which a stack of eight 12/11 intervals exceeds the octave. Since it equates eight of one interval with an octave, it is tempered out if and only if the number of notes in the octave is a multiple of 8.

Temperaments

Tempering it out results in the octatonic temperament. For technical data see 8th-octave temperaments#Octatonic.