Undecimal octatonic comma

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Revision as of 14:24, 14 December 2023 by Eliora (talk | contribs) (Created page with "{{Infobox Interval |Ratio = 214990848/214358881 |Monzo = 15 8 0 0 -8 |Name = octatonic comma |Comma = yes }} '''Octatonic comma''', 214990848/214358881, is the difference bet...")
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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
FJS name [math]\displaystyle{ \text{AA2}_{11,11,11,11,11,11,11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 55.3552
Weil norm (log2 max(n, d)) 55.3594
Wilson norm (sopfr(nd)) 142
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.