Undecimal octatonic comma
(Redirected from 214990848/214358881)
Jump to navigation
Jump to search
| 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 |
| open this interval in xen-calc | |
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.