Septimal octatonic comma
Jump to navigation
Jump to search
| Ratio | 2251875390625/2199023255552 |
| Factorization | 2-41 × 58 × 78 |
| Monzo | [-41 0 8 8⟩ |
| Size in cents | 41.116963¢ |
| Name | septimal octatonic comma |
| Color name | lala-quadbizoyo 2nd, LLz8y82 |
| FJS name | [math]\text{AA2}^{5,5,5,5,5,5,5,5,7,7,7,7,7,7,7,7}[/math] |
| Special properties | reduced, reduced harmonic |
| Tenney height (log2 nd) | 82.0343 |
| Weil height (log2 max(n, d)) | 82.0685 |
| Wilson height (sopfr (nd)) | 178 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.5165 bits |
| Comma size | medium |
| open this interval in xen-calc | |
The septimal octatonic comma, 2251875390625/2199023255552, is the difference between 8 35/32s and the octave. Since 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 7-limit version of the octatonic temperament. For technical data see 8th-octave temperaments#Octatonic.