109-7-comma
Jump to navigation
Jump to search
| Factorization | 2-306 × 7109 |
| Monzo | [-306 0 0 109⟩ |
| Size in cents | 2.0238051¢ |
| Name | 109-7-comma |
| Color name | L16z10939 |
| Special properties | reduced, reduced harmonic |
| Tenney height (log2 nd) | 612.002 |
| Weil height (log2 max(n, d)) | 612.003 |
| Wilson height (sopfr (nd)) | 1375 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.23724 bits |
| Comma size | unnoticeable |
| open this interval in xen-calc | |
109-7-comma is the interval which represents a closed circle of 109 7th harmonics with 306 octaves, or alternately, 109 7/4 septimal minor sevenths with the octave. It is notable because of 109edo being a denominator to semiconvergent for log27.
Temperaments
Tempering it out maps 7/4 into 88\109, that is 88 steps of 109edo. Aside from 109edo, it is tempered out by high-limit systems such as 436edo and 981edo.