109-7-comma
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Factorization | 2^{-306} × 7^{109} |
Monzo | [-306 0 0 109⟩ |
Size in cents | 2.0238051¢ |
Name | 109-7-comma |
Color name | L^{16}z^{109}39 |
Special properties | reduced |
Tenney height (log_{2} nd) | 612.002 |
Weil height (log_{2} max(n, d)) | 612.003 |
Wilson height (sopfr (nd)) | 1375 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.41621 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 log_{2}7.
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.