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Interval information
Factorization 2-306 × 7109
Monzo [-306 0 0 109
Size in cents 2.0238051¢
Name 109-7-comma
Color name L16z10939
Special properties reduced
Tenney height (log2 nd) 612.002
Weil height (log2 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 log27.


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.