109-7-comma

Interval information

Factorization	2-306 × 7109
Monzo	[-306 0 0 109⟩
Size in cents	2.023805¢
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]\displaystyle{ \sqrt{nd} }[/math])	~1.23724 bits
Comma size	unnoticeable
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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.