80-17-comma

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Interval information
Subgroup monzo 2.17 [327 -80
Size in cents 3.56724¢
Name 80-17-comma
Color name s1117u80-32, lesa-quinquadquadsu negative 32nd
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 653.997
Weil height (log2 max(n, d)) 654
Wilson height (sopfr(nd)) 2014
Comma size small
Open this interval in xen-calc

80-17-comma is an interval which represents the difference between a circle of 80 17/16s and 7 octaves. For EDOs upwards to the several thousands, it is tempered out if and only if 80 divides N.

Theory

80-17-comma serves as an identity in the rank-two temperaments octogintic and mercury, where it maps 17/16 to 7 periods. Other notable temperaments tempering it out are 5040edo, which is a highly composite edo, and 4320edo.