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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
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.45288 bits
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.


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.