80-17-comma
Jump to navigation
Jump to search
| 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.
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.