80-17-comma: Difference between revisions
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== Theory == | == 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]]. | 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]]. | ||
Revision as of 02:25, 27 May 2023
| Interval information |
reduced subharmonic
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.