80-17-comma: Difference between revisions
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| Monzo = 327 0 0 0 0 0 -80 | | Monzo = 327 0 0 0 0 0 -80 | ||
| Name = 80-17-comma | | Name = 80-17-comma | ||
| Color name = s<sup>11</sup>17u<sup>80</sup>-32, lesa-quinquadquadsu negative 32nd | |||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
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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]], and [[4320edo]]. | 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]]. | ||
[[Category:Commas named systematically]] | |||
Latest revision as of 06:13, 3 November 2024
| 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.