80-17-comma: Difference between revisions
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Created page with "'''80-17-comma''' is an interval which represents the difference between a circle of 80 17/16<nowiki/>s and 7 octaves. For EDOs upwards to the several thousands, it is tem..." |
Infobox et... and also is there a way to cut the FJS name out? |
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{{Infobox Interval | |||
| Monzo = 327 0 0 0 0 0 -80 | |||
| Name = 80-17-comma | |||
| Comma = yes | |||
}} | |||
'''80-17-comma''' is an interval which represents the difference between a circle of 80 [[17/16]]<nowiki/>s and 7 octaves. For EDOs upwards to the several thousands, it is tempered out if and only if 80 divides N. | '''80-17-comma''' is an interval which represents the difference between a circle of 80 [[17/16]]<nowiki/>s and 7 octaves. For EDOs upwards to the several thousands, it is tempered out if and only if 80 divides N. | ||
== 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]]. | ||
Revision as of 00:56, 3 December 2022
| 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.