53-limit: Difference between revisions
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{{Prime limit navigation|53}} | {{Prime limit navigation|53}} | ||
'''53-limit''' is the 16th [[prime limit]] and is | The '''53-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 53. It is the 16th [[prime limit]] and is a superset of the [[47-limit]] and a subset of the [[59-limit]]. | ||
These things are contained by the 53-limit, but not the 47-limit: | |||
* The [[53-odd-limit|53-]], [[55-odd-limit|55-]], and [[57-odd-limit]]; | |||
* Mode 27, 28 and 29 of the harmonic or subharmonic series. | |||
== See also == | == See also == | ||
Revision as of 09:31, 18 December 2024
The 53-limit consists of just intonation intervals whose ratios contain no prime factors higher than 53. It is the 16th prime limit and is a superset of the 47-limit and a subset of the 59-limit.
These things are contained by the 53-limit, but not the 47-limit:
- The 53-, 55-, and 57-odd-limit;
- Mode 27, 28 and 29 of the harmonic or subharmonic series.