59-limit: Difference between revisions
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Created page with "{{Prime limit navigation|59}} '''59-limit''' is the 17th prime limit and is thus a superset of the 53-limit and a subset of the 61-limit. In 59-limit just intona..." |
Expand with the relation to odd limits and harmonic and subharmonic series |
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{{Prime limit navigation|59}} | {{Prime limit navigation|59}} | ||
'''59-limit''' is the 17th [[prime limit]] and is | The '''59-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 59. It is the 17th [[prime limit]] and is a superset of the [[53-limit]] and a subset of the [[61-limit]]. | ||
These things are contained by the 59-limit, but not the 53-limit: | |||
* The [[59-odd-limit]]; | |||
* Mode 30 of the harmonic or subharmonic series. | |||
== See also == | == See also == | ||
Revision as of 09:32, 18 December 2024
The 59-limit consists of just intonation intervals whose ratios contain no prime factors higher than 59. It is the 17th prime limit and is a superset of the 53-limit and a subset of the 61-limit.
These things are contained by the 59-limit, but not the 53-limit:
- The 59-odd-limit;
- Mode 30 of the harmonic or subharmonic series.