61-limit: Difference between revisions
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Note completion of the 6th octave |
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{{Prime limit navigation|61}} | {{Prime limit navigation|61}} | ||
The '''61-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 61. It is the 18th [[prime limit]] and is a superset of the [[59-limit]] and a subset of the [[67-limit]]. | |||
These things are contained by the 61-limit, but not the 59-limit: | |||
* The [[61-odd-limit|61-]], [[63-odd-limit|63-]], and [[65-odd-limit]]; | |||
* Mode 31, 32 and 33 of the harmonic or subharmonic series; this means it completes the 6th octave of those series. | |||
== See also == | == See also == | ||
* [[User:Contribution/61-limit]] | * [[User:Contribution/61-limit]] – Includes a large table of 61-limit intervals | ||
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[[Category:61-limit| ]] <!-- main article --> | [[Category:61-limit| ]] <!-- main article --> | ||
Latest revision as of 11:12, 19 May 2026
The 61-limit consists of just intonation intervals whose ratios contain no prime factors higher than 61. It is the 18th prime limit and is a superset of the 59-limit and a subset of the 67-limit.
These things are contained by the 61-limit, but not the 59-limit:
- The 61-, 63-, and 65-odd-limit;
- Mode 31, 32 and 33 of the harmonic or subharmonic series; this means it completes the 6th octave of those series.
See also
- User:Contribution/61-limit – Includes a large table of 61-limit intervals
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