31-limit: Difference between revisions

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{{Prime limit navigation|31}}
{{Prime limit navigation|31}}
'''31-limit''' is the 11th [[prime limit]] and is thus a superset of the [[29-limit]] and a subset of the [[37-limit]]. In 31-limit [[just intonation]], all ratios in the system will contain no primes higher than 31.
The '''31-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 31. It is the 11th [[prime limit]] and is thus a superset of the [[29-limit]] and a subset of the [[37-limit]].  


== Music ==
== Music ==
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== See also ==
== See also ==
* [[Harmonic limit]]
* [[31-odd-limit]]
* [[No-twos 31-limit]]
* [[No-twos 31-limit]]


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Revision as of 10:40, 7 January 2024

The 31-limit consists of just intonation intervals whose ratios contain no prime factors higher than 31. It is the 11th prime limit and is thus a superset of the 29-limit and a subset of the 37-limit.

Music

Randy Wells

See also