37-limit: Difference between revisions

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{{Prime limit navigation|37}}
{{Prime limit navigation|37}}
'''37-limit''' is the 12th [[prime limit]] and is thus a superset of the [[31-limit]] and a subset of the [[41-limit]]. In 37-limit [[just intonation]], all ratios in the system will contain no primes higher than 37.
The '''37-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 37. It is the 12th [[prime limit]] and is a superset of the [[31-limit]] and a subset of the [[41-limit]].  


== See also ==
These things are contained by the 37-limit, but not the 31-limit:
* [[Harmonic limit]]
* The [[37-odd-limit|37-]] and [[39-odd-limit]];
* Mode 19 and 20 of the harmonic or subharmonic series.


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