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 | 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]]. | ||
These things are contained by the 37-limit, but not the 31-limit: | |||
* The [[37-odd-limit|37-]] and [[39-odd-limit]]; | |||
* | * Mode 19 and 20 of the harmonic or subharmonic series. | ||
{{Stub}} | |||
[[Category:37-limit| ]] | [[Category:37-limit| ]] | ||
Latest revision as of 20:45, 11 January 2026
The 37-limit consists of just intonation intervals whose ratios contain no prime factors higher than 37. It is the 12th prime limit and is a superset of the 31-limit and a subset of the 41-limit.
These things are contained by the 37-limit, but not the 31-limit:
- The 37- and 39-odd-limit;
- Mode 19 and 20 of the harmonic or subharmonic series.
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