53-limit: Difference between revisions
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* The [[53-odd-limit|53-]], [[55-odd-limit|55-]], and [[57-odd-limit]]; | * The [[53-odd-limit|53-]], [[55-odd-limit|55-]], and [[57-odd-limit]]; | ||
* Mode 27, 28 and 29 of the harmonic or subharmonic series. | * Mode 27, 28 and 29 of the harmonic or subharmonic series. | ||
[[Category:53-limit| ]] <!-- main article --> | [[Category:53-limit| ]] <!-- main article --> | ||
Revision as of 10:15, 18 December 2024
The 53-limit consists of just intonation intervals whose ratios contain no prime factors higher than 53. It is the 16th prime limit and is a superset of the 47-limit and a subset of the 59-limit.
These things are contained by the 53-limit, but not the 47-limit:
- The 53-, 55-, and 57-odd-limit;
- Mode 27, 28 and 29 of the harmonic or subharmonic series.