61-limit: Difference between revisions

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In 31-limit [[Just intonation|Just Intonation]], all ratios in the system will contain no primes higher than 31.
{{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.  
 
== See also ==
* [[User:Contribution/61-limit]] – Includes a large table of 61-limit intervals
 
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[[Category:61-limit| ]] <!-- main article -->

Latest revision as of 15:46, 13 March 2025

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:

See also

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