53-limit: Difference between revisions

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{{Prime limit navigation|53}}
{{Prime limit navigation|53}}
'''53-limit''' is the 16th [[prime limit]] and is thus a superset of the [[47-limit]] and a subset of the [[59-limit]]. In 53-limit [[just intonation]], all ratios in the system will contain no primes higher than 53.
The '''53-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 53. It is the 16th [[prime limit]] and is a superset of the [[47-limit]] and a subset of the [[59-limit]].  


== See also ==
These things are contained by the 53-limit, but not the 47-limit:
* [[Harmonic 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.
 
== Music ==
; [[benyamind]]
* [https://www.youtube.com/watch?v=cU0KLju_sLM ''Devotion''] (2025)
 
{{stub}}


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Latest revision as of 11:28, 15 April 2025

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:

Music

benyamind
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