53-limit: Difference between revisions

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 {{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}}
 [[Category:53-limit| ]] <!-- main article -->