53-limit: Difference between revisions

Fixed typos
Expand with the relation to odd limits and harmonic and subharmonic series
Line 1: Line 1:
{{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]].  
 
These things are contained by the 53-limit, but not the 47-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.  


== See also ==
== See also ==