59-limit: Difference between revisions

Created page with "{{Prime limit navigation|59}} '''59-limit''' is the 17th prime limit and is thus a superset of the 53-limit and a subset of the 61-limit. In 59-limit just intona..."
 
Expand with the relation to odd limits and harmonic and subharmonic series
Line 1: Line 1:
{{Prime limit navigation|59}}
{{Prime limit navigation|59}}
'''59-limit''' is the 17th [[prime limit]] and is thus a superset of the [[53-limit]] and a subset of the [[61-limit]]. In 59-limit [[just intonation]], all ratios in the system will contain no primes higher than 59.
The '''59-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 59. It is the 17th [[prime limit]] and is a superset of the [[53-limit]] and a subset of the [[61-limit]].  
 
These things are contained by the 59-limit, but not the 53-limit:
* The [[59-odd-limit]];
* Mode 30 of the harmonic or subharmonic series.  


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