67-limit: Difference between revisions

Created page with "{{Prime limit navigation|67}} '''67-limit''' is the 19th prime limit and is thus a superset of the 61-limit and a subset of the 71-limit. In 67-limit just intona..."
 
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{{Prime limit navigation|67}}
{{Prime limit navigation|67}}
'''67-limit''' is the 19th [[prime limit]] and is thus a superset of the [[61-limit]] and a subset of the [[71-limit]]. In 67-limit [[just intonation]], all ratios in the system will contain no primes higher than 67.
The '''67-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 67. It is the 19th [[prime limit]] and is a superset of the [[61-limit]] and a subset of the [[71-limit]].  


== See also ==
These things are contained by the 67-limit, but not the 61-limit:
* [[Harmonic limit]]
* The [[67-odd-limit|67-]] and [[69-odd-limit]];
* Mode 34 and 35 of the harmonic or subharmonic series.


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