71-limit: Difference between revisions

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Created page with "{{Prime limit navigation|71}} '''71-limit''' is the 20th prime limit and is thus a superset of the 67-limit and a subset of the 73-limit. In 71-limit just intona..."
 
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{{Prime limit navigation|71}}
{{Prime limit navigation|71}}
'''71-limit''' is the 20th [[prime limit]] and is thus a superset of the [[67-limit]] and a subset of the [[73-limit]]. In 71-limit [[just intonation]], all ratios in the system will contain no primes higher than 71.
The '''71-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 71. It is the 20th [[prime limit]] and is a superset of the [[67-limit]] and a subset of the [[73-limit]].  


== See also ==
These things are contained by the 71-limit, but not the 67-limit:
* [[Harmonic limit]]
* The [[71-odd-limit]];
* Mode 36 of the harmonic or subharmonic series.
 
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Latest revision as of 15:47, 13 March 2025

The 71-limit consists of just intonation intervals whose ratios contain no prime factors higher than 71. It is the 20th prime limit and is a superset of the 67-limit and a subset of the 73-limit.

These things are contained by the 71-limit, but not the 67-limit:

  • The 71-odd-limit;
  • Mode 36 of the harmonic or subharmonic series.
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