67-limit: Difference between revisions

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Expand with the relation to odd limits and harmonic and subharmonic series
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* The [[67-odd-limit|67-]] and [[69-odd-limit]];  
* The [[67-odd-limit|67-]] and [[69-odd-limit]];  
* Mode 34 and 35 of the harmonic or subharmonic series.  
* Mode 34 and 35 of the harmonic or subharmonic series.  
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[[Category:67-limit| ]] <!-- main article -->

Latest revision as of 15:47, 13 March 2025

The 67-limit consists of just intonation intervals whose ratios contain no prime factors higher than 67. It is the 19th prime limit and is a superset of the 61-limit and a subset of the 71-limit.

These things are contained by the 67-limit, but not the 61-limit:

  • The 67- and 69-odd-limit;
  • Mode 34 and 35 of the harmonic or subharmonic series.
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