61-limit: Difference between revisions

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Note completion of the 6th octave
 
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These things are contained by the 61-limit, but not the 59-limit:  
These things are contained by the 61-limit, but not the 59-limit:  
* The [[61-odd-limit|61-]], [[63-odd-limit|63-]], and [[65-odd-limit]];  
* The [[61-odd-limit|61-]], [[63-odd-limit|63-]], and [[65-odd-limit]];  
* Mode 31, 32 and 33 of the harmonic or subharmonic series.  
* Mode 31, 32 and 33 of the harmonic or subharmonic series; this means it completes the 6th octave of those series.  


== See also ==
== See also ==
* [[User:Contribution/61-limit]] – Includes a large table of 61-limit intervals
* [[User:Contribution/61-limit]] – Includes a large table of 61-limit intervals


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Latest revision as of 11:12, 19 May 2026

The 61-limit consists of just intonation intervals whose ratios contain no prime factors higher than 61. It is the 18th prime limit and is a superset of the 59-limit and a subset of the 67-limit.

These things are contained by the 61-limit, but not the 59-limit:

  • The 61-, 63-, and 65-odd-limit;
  • Mode 31, 32 and 33 of the harmonic or subharmonic series; this means it completes the 6th octave of those series.

See also


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