43-limit: Difference between revisions

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{{Prime limit navigation|43}}
{{Prime limit navigation|43}}
The '''43-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 43. It is the 14th [[prime limit]] and is thus a superset of the [[41-limit]] and a subset of the [[47-limit]].  
The '''43-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 43. It is the 14th [[prime limit]] and is a superset of the [[41-limit]] and a subset of the [[47-limit]].  


These things are contained by the 43-limit, but not the 41-limit:  
These things are contained by the 43-limit, but not the 41-limit:  

Revision as of 15:47, 17 December 2024

The 43-limit consists of just intonation intervals whose ratios contain no prime factors higher than 43. It is the 14th prime limit and is a superset of the 41-limit and a subset of the 47-limit.

These things are contained by the 43-limit, but not the 41-limit:

  • The 43- and 45-odd-limit;
  • Mode 22 and 23 of the harmonic or subharmonic series.