43-limit: Difference between revisions
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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 thus 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: | |||
* [[43-odd-limit]] | * The [[43-odd-limit|43-]] and [[45-odd-limit]]; | ||
* Mode 22 and 23 of the harmonic or subharmonic series. | |||
[[Category:43-limit| ]] <!-- main article --> | [[Category:43-limit| ]] <!-- main article --> | ||
Revision as of 15:45, 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 thus 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.