41-limit: Difference between revisions
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{{Prime limit navigation|41}} | {{Prime limit navigation|41}} | ||
The '''41-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 41. It is the 13th [[prime limit]] and is | The '''41-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 41. It is the 13th [[prime limit]] and is a superset of the [[37-limit]] and a subset of the [[43-limit]]. | ||
These things are contained by the 41-limit, but not the 37-limit: | |||
* The [[41-odd-limit]]; | |||
* Mode 21 of the harmonic or subharmonic series. | |||
[[311edo]] is notable for being the smallest edo that is [[consistent]] to the 41-odd-limit, and approximating odd harmonics up to 41 (integer harmonics up to 42) within 25r¢ (0.9646¢) of accuracy. | [[311edo]] is notable for being the smallest edo that is [[consistent]] to the 41-odd-limit, and approximating odd harmonics up to 41 (integer harmonics up to 42) within 25r¢ (0.9646¢) of accuracy. | ||
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[[Category:41-limit| ]] <!-- main article --> | [[Category:41-limit| ]] <!-- main article --> | ||
Latest revision as of 15:46, 13 March 2025
The 41-limit consists of just intonation intervals whose ratios contain no prime factors higher than 41. It is the 13th prime limit and is a superset of the 37-limit and a subset of the 43-limit.
These things are contained by the 41-limit, but not the 37-limit:
- The 41-odd-limit;
- Mode 21 of the harmonic or subharmonic series.
311edo is notable for being the smallest edo that is consistent to the 41-odd-limit, and approximating odd harmonics up to 41 (integer harmonics up to 42) within 25r¢ (0.9646¢) of accuracy.
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