47-limit: Difference between revisions
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{{Prime limit navigation|47}} | {{Prime limit navigation|47}} | ||
The '''47-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 47. It is the 15th [[prime limit]] and is | The '''47-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 47. It is the 15th [[prime limit]] and is a superset of the [[43-limit]] and a subset of the [[53-limit]]. | ||
It is the highest prime limit that can be represented with [[ | These things are contained by the 47-limit, but not the 43-limit: | ||
* The [[47-odd-limit|47-]], [[49-odd-limit|49-]], and [[51-odd-limit]]; | |||
* Mode 24, 25 and 26 of the harmonic or subharmonic series. | |||
It is the highest prime limit that can be represented with [[Helmholtz–Ellis notation]]. | |||
== Music == | == Music == | ||
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* [https://www.youtube.com/watch?v=sjTV6FWouXs ''End Anthropocene: A Once Beautiful Creation''] (2022) | * [https://www.youtube.com/watch?v=sjTV6FWouXs ''End Anthropocene: A Once Beautiful Creation''] (2022) | ||
{{stub}} | |||
[[Category:47-limit| ]] <!-- main article --> | [[Category:47-limit| ]] <!-- main article --> | ||