47-limit: Difference between revisions
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{{Prime limit navigation|47}} | {{Prime limit navigation|47}} | ||
'''47-limit''' 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) | ||
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[[Category:47-limit| ]] <!-- main article --> | [[Category:47-limit| ]] <!-- main article --> | ||
Latest revision as of 15:46, 13 March 2025
The 47-limit consists of just intonation intervals whose ratios contain no prime factors higher than 47. It is the 15th prime limit and is a superset of the 43-limit and a subset of the 53-limit.
These things are contained by the 47-limit, but not the 43-limit:
- The 47-, 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
- End Permian: The Great Dying (2022)
- End Cretaceous - Begin Paleocene (2022)
- End Anthropocene: A Once Beautiful Creation (2022)
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