53-limit: Difference between revisions
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Created page with "{{Prime limit navigation|53}} '''53-limit''' is the 16th prime limit and is thus a superset of the 53-limit and a subset of the 53-limit. In 53-limit just intona..." |
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{{Prime limit navigation|53}} | {{Prime limit navigation|53}} | ||
'''53-limit''' is the 16th [[prime limit]] and is | The '''53-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 53. It is the 16th [[prime limit]] and is a superset of the [[47-limit]] and a subset of the [[59-limit]]. | ||
== | These things are contained by the 53-limit, but not the 47-limit: | ||
* The [[53-odd-limit|53-]], [[55-odd-limit|55-]], and [[57-odd-limit]]; | |||
* Mode 27, 28 and 29 of the harmonic or subharmonic series. | |||
== Music == | |||
; [[benyamind]] | |||
* [https://www.youtube.com/watch?v=cU0KLju_sLM ''Devotion''] (2025) | |||
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[[Category:53-limit| ]] <!-- main article --> | [[Category:53-limit| ]] <!-- main article --> | ||
Latest revision as of 11:28, 15 April 2025
The 53-limit consists of just intonation intervals whose ratios contain no prime factors higher than 53. It is the 16th prime limit and is a superset of the 47-limit and a subset of the 59-limit.
These things are contained by the 53-limit, but not the 47-limit:
- The 53-, 55-, and 57-odd-limit;
- Mode 27, 28 and 29 of the harmonic or subharmonic series.
Music
- Devotion (2025)
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