83-limit: Difference between revisions
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Created page with "{{Prime limit navigation|83}} '''83-limit''' is the 20th prime limit and is thus a superset of the 79-limit and a subset of the 89-limit. In 83-limit just intona..." |
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{{Prime limit navigation|83}} | {{Prime limit navigation|83}} | ||
'''83-limit''' is the | The '''83-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 83. It is the 23rd [[prime limit]] and is a superset of the [[79-limit]] and a subset of the [[89-limit]]. | ||
These things are contained by the 83-limit, but not the 79-limit: | |||
* [[ | * The [[83-odd-limit|83-]], [[85-odd-limit|85-]], and [[87-odd-limit]]; | ||
* Mode 42, 43 and 44 of the harmonic or subharmonic series. | |||
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[[Category:83-limit| ]] <!-- main article --> | [[Category:83-limit| ]] <!-- main article --> | ||
Latest revision as of 15:49, 13 March 2025
The 83-limit consists of just intonation intervals whose ratios contain no prime factors higher than 83. It is the 23rd prime limit and is a superset of the 79-limit and a subset of the 89-limit.
These things are contained by the 83-limit, but not the 79-limit:
- The 83-, 85-, and 87-odd-limit;
- Mode 42, 43 and 44 of the harmonic or subharmonic series.
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