71-limit: Difference between revisions
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Created page with "{{Prime limit navigation|71}} '''71-limit''' is the 20th prime limit and is thus a superset of the 67-limit and a subset of the 73-limit. In 71-limit just intona..." |
Expand with the relation to odd limits and harmonic and subharmonic series |
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{{Prime limit navigation|71}} | {{Prime limit navigation|71}} | ||
'''71-limit''' is the 20th [[prime limit]] and is | The '''71-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 71. It is the 20th [[prime limit]] and is a superset of the [[67-limit]] and a subset of the [[73-limit]]. | ||
These things are contained by the 71-limit, but not the 67-limit: | |||
* [[ | * The [[71-odd-limit]]; | ||
* Mode 36 of the harmonic or subharmonic series. | |||
[[Category:71-limit| ]] <!-- main article --> | [[Category:71-limit| ]] <!-- main article --> | ||
Revision as of 09:35, 18 December 2024
The 71-limit consists of just intonation intervals whose ratios contain no prime factors higher than 71. It is the 20th prime limit and is a superset of the 67-limit and a subset of the 73-limit.
These things are contained by the 71-limit, but not the 67-limit:
- The 71-odd-limit;
- Mode 36 of the harmonic or subharmonic series.