67-limit: Difference between revisions
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Created page with "{{Prime limit navigation|67}} '''67-limit''' is the 19th prime limit and is thus a superset of the 61-limit and a subset of the 71-limit. In 67-limit just intona..." |
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{{Prime limit navigation|67}} | {{Prime limit navigation|67}} | ||
'''67-limit''' is the 19th [[prime limit]] and is | The '''67-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 67. It is the 19th [[prime limit]] and is a superset of the [[61-limit]] and a subset of the [[71-limit]]. | ||
These things are contained by the 67-limit, but not the 61-limit: | |||
* [[ | * The [[67-odd-limit|67-]] and [[69-odd-limit]]; | ||
* Mode 34 and 35 of the harmonic or subharmonic series. | |||
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[[Category:67-limit| ]] <!-- main article --> | [[Category:67-limit| ]] <!-- main article --> | ||
Latest revision as of 15:47, 13 March 2025
The 67-limit consists of just intonation intervals whose ratios contain no prime factors higher than 67. It is the 19th prime limit and is a superset of the 61-limit and a subset of the 71-limit.
These things are contained by the 67-limit, but not the 61-limit:
- The 67- and 69-odd-limit;
- Mode 34 and 35 of the harmonic or subharmonic series.
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