73-limit: Difference between revisions
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The '''73-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 73. It is the 21st [[prime limit]] and is a superset of the [[71-limit]] and a subset of the [[79-limit]]. | The '''73-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 73. It is the 21st [[prime limit]] and is a superset of the [[71-limit]] and a subset of the [[79-limit]]. | ||
These things are contained by the | These things are contained by the 73-limit, but not the 71-limit: | ||
* The [[73-odd-limit|73-]], [[75-odd-limit|75-]], and [[77-odd-limit]]; | * The [[73-odd-limit|73-]], [[75-odd-limit|75-]], and [[77-odd-limit]]; | ||
* Mode 37, 38 and 39 of the harmonic or subharmonic series. | * Mode 37, 38 and 39 of the harmonic or subharmonic series. | ||
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[[Category:73-limit| ]] <!-- main article --> | [[Category:73-limit| ]] <!-- main article --> | ||
Latest revision as of 15:47, 13 March 2025
The 73-limit consists of just intonation intervals whose ratios contain no prime factors higher than 73. It is the 21st prime limit and is a superset of the 71-limit and a subset of the 79-limit.
These things are contained by the 73-limit, but not the 71-limit:
- The 73-, 75-, and 77-odd-limit;
- Mode 37, 38 and 39 of the harmonic or subharmonic series.
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