61-limit: Difference between revisions

Latest revision as of 15:46, 13 March 2025

Prime limit

The 61-limit consists of just intonation intervals whose ratios contain no prime factors higher than 61. It is the 18th prime limit and is a superset of the 59-limit and a subset of the 67-limit.

These things are contained by the 61-limit, but not the 59-limit:

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-In 61-limit [[Just intonation|Just Intonation]], all ratios in the system will contain no primes higher than 61.
+{{Prime limit navigation|61}}
+The '''61-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 61. It is the 18th [[prime limit]] and is a superset of the [[59-limit]] and a subset of the [[67-limit]].
-== Intervals ==
+These things are contained by the 61-limit, but not the 59-limit:
-{| class="wikitable"
+* The [[61-odd-limit|61-]], [[63-odd-limit|63-]], and [[65-odd-limit]];
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+* Mode 31, 32 and 33 of the harmonic or subharmonic series.
-!Limit
-!Ratio
+== See also ==
-!FJS name
+* [[User:Contribution/61-limit]] – Includes a large table of 61-limit intervals
-!Cents Value
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+{{stub}}
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+[[Category:61-limit| ]] <!-- main article -->
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