47-limit: Difference between revisions

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{{Prime limit navigation|47}}
{{Prime limit navigation|47}}
'''47-limit''' is the 15th [[prime limit]] and is thus a superset of the [[43-limit]] and a subset of the [[53-limit]]. In 47-limit [[just intonation]], all ratios in the system will contain no primes higher than 47.
'''47-limit''' is the 15th [[prime limit]] and is thus a superset of the [[43-limit]] and a subset of the [[53-limit]]. In 47-limit [[just intonation]], all ratios in the system will contain no primes higher than 47.
It is the highest prime limit that can be represented with [[Helmholtz-Ellis notation]].


== See also ==
== See also ==

Revision as of 04:58, 31 December 2022

47-limit is the 15th prime limit and is thus a superset of the 43-limit and a subset of the 53-limit. In 47-limit just intonation, all ratios in the system will contain no primes higher than 47.

It is the highest prime limit that can be represented with Helmholtz-Ellis notation.

See also