47-limit: Difference between revisions

Move from "Music in just intonation" page
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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.
The '''47-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 47. It is the 15th [[prime limit]] and is thus a superset of the [[43-limit]] and a subset of the [[53-limit]].  


It is the highest prime limit that can be represented with [[Helmholtz-Ellis notation]].
It is the highest prime limit that can be represented with [[Helmholtz-Ellis notation]].
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== See also ==
== See also ==
* [[Harmonic limit]]
* [[47-odd-limit]]


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