47-limit: Difference between revisions

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 {{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 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]].
+These things are contained by the 47-limit, but not the 43-limit:
+* The [[47-odd-limit|47-]], [[49-odd-limit|49-]], and [[51-odd-limit]];
+* Mode 24, 25 and 26 of the harmonic or subharmonic series.
-== See also ==
+It is the highest prime limit that can be represented with [[Helmholtz–Ellis notation]].
-* [[Harmonic limit]]
+== Music ==
+; [[Randy Wells]]
+* [https://www.youtube.com/watch?v=EYYUX5n_KIw ''End Permian: The Great Dying''] (2022)
+* [https://www.youtube.com/watch?v=KXdgvKMc-M8 ''End Cretaceous - Begin Paleocene''] (2022)
+* [https://www.youtube.com/watch?v=sjTV6FWouXs ''End Anthropocene: A Once Beautiful Creation''] (2022)
+{{stub}}
 [[Category:47-limit| ]] <!-- main article -->