47-limit: Difference between revisions

Line 1:

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]].

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.

It is the highest prime limit that can be represented with [[Helmholtz–Ellis notation]].

== Music ==

Line 9:

Line 13:

* [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)

~~== See also ==~~

* [[47-odd-limit]]

[[Category:47-limit| ]]

@@ Line 1: / Line 1: @@
 {{Prime limit navigation|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]].
+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.
+It is the highest prime limit that can be represented with [[Helmholtz–Ellis notation]].
 == Music ==
@@ Line 9: / Line 13: @@
 * [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)
-== See also ==
-* [[47-odd-limit]]
 [[Category:47-limit| ]] <!-- main article -->