User:Squib/Drafts/5.7.11.13 subgroup: Difference between revisions

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-The '''5.7.11.13''' subgroup is a subgroup.
+The '''5.7.11.13 subgroup''' is a [[just intonation subgroup]] consisting of [[rational interval]]s where [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[13/1|13]] are the only allowable [[prime factor]]s, so that every such interval may be written as a ratio of integers which are products of 5, 7, 11, and 13; this makes it a rank-4 system.
+The subgroup can be very easily be collapsed into a rank-3 temperament by tempering out [[../847∕845|847/845]]
+== Regular temperaments ==
+=== Rank-1 temperaments ===
+=== Rank-2 temperaments ===
+=== Rank-3 temperaments ===