5-limit: Difference between revisions

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 The octave equivalence classes of 5-limit intervals can usefully be depicted on a lattice diagram, either as a [[wikipedia: Hexagonal lattice|hexagonal lattice]] or as a [[wikipedia: Square lattice|square lattice]]; this can be done automatically by [[Scala]]. If the intervals are depicted with maximum symmetry as a hexagonal lattice, then the corresponding 5-limit triads define a [[wikipedia:Hexagonal tiling|hexagonal tiling]].
-The 5-limit can be considered as the [[trivial temperament]] '''classical''', which is a rank-3 temperament generated by 5/4, 3/2, and 2/1 that tempers out no commas - all rank-3 temperaments in the 7-limit or higher generated by 5/4, 3/2, and 2/1 are extensions of classical.
 == Terminology ==