User:CompactStar/Ordinal interval notation: Difference between revisions

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 == Explanation ==
-All intervals are given a diatonic degree (e.g. [[3/2]] is a fifth), derived from their [[7edo]] [[patent val]] mapping.  A basic (b) n-th is the simplest (via [[Tenney height]]) just n-th. For example:
+All intervals are given a diatonic degree (e.g. [[3/2]] is a fifth), derived from their [[7edo]] [[patent val]] mapping.  A basic (b) n-th is the simplest (via [[Tenney height]]) just n-th. A left (<) n-th is the simplest n-th that is flatter than the basic n-th, and similarly a right (>) n-th is the simplest n-th that is sharper than the basic n-th.
-Basic unison = [[1/1]]
-Basic second = [[8/7]]
-Basic third = [[5/4]]
-Basic fourth = [[4/3]]
-Basic fifth = [[3/2]]
-Basic sixth = [[5/3]]
-Basic seventh = [[7/4]]
-Basic octave = [[2/1]]
-A left (<) n-th is the simplest n-th that is flatter than the basic n-th.