User:CompactStar/Ordinal interval notation

Lefts and rights notation is a notation for just intonation primarily developed by CompactStar. It represents every just interval as a sequence of lefts/rights and a diatonic degree.

Explanation

All intervals are given a diatonic degree, derived from their 7edo patent val mapping. If k is a degree, the central k-th is the simplest (according to Tenney height) just ratio which is a k-th. For example, the central 3rd is 5/4, since it is the simplest 3rd, and the central 7th is 7/4, since it is the simplest 7th. The left k-th is the simplest k-th which is flatter than central, and the right k-th is the simplest k-th which is sharper than central. Central, left and right are abbreviated as c, l, and r respectively.