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 (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.