User:CompactStar/Ordinal interval notation

Lefts and rights notation (<>) is a notation for just intonation primarily developed by CompactStar. It represents every interval as a sequence of lefts/rights

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:

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