User:CompactStar/Ordinal interval notation

Lefts and rights notation is a notation for just intonation primarily developed by CompactStar.

Explanation

All just intervals are indicated by a direction, which is a sequence of lefts and rights, and a degree. The degree is calculated by adding 1 to the 7edo patent val mapping of a ratio. The "default" direction, with no lefts or rights is central (C). If k is a degree, the central k-th is formally defined as the simplest (with respect to Tenney height) just k-th that is within 20 cents of (k-1)\7. Central intervals are usually perfect, neutral or equable heptatonic intervals.

Examples

Below are some examples of lefts and rights notation for 11-odd-limit intervals: