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 or neutral intervals, although in the case of central seconds and sevenths they are equable heptatonic.

Examples

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