User:CompactStar/Ordinal interval notation

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

Explanation

Regular interval names corresponds to Pythagorean intervals, e.g. 32/27 is a minor third. To name non-Pythagorean intervals, they are given the name of a nearby Pythagorean interval (see #Mapping non-Pythagorean intervals), then prefixed with a sequence of lefts and rights (abbreviated as < and > respectively), known as the direction of the interval. Left and right have the following meaning (where X is any direction, and Y is a regular interval name):

  • leftX

For example, 5/4). Note that "leftright"

Mapping non-Pythagorean intervals