User:CompactStar/Ordinal interval notation

'Lefts and rights notation is a notation for just intonation

To get the classification for an interval, multiply the interval classes of the prime harmonics which it factors into, which are predefined as follows:

Prime harmonic	Interval
2/1	P8	perfect octave	C
3/2	P5	perfect 5th	G
5/4	M3	major 3rd	E
7/4	m7	minor 7th	Bb
11/8	P4	perfect 4th	F
13/8	m6	minor 6th	Ab
17/16	m2	minor 2nd	Db
19/16	m3	minor 3rd	Eb
23/16	A4	augmented 4th	F#
29/16	m7	minor 7th	Bb
31/16	P8	perfect octave	C
37/32	M2	major 2nd	D
41/32	M3	major 3rd	E
43/32	P4	perfect 4th	F
47/32	P5	perfect 5th	G
53/32	M6	major 6th	A
61/32	M7	major 7th	B