Perfect interval
unison, 4th, 5th, octave
Major and minor interval
2nd, 3rd, 6th, 7th
Augmented and diminished intevals
can be any size except diminished unison
Inverted major
inverted augmented
inverted perfect
Diminished interval
half step below perfect or minor, whole step below major
Augmented interval
half step above perfect or major
Major triad
M3 + m3, M3 + P5
Minor triad
m3 + M3, m3 + P5
Augmented triad
M3 + M3, M3 + A5
Diminished triad
m3 + m3, m3 + d5
Triad: 1st inversion
bring up bottom note (6 or 6 over 3)
5 3 1 turns into 1 5 3
Triad: 2nd inversion
bring up bottom two notes (6 over 4)
5 3 1 turns into 3 1 5
interval inversion
subtract from 9 to find the interval
ex m3 = M6 inversion