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Theory · glossary

Interval

Also called musical interval, pitch interval

An interval is the distance in pitch between two notes. Its size is counted in semitones and its name comes from the letter names it spans: C up to E covers C, D and E, so it is a third, and at 4 semitones it is a major third.

An interval’s name has two parts. The number counts letter names, including both ends: C, D, E is three letters, so C to E is a third. The quality (major, minor, perfect, augmented or diminished) comes from the exact number of semitones. C to E is 4 semitones, a major third. C to Eb is 3, a minor third.

Here are the intervals from C up to the next C:

C up toSemitonesName
Db1Minor second
D2Major second
Eb3Minor third
E4Major third
F5Perfect fourth
F#6Tritone (augmented fourth)
G7Perfect fifth
Ab8Minor sixth
A9Major sixth
Bb10Minor seventh
B11Major seventh
C12Octave

The names work the same whether the two notes sound together (a harmonic interval) or one after the other (a melodic interval).

An octave sounds like the same note, higher, because the frequency doubles: A4 is 440 Hz and A5 is 880 Hz. A perfect fifth sounds open and stable, and a power chord is a root and its fifth, often with the octave on top. A major third sounds bright and a minor third darker. A minor second rubs, and so does a tritone. The B and F inside a G7 chord are a tritone apart, and they pull toward C major: B rises to C and F falls to E.

Chords are stacks of intervals. A C major triad, C E G, is a major third (C to E) with a minor third on top (E to G), and the outer notes, C to G, make a perfect fifth. Put the minor third on the bottom and you get C minor, C Eb G.

Chord symbols count intervals above the root. The 5 in C5 is the fifth, G, and the 7 in C7 is a minor seventh, Bb. The 9 in Cadd9 is a ninth, D, an interval wider than an octave: C up to the D above the next C is 14 semitones. How to read chord symbols decodes the rest of those numbers, and what notes sound good together covers which intervals clash.

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