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The University High School Band
The History and Theory of Music

Harmonic Intervals

Octaves, fifths, and fourths (the first four tones of the harmonic series at frequency ratios of 1:2, 2:3, and 3:4) are known as perfect intervals.

Seconds, thirds, sixths, and sevenths, however, have a major version and a minor version. In all cases, the major interval is one semitone higher than the minor interval.

Seconds

A minor second is a second with one semitone.

A major second is a second with one whole tone.

Thirds

A minor third is a one whole tone plus one semitone.

A major third is two whole tones.

Sixths

A minor sixth is a perfect fifth plus one semitone.

A major sixth is a perfect fifth plus one whole tone.

Sevenths

A minor seventh is one whole tone below an octave.

A major seventh is one semitone below an octave.