In diatonic set theory a generic interval is the number of scale steps between notes of a collection or scale. The largest generic interval is one less than the number of scale members. (Johnson 2003, p.26)

In the diatonic collection the generic interval is one less than the corresponding diatonic interval:

• Adjacent intervals, seconds, are 1
• Thirds = 2
• Fourths = 3
• Fifths = 4
• Sixths = 5
• Sevenths = 6

The largest generic interval in the diatonic scale being 7-1 = 6.

See also: specific interval.

Source

• Johnson, Timothy (2003). Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals. Key College Publishing. ISBN 1930190808.