At the core of Jazz music is harmony valued by intervals.

Intervals in Jazz

Chromatic From Any Root

Half Steps	Interval Name
0	Perfect Unison (PU)
1	Minor Second (m2)
2	Major Second (M2)
3	Minor Third (m3)
4	Major Third (M3)
5	Perfect Fourth (P4)
6	Diminished Fifth (D5) Augmented Fourth (A4)
7	Perfect Fifth (P5)
8	Minor Sixth (m6) Augmented Fifth (A5)
9	Major Sixth (M6)
10	Minor Seventh (m7) Augmented Sixth (A6)
11	Major Seventh (M7)
12	Perfect Octave (P8)
13	Minor Ninth (m9)
14	Major Ninth (M9)
15	Minor Tenth (m10)
16	Major Tenth (M10)

Notes in intervals can be separate and in order: ascending and descending or played at the same time as chords. Intervals are characterized by the grades of the scale, taking each note of a scale & assigning a number. Music intervals are the basis for chordal and linear harmony.