Each of these scales has an extra chromatic passing tone. In general, bebop scales consist of traditional scales with an added passing tone placed such that when the scale is begun on a chord tone and on the downbeat, all other chord tones will also fall on downbeats, with the remaining tones in the scale occurring on the upbeat. As such, many heptatonic scales may be modified by the addition of an eighth passing tone to accomplish this same effect; however, the modifier "bebop" is reserved to indicate those scales most frequently used—and popularized—during the bebop era.
Bebop dominant scale
The bebop dominant scale is derived from the Mixolydian mode and has a chromatic passing tone between the 7th and the root.
The bebop Dorian scale is derived from the Dorian mode and has a chromatic passing tone between the minor 3rd and the perfect 4th.
It has all the notes in both the Dorian scale and the Mixolydian scale of the same root. It is the 5th mode of the bebop dominant scale. A second form of the bebop Dorian scale features a major seventh bebop note between the dominant seventh and the tonic.
The second style, featuring the major seventh, is generally used by guitar players for its accessibility when applied to traditional minor scale shapes. However, many players and resources adhere to the traditional spelling of the scale.
Bebop major scale
The bebop major scale is derived from the Ionian mode and has a chromatic passing tone between the 5th and 6th notes.
The bebop melodic minor scale is derived from the ascending form of the melodic minor scale and has a chromatic passing tone between the 5th and 6th notes.
It has all the notes of both the ascending form of the melodic minor scale and the harmonic minor scale of the same root. This scale is often used over minor sixth chords. These scales are listed in David N. Baker's books on bebop. They are also included, with the exception of the Dorian bebop scale, in Roni Ben-Hur's book Talk Jazz: A Comprehensive Collection of Bebop Studies, which is derived from the work of Barry Harris. Ben-Hur further elaborates on the concept of placing additional chromatic passing tones between other notes in the scales.
Bebop harmonic minor scale
The bebop harmonic minor scale is derived from the harmonic minor scale and has a chromatic passing tone between the 6th and the 7th notes.
It contains all of the notes of both the harmonic minor scale and the natural minor scale of the same root. It can be used on all three chords of a minorII-V-I progression. It is a mode of the bebop major scale: for instance, the C bebop harmonic minor scale has the same pitches as the E bebop major scale.