Harmonic major scale

In music theory, the harmonic major scale is a musical scale found in some music from the common practice era and now used occasionally, most often in jazz. It was named by Rimsky-Korsakov. In George Russell's Lydian Chromatic Concept it is the fifth mode (V) of the Lydian Diminished scale.

It can be considered a major scale with the sixth degree lowered, Ionian ♭13, or the harmonic minor scale with the third degree raised. It may also be generated by reversing and rotating the succession of intervals in the harmonic minor scale. It contains the following chords, which are also considered borrowed from the parallel minor: the minor subdominant, Dom 7 ♭9, the supertonic diminished triad, the supertonic half-diminished seventh chord, and the fully diminished seventh leading tone chord. It also contains an augmented triad.

The harmonic major scale has its own set of modes, separate from the harmonic minor, melodic minor, and major modes, depending on which note serves as the tonic.

For example, a B major scale consists of the notes: B C♯ D♯ E F♯ G♯ A♯; whereas a B harmonic major scale consists of the notes: B C♯ D♯ E F♯ G A♯. Notice the sixth note in the sequence is lowered, from G♯ to G. The B harmonic major scale can also be obtained from the B harmonic minor scale, which is B C♯ D E F♯ G A♯, by raising the D to D♯. The B♭ harmonic major scale may be derived from the E♭ melodic minor scale with a raised fourth: E♭ F G♭ A B♭ C D.

...
Wikipedia