7-32, (0135689), Harmonic Major
   

7-32, (0135689), Harmonic Major

Set Class

The harmonic major scale is a fairly even heptatonic (seven-note) scale consisting of mostly semitone and whole-tone intervals, and one minor third (three-semitone) gap. It is involution-related to the harmonic minor scale. More 

 

In both cases, the presence of the minor third makes these scales less regular and more uneven or ungainly, which may partially explain why they are less common in jazz theory. Overall they are fairly even and interesting harmonically, so their modes are still worth exploring.

These two scales can be thought of as slightly-modified, more-uneven versions of the acoustic or melodic minor scale, when treated as OPTIC-equivalent objects. The harmonic major scale is traditionally thought of as a harmonic minor scale with a sharped third scale degree, or a major scale with a flat sixth scale degree (when thought of as an OTC-equivalent object). However, in Harmonious we refer to the harmonic major or minor scales as OPTC-equivalent objects, unordered collections of notes, with seven possible playable modes, not just the actual harmonic major or minor modes themselves.

See also Harmonic Major, and Beyond Diatonic for more about the set class behind the harmonic major scale.

Less 
Interval-content vector <335442>
Distance (8/7)*

the minimum Euclidean distance from this set to any transposition of the perfectly even 7 note chord, in semitones

Ancohemitonic chromatic-cluser-free
Hemitonic set contains one or more semitones
Tritonic set contains one or more tritones





C Harmonic Major
D Harmonic Major
D Harmonic Major
E Harmonic Major
E Harmonic Major
F Harmonic Major
F Harmonic Major
G Harmonic Major
A Harmonic Major
A Harmonic Major
B Harmonic Major
B Harmonic Major