Re: A scale made from the Harmonic Minor and the Harmonic Major...does it have a name
Since you are getting serious....
Harmonic major is quite common since Mozart (at least), It simply hasn't been formalized in schools.
And now the info that will change your life:
On the zannad scale, you have a chromatic passage; if the strong note is the m3, it is a minor harmonic with an approach on the 4th. If the strong note is the M3, it is a major harmonic with an approach on the M3.
Next step is the scale that was named "viral scale" by a friend in 1992.... 14 notes in an octave.... it is consonant.... It can be any known mode....
If the strong note is the M3 the m3 doesn't lead to anything in particular (especially if played just after the M3) - let's say that the chord structure or the bass line is relevant in this case and both minor and major chords can be met swiftly by any scale/mode which incorporates the m3 and M3.
I guess this Viral scale made of 14 tones incorporated 2 variants of 3M and 3m, am I right? The shifty 3rds would help readdressing some problems related to the use of the equal temperament (practical music) and the natural overtone series (real music).
Then, aren't 12 tones enough already? (we tune the 3rds by ear as we play); one of the hidden function of a scale (in my view) is that it provides a handy set of tones which is easier to handle/memorize than a chromatic scale - 12 tones divide by 2 = 6...then the major scale has 7 tones - ok, just one more than the exact half of a chromatic scale but it appears that our brains do well in memorizing groups made of 7 items....
Then, as mostly common chords are made from 3/4 tones (about half the tones of a scale), can we see them as a shorthand for a scale?
See? all is structured to facilitate memory....it would be "simpler" to go the whole hog and learn the chromatic scale at once - but apparently our brains don't work very well when dealing with scales made of more than 7 tones.