What happens, if the Negate applied on diatonic scales?
Of course, the melody and harmony will be upside down. And scales, almost all of this cases will be changed.
The major scale will be phrygian scale,
the phrygian scale will be major scale,
the minor scale will be mixolydian scale,
the mixolydian scale will be minor scale,
the lydian scale will be locrian scale,
the locrian scale will be lydian scale,
but the dorian scale will be dorian scale.
The center point selection could be used as a transposition.
If you choose the center point 6 semitone higher then the root note of your original scale, then the result will get the same root note. (eg: Choose G#, when the original root note is C) "Mirror up" and "mirror down" modes give the most western ear friendly result, when the center point selected by this way, or positioned to the root note of the original scale. (Eg. Choose C, when the original root note is C)
Lets explore! 🙂