The E Flat Aeolian major 3 no 4 Scale as one would find it on any conventionally tuned, equal tempered instrument. With the third raised and the fourth missing, this is the unnatural "natural" minor. With that major third, it's not even minor.
The G Lydian augmented 5 mapped to the Square-root-of-2 Scale. The augmented fifth leaves this scale with two quarter-tones leading upward into the tonic.
The E Flat Dorian diminished 4 mapped to the Cube-root-of-2 Scale. The equal tempered altered scale compressed to fit within the space of an equal tempered major third.