Just a side note (too long for a comment), in Jazz there are the so called Symmetrical Diminished scales. These are octatonic scales that play well over diminished chords, and that are built from two groups of 4 notes, each group with a similar shape. There are two of these scales:
- half-whole mode -- 1st group = [1 b2 #2 3] - 2nd group = [#4 5 6 b7]
- whole-half mode -- 1st group = [1 2 b3 4] - 2nd group = [ b5 b6 6 7]
You will notice that for each mode, the whole-tone/half-tone relationship in the notes in each group is the same, hence the name "symmetrical" scales.
This Magen Avot scale, as I understand from the Jewish tradition, is equivalent to the 1st half of the half-whole mode together with the 2nd half of the whole-half mode.
I'm not saying there's a Jewish tradition influence in Jazz (as far as I know, there isn't), but I find quite interesting how these related structures appear in different independent cultural fields, perhaps showing an underlying universal structural relationship.