Accidental space

MAN

 

Chromatic Space

MAN mapped to P1/P8

 

Jump Space

Mapped to P5 leads to all scales being diatonic within their key; a.k.a., Super diatonic

Mapped to TT all scales spelled with only Root and Tritone (C, F#)
Tritone: only six unique dyads.

 

Skip Space

MAN mapped to M3 all scales spelled with only Root, Third, and Sharp Five (C, E, G#)
Augmented triad; only 4 unique triads

and m3 all scales spelled with only Root, Flat third, Flat fifth, and Flat Seventh Sixth (C, Eb, Gb, Bb)
Diminished Seventh Chord: only 3 unique quadrads

 

Step Space

MAN mapped to M2 spells out a whole tone scale (CDEF)
Whole Tone Scale: only 2 unique hexads

and m2 spells out garbage since:
1) it is the mirror image of P5 and thus would not be expected to be well represented in a freamework that is built off off the jump encoding of the chromatic circle., ie the circle of fifths
2) It is the only interval that is larger than than the set of notes, 7 since heptatonic… as such impossible to fit it in our structure.
3) Building on the above, m2 would represent one of the generators of Z12 and thus have order 12 and thus generates the whole group; this is known the improper group, the subgroup that is the full group.