just think of the pitch axis theory as a ferris wheel, everything is revolving around one point, which is the tonal center. the individual booths are the modes. you've got ionian, dorian, phrygian, lydian, mixolydian, aeolian, aeolian harmonic, aeolian melodic, and locrian.

the pitch axis theory is pretty much taking one note, and shifting through every mode.

heres an example

C major (no sharps, no flats)

CDEFGABCBAGFEDC (IONIAN)
CDEbFGABbCBbAGFEbDC (DORIAN)
CDbEbFGAbBbCBbAbGFEbDbC (PHRYGIAN)
CDEF#GABCBAGF#EDC (LYDIAN)
CDEFGABbCBbAGFEDC (MIXOLYDIAN)
CDEbFGAbBbCBbAbGFEbDC (AEOLIAN)
CDEbFGAbBCBAbGFEbDC (AEOLIAN HARMONIC)
CDEbFGABCBbAbGFEbDC (AEOLIAN MELODIC) watch this one, it
changes descending
CDbEbFGbAbBbCBbAbGbFEbDbC (LOCRIAN)

so when applying the pitch axis theory, you'd shift through these modes revolving around the tonal center.

so it'd look something like this:

key of G (F#)
IONIAN DORIAN PHRYGIAN
G-4p0h5p0h7p0h11h12~p0h3p0h7p0h9h10h12~p0h1p0h2p0h5h7h8~

and so on....

sixstringshredda