By transposing (& compounding) Prime set (P=+1+6, from C1)… up a major 3rd (+ IC4, from E1) = 0+1 (+3+1+2+1)… an ostensibly (semantic) Major scale/field.
(+3+1+2+1)…Complete (MAJOR) scale:
(F#0), A0, Bb0 – C1, C#1 – E1, F1, G1, G#1 B1 – C2, D2, Eb2 – F#2, G2, A2, Bb2 -C#3, D3, E3, F3, G#3, A3,B3 – C4, Eb4, E4, F#4, G4, Bb4, B4 – C#5, D5, F5, F#5, G#5, A5 -C6, C#6, Eb6, E6, G6, G#6, Bb6, B6 – D7, Eb7, F7, F#7, (A7, Bb7 -C8, C#8, E8, F8, G#8, B8)…
By transposing (& compounding) Prime set (P=+1+6, from C1)… up a minor 3rd (+ IC3, from Eb1) = 0+1 (+2+1+3+1)… an ostensibly (semantic) Minor scale/field.
(+2+1+3+1)…Complete (minor) scale:
(F#0, G#0), A0 – C1, C#1 – Eb1, E1, G1, G#1 Bb1, B1 – D2, Eb2 – F2, F#2, A2, Bb2 -C3, C#3, E3, F3, G3, G#3, B3 – C4, D4, Eb4, F#4, G4, A4, Bb4 – C#5, D5, E5, F5, G#5, A5, B5 -C6, Eb6, E6, F#6, G6, Bb6, B6 – C#7, D7, F7, F#7, (G#7, A7 – C8, C#8, Eb8, E8, G8, G#8, Bb8)…
(+3+1+3)… COMMON PC scale:
A0 – C1, C#1 – E1, G1, G#1 B1 – D2, Eb2 – F#2, A2, Bb2 – C#3, E3, F3, G#3, B3 – C4, Eb4, F#4, G4, Bb4 – C#5, D5, F5, G#5, A5 – C6, Eb6, E6, G6, Bb6, B6 – D7, F7, F#7, (A7 – C8, C#8, E8, G8, G#8)… (see fig. +3+1+3)
(+5+2)…UNCOMMON (outagraphic)PC scale:
Bb0 – Eb1, F1, Bb1 – C2, F2, G2 – C3, D3, G3, A3 – D4, E4. A4, B4 – E5, F#5, B5 – C#6, F#6, G#6 – C#7, Eb7, G#7, Bb7 – Eb8, F8, Bb8, B8 (see +5+2)