Diatonic modes spelled by seconds:
Just I: [P1, M2, M3, P4, P5, M6, M7], # Ionian
Just II: [P1, AcM2, m3, Ac4, P5, AcM6, m7], # Dorian
Just III: [P1, m2, m3, P4, P5, m6, Grm7], # Phrygian
Just IV: [P1, AcM2, M3, AcA4, P5, M6, M7], # Lydian
Just V: [P1, M2, M3, P4, Gr5, M6, Grm7], # Mixolydian
Just VI: [P1, AcM2, m3, P4, P5, m6, m7], # Aeolian
Just VII: [P1, m2, Grm3, P4, Grd5, m6, Grm7], # Locrian
Pythagorean I: [P1, AcM2, AcM3, P4, P5, AcM6, AcM7], # Ionian
Pythagorean II: [P1, AcM2, Grm3, P4, P5, AcM6, Grm7], # Dorian
Pythagorean III: [P1, Grm2, Grm3, P4, P5, Grm6, Grm7], # Phrygian
Pythagorean IV: [P1, AcM2, AcM3, AcAcA4, P5, AcM6, AcM7], # Lydian
Pythagorean V: [P1, AcM2, AcM3, P4, P5, AcM6, Grm7], # Mixolydian
Pythagorean VI: [P1, AcM2, Grm3, P4, P5, Grm6, Grm7], # Aeolian
Pythagorean VII: [P1, Grm2, Grm3, P4, GrGrd5, Grm6, Grm7], # Locrian
The same modes spelled by thirds:
Just I: [P1, M3, P5, M7, M9, P11, M13], # Ionian
Just II: [P1, m3, P5, m7, AcM9, Ac11, AcM13], # Dorian
Just III: [P1, m3, P5, Grm7, m9, P11, m13], # Phrygian
Just IV: [P1, M3, P5, M7, AcM9, AcA11, M13], # Lydian
Just V: [P1, M3, Gr5, Grm7, M9, P11, M13], # Mixolydian
Just VI: [P1, m3, P5, m7, AcM9, P11, m13], # Aeolian
Just VII: [P1, Grm3, Grd5, Grm7, m9, P11, m13], # Locrian
Pythagorean I: [P1, AcM3, P5, AcM7, AcM9, P11, AcM13], # Ionian
Pythagorean II: [P1, Grm3, P5, Grm7, AcM9, P11, AcM13], # Dorian
Pythagorean III: [P1, Grm3, P5, Grm7, Grm9, P11, Grm13], # Phrygian
Pythagorean IV: [P1, AcM3, P5, AcM7, AcM9, AcAcA11, AcM13], # Lydian
Pythagorean V: [P1, AcM3, P5, Grm7, AcM9, P11, AcM13], # Mixolydian
Pythagorean VI: [P1, Grm3, P5, Grm7, AcM9, P11, Grm13], # Aeolian
Pythagorean VII: [P1, Grm3, GrGrd5, Grm7, Grm9, P11, Grm13], # Locrian
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