Pseudo-traditional harmonic functions of enneatonic scale degrees

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Degree number Function Regular tetrad
I Tonic I-III-V-VII
II Supertonic II-IV-VI-VIII
III Comediant III-V-VII-IX
IV Subdominant IV-VI-VIII-I
V Submediant V-VII-IX-II
VI Mediant VI-VIII-I-III
VII Dominant VII-IX-II-IV
VIII Cosubmediant VIII-I-III-V
IX Leading tone

Subtonic

IX-II-IV-VI

For terms like enneatonic see

Anhemitonic scale #Miscellanea - Wikipedia