I just checked out the one and only theory book in our library. It describes the use of each tone in a scale, and what it generally leads to. But I have a question on this, what about a scale, such as the diminished, that has more than seven intervals? Or the pentatonic? Because I am wondering since the diminished has 8 notes and the pentatonic has 5.

Diminished
1,2,b3,4,b5,b6,6,7,1
C-D-Eb-F-Gb-Ab-A-B-C

Minor Pentatonic
1,b3,4,5,b7
C-Eb-F-G-Bb-C

For the diminished, which tones then would be the tonic, supertonic, mediant, subdominant, dominant, submedian, and leading tone? Thanks

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