BookatlasPiano Rabbit Hole: Improvisation Theory & Practice
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3.37Diminished substitution for A7

A7♭9 contains:

A C♯ E G B♭.

Remove A:

C♯ E G B♭

C♯ E G B♭

= C♯°7.

So:

C♯°7 → Dm

can stand in dominant territory related to A7♭9 → Dm.

This connects diminished and dominant functions again.