D is a major third down from G♭, therefore you can substitute for D7♭9.B is a major third down from E♭, therefore you can substitute for B7♭9.A♭ is a major third (2 steps) down from C, therefore we can substitute for A♭7♭9. This means that you can find a root note by going down a major third from any note. Consider that we know the diminished 7 chord voicings are interchangable. If you add a root note, which is usually played by a bass player, you have a 7♭9 chord. Those are the same intervals as the dim7 chord. Actually, diminished 7 chords substitute for four different 7♭9 chords. Diminished chord theory is a topic worthy of its own lesson (or course), but I will try to explain one of the primary uses in Jazz, which is as a chord substitution.ĭiminished 7 chords are used as chord substitutions for Dominant7♭9 chords. If they are, it is based on the 7th degree of the scale. They can be used in a major key, but this is not common. Diminished chords are not used very often.
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