The diminished seventh chord repeats itself every minor third interval
ascending and descending in tone.
C diminished seventh = C, Eb, Gb, A (shorthand = Co7)
Eb diminished seventh = Eb, Gb, A, C (shorthand = Ebo7)
Gb diminished seventh = Gb, A, C, Eb (shorthand = Gbo7)
A diminished seventh = A, C, Eb, Gb (shorthand = Ao7)
C diminished seventh = C, Eb, Gb, A (shorthand = Co7) octave repeat
The augmented chord repeats itself every major third ascending and descending.
G augmented = G, B, D# (shorthand = G+)
B augmented = B, D#, G (shorthand = B+)
D# augmented = D#,G, B, (shorthand = D#+)
G augmented = G, B, D# (shorthand = G+) octave repeat
Try the following examples first in C major:
Original: D minor seventh //// C major seventh //// G dominant seventh ////
or Dm7 //// Cmaj7 //// G7 ///// or ii7 //// V7 //// Imaj7 //// in C major.
Symmetrical Substitution Chord Diminished Seventh:
Dm7 //// D#o7 //// G7 //// Cmaj7 ////
ii7 //// #iio7 //// V7 //// Imaj7 //// (remember you can play D#o7, F#o7, Ao7, Co7 also)
Symmetrical Substitution Diminished Seventh chord played half step above dominant chord:
Dm7 //// G#o7 //// Bo7 //// Do7 //// G7 //// Cmaj7 ////
ii7 //// #vo7 //// viio7 //// iio7 //// V7 //// Imaj7 ////
Original: D minor seventh //// G dominant seventh //// C major seventh ////
or Dm7 //// Cmaj7 //// G7 ///// or ii7 //// V7 //// Imaj7 //// in C major.
Symmetrical Substitution Major Seven Augmented Chord:
Dm7 //// Fmaj7+ //// G7 //// Cmaj7 ////
ii7 //// IV+ //// V7 //// Imaj7 ////
Symmetrical Substitution Major Augmented Chord:
Dm7 //// G7 //// Gmaj+ //// Bmaj+ //// Ebmaj+ //// Cmaj7 ////
Also try all the above examples with C as the pedal tone.
Now transpose these to each position (register) of your instrument, then to all 15 keys.
Then apply this same concept to all scales and modes.
For a more in depth study of symmetrical scales purchase
"Symmetrical Scales For Jazz Improvisation" By Masaya Yamaguchi.
All materials copyright 2010. For personal use only.
Vince Lauria Sun and Earth Music
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