Etude 20-Harmonic Substitution Using Symmetrical Intervals

This is an excerpt from my pdf book, The Vertical Saxophone, A Methodical Approach To Wide Intervals: Technique And Improvisation. In this etude I run through ii7-V7-I cycles in all 12 major keys applying altered, upper harmonic tensions (-9, +9, +11, -13) over the V7 chord . I do so by organizing the tensions into symmetrical intervals (mostly perfect 4ths, tritones and perfect 5ths). Take a look at the example below:

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In beats 3 and 4 of the 2nd measure (G7) I have arranged the +9, 7,  -13 and -9 (Bb, F, Eb, Ab) into a pair of perfect 4ths (Bb descending to F; Eb ascending to Ab). By organizing the tensions this way, I create a line that is angular, yet resolving. (You’ll also notice that the line in general is made up of primarily 4ths, 5ths and a few 7ths, continuing this more angular sonority.) Each 4 bar pattern modulates in descending whole steps, which allows you to more clearly hear the wider intervals in a context of tonality. Click the links below to download the pdf and to hear a midi version of it:

Harmonic Substitutions Using Symmetrical Intervals .pdf

Harmonic Substitution Using Symmetrical Intervals midi