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The common tones between two chords may not be enough to justify a substitution.For instance, if you were to choose to substitute iii for I, then you will want to pay attention to whether or not the tonic is in the melody since that is the one note that is not shared between the two chords.You also want to mind the 4 of TT, which would usually be replaced with #4, which is ^5.In a Jazz setting, this is often resolved by using an Altered Dominant chord, which would include all the notes from the major scale except the tonic, which isn't usually a melodic note on a dominant chord.With these notes in common, the two chords can fulfill the same function but there are differences between these chords, one of which being texture.When choosing a substitution, it's important to pay attention to what the melody and other important parts of the arrangement are doing.Are you trying to maintain strict counterpoint, just reasonably consistent voice leading, or just keep it sounding fairly consonant behind the the screaming Gilmouresque Strat/bebop saxophone/ambient Frippertronics solo you already recorded over the unmodified progression?My answers to those would be "probably not", "maybe", and "probably"/"yes"/"it doesn't matter" (screaming Strat/bebop Sax/ambient Frippertronics), respectively.

When substituting closely related chords the function will be function.The notes of an Altered Dominant in C Major, starting on b2 would be Db (1), D (b9), E(#9), F(3), G(#11), A(#5/b13, depending on who you ask), and B(7), though Jazzers would often spell it enharmonically to line up with the chord tones described in parentheses above (Db, Ebb, E, F, G, A or Bbb (depending on who you ask), Cb).This allows you to use a TT for just about any diatonic melody that appears over a V7 chord without creating major conflicts with the melody, however, it is still a different chord and one that is rather dissonant, so it should be used with care outside of its standard Jazz setting (or even in Jazz).It's an interesting angle to work from, but substitution is just that.Some of the notes from a particular chord are the same in another, so sonically, there's a good chance that the sub. The 'rules' come from good practice - as in does it sound o.k?

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