[Smt-talk] prolongation

Eytan Agmon agmonz at 012.net.il
Sun Jul 17 12:16:07 PDT 2011

Nicolas asks:


Isn't the efficient voice leading merely a consequence of the structure of chords as piling 3ds, with the result that any note in between the borders of the tonal spaces is adjacent to at least one (and often both) of these borders?

Not at all. “Efficient voice leading” entails (in conjunction with other assumptions) the piling “in thirds” (rather than some other arbitrary interval), that the modular generic space be of an odd cardinality b (e.g. 7), and that the number of elements in the chord be (b-1)/2 or (b+1)/2 (e.g., 3 or 4).

Eytan Agmon

Bar-Ilan University




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