Helmholtz' breakdown of the interval between all the notes in a scale is Pythagorean (because he got it right) and offers a great deal of proportional information. If one believes that there is a parallel between the way our ear hears intervallic change and the way our eyes see it, having this tool at my disposal is very useful. The benefit of proportion to an improvisational architecture is huge, because it can be riffed on (see Mannerism).
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