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> Quoting Daryl Shawn <highhorse@mhorse.com>: > > > I do find that the golden rectangle is a construct that pops up again > > and again, particularly in pop songs. The climax, bridge, solo, > > whatever is nearly always at that magical point. > > Excellent point! To utilize the golden rectangle helps to assure a > sense of proportion to the music and generally results in a pleasing > "ebb and flow" over the course of the work. > I beg to differ. The Golden Mean exists outside of time. You observe the golden mean as a whole. Music exists in time. You don't know how much music is ahead (i.e., how much of the ratio is left) until you get to the end. You don't observe music as a whole until it's over. I've listened to some of Bartok's pieces which are written around the Golden Mean, and I don't hear it. I like the music, but I don't hear it. But tell me, what songs use the Golden Mean? Maybe if I listen more, I'll begin to notice it. Douglas Baldwin, coyote-at-large www.thecoyote.org coyotelk@optonline.net "Let these minutes and hours Show my mind strange new flowers" - Jackson Browne