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...and? What's the point? Does this math have any musical relevance? Does it sound sexy? Does it sound spiritual? Does 432 evoke other emotions compared to 440 by the same piece being performed? Research into those fields would also be interesting to hear about. :-) Per On Wed, Nov 7, 2012 at 5:33 PM, D. Webb <dickwebb@soaringspider.com> wrote: > According to my research, (440 - 432) / 440 = .018181818... Since the > repeating digit pairs each add to 9 this indicates that there have been 2 > digits transposed somewhere, as any accountant can tell you. > > Now (440 - 432) / 432 equals .0185185185... Since the repeating digit > triplets each add to 14, the digits of which add to 5, and since 5 + 5 = > 10, > which is the base of the numerical system we are using, then each 2 > digits > that have been transposed cost us a dime. > > Either way, we have an infinitely repeating decimal, which means that > either > one should be equally at home in a looping situation. > > The relative equality of either frequency's adaptability to looping is > further enhanced by noting these relationships: > > 440 / (440 - 432) = 55, thus enhancing the repetition of 5 > 432 / (440 - 432) = 54, the digits of which add to 9 - enough said! > > As for calculations involving the sum of 440 and 432, that I leave as an > exercise for the reader. > > Happy digitizing. > > dw