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Re: A = 440 Hz OR 432 Hz?

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