| In a message dated 6/2/02 10:59:33 AM Central Daylight Time, | mfarrel2@tampabay.rr.com (Farrell) writes: | | | > I thought there were about 4 cents per cycle per second in the middle of the | > keyboard. So would you not need a difference of 4 cents between two strings | > to get 1 beat per second? That would make the PTG exam tolerance of about | > 1/4 beat per second, or 1 beat per four seconds. Or am I missing something? The difference between 440 and 439 is almost 4 cents. >From 880 to 879 nearly 2 cents. From 1760 to 1759 almost 1 cent. All of these intervals beat at one bps. The reason the cents get smaller is that the intervals of one cycle per second difference are smaller at higher frequencies. Any two frequencies make an interval. An interval can be expressed as the ratio of their frequencies and that can then be expressed as cents. The interval 440/439 is larger than 880/879. Twice as large actually as they are an octave apart. ---ric
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