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Thursday, January 07, 2010

Is there such a thing as too much precision?

by Eric Lippert via Fabulous Adventures In Coding on 1/7/2010 3:02:00 PM

Well, enough chit-chat, back to programming language design. Suppose you’re building electronic piano software. As we’ve discussed before, the “equal temperament” tuning for a piano goes like this: the 49th note from the left on a standard 88 key piano is A, and its frequency is 440 Hz. Each octave above or below that doubles or halves the frequency. Why? Because humans perceive the ratio between two frequencies as the relevant factor, not the (subtractive) difference. There are twelve semitone ...

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