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Middle C is 261.63 Hz. The next half-step up (C#) is 277.183 Hz.

Why are these notes, while a tone at, say, 265 Hz, is not? Or what about 269.1488 Hz -- nearly absolute middle of the two?

Why do we recognize certain frequencies as notes?

Middle C is 261.63 Hz. The next half-step up (C#) is 277.183 Hz. Why are these notes, while a tone at, say, 265 Hz, is not? Or what about 269.1488 Hz -- nearly absolute middle of the two? Why do we recognize certain frequencies as notes?

(post is archived)

evenly spaced

Well, not linearly, but by a factor of the twelfth root of 2 (i.e. 21/12)