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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?

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[–] • 3 pts

This isn't what op was asking.

Get a fretless instrument and there's infinite tones.

You can pick whatever freq you want for any note you want. Every octave is double that.

The notes we use are just a standard we've set.

If anything, he's hinting at the difference between equal temperament vs just temperaments.