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EIGHT, OCTAVES, AND NEW BEGINNINGS<br />

Octaves are notes that you hear as being "the same" in spite<br />

of their being higher or lower in actual pitch. (Technically,<br />

notes separated by an octave are in the same pitch class.)<br />

Play middle C on the piano. Then go up the C major scale<br />

(the white keys) and the eighth note you play will be another<br />

C an octave higher. The "oct" part of the word refers to this<br />

eight step distance up the scale.<br />

From a science perspective, octaves are pitch intervals<br />

related by factors of two. When a tuning fork plays standard<br />

concert A, it vibrates at 440 Hz. The A an octave higher is<br />

880 Hz, and the A an octave lower is 220 Hz. Any note with<br />

the frequency 2^n * 440 will be an A. It's a central mystery of<br />

human cognition why we hear pitches related by powers of<br />

two as being "the same" note. It is the same note but one<br />

step higher. - a new heaven. The ability to detect octave<br />

equivalency is probably built in to our brains, and it isn't<br />

limited to humans.

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