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A 440 Hertz sounds an octave higher at 880 Hz. The pitch sounds an octave lower when the frequency is halved to 220 Hz.

Just intonation also describes a tuning system that contains five or more pure intervals in an octave. There have been many attempts to construct scales composed completely of justly tuned intervals.

History

Musicians instinctively perform in just intonation when possible. Singers and string players gravitate towards pure

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