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Key Facts In This Video
In the traditional western scale, the jump from one pitch to another with half or double the frequency is called an octave. 00:45
It's mathematically impossible to tune a piano across all of its keys using harmonics, and so most are tuned with equal tempered tuning. 02:45
Equal tempered tuning enables pianos, digital tuners, and computer instruments to play any song in any key (though they will be imperceptibly out of tune). 03:34