You decide to circumvent the tyranny of the twelve even-tempered semitone musical scale of Western civilization by introducing your own 17 tone scale to cover the octave in equal percentage steps. How close can you get to the interval which in Western music is called the "fourth ( 1.333)"? (Express your answer as a percentage deviation of the upper note from the just value, keeping the sign and rounding it off to the nearest tenth of a percent.)

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You decide to circumvent the tyranny of the twelve even-tempered semitone
musical scale of Western civilization by introducing your own 17 tone scale to cover the octave in equal
percentage steps. How close can you get to the interval which in Western music is called the "fourth (
1.333)"? (Express your answer as a percentage deviation of the upper note from the just value, keeping
the sign and rounding it off to the nearest tenth of a percent.)
Transcribed Image Text:You decide to circumvent the tyranny of the twelve even-tempered semitone musical scale of Western civilization by introducing your own 17 tone scale to cover the octave in equal percentage steps. How close can you get to the interval which in Western music is called the "fourth ( 1.333)"? (Express your answer as a percentage deviation of the upper note from the just value, keeping the sign and rounding it off to the nearest tenth of a percent.)
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