Pythagorean scale
music
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The Pythagorean scale is a musical scale where intervals are determined by mathematical ratios rather than by consonances. Early Pythagoreans discovered that basic musical intervals, such as the octave (1:2), fifth (3:2), and fourth (4:3), could be expressed as numerical proportions. They calculated intervals for the diatonic scale, with a tone represented by the ratio 9:8 and a semitone by 256:243. This scientific approach to music, using numerical ratios for intervals, originated with the Pythagoreans.12
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