Alpha scale

The α (alpha) scale is a non-octave-repeating musical scale. In one version it splits the perfect fifth (3:2) into nine equal parts of approximately 78.0 cents. In another it splits the minor third into two equal parts, or four equal parts of approximately 78 cents each Play . At 78 cents per step, this totals approximately 15.385 steps per octave. The scale step may be precisely derived from using 9:5  Play  to approximate the interval 3:2/5:4, which equals 6:5  Play .

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