farey clock

every fraction p∕q sits p∕q of a turn around the circle (p∕q × 360°). the farey sequence of order n contains every reduced fraction between 0 and 1 with denominator ≤ n. if p∕q and r∕s are neighbors, then |ps − rq| = 1, every time. hover a dot to light up its two neighbors and see that determinant worked out. click to hear the position as a pitch: p∕q of an octave above the root, step p of q-EDO, so 2∕3 sounds 800¢, not a fifth.