| Figure 5. The upper figures display the tone repertoire of the Lydian mode of the Pythagorean diatonic scale (Octave shift F’ and Comma (apotome) shift F♯ of the tone F = (0, 0) in the origin are included). The projections to the pitch-height axis (left) and to the pitch-width axis (right) are shown. The two lower figures display the reductions mod 1 of both projections, on a circle for each. This results in a well-formed pitch-height scale (left) and a well-formed pitch-width scale (right). The arrows indicate the generation order. |
