| Figure 9. Two ways of localizing the tones of the Ionian mode relative to the Lydian mode. The configuration of arrows is exactly the same in both cases. The difference is in the choice of the coordinates. The left drawing uses the same fundamental domain as the Lydian mode. The coordinates for the finalis C and the origin F are (1, 0) and (0, 3), respectively. The right drawing shifts the lower left corner fundamental domain to the point (–1, –3). The coordinates for finalis C and the origin F are now (0, –3) and (–1, 0), respectively. |