Fig.4.

Internal timbres for scales with 3, 5, 7, 12 and 19 zones per octave.

The density of texture reflects the amplitude of the respective harmonics. The abstract positions of the harmonics are shown by the upper lines. The main formants for each timbre are indicated by the lower bars. The values listed are: the calculated number of scale degrees per octave (nu), robustness (tau) and regularity (R) of the timbre. Scales with nu=5 and nu=7 correspond to the well-known pentatonic and diatonic scales. They are modally labile. The “well-tempered” scale, with nu=12, is stable, as well as the scale with nu=19.

1