asserts that ‘sensory consonance...dominates the evaluation of single isolated
chords...whereas harmony does not enter into the subject’s response’ (p. 282).^13
With respect to terminology, we adhere in this discussion to the simple distinction
between the vertical and horizontal dimensions of harmony. We restrict use of the terms
129
Musical
(harmonic)
intervals
Acoustic waveform Autocorrelation
I
J
A E
B F
C G K
D H L
0
Perfect 5th
3/2
Tritone
45/32
Perfect 4th
4/3
Minor 2nd
16/15
10 20 30 40 50 010 20304050
Amplitude
(Arbitrary units)
(Amplitude)
2
Time (ms) Time delay (ms)
Figure 9.1Acoustic representations of musical (harmonic) intervals in the time domain.Left column(A–D):
Musical interval stimuli depicted in standard notation (G clef ) below the name of each interval (e.g. minor
second) and the F 0 ratio of its notes (16/15).Middle column(E–H): Acoustic waveforms of each interval.Right
column(I–L): Autocorrelations of the acoustic waveforms.Arrowsindicate the peaks corresponding to the period
of each interval’s ‘missing’F 0.