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Research Article

The Science of Harmony: A Psychophysical Basis for Perceptual Tensions and Resolutions in Music

Table 2

Proposed and existing correlates of stationary harmony.

MethodDyadsTriads
r (p)r (p)

(Proposed) Equal Temperament0.922 (0.0000)0.907 (0.0000)
Log Periodicity Just [43]0.982 (0.0000)0.831 (0.0002)
Rel. Periodicity Just [43]0.982 (0.0000)0.846 (0.0001)
Log Periodicity Rational [43]0.936 (0.0000)0.813 (0.0004)
Rel. Periodicity Rational [43]0.936 (0.0000)0.808 (0.0004)
Rel. Periodicity Pythagorean [43]0.817 (0.0003)-
Rel. Periodicity Kirnberger III [43]0.796 (0.0006)-
measure [62]0.886 (0.0000)-
Consonance Raw Value / Degree0.978 (0.0000)0.826 (0.0016)
Dual Process [13]-0.791 (0.0006)
Percentage Similarity [53]0.977 (0.0000)0.802 (0.0005)
Instability [18]-0.698 (0.0040)
Tension [18]-0.599 (0.0153)
Sonance Factor0.982 (0.0000)0.434 (0.0692)
Generalized Coincidence [63]0.841 (0.0002)-
Consonance Value0.940 (0.0000)0.755 (0.0014)
Dissonance Curve [21]0.905 (0.0000)0.723 (0.0026)
Pure Tonality [22]0.938 (0.0000)0.675 (0.0162)
Complex Tonality [22]0.738 (0.0020)-
Roughness [23]0.967 (0.0000)0.352 (0.1193)
Sensory Dissonance [24, 25]-0.607 (0.0139)
Critical Bandwidth [12]-0.570 (0.0210)
Temporal Dissonance [8]-0.503 (0.0399)
Gradus Suavitatis#0.941 (0.0000)0.690 (0.0045)

Raw Value was used for Dyads and Degree was used for Triads.
Fotlyn, 2012, as cited in [43]
as cited in [43]
Dyads from [64] and Triads from Hofmann-Engl, 2004, both as cited in [43]
Brefeld, 2005, as cited in [43]
Dyads from [23] and Triads from Hutchinson & Knopoff, 1979, both as cited in [43]
#Euler, 1739, as cited in [43]

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