Die Lehre von den Tonempfindungen als physiologische Grundlage für die Theorie der Musik¶
Helmholtz, H. v. (1863). Die Lehre von den Tonempfindungen als physiologische Grundlage für die Theorie der Musik. Friedrich Vieweg und Sohn.
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Domain-specific¶
- Consonance
- Its structural basis is acoustic: two tones whose frequencies stand in low-integer ratios (2:1 for the octave, 3:2 for the perfect fifth, 4:3 for the perfect fourth, 5:4 for the major third) have periodic beating patterns that align, allowing their upper partials to coincide and reinforce rather than to clash and produce roughness
This sourceHelmholtz's theory of consonance and dissonance, in which tonal relations are explained through coinciding upper partials and the beats (Schwebungen) that produce roughness.
Supported in partVerified against the work's full text
“Die Helmholtzsche Theorie der Konsonanz und Dissonanz”
- Its structural basis is acoustic: two tones whose frequencies stand in low-integer ratios (2:1 for the octave, 3:2 for the perfect fifth, 4:3 for the perfect fourth, 5:4 for the major third) have periodic beating patterns that align, allowing their upper partials to coincide and reinforce rather than to clash and produce roughness
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