The cochlea’s logarithmic place analysis explains why musical intervals sound the same across registers.
Evidence
A doubling (or halving) of a value anywhere on a logarithmic frequency scale is equivalent perceptually to a raising (or lowering) by a musical inter val of one octave, and multiplying by 32 (or by 23 ) is equivalent perceptu ally to a raising (or lowering) by a musical interval of a perfect fifth, and so on. We perceive a given musical interval (octave, perfect fifth, perfect fourth, major third, etc.) as being similar no matter where in the frequency range it occurs. For example, a two-note chord a major sixth apart whether played on two double basses or two flutes gives a similar perception of the musical interval. In this way, the logarithmic nature of the place analysis mechanism provides a basis for understanding the nature of our perception of musical intervals and of musical pitch. — David Howard, Jamie Angus, coustics and Psychoacoustics, 823
Categorization
- DEFINE: Lays out exactly how frequency multiplication maps to perceived interval on the log place-analysis scale.
- ADDENDUM: Relevant to the ‘Grafting & Growth’ article only in the loose sense of structures as infrastructure; more centrally it grounds the reader’s core psychoacoustics goal.
- corroborated: 2 independent passages support this claim — David Howard, Jamie Angus, coustics and Psychoacoustics, 823
- XREF: connects to: Logarithmic hearing means equal decibel steps need larger absolute pressure differences; The cent divides the octave into equal logarithmic frequency steps; Musical scales are exponential, so changing the octave needs logarithmic scaling (+8 more)
Broader Connections
- Pitch may be jointly coded by temporal patterns and their cochlear location
#expands(0.85) — Jennifer Lentz, Psychoacoustics- Perception of Normal…, 1338 - Hearing analyzes pitch through both place and timing mechanisms
#expands(0.80) - The ear decomposes complex sounds into summed place responses
#expands(0.80) - Frequency-domain analysis mirrors how the human ear processes sound
#corroborates(0.78) — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 377 - Pitch perception is encoded by the timing of neural firing in the cochlea
#qualifies(0.75) — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 1655