Highest common factor of partials encodes perceived pitch

Evidence

The third method will give an appropriate f0 for (i) sounds with missing f0 components (see Table 3.3 and ignore the f0 row), (ii) sounds with odd harmonic components only (see Table 3.3 and ignore the rows for the even harmonics) and (iii) sounds with odd harmonic components only with a missing f0 component (see Table 3.3 and ignore the rows for f0 and the even harmonics). In each case, the highest common factor of the components is f0. This method also provides a basis for understanding how a pitch is perceived for nonharmonic sounds, such as bells or chime bars, whose components are not exact harmonics (integer multipliers) of the resulting f0. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 857

Categorization

• QUESTION: How does the highest-common-factor metric generalize to bells and chime bars whose partials are only approximate harmonics?
• XREF: connects to: Pitch perception derives from the highest common factor of sound components; Adding higher partials can drop the perceived pitch of a tone — Eric J. Heller, Why You Hear What You Hear- An…, 2067; Pitch can be perceived even when no partial exists at that frequency — Eric J. Heller, Why You Hear What You Hear- An…, 2031 (+7 more)

Broader Connections

• Pitch perception derives from the highest common factor of sound components #corroborates (0.98)
• Perceived pitch persists even when the matching frequency partial is absent #corroborates (0.90) — Eric J. Heller, Why You Hear What You Hear- An…, 2064
• Pitch can be perceived even when no partial exists at that frequency #corroborates (0.85) — Eric J. Heller, Why You Hear What You Hear- An…, 2031
• Adding higher partials can drop the perceived pitch of a tone #responds-to (0.80) — Eric J. Heller, Why You Hear What You Hear- An…, 2067
• Boosting an upper partial can shift perceived pitch toward that partial’s frequency. #responds-to (0.80) — Eric J. Heller, Why You Hear What You Hear- An…, 2087
• Pitch perception corresponds to peaks in the autocorrelation function #responds-to (0.80) — Eric J. Heller, Why You Hear What You Hear- An…, 2033
• Pitch perception involves both spectral and temporal representations of sound #expands (0.80) — Dijk, Pim van, Physiology, Psychoacoustics and…, 4638
• Shifting harmonic partials upward raises perceived pitch despite unchanged envelope modulation #complicates (0.80) — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 1119
• Inharmonic tone complexes can yield multiple or virtual perceived pitches #complicates (0.75)
• Physiological coding of frequency does not by itself explain perceived pitch. #complicates (0.70) — Jennifer Lentz, Psychoacoustics- Perception of Normal…, 1196