A 34-cent tuning difference changes a chord’s identity and residue pitch

Evidence

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 non-harmonic sounds, such as bells or chime bars, whose components are not exact harmonics (integer multipliers) of the resulting f0. — David Howard, Jamie Angus, coustics and Psychoacoustics, 864 (#corroborates, via linked claim)

Categorization

• corroborated: 2 independent passages support this claim
• XREF: connects to: Whether combination tones are musical depends on the tuning system; Pitch perception depends on harmonics being integer multiples of the fundamental — David Howard, Jamie Angus, coustics and Psychoacoustics, 864; Equal temperament creates tuning conflicts for mutation stops

Related

• Pitch perception depends on harmonics being integer multiples of the fundamental (similarity 0.86)
• Accentuating individual harmonics makes them perceptually break away as separate notes (similarity 0.83)
• Whether combination tones are musical depends on the tuning system (similarity 0.83)
• Tuning systems determine whether auditory combination tones align with harmonic series (similarity 0.82)
• Rising F0 lowers resolved harmonic interactions and worsens pitch extraction (similarity 0.81)
• A chorus can have definite pitch even when every singer is slightly off pitch (similarity 0.80)
• A440 tuning and equal temperament dominate modern keyboards but not historical or organ practice (similarity 0.80)
• Chord dissonance rises as harmonic number increases and interval shrinks (similarity 0.80)
• Pitch perception derives from the highest common factor of sound components (similarity 0.80)
• Complex-tone pitch tracks the spectral pitch of lower components (similarity 0.79)
• The same musical interval’s dissonance changes with pitch register (similarity 0.79)
• Pitch of harmonic sounds is determined by the fundamental frequency. (similarity 0.79)
• Instrument tuning relies on high harmonics because pitch changes there are easier to hear (similarity 0.79)
• Musical intervals trace directly to harmonic-series frequency ratios (similarity 0.79)
• Combination tones exist below both source tones and vary in audibility (similarity 0.78)

Broader Connections

• Whether combination tones are musical depends on the tuning system #qualifies (0.75)
• Pitch perception depends on harmonics being integer multiples of the fundamental #corroborates (0.75) — David Howard, Jamie Angus, coustics and Psychoacoustics, 864