The dependency of timbre on fundamental frequency

Area of Science:

• Psychoacoustics
• Music Perception
• Auditory Neuroscience

Background:

• Timbre, a key characteristic of musical sound, is influenced by various acoustic properties.
• The relationship between timbre and fundamental frequency (F0) in musical instruments remains an area of ongoing research.

Purpose of the Study:

• To investigate the dependency of musical instrument timbre perception on fundamental frequency (F0).
• To determine if timbre differences are perceived independently of pitch differences across varying F0.
• To assess the stability of timbre perception across different F0 values.

Main Methods:

• Three experiments involving listener judgments of timbre dissimilarity among 12 musical instruments.
• Stimuli were presented with controlled F0, duration, and loudness, with F0 varied across sessions and conditions.
• Multidimensional scaling (MDS) was used to analyze dissimilarity matrices and model timbre spaces.

Main Results:

• Dissimilarity matrices were consistent across different F0 values, indicating stable relative timbre perception.
• Listeners could effectively ignore pitch differences to rate timbre dissimilarity, even when F0 varied.
• MDS solutions revealed minimal variation in timbre spaces across experimental conditions and F0 levels.

Conclusions:

• Timbre perception is largely independent of pitch, particularly for F0 differences within an octave.
• Timbre differences can be reliably measured and perceived even when fundamental frequencies differ.
• These findings support the stability of timbre as a perceptual attribute across varying pitch contexts.