C. Relative Phase Sensitivity and Just Noticeable Differences (JNDs)
The auditory system is sensitive to relative phase differences between frequency components, particularly when these differences alter the signal's temporal envelope or fine structure.17 Experiments using harmonic complex tones have shown that changing the phase relationships between harmonics, even while keeping the magnitude spectrum constant, can result in perceptible changes in timbre.59 For instance, aligning harmonics in cosine phase versus sine phase, or alternating phases, can produce different waveform shapes and potentially different neural firing patterns, leading to audible differences.59
The Just Noticeable Difference (JND) for phase changes, however, is not a single value. It depends strongly on the specific signal characteristics (e.g., fundamental frequency, harmonic content, presence of transients), the frequency range being considered, the magnitude and nature of the phase alteration, and the listening conditions.59 Furthermore, masking effects are highly relevant: phase shifts that might be detectable in a simple, isolated tone can be rendered inaudible (masked) by the presence of other frequency components in a complex sound like music.55