Group delay of modulation is the phase representation most relevant to hearing

Evidence

Group delay, as the frequency derivative of the phase, describes the delay of the modulation, such as the amplitude envelope, of a frequency component. From the point of view of the auditory system, the group delay is the most relevant of these phase representations. — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 383

Categorization

• DEFINE: Distinguishes group delay from phase delay — both terms get clarified, with the auditory-relevance ranking stated.