I also find the topic of phase fascinating, including the auditory neurology and learning that helps us hear, as I have expounded on this thread.
There are some confusing terms. Time alignment is a great term, but was trademarked by Ed Long around 1980, which is weird. Time coincident means the same thing, and I recommend it. Time coherence merges two concepts, leading to confusion. Also, Atkinson and others have hijacked "coherence" to include the smooth phase transitions in non-coincident systems with large phase shift - as long as the phase transitions are smooth, some call it phase coherent. Thiel, Vandersteen and many physicists reserve the term "coherence" to mean that the phase response remains minimum, ie. it does not depart from flat. A good measure is "excess phase" approaching zero. When terminology is scrambled, concepts are harder to define.
There are some confusing terms. Time alignment is a great term, but was trademarked by Ed Long around 1980, which is weird. Time coincident means the same thing, and I recommend it. Time coherence merges two concepts, leading to confusion. Also, Atkinson and others have hijacked "coherence" to include the smooth phase transitions in non-coincident systems with large phase shift - as long as the phase transitions are smooth, some call it phase coherent. Thiel, Vandersteen and many physicists reserve the term "coherence" to mean that the phase response remains minimum, ie. it does not depart from flat. A good measure is "excess phase" approaching zero. When terminology is scrambled, concepts are harder to define.