I am sorry but you lost me here, aren't the frequencies of the harmonics a strict function of the fundamental pitch? Or are you talking about amplitudes of the individual harmonics. Apologies if I am missing something hereThe pitch of the fundamental of a given note is one thing. The frequency of its harmonics is something else. A really thorough test of a neck (or saxophone for that matter) is to get a tuner that shows the pitch of the fundamental and the closest harmonics and check the "harmonicity" of the body and neck tube.