Thank you...that was where I was going with this. I do not know if the audibility of different orders of harmonics are harder to hear or not...but if it IS the case, then clearly, this ought to be factored into designing and evaluating an amp (among many other things).
It is harder to hear low order:
D.E.L. Shorter from the BBC in 1950 came up with the weighting of N*N/4, where N is the order of the harmonic. That means the harmonic has a squared effect.
However, later investigators found that was not drastic enough.
From CHeever:
"For rising S.P.L.’s the ear creates a monotonically reduced steepness pattern. We cannot disregard this function of the ear. For example, if the ear is presented with an auxiliary sound distorted with a set of harmonics that are consonant with the aural harmonics at 100 dBA but the actual sound pressure level of the fundamental is say 10 or 100 times (10 or 20dB) less, it will be perceived distorted. The Eq. 2-1, below, I derived myself from the Olson data takes this into account and application rationale follow. It is a mathematical expression relating the percentage of the fundamental S.P.L. of the ears self distortion, per harmonic, relative to the sound field S.P.L.
1.35*10(dBA) %Fn = 22
Eq. 2-1 Individual Aural Harmonics
Where: %Fn= Aural Harmonic Amplitude in % of Fundamental for the nth harmonic.
dBA = Decibels “A” weighted Sound Pressure Level resultant from the Fundamental.
n = The harmonic number. f = nFf where f is frequency, Ff= fundamental frequency
The power of the exponentiation may seem high but the fit is excellent, shown following in Fig. 2-7. The solid data points are the data taken directly from the Olson figure reproduced earlier as Fig. 2-2. The hollow data points are calculated from Eq. 2-1. Fig. 2-7 Showing fit of Eq. 2-1 versus Olson aural harmonic test data[28]. For the highest SPL's a compression of the 2nd aural harmonic is not taken account for. For normal music levels of 90dBA peak the fit is very good to 0.0001% of fundamental, or about 30dBA, which is below the noise floor of a normal listening environment. An ideal amplifier would contain no harmonics that do not conform to this aural harmonic envelope. The relative deviation between an amplifiers distortion harmonics and the aural harmonics, per harmonic, must better quantify the subjective sound quality of an amplifier. In reviewing many different amplifiers I found that their harmonic signature did not follow the aural harmonic envelope. Universally the distortion has high order harmonics without the next lower order harmonics’ complementary level. Contrary to the history and evolution in audio design, high order harmonics, if they appear, MUST be joined by a family of lower order harmonics that follow the aural harmonic envelope. In calculating the magnitude of an amplifiers deviation for the aural harmonic envelope I propose that each harmonics deviation be on a relative basis (% of reading, referenced to the level of the nth aural harmonic derived from Eq. 2-1), rather than on the absolute percentage referenced to the fundamentals level. "