Atmasphere, there is no way that well-designed solid state amplifiers "tend to have these higher odd orders all the time. This is one of the reasons they tend to sound hard or bright. Now its important to note that these harmonics do not have to be very distorted, usually 100th of a percent are audible, simply because these harmonics are so important to the human ear." Total harmonic distortion, meaning any and all spurious frequencies away from the fundamental, is normally at about -70db or better, usually better, and there's no way that such low-level distortions could possibly cause amps to sound hard and bright.
The most likely cause of hard and bright sound are no-so-good speakers, that have too much upper midrange energy when driven by an amp with a low output impedance and flat frequency response. Connect a tube amp with a rising output impedance in the same frequency range, which will cause a roll-off in the overall response, and voila, hardness suddenly gone.
The most likely cause of hard and bright sound are no-so-good speakers, that have too much upper midrange energy when driven by an amp with a low output impedance and flat frequency response. Connect a tube amp with a rising output impedance in the same frequency range, which will cause a roll-off in the overall response, and voila, hardness suddenly gone.