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I'm with SIY. I like my tube amps but not for distortion. The definition of 'tube sound' seems to generally be mushy and distorted but a well designed amp that is playing within its reasonable power limits can sound clean and detailed.
Back in the day, the late Harvey Rosenberg of NYAL Futterman OTL fame (more salesman than engineer) had a dozen reasons why tubes were the beez kneez. Harmonics were the key, he argued. With this in mind, he was fond of citing a May 1973 JAES paper by Russell Hamm (Sear Sound Studios, NYC): Tubes v Transistors--Is There an Audible Difference?
I have a copy of the paper, which begins by stating how tube consoles typically sounded less harsh than SS, and had more subjective dynamic range, making the final recording more engaging. In order to find reasons, his team began a pretty rigorous preamplifier measurement protocol, comparing triode tubes (12AY7-12AX7-8628/7586 nuvistor), hybrid opamp (709-LM301), and transistors (2N3391A-2N5089-2N3117 silicon NPN). All were measured, and listened for distortion characteristics. Their conclusions were that the presence of harmonic distortion (espeically third) during overload sunk SS preamplifiers, from a sonic perspective. From the paper:
Overloading an operational amplifier produces such steeply rising edge harmonics that they become objectionable within a 5dB range. Transistors extend this overload range to about 10dB, and tubes within 20dB or more.
In addition, tube preamps 'sounded' subjectively louder due to their unique distortion characteristics, when overdriven. All the devices sounded good when not overdriven.