I refer you to Reference Data for Radio Engineers, RF Radio Concepts, Vacuum Tube Transmission Systems, or any one of a number of other texts describing the series. The factorial terms cause the distortion to decrease more rapidly than an exponential series (I believe the terms are in the denominator). We had to derive it when I was in school (decades ago); I can look it up again but do not have it memorized, just the results. I have presented it elsewhere, not sure I ever put the equations here on WBF, but it can be found many other places. Been a long time since I did a Taylor series expansion (or McLaurin? Way too long...) The actual distortion depends upon many other factors, natch.
The accuracy of the transformer, which includes the usual nonlinear B-H curves and hysteresis, is a separate issue, and I already noted that it is (IMO) the leading cause of distortion in power amps. I am familiar with YIG and other oscillators though that is not my field of expertise. IIRC, part of the tuning issue is the characteristics of the amp, not just the transformer, as their capacitance and gain is nonlinearly dependent upon voltage. The hysteresis of transformers is well-known (and quite annoying).
There are places for tubes in the world, just as there are for SS devices.
I said my preamp had very low distortion, and I am already on record numerous times stating I can appreciate the sound of a tube amp even knowing it is inaccurate. Not sure why you thought I was arguing the point, nor why the rant?
The accuracy of the transformer, which includes the usual nonlinear B-H curves and hysteresis, is a separate issue, and I already noted that it is (IMO) the leading cause of distortion in power amps. I am familiar with YIG and other oscillators though that is not my field of expertise. IIRC, part of the tuning issue is the characteristics of the amp, not just the transformer, as their capacitance and gain is nonlinearly dependent upon voltage. The hysteresis of transformers is well-known (and quite annoying).
There are places for tubes in the world, just as there are for SS devices.
I said my preamp had very low distortion, and I am already on record numerous times stating I can appreciate the sound of a tube amp even knowing it is inaccurate. Not sure why you thought I was arguing the point, nor why the rant?