My 2c.
John, your graphics are very informative. This thread has been particularly interesting to me, since I had the gut feeling that when people talked about MOSFET diodes they were not talking about the same thing necessarily. Now that it has been properly clarified, I think it is in order to be specific when refering to the subject:
So, a MOSFET-AS-DIODE produces a softer knee with a higher threshold, as opposed to the MOSFET-BODY-DIODE, which is essentially another silicon diode, or not ?...
...I've always had the feeling that the IRF520 MOSFETS sounded better/different in the Shaka 3 because said MOSFETs have a very large Drain to Source intrinsic CAPACITOR in parallel with the integral body diode, acting as some sort of filtering. In fact, this capacitance is in the order of 1000pF IIRC, thus, very near to what you may find in parallel with the clipping diodes of a Ross distortion, liquid drive and others. I think this explains why it sounds different/better than a standard pair of silicon diodes and was preferred by Aron. Moreover, the addition of the Ge diodes in this case do add some additional softness to the sound. Remember that some poeple has reported good results in the TS workalikes when using mixed silicon and germanium diodes in series.
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Now regarding different unexplored diode types:
a. Has anybody experimented with "lambda" diodes? I've seen one schematic (Pearl Overdrive?) that used two back-to-back diodes in the feedback loop of an OpAmp. One os them said "lambda diode" and had a strange part number (like MA150 or something).
b. What about tunnel diodes (very nonlinear!) I haven't been able to get some, but there would be something new in there.