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how about some numbers

>>And as if that's not bad enough, the plate curves show significant non-linearity compared to a 6SL7. I don't know why this argument persists, year after year. It's all right there in black and white.>>

Yes, it is in black and white. Let's take our data from the Sylvania Technical Manual (12th Ed.)
Using the same B+ and lowest distortion operating point given, the output vs. distortion for each type is:

6SL7
10.2V at 0.7%

12AX7
7.1V at 0.2%

Since distortion is proportional to signal voltage, we can reduce the 6SL7's output voltage to 7.1 and its distortion by the same ratio - in order to do a direct comparison.

7.1/10.2=0.696
0.696*0.7=0.487

So at 7.1V output, the 6SL7 will have roughly 0.48% distortion compared to 0.2% for the 12AX7. Clearly the 12AX7 is more linear, given the same B+, and held within certain input limits.

Joel


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