Hi Lewm,
thanks for sharing the calculations.
1) Fidelity Research XF-1 type M, is 1:31.6 xfactor i.e. 30dB.
2) That Windfeld is a bit 'funny' since with no SUT it seems to like at least 500 to 1k ohm load and with some phono-pre's it's even better with 47k!
(I and also some reviewers came to this same finding)
3) I use PRIMARY loading, because if you get it right, it sounds more open --- using secondary loading is something else since as you pointed out the || of your sec. load with the 47k pre-input imp / by the square of (in this case) 31.6 is what the cart sees. Therefore with NO sec. loading the cart sees 47k / 31.6^2 = 47 ohm, didn't I go into that alread?
So any sec. loading now goes || with that 47ohm 'natural-impedance'(I'm neglecting the primary DCR (in the XF-1 case only 1.2 ohms which is also part of the deal)
PRIMARY loading with 100 ohm makes (in this case) the PW cart go beserk, higher like 250, 500, etc is also unworkable.
So you check the minimum spec. loading (usually 2.5 x DCR = 4ohm DCR x 2.5 = 10ohm, it happens to be min. spec by Ortofon, right)
What's left is to get a 1:1 impedance match to this! i.e. 47x13/(47+13)=10.18ohm ---- and as it turns out this sounds the best of the 1001 different versions I've tested.
So it seems to me, that you are working with loading that is non SUT relevant --- the big difference is that with an impedance matched SUT, that cart is working in 'current mode' (not 'voltage mode' as in a non-SUT set-up) and THAT changes EVERYTHING as I had to learn. You can not, I repeat NOT, compare 'current mode' to the 'normal'-voltage mode- loading i.e. with out SUT. Even when using secondary loading -current mode rules?- apply, just that we are now looking at ~ 18k ohm on the seconary producing [47k*18k / (47k+18k)]/ 31.6^2 = 14.1 ohm what the cart sees. Going down to e.g. 13k to make the cart see ~ 10ohm makes it to bright and brittle --- so not all things are quite equal between primary and secondary SUT loading either.
Also using secondary 18k ALSO damps the secondary SUT side --- not necessarily what is best, depending on the circumstances.
I actually just wanted to figure out what bandwidth I can expect by asking an apparently simple question about INDUCTANCE of the PW cart (not impedance as you rightly pointed out, I can measure DCR, but NOT uH!) So... I am still guessing we are looking at ~ 10uH and that gives me ~ 23kHz bandwidth.
Thank you for careing,
Axel