My simple answer: x factor 14, see below.
I’m still new to the world of MC and SUT, others will correct me if wrong. I learned a great deal here after I started this thread about SUT for .3mv; 10 ohm resistance
https://forum.audiogon.com/discussions/which-sut-for-3mv-10-ohms-mc-cartridge-into-3mv-mm-input-sens... My conclusion was to choose a SUT with a few variations, options, perhaps factory retrofit, to solve both current and future cartridges. Can CARY factory modify yours? In a way you can revert or modify in the future?
btw, the impedance settings on the front of a SUT are not the same as the resultant output, it doesn’t know what your cartridge is sending or it’s coil’s impedance.
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My choice was AT33PTG/2, output .3mv; 10 ohm impedance. Your Hana ML seems quite similar .4mv out, 7 ohm impedance, I like it’s separation and tight channel balance, that’s why I picked mine.
But, the combo of a bit stronger signal with lower coil impedance can be problematic. You need to find the highest signal strength you can work with (highest x factor you can use to control the impedance that will be shown to the phono’s 47k.
The simple formula for impedance is to use 10x your coils impedance as a general goal for the amount to show to you preamp’s 47k input (yours: 7 x 10 = 70, go up from there). OEM simply says greater than 100 ohms.
Thus you want your phono input 47k divided by x factor squared (xfs) to be up/dn from 70. 47k divided by 70 is xfs of 670, that’s a high x factor of 26.
Problem: .4mv x xf 26 = 10.4mv, much too high signal.
if x factor 16, then signal = 6.4mv (some loss, still high). Now, xfs = 256, 47k divided by 256 = 183 (much closer to 70).
if xf 14: signal 5.6mv; 47k div by xfs 198 = 240 ohms to phono perhaps your best choice.
if xfactor 12, signal then 4.8 before a bit of loss, 47k divided by xfs 144 = 326 ohms, ’more above’ 70 ohm guidance, but within OEM guidance,