wootz.
Thank you so much. I will try again.
I have a question. What is the BESS result after you have used the Honing wheel?
That's an easy question, as I keep BESS records of all sharpening sessions: from 75 to 110.
Just mind that you should NOT use the leather wheel WITH the Tormek honing compound after SJ, as the abrasive particles are of the same 2-3 micron size in both - that is why Tormek doesn't recommend that.
When I have to do final honing on the leather wheel after SJ, I do it with 0.5 micron diamond spray, and now and then condition the leather with oil-based CHROMOX, which is pure Chromium Oxide of 0.5 micron in size (so I actually have a mix of them on the wheel).
Note that Green Rouge is not the same as Chromium Oxide, Green Rouge has varying abrasive particles 0.5 to 3 micron in size, and gives you no advantage using after SJ.
EDIT:
The benefit of commenting is that having answered someone's question, I understand things better for myself.
This time I realized I've never tried a combination of 0.25 micron diamond spray and CHROMOX on the Tormek leather wheel.
Tried this on that ATS-34 knife, and after 4 alternating passes got BESS score 60.
From a hair violin sign, the edge has improved to splitting the hair, and even whittling it on one portion of the edge.
The truth about diamond sprays is that they are graded by average size, and the 0.5 micron spray will certainly have larger than that particles among.
I've known that for long, but only today it dawned upon me that if I want a true 0.5 micron honing mix, I should be using 0.25 micron diamond spray.
Why 0.5? - because the abrasive grit size and the edge apex width you get with that abrasive are related by about an order of magnitude, i.e. grit #1000 (15 micron) gives you about 1 micron edge, and honing/stropping with a 0.5 micron abrasive refines your edge to 0.1 - 0.05 micron, i.e. to a DE razor range.
And a final note: Neither woodworkers, nor straight razor users like the gritty feeling the diamonds give to the edge, but this is that toothy trait that is appreciated in knives.