Consider Jon's diamond set. I have only had it for a few weeks but it has made my sharpening life easier and more precise.
King 800, 1200, Suehiro 5k, and imanichi 8k on perma soak here. Always ready to go to work. These seem to be better for the time in the pool.
I hope you're sharpening single bevels with that 13k?
Im thinking 3 grits 1200, 5-6k and 13k for white paper steel. 1200/13000 combo sigma select II and something thats 5k-6k, the gesshin is out of my budget.
I can tell you the pros and cons to all of these. For example, ichimonji is the only knife shop I can recommend in doguyasuji. But only the old man himself