Bern - In Koi Kichi, Peter Waddington says that goshiki are from kohaku and asagi crosses but that Matsunosuke developed goromo from kohaku bloodlines. The two geneology charts I have on my computer are the ones posted by JR on the NI board. The older one is from Masamoto Kataoka in 1950-1960; unfortunately the varieties next to the spine are hard to read. Both charts show kohaku as offshoots of narumi asagi and goromo as being a parallel offshoot to the goromo (goshiki may be somewhat earlier). I think I've seen other charts or references that say kohaku were developed from hi-goi, so I'm not sure what is correct.
I'm fairly new to goromo-gishiki appreciation so would love to learn more. My understanding is that white skin is what distinguishes goromo from goshiki, and to me that refinement is what makes goromo more attractive. I didn't know that there were white-skinned goshiki. (I don't care for the neon punch of some of the darker goshiki - the red is impressive, but not as appealing as persimon overlaid with blue robing.)
Is the Miya you mention part of Miyatori Koi Farm? I found a Dutch (I think) website that talks about them.
http://www.nishikigoinederland.nl/miyatora1.html I couldn't understand much, but it mentions a new variety, I think related to goshiki, called Shunrun. What are they?