[elunned]

As mentioned, goshiki and goromo are originally the the product of asagi kohaku crosses. The basic fish should have asagi sumi and a kohaku pattern - but that covers an amazingly wide territory, since there are many kinds of asagi sumi. The sumi may or may not overlay the red. Some goshiki are goromo gone bad, since in goromo the sumi should only overlay the red (again there are different styles of goromo), and the white must be clear. If sumi emerges in the white, the goromo becomes a goshiki.

Both goromo and goshiki can also be bred by backcrossing to either parent variety. For the most consistent results, you would want to breed back to the same kohaku and asagi bloodlines. Muddling together two varieties of asagi sumi with multiple kohaku blood lines probably limits the odds for success. Brett is the person to ask, since he once had a fabulous female goshiki-goromo as part of his breeding stock.

I'm not clear on how soragoi fit into the picture - they are a blue-grey koi, but the color and scalation pattern are NOT the same as an asagi without hi (at least to my eyes). Some photos I've seen of goshiki seem to show more of the soragoi grey than an asagi sumi. All koi are color varieties when it comes to benching at a show, and some classes encompass a fairly broad range.

I love blue koi (and kohaku), but prefer goromo to many goshiki. Finding good asagi is difficult, goshiki and goromo are a little more accessible. (Or at least my standards for gishiki-goromo aren't as high, yet.)