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Breed two blues and a percent will be Splash. Breed a splash to a black and all offspring will be blue. Throw lavender in the mix and you'll be able to use the lavender/black tables plus the blue/black tables combined into one. In other words, you'll end up with a lot of birds with a lavender gene but they won't all be lavender. As I said, blue and lavender are completely different genes. I'm not well versed on lavender but I do know about blue. Basically lavender will never give you a splash, as splash is the presence of two blue genes
One blue gene = blue
two = splash
this is why a splash and a black will give you 100% blues. One has two copies, one has zero, so all the offspring will have one copy.
Lavender does not behave the same way.
Edit to add: With what you have, breed the lavender to the blues. Breed the blue offspring together or save out a blue roo for your blue hens (best way). The results of the son to the original blue hens and 25% will be blue, 25% splash, and 50% black, unless the blue you pick has the lavender recessive also. If so you could possibly get some lavenders as well, diluting the overall numbers of splash and blue you'll get. It's very possible to get splashes with what you have, just not the way you first envisioned. (edited once more for clarity)