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Yes, there is a way to increase the chance of a Shiny ; chaining.

In terms of breeding, I've heard that you can't increase the chance. I suspect that's because non-average breeding values (inherited nature + IVs) are simply ones generated after the personality value has been generated, meaning they overwrite whatever values came from the personality value. This would mean that whether or not the pokemon is shiny is determined before inherited traits are determined, which means they don't affect the rate.

So, I'm slowly progressing. when I get the HM fly to use I'll head back and catch some more pokemon that I've missed.
Should do a lot of leveling up with my box, most of the pokemon in my box have evolutionary stages that merely require leveling up. and I'm all about filling my Dex.

So, for that, Is there a Bold or calm Feebas egg out there with relatively good IV points? (Rest + Sleep Talk Milotic) getting it to evolve isn't that hard, unless they changed the poffin making skills, i tend to get around 18 per poffin. (sometimes a little higher, sometimes a little lower, but usually around 1 cool

Up to you.
Much later I might try it myself, but the results will be sporadic while I breed the high IV stats.

So, I'm thinking on a sixth, but, picking one is pretty, tricky. I've got all the major things covered to my knowledge.
I don't follow the single status rule, in case you weren't aware of. Most of my friends just play super casual. (no EV or IV, sometimes nature if they get lucky, and they do whatever. (we all follow the no legend and no uber clause. (usually, sometimes there is a stray uber in there. Which, Is handled by asking if they have a pokemon from the Uber list in their team. At which point I'd swap in Wobbuffet for number six, but. none of this team has been built yet, and I just want to keep it stable in a box for battling only.

Already have the EV/EP values planned. the IV values though I'll try to get in the upper 20's (you know, above 25) unless people have suggestions and have trades) but that last pokemon has me baffled, I can't really think of a pkemon that can accurately fill the last spot without giving my team some glaring weaknesses or increase the inefficiency against one of the types that I'm going to have some trouble dealing with already.

If you put Spore instead of Seed bomb on Breloom, how will you hit teh GHOST types?