How many fish can live in my tank?

Oh that is great! ^.^

Would 2 or 3 comets with my Ryukin be okay for a75 gal? Or is that too many?
 
If the comets start at a small to moderate size, I think you'd be fine. Suddenly adding mature comets with a ryukin might be asking for problems. Raising them together from a smaller size would help the ryukin learn to deal with the larger tankmates.

The comets will eventually become large enough to push the limits of a 75G, but even large examples should go at least 2-3 years before they are so big that they need relocating. Others might never need to be moved, however it would be nice if you knew there was a pond they could move into if you decide they have become cramped.
 
Oh no hehehe..there isn't any places around here that sell mature comets, I would have to start them off young, I think their may be one place that has them at about six inches but they won't sale them to me. Should 3 comets plus my Ryukin be a small enough group for my tank?

My grandparents have a fairly large pond, well over 1000+ gallons, the only thing is that he has catfish in it, would the comets be able to live in there along with the catfish? From what I've seen they can (or atleast with Koi)

http://www.aquarticles.com/images/Swabys%20store/p-15%20Koi.jpg
 
Those four fish should work, as long as you're ok with the size the comets will become. If it were me, I'd consider keeping more fancies in the mix, such as more ryukins or fantails along with the comet you like. The single tails will definitely come to dominate a 75G tank. Regarding the pond, goldfish and catfish should have no problem together.

Just for size comparison purposes, this is most of my clan:

Left to right, ages estimated: (2-year comet, 2-year shubunkin, 2-year ryukin, 3-year common, 3-year comet, 1-year ryukin)
group_01.jpg
 
Wow... they are so pretty O.O

Well for sure I want one or two comets and then my Ryukin. I was looking at fantails but I couldn't get any good pictures and they look a lot like my Ryukin (I'm thinking they got mislabeled.)

If I have 2x Ryukin and 2x Comets, what else could I slip into the tank?
 
My vote would be dojo loaches. They are usually brown, but can be found in a "golden" variety on occasion. They are compatible with goldfish, and have tons of personality. The whole "worm thing" puts some people off though. They like to be in groups, so I'd suggest at least 2 or 3. They do get to 8-10" at maturity, but tend not to crowd the tank so much because they spend so much time on the bottom, usually hiding in or behind something.

I personally have a common pleco with my goldies, but they have ridiculous size potential and have been known to harm goldfish.

plec_01.jpg
 
That's probably about the limit. The Dojos will add to the bioload, despite sometimes being used as "clean-up" fish. More than that, and you'll probably find your nitrates out of control (like mine).
 
How would I control that? Chemicals? More water changes? I do water changes like once a week.
 
Nitrates are the final product of the biological cycle that processes fish waste. It is relatively harmless (compared to the earlier stages, ammonia and nitrite), but should be kept under 40ppm in the long term. You'll want to test for it fairly regularly, at least until you can predict how fast it will accumulate. It can be managed by:
- Keeping fewer fish and/or a bigger tank
- Larger or more frequent water changes
- Feeding less / preventing uneaten food from sitting around
- Nitrate "absorber" products that can be used in filters (temporary, as these will load up and lose effectiveness, but can usually be cleaned and used again)
- Live aquarium plants (something I'm trying with mixed success. Keeping plants is a whole different balancing act in an aquarium)
- Anaerobic denitrification filters (commercial products very expensive, home built versions tend to be iffy. Mine didn't work.)
 
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