Hey so how much do different types of wood vary in the actual strength of building a stand? I have a stand that is being built right now out of Cumaru which is supposed to be one of the strongest woods out there and I was wondering if you had any way of calculating what needs to be used on a 75 gall stand.

Btw Rocket I love your design.
What are the dimensions of cumaru wood that are available to you? I need that info to answer your question, but if you use lumber that is 3/4" thick, you can build a stand for a standard 75 (48x18x21) using the design in this thread, using 1x4's (.75"x3.5") for the legs and the beams (use cheaper wood for the tacking strips). I assumed a weight for water (and rocks, sand, canopy) of 12 lbs/gallon, green wood (not kiln dried), a maximum span between legs of 41", and got a deflection of 0.1" for a cumaru 1x4.
Details:
I did a little digging and found that cumaru is about three times stronger than Ponderosa pine (yow!) In
this post, RocketEngineer gives the formula he uses to calculate the deflection of a beam under a load. It gives links to the places he looked up the "modulus of elasticity" (ME) for various species and types of wood. The deflection of a beam is inversely proportional to the ME of the wood, which means that as the ME goes up, the amount of deflection goes down. He uses 1.0 * 10^6 in his calculations, which is the ME of green Ponderosa pine. For reference, if a type of wood had a ME of tripple that (3 * 10^6) then it would deflect 1/3rd as much.
According to a
datasheet I found on Cumaru wood, it has an ME of about 23000 MPa when it is kiln dried (12% moisture). When it is green, that would be about 18730 MPa, which is about 2.71 * 10^6 lbf/in^2. In other words, a green Ponderosa pine beam deflects about 2.71 times farther than a green Cumaru beam of the same dimensions, under the same load. Wow, that's strong stuff. Dried Cumaru would have an ME of about 3 *10^c. It also has a much higher breaking point than pine, so it is strong, not just rigid.