There is a book regarding the large flowered cattleya species and it says there is one for each month- the problem with thinking we can have one every month (if you want to grow all species) is that they do not all require the same temperatures, light, etc.
Also, some of them are very hard to find in this country. It took me 3 months to find a blooming eldorado and I paid a very hefty sum of money for this plant (totally worth it though). Since this species is a hot grower, I cannot keep it with the intermediate cattleyas like mossiae etc.
so- I have built this orchid a hot enclosure where it will never be exposed to temperatures below 70 degrees.
However- if you are not after cattleya species specifically, you can grow hybrids which come in all kinds of sizes, colors, and many bloom 2x per year, whereas a lot of the species only bloom once per year. Anyway, off the top of my head, mossiae blooms for me in march, maxima blooms November and sometimes in march, purpurata bloomed in spring and fall for me.
Also, a lot of hybrids have great fragrance (even a lot of the compact almost mini cattleyas) and are easier to grow and more tolerant of varying growing conditions which is why they are so popular.
Right now I have a c. Mari's magic "h & r" that is only about 6 inches high blooming and it has pretty pink flares and yellow splotches and it smells great. The fragrance is not as powerful as the eldorado which I could smell down the hall from my growing area, but it's definitely really good and I don't mind carrying it around the house with me while smelling it and watching tv. I could never do this with the eldorado because it's a giant mounted monster, but you get the idea. The more mini catts I have, the more I want to get rid of some of my species that are space hogs, but I am a purist and believe that the species need to be preserved.
Sorry I got a bit off topic there.