As a follow-up to some of the replies you've already gotten, I decided to see if I could find any information in older sources which might be germane to your question. Some of the other responses seem to assume (possibly correctly) that you are actually looking to make quarter columns. If so, what follows will not be much help. But, I've decided to take you literally about a column with twelve flutes.
Peter Nicholson, in his _Practical Carpentry, Joinery, and Cabinet-Making_, c. 1826, indicates that columns. for architectural work, would generally have 24 flutes. This is obviously too many flutes for columns on the smaller scale of furniture work, though Nicholson doesn't really have much to say on that topic. Franz Sales Meyer, in his _Handbook of Ornament_, c. 1888, indicates that the number of flutes, for architectural work, varies from 18 to 24, but is reduced for smaller construction, including furniture. Though the number is seldom reduced to fewer than eight. So, the number you've chosen seems about right - especially for ease of lay-out resulting in a flute being centered at each quadrant of the column.
As to your questions about the profile of the flutes and the relative width of the flutes and fillets, Nicholson has some information which may be of some help. He illustrates flutes of this style as being approximately semi-circles, and suggests that the fillets can generally be about one-fifth as wide as the flutes.
In the case of a column with a diameter of 1 1/2 inches with twelve flutes, this works out to a flute and corresponding fillet of about 3/8" (in round numbers). In which case the flute would be 5/16" wide, and the corresponding fillet 1/16". I've taken the liberty of drawing the results up in a quick sketch so that you can judge for yourself whether you like the results or not. I'm tempted to say more, but think it better to see what discussion may follow.
Hope this helps a little.
Don McConnell
Eureka Springs, AR