So, I collected some statistics on the color ranges. There's more variation in all of them, even the plain sin interpolation, than you can tell from the color bars. I should say that what varies is the "value" (stupid name), not the "saturation," because in HSV the former gives the range from black to full color, whereas saturation is just about the range from white to full color, and I don't have tints -- not only because of my own color taste, I remembered, but because most projects are done against a white stage, and so shades stand out much more than tints.
Anyway, I'm attaching three spreadsheets, I hope. Each row is R,G,B,H,S,V for one color slot out of 300. (The actual scale will go to 100, but fractional colors will be allowed. Since the colors are computed by interpolation, there is in principle no limit to the precision.) Because of the weirdness about brown and orange, anyone interested will gain the most insight by starting at row 151, halfway through (because color numbers start at 0 but list items start at 1), which is full spectral yellow.
sin.csv (13.3 KB)
linear.csv (13.2 KB)
sin3.csv (13.4 KB)