Warp Scale Comparison
By S. John Ross

The two scales (TOS and TNG) break down as follows (in multiples of c):

In TOS scale, infinity is still "infinity" - all Warp Speeds in TOS are finite values (an open-ended scale), so you can have Warp 20 or 30 or 500 and it's still less than the modern Warp 10.  In TNG, the scale doesn't follow any kind of simple progression after Warp 9; it's literally a hand-drawn curve on a prop chart, looping up towards infinity at Warp 10. There have been several fannish takes on a formula for it, though, of course. The web's full of that kind of thing.

And, the usual disclaimer: It's just best to ignore this stuff. Dramatic necessity and genre convention is both more interesting and more important than math, and trying to make anything consistent out of Trek travel-time conventions is just tilting at windmills, anyway. :)

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