Question about SW vs ST...

According to Memory Alpha:

According to these publications, the scale used by Starfleet in the 23rd century is based on a geometric progression, where the speed of a vessel (measured in multiples of c, the speed of light) is equal to the cube of the given warp factor. The scale assumes travel through a vacuum with no gravimetric or subspace perturbations. The warp factor was calculated as follows:
[image=http://images.wikia.com/wikitex/images/c/c2/c23/66ea1f4492a953903829c1ed379f21.png]
with
v being the speed of the signal or starship
c being the speed of light (3.0 × 108 m/s) and
wf being the resulting warp factor
Or, to calculate speed (v) in terms of c the formula would be:
[image=http://images.wikia.com/wikitex/images/b/bc/bcb/95f02f4e90fb4b7b53f459fcfb8461.png]
At warp 1, a starship would reach c; at warp 6, it would reach 216 c. This is a much slower speed as initially proposed by Roddenberry.

It's too late for my head to process the math right, but i believe the geometric progression means TOS Warp 1.5 would not be the equal to .5 past lightspeed. With my, likely inaccurate, attempts to calculate that equation, it looks like .5 past lightspeed would be closer to TOS Warp 1.2.



For TNG, accoridng to M-A:

The 24th century scale was created at the start of Star Trek: The Next Generation. Gene Roddenberry stated that he wanted to avoid the ever-increasing warp factors used in the original series to force added tension to the story, and so imposed the limit of warp 10 as infinite speed.
For warp factors up to 9, the revised formula became:
[image=http://images.wikia.com/wikitex/images/5/5b/5b0/6bf5bc33d1b01831b7bbaf9665e501.png]
with
v being the speed of the signal or starship
c being the speed of light (3.0 × 108 m/s) and
wf being the resulting warp factor
Or, to calculate speed in terms of c (up to warp 9), the formula would be:
[image=http://images.wikia.com/wikitex/images/c/c5/c5e/fabf60882d4768a64f485c09af72f1.png]
In this case, warp 1 is equivalent to c (as it was in the 23rd century scale); warp 6 is approximately 392 c.
Above warp 9 the exponent was increased above "10/3" exponentially, approaching infinity as the warp factor approaches 10.

I'm not gonna try to calculate that