Editing Warp Factor (section)

===...and beyond===
However, in the 23rd century, warp factors of 10 and higher, seemed to denote extraordinarily fast, but not infinite, speeds. In 2267, for example, Nomad fired energy bolts that traveled at warp 15, as well as made the USS Enterprise (by improving efficiency in the antimatter input valve and energy release controls) go at least warp 11 . (TOS: "The Changeling") The Enterprise also engaged an Orion scoutship capable of warp 10, if not higher speeds, since crew safety was of no concern to them. (TOS: "Journey to Babel") In 2268, the USS Enterprise achieved a speed of warp 14.1 after being sabotaged by a Kalandan planetary defense system, though at that velocity the ship came within moments of destroying itself. (TOS: "That Which Survives") 

In 2270, the Enterprise encountered Karla Five's vessel, that was about to enter the Beta Niobe nova. At maximum speed, the ship was traveling at approximately warp 36. The Enterprise was accelerated to speeds in the excess of warp 22, while being linked to the ship with a tractor beam. (TAS: "The Counter-Clock Incident") 

In 2364, the Enterprise-D, after modification to its warp drives by The Traveler, exceeds warp factor 10 and goes off the warp scale. (TNG: "Where No One Has Gone Before") 

In an alternative future, around the turning point of the 24th to 25th century, warp factor values as high as warp 13 were routinely achieved by Federation starships. The Enterprise-D traveled at warp 13 in the incident concerning the temporal anomaly in the Devron system. (TNG: "All Good Things...") 

Rather than "faster than infinite", these alternative future warp factors seemed to also point to extraordinarily fast speeds.

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