A song remade into a fast Techno version. Could be a remix, which uses most of the actual recording, or a rearrangement, which is a whole new recording which incorporates the lyrics or tune of the song, but adds in a lot more. Could be any kind of song, even Gregorian chants if someone felt like it. Many of the songs in the Dance Dance Revolution games are these kinds of remakes, since "speedy" also means "harder" most of the time. Note that if only part of a song is used in a speedy techno song, that's just Sampling. Examples (sorted by original song's genre):