FWIW
Street cars now have four basic transmission types.
Automatic
Multiple internal clutch packs and usually containing some form of planetary gear system. The driver does not need to shift at all. Some automatics come with an option for the driver to select gears manually, but they are still an automatic transmission. The shifts can be slow compared to a manual or SMG.
Manual
The driver operates a clutch and gear shift lever. The gear shifting is normally in the standard H pattern.
Sequential manual gearbox
This gearbox is basically the same as a manual transmission, but some mechanism, usually hydraulic or electrical, operates the clutch for the driver. The drive selects gears. The driver cannot skip gears, like going from 2nd to 4th. The shifting sequence is like what a motorcycle uses. The shifter can be a stick (common in sports cars and rally cars), or paddles. In street cars, this type of system can be setup to be completely automatic too where the driver does not select gears at all. But the system still has just one clutch that is external to the gearbox. A good example of this is the BMW SMG (sequential manual gearbox) found mostly in the M3. I don't know for a fact, but I believe this is the basic type of gearbox found in an F1 car.
Continuous Variable
This has long been a theory in transmissions but is just now starting to see use in street cars. Audi is the first in the modern era (that I have heard of) that uses this type of gearbox. There are no real shifts in this system. It continuously varies the gear ratio based on the car speed and engine load. It can be setup to be totally smooth where no shift type hesitations can be felt. The driver can select "gears", but this just tells the transmission where to go to. I believe the Audi has been setup to actually give a bit of a hesitation so the driver can feel the shift and know it has been done.