The standard cabs are open-back. This gives plenty of air movement, and a bright, open feel. It can also sound a little shrill. It also has the effect of bouncing sound off of the wall behind it, further brightening the tone.
A closed-back cab has a more controlled high end tone, so it tends to sound more low-heavy. This works well in a 4x12, and even a 2x12, but at the 1x12 size, the closed cab does not have enough volume to allow for air movement. They can sound sterile and mid-heavy, as the air flow and high end are impeded.
The ported cabs are a cross between open and closed cabs. They are designed to give heavy, punchy bass, with controlled high-end. The port design is critical, as it will have a lot of effect on frequency response. You can extend the bass response significantly, depending on the diameter and length of the port tube.
Ported cabs tend to have a lot more bass response than closed cabs, but can also sound very boomy. They don't have the open, airy high-end of an open cab. They also don't really have as much low-end as a larger cab.
I've had a number of 1x12 cabs, and use 2x12 and 4x10 because I was never happy with any of them by comparison. BUT I prefer 4x12 tone. If you like a more open tone, then the open-back cabs are great. I would avoid the 3/4 back cabs, as they are huge and overly bassy.
I am interested in trying the 27" open based on YJ's reviews. But I also love me my 2x12 recto cab.