No, its a mountain bike cassette. 11-34 XT M770.
Your not getting me,
mind you not many do.
The point I am making is a cassette is a cassette (M.T.B. cassette's used to be referred to as Touring cassettes).
and ignore the following if you want.
I can gear a bike anyway I want , start at either 11/12/13 and anything up to 32 currently I don't have one larger (or lower in terms of gearing), I can if need be swap the 105 Rd which will do 32th to a Alivio which will do a 34th (but as i said I dont have one) but for example if I did I could go 13/15/17/19/21/23/26/30/34, using combination of rear cogs from what is classed a road cassette and MTB one, so what would you call it. You didn't say what your front is for example a 34x34 is a 1:1 ratio as is a 28x28 same gearing, so instead of such a large rear you would be starting off with a a 28th large rear, ( mine currently is 30x28), now most FD will do a 22th triple eg. 30/42/52 or 16th double eg. 34/50 now a 50x13 is a little short for most road bikes so start at 50x12 and its 109" my 52x13 is 105"
so a triple with a 50/40/28 front and a 28 to 12 rear gives a range of 26" to 109" with a 9 sp this could be 12/13/14/15/17/19/21/24/28 pretty good stepping.
on a compact double 50/34 you would need a 12-34 to give the same range 12-34 (but I cant see one) so 11/13/15/17/20/23/26/30/34 some pretty big jumps in there at the higher end.
My current set up, is 52/40/30 and 13/14/15/16/17/19/21/24/28, with the ability to drop the 16 and put a 32 instead ( though I would need to change the chain as it is set up for a 27 large rear)
the 13-32 would give a range of 24" to 105" ( I start to spin out beyond 30mph on 105") but in all honesty there is nothing around here I can't get up on my current set up.
I did come across a quote that a granny gear is anything less than 24" if this is right a compact double can not possible have a granny gear and most road triples are unlikely to have one unless geared for touring.
Also I tend to spin a 40x15-19 which is a pretty straight chain line on my middle ring (and a choice of 4 gears) compared with either 13/14/15 on a 34 front or 19/21/24 on a 50th front both towards either end of the cassette, for most of my riding I could get away with a 52/39 double as my current set up only has two gears lower, if I regeared it for example a 52/39 and a 13/14/15/17/19/21/23/26/30 there would only be 6" between my current low of 28" and the 34" of a 39x30 or even a 52/36 (I would need a compact chainset) front the 36x30 giving 31" which is only 3" shorter.