According to the Shimano web site the Alfine 11 has a ratio range of 0.527 to 2.153 and can take sprockets various sprockets with between 18 and 23 teeth.
So, am I right in thinking that (for example) if an Alfine 11 was set up with a 32t chainring and a 23t sprocket you'd get a ratio range of 0.733 (0.527 * 32 / 23) to 2.995 (2.153 * 32 / 23)?
In comparison a 2x9 gear setup with 22/33 chainrings and a 11-34 cassette would have ratios from 0.688 (22/32) to 2.909 (32/16). So it would have a wider range, but only just.
Have I got my maths the right way round here?