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:) I got a fixed gear after riding road for a few years, didn't know what I was doing so initially had 48x16 which I found a bit gutless/too spinny, so tried 15 and found it to be a good compromise. Never found it too bad so stuck with it. I've got a 14 on the other side but haven't tried it yet :)
If there's any contract out there for a (mostly ex) smoker who likes cake, sign me up!
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16-17mph average on 48x15 is nearer 65 cadences than 85.
As you suggest, mid80s GI is usually good for averaging 20-25mph but you're obvs taking an age to get there at the mo to drag your average down to 16-17. I reckon you'd go quicker if you went to 48x17 or 18. Or ideally, of course, 48x19 the ratio of the true professional commuter.
Each to their own and all that!
How did you settle on that gear? Did you try lower gears and work upwards?
I wouldn't call a cadence of 80/85 particularly low: perhaps there's a contract in the offing? :)