tatfiend 

HiYoSilver;

I would love it if you could be forced to ride your suggested gearset and see how bad it is.

The 9-10 shift and 18-19 shifts, either direction, would be monsters as you need to shift across 8 cassette sprockets to reach the next gear. By the time you do you have slowed down too much so need to shift back. Also the gear steps are too close together, particularly in the lower gears where the rider can easily handle larger gear steps.

Get a copy of Frank Berto's 1988 book called Bicycling Magazine's Guide To Upgrading Your Bike. Usually available used on Amazon. It has an excellent chapter on gearing and discusses gearing ideas similar to yours, and their problems.

The 16-31-53 front rings would give very poor shifting on to the middle ring as they exceed any front derailleur capacity limits. The total range of 46 teeth also exceeds rear derailleur takeup capacity and your gearing scheme ignores rules about not cross chaining. A design that looks pretty on paper can be a total disaster when ridden. IMO yours is a perfect example of such a design.

From a rider convenience and ease of shifting standpoint duplicate gears and minimizing shift time at the rear when going between chainrings is the way to go for a derailleur system. In the days of 5 rear sprockets many loaded touring bikes used a setup with minimal duplicate gears. It was called "Half Step + Granny" gearing. It required a lot of double shifts if used as intended. Again well covered in the above mentioned book. If you want to eliminate duplicate gears and have a wide gear range then get something like the Rohloff IGH Hub.