On Saturday, April 27, 2024 at 12:41:12 PM UTC-5 Patrick Moore wrote:

But I keep coming back to theoretical efficiencies: IIRC, the gearing 
effect of tooth jumps in back are more or less double what they are in 
front. So the question is, how to get just 2 or 3 big jumps in back without 
a IGH.


 Just build a 3-speed cassette and fill the rest of the space with spacers.

Bill's 46-36-24 is jumps of 25% (46-36) and 41% (36-24). An equivalent 25% 
jump in back would be 15-19 (24%), 16-21 (27%), 17-22 (26%), 18-23 (25%). 
An equivalent 41% jump in back would be 16-24 (41%), 17-25 (39%),  17-26 
(42%), 18-27 (41%), 19-28 (39%), 19-29 (42%), 20-30 (41%), 21-31 (39%), 
21-32 (42%),  ...

A very close equivalent to the 46-36-24 in front would be 15-19-28 in back. 
Pair that with a 44T chainring and you'd have 42-63-79 gear inches on 
700x32C tires. At 22t of required chain wrap, take your pick of any rear 
derailer. I would expect much crisper shifting with that setup than a 
wide-range triple up front. Combine it with a compatible index shifter and 
you'll have a nice 3-speed externally geared hub. 

If you were so inclined. 

Ted Durant
Milwaukee WI USA

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