Hi All -

Leah's "Getting Over My Head" thread seems to have evolved into a gearing 
thread. I retired from a career in data mining and statistical modeling, so 
you can just imagine how much time I've wasted on "optimizing" bicycle 
gearing. 

Here's the TL;DR version: it's impossible to optimize gearing, so stop 
sweating it.

The slightly longer version is that we are locked into integer tooth 
counts; when the optimal cog is 14.5 teeth, that ain't an option! So, we 
are forced into compromising or, better yet, satisficing. 

There are essentially three key points we are trying to fix with gears: the 
lowest low, the highest high, and the steps in between. Given those, we 
then try create a system that reliably and easily shifts among the gears. 
For me, a 2x system using components available today provides the best 
combination of low-low, high-high, steps in between, simplicity, 
consistency, and reliability. But that depends highly on the chain, the 
chainrings, and the front derailer playing nicely together. It also works 
for me because I use it as 2 gearing ranges, one for flats and downhills, 
the other for long, steeper uphills.

The lowest low and the highest high are pretty straightforward, and plenty 
of ink has been spilled on how to choose those, so there's no point in 
elaborating on that. It's the "steps in between" part that drives us wild. 
In theory, we think, we'd like to have perfectly even steps between the 
high and low. In practice, though, 1) that's simply not possible with a 
cog-and-chain drivetrain, and 2) it might not even be that desirable. A lot 
of riders, myself included, find that we prefer smaller steps between gears 
in the range in which we normally ride, and larger steps out in the 
extremes. 

What I definitely don't like is having a big difference between 3 adjacent 
cogs in the middle of my cruising range. For example, a 1-tooth difference 
one way and a 2-tooth difference the other. Unfortunately, this is a common 
occurrence in large cog count cassettes with tiny small cogs - they go from 
a 1-tooth difference to a 2-tooth difference near the middle of the 
cluster. That's twice the amount of reduction/increase in effort. So, when 
I'm looking at cassettes, I'm looking for ones where that 1-to-2 transition 
occurs as close to the small cog as I can get it. A major factor here is 
the movement to smaller smallest cogs, which has gone from 14 to 10 in my 
time. Starting from 11 (or, God forbid, 10!) you use a lot of cogs to get 
to the point where 2-tooth steps start to make sense.

On the other hand, those small smallest cogs mean we can use small outer 
chainrings, and that's something of a boon if your front derailer can 
handle it, because it means we can also use smaller inner rings on a 2x to 
get sufficiently low gearing. The difference between chainrings is worth 
examining a bit. Typical road double front derailers have a 16-tooth max 
difference specification, which derives from the standard "compact double" 
50-34. That's a 39% difference, which is a pretty big jump, roughly 3.3x 
the average jump on the cassettes often paired with those chainrings. So, 
shifting up front is the equivalent of around 3 1/3 cogs in back. On my 
Waterford I use a 42-tooth large ring, and a 26-tooth small ring is 16t 
smaller, but that's a whopping 48% difference, which is 5x the average jump 
on my cassette. Piaw mentioned going with smaller tooth differences up 
front, and there's a good example of why. When I built my Breadwinner I 
went with 44x32 up front, a 32% difference that is 3.1x the average 
difference on the cassette. I find that to be a much less disruptive change 
than on my Waterford. The front chainring difference as a multiple of the 
average in back turned out to be a significant factor for me. Sure, it 
means I have more overlap in gears, but that's less important to me than 
the change in cadence caused by shifting.

One last consideration as I'm designing a drivetrain is that I want my 
preferred cruising gear near the center of the rear cogs, maybe a little 
closer to the small end, so that I can be on the large ring for most of my 
riding around home. That's around a 5.0 gain ratio for me now, which is the 
42x17 on my Waterford. And, as noted, I want a consistent difference above 
and below that gear, which means, for me, a 2-tooth change on each side of 
it. 

Ted Durant
Milwaukee, WI USA

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