"Crossover Gearing
    This refers to a derailer gear system in which the jumps between chainwheel 
sizes are approximately the same as the jumps between adjacent rear sprockets. 
This type of gear setup provides a particularly simple shifting pattern, 
requiring no double shifting at all, but at the price of creating a large 
number of duplicate gears, and limiting either the overall range of gears or 
the closeness of spacing." St. Sheldon. 

So if I understand Mr. Brown correctly, using a 9-spd cluster with crossover 
gearing I functionally get 10 ratios. And that doesn't consider cross-chaining. 
 So why not just go for a single chain wheel and keep it really simple. I'll 
probably use only one chain wheel most of the time anyway. 

With a half-step I have 18 distinct gears! (Again ignoring cross-chaining.)  I 
ride mostly in the middle ring, but, if I want to fine tune, the option is 
there. With a crossover, oh well. 

I'm not saying that the typical crossover setup is wrong. But I do believe many 
dismiss a superb option out of tradition and habit. But what it really comes 
down to is use whatever makes you happiest. For me, I'm a half-stepper of over 
four  decades now. And I'm well content☺️
Cheers!

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