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Speedo correction for larger tires?

US6x4

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I haven't read of anyone doing this yet, but has anyone changed speedo cable gears to compensate for larger diameter tires? I did this on my highboy and the math is just a simple cross multiply & divide.

For example a 11.00-20 going to 16.00-20:

#original teeth/42" = #new teeth/53"

So if the original tooth count was say 16 (just for the example) the new tooth count would be (16×53)÷42 = 20 teeth.

Are there different speedo gears available? Are they a Spicer or Allison only part or a generic size?
 
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