My new bike has a Rival mid-cage RD and a SRAM 1070 11-32 10 speed cassette. Shifting is great.

My old bike has a PT Psimet wheel set with an IRD 10 speed Shimano 11-34 cassette. I'd like to use this wheel set without having to move the cassette or buy a new one.

When I moved the old wheel to the new bike, it shifted terribly. It would basically sit on top of the cogs. I never even got it anywhere near the 34 cog.

So, shouldn't it shift fine with the old wheel without any adjustment? They are both ten speed Shimano cassettes so I thought that shifting should be fine in at least the eight smallest cogs.

Is the width different in these two cassettes? Is the spacing different? Does the actual wheel make a difference?

Thanks for your help.

Cliff