Help with project

Hello. I am trying to create this:

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except in a straight version, not round. I have a piece of 1/8-inch diameter silicone tubing and a piece of 1/4-inch diameter silicone tubing.

My question is: Is there a way to calculate how wide I should cut the slit/opening so that the piece will grip different sizes?

Any information about this will be appreciated.

Regards, Amy

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amy
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