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Please help me construct this

I want to design a helix type of coupler. The differnece between the normal and this helix coupler wound be that, its pitch on one side has to be larger and the other side it has to be smaller. Hope you can understand what im trying to explain, i have attached a image of a normal helix coupler, in this pitch on both the inside and outside are the same, i want to construct a helix coupler with the outside having a smaller pitch and the inner side to have a larger pitch (varies by very few mm), no need for the end connectors

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