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What kind of data must be considered when we grind a gear with profile shift?

A few days ago we received a series of gears that need to be corrected (Profile shift), and our engineering department has a question about this topic. They told me that they do not know how to calculate the gears with profile shift. They suspect that with each profile shift factor the pressure angle also changes.

A friend in Texas told me "you cannot make a profile shift gear with a normal cutter. For each correction factor you require a cutter according to the modification." Is this correct?

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