Folder for adjustably tensioning a web as the web is cut

A printing press folder comprising:

• a cutting apparatus cutting a moving web to form successive signatures, wherein said cutting separates each of the successive signatures from the web;
• a first acceleration cylinder including a first contacting segment and a first relieved portion circumferentially adjacent to the first contacting segment, the first contacting segment radially protruding from the first acceleration cylinder with respect to the first relieved portion;
• a second acceleration cylinder including a second contacting segment and a second relieved portion circumferentially adjacent to the second contacting segment, the second contacting segment radially protruding from the second acceleration cylinder with respect to the second relieved portion,
• the first acceleration cylinder and the second acceleration cylinder gripping the web at a gripping location with the first contacting segment and the second contacting segment as the web is cut by the cutting apparatus;
• a motor rotating the first acceleration cylinder and the second acceleration cylinder so the first acceleration cylinder and the second acceleration cylinder have a phasing with respect to one another and the web;
• and
• a controller coupled to the motor, the controller varying a web tension as the web is cut by the cutting apparatus by controlling the phasing, said controlling the phasing including at least two modes as follows;
• a first mode where leading edges of the first and second contacting segments contact the web at substantially the same time as the cutting apparatus cuts the web to create a minimal amount of tension in the web, and
• a second mode where leading edges of the first and second contacting segments contact the web significantly before the cutting apparatus cuts the web to create a larger amount of tension in the web.