Sounds like your Minolta has a horizontal fp shutter, like many other 35s (Leica, etc.). Others have vertical shutters like the famous "Copal Square" shutter (Nikon F, etc.).
I believe I am correct in saying that most 35s have a fixed-tension variable-slit shutter, i.e. different speeds are obtained by using a large or smaller slit. Because 35 mm film film comes in rolls, the shutter needs to "cap" itself (close its slit) when it is moving across the film being wound. The Graphic shutter does not do this, it is therefore a "non-self-capping" type (said by old pressmen to be more reliable) and has 4 separate slits, 3 of which give different timed speeds, the 4th gives a "T" setting (press once to open, press again to close), plus a choice of two tensions. (This relates to the later Pacemaker Speed Graphic model - the "Anniversary" model and earlier types had, if I recall, 4 tensions and 4 slit widths for timed exposures).
It could be fun to try to replicate the distortion of the old-time shutters with your Minolta, the problem is that to get the distortion you need to be in a situation where the shutter is exposing each part of the film for a short time (and thus giving a sharp image) BUT ALSO taking a relatively long time to get from one side of the picture to another. This would mean a low tension and small slit, whereas the shutter of your modern 35 will have high tension and a slit that gets progressively larger for slower speeds.
Regards,
David