....but my '79 Riders manual says 1 turn out.
So it does; I'd never noticed that before. I think the Bing manual is correct but again it will depend on idle jet size. I've being using info from this table which lists turns out for all of the Bing model numbers. Notice only 40mm carbs are 1 1/4 turns out and most every thing else is less than 1 turn.
As well as idle jet size there are other variables that will affect mixture screw settings. Valve clearance have been mentioned; tighter clearances will need slightly more turns out and wider clearances slightly less. Idle mixture is quite sensitive to float height with lower fuel level in the bowls dropping idle speed particularly if the mixture is correctly set i.e. not too rich.
Up to a point this can be used as a test of the idle mixture. Turn of the fuel tap a mile from home or whatever distance allows you to just about get home with the engine feeling reasonably OK and without stumbling. When you come to stop the idle speed should be lower than normal because the fuel level has dropped in the bowls. This is an indication that idle is sensitive to fuel level. If the idle speed doesn't drop then the mixture was probably set too rich.
1/2 turn 64/28/201, 64/28/202, 64/28/301, 64/28/302, 64/28/303, 64/28/304, 64/32/203, 64/32/204, 64/32/307, 64/32/308, 64/32/347, 64/32/348, 64/32/201 (US), 64/32/202 (US), 64/32/223, 64/32/224, 94/40/107, 94/40/108
3/4 turn64/32/305 (UK), 64/32/306 (UK), 64/32/321, 64/32/322, 64/32/325, 64/32/326, 64/32/335, 64/32/336, 64/32/349, 64/32/350, 64/32/351, 64/32/352, 64/32/353, 64/32/354, 64/32/357, 64/32/358
1/2 - 1 turn 64/32/9, 64/32/10, 64/32/11, 64/32/12, 64/32/13, 64/32/14, 64/32/201 (UK), 64/32/202 (UK)
1 turn 64/32/19, 64/32/20, 94/40/109, 94/40/110, 94/40/113, 94/40/114
1 - 1 1/4 turn 94/40/103, 94/40/104, 94/40/105, 94/40/106, 94/40/111, 94/40/112