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Nope, tyre size and chainring make no difference to the % change in ratio which is what your legs feel when it comes to gear jumps: the difference in rpm between one gear and the next.
5.9 GI increase is approx 20% of 29.9
10.1 GI increase is approx 10% of 110.6The ratio change when changing is twice as big between the 37-46
Depends on your chainring and tyre size as well, but assuming a 40t up front and 700x40c tyres then 10-11t is 100.5" - 110.6" gear inches, so 10.1" difference, 37-46t is 24" - 29.9" so 5.9" difference, about 60% as big a jump.