On the mathematics stackexchange site, I wrote:

If you are certain that those earlier in the order will collectively reach a correct decision then you weight your vote so small that you do not affect the collective vote, while if you are not certain then you weight your vote so large that it will overwhelm the votes of all those earlier in the order.

For reasons I cannot quite explain, I am not comfortable with the use of small and large there. I could have used lightly and heavily, which are adverbs, but I felt that would have been pushing the weighting metaphor further than is usual in this mathematical sense. But smally and smallly are not words, while largely means something more like mostly. I would not use the Trumpian big-league or bigly and presumably little-league or littlely.

I could have rewritten this to something like "... you give your vote a weight which is so small that ...", but my question here is about whether there are adverbs directly corresponding to small and large.

• Use size instead of weight; the extra metaphor (gravity is not actually involved here) adds extra conditions. – John Lawler Oct 12 '19 at 17:37
• How about 'tiny' and 'great'? – Weather Vane Oct 12 '19 at 17:57
• I'm not quite clear on what your question is here . . . Are you asking why small and large don't work here? Grammatically they do. Stylisitically you're mixing metaphors weight and size. Are you asking which is better light/heavy vs small/large? B/c that's POB. Overall, weighting your vote should probably follow light/heavy only b/c it's the same metaphor. But, that's my opinion. – David M Oct 12 '19 at 19:27
• @DavidM I am indeed in part asking if small and large are adverbs and can as such here. I did in fact do so, but did not feel comfortable when I did – Henry Oct 13 '19 at 0:50
• insignificantly and substantially – tblue Oct 13 '19 at 1:07