Question about a change in tax brackets

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I've wondered for a long time why the American tax brackets are so convoluted in how they increase (10%, 15%, 25%, 28%, 33%, 35%, 39%) which ends up with a really weird spike when you go from lower middle class to middle class. It's a well known fact that a small or even moderate pay raise when you're already at the limit of the 15% tax bracket is never worth it unless you can get past the 'hump' because of the huge increase in taxation (10% increase, largest of any bracket).

I've said for a long time that reducing the increase on the bracket between high 30's and low 90's would be a good thing and would make economic sense, but I've never actually been able to work out the IMPACT. If you were to reduce that particular bracket's tax rate from 25% to 20%, so the curve is a little more even (10,15,20,28,33,35,39) how would it impact the American economy and tax revenue for the Government? Pic related.

And a further expansion on this, just a general inquiry, because I've never been able to get a straight answer. Does anyone know WHY the bracket jumps by 10% like this so low on the income scale? I'd imagine moving the jump to somewhere around 55,000/yr might have a similar effect, which is basically just a minor tax relief for the middle class, but WHY does it jump like this? It makes very little sense to me. In many parts of the country, $38,000 is fucking NOTHING. I make $37,000ish in the Denver metropolitian area and while I don't necessarily live paycheck to paycheck it's pretty fucking close. I can't imagine looking at someone who makes $166 more a month and saying "You need to pay 10% more in taxes, you're a little too well off".