coinflip situation on the turn

[sublyme]

Playing around with an odds calculator, I've been trying to figure out how to create the closest coinflip situation on the turn in hold 'em that I can. Besides the obvious of having two of the same hands, I've run across this one.
QJs
AKh

Flop - 6s5sTh
Turn - 9c

At this point, AK unimproved is still ahead 55% to QJ's 45%. The only reason QJ has it's sweat, of course, is because of it's flush draw, open-ended straight draw and queen's and jack's as outs. A similar situation, with a flopped open-ended straight flush draw for QJs, still turns up as 45% on the turn. So, I ask you - are there any situations closer to 50-50 than this on the turn?

This is all just out of curiousity.

[timex]

I see how to make 23-21 outs, give your-self overcards and a straight flush draw.

[sublyme]

Aha, a quick look at 55 vs KQh on a JhTh7c3c board yields 48% vs 52% - getting warmer!

[WhiteWolf]

Perfect coinflip!

http://twodimes.net/h/?z=1476702
pokenum -h kh qh - td 3d -- jh th qc 3c
Holdem Hi: 44 enumerated boards containing Qc 3c Jh Th
cards win %win lose %lose tie %tie EV
Kh Qh 22 50.00 22 50.00 0 0.00 0.500
Td 3d 22 50.00 22 50.00 0 0.00 0.500

[Central Limit]

I'm not going to go to the trouble of using a poker calculator, but the key is to have a pair on the board so the underpair can get counterfeited.

Let's try:

Hand 1: KhQh
Hand 2: 5c5s

Board: JhTh7c7d

Hand 1 has the following outs:
7 hearts. (5h & 7h are no good)
3 Aces.
3 Eights.
3 Kings
3 Queens.
3 Jacks.
3 Tens.

That's 25 outs. Maybe a gutshot straight draw instead of an open ended straight draw would hit 50%. Whatever. You should be able to manipulate this situation to fit your needs.

[KJL]

In order to make it 50/50, you just need to make it so when the board pairs neither person wins.
Board: Qh Qs Td 9d
Dead:

equity (%) win (%) tie (%)
Hand 1: 50.0000 % 43.18% 06.82% { 8d7d }
Hand 2: 50.0000 % 43.18% 06.82% { 2c2h }