Feel free to verify any of the values on that table with hyundaitechinfo.com, because that's where I got them from.
2010-12 2.0T M/T M6VR1
1st
4.229
2nd
2.467
3rd
1.671
4th
1.233
5th
1.000
6th
0.794
Reverse
3.985
Final gear ratio
3.909
2013 2.0T M/T M6VR2
1st
3.848
2nd
2.317
3rd
1.623
4th
1.233
5th
1.000
6th
0.794
Reverse
3.985
Final gear ratio
3.538
3.8 M/T All Years M6VR2
1st
3.848
2nd
2.317
3rd
1.623
4th
1.233
5th
1.000
6th
0.794
Reverse
3.985
Final gear ratio
3.538
2010-12 2.0T A/T A5SR1
1st
3.827
2nd
2.368
3rd
1.519
4th
1.000
5th
0.834
Reverse
2.613
Final gear ratio
3.909
Early production final gear ratio
4.101
All 2013 A/T A8LR1
1st
3.964
2nd
2.468
3rd
1.61
4th
1.176
5th
1
6th
0.832
7th
0.652
8th
0.565
Reverse
2.273
Final gear ratio
4.181
Formula's used for RPM and MPH
MPH =(((RPM*Tire diameter)/(Final Drive*Gear ratio*336.13552)))
KPH =(((RPM*Tire diameter)/(Final Drive*Gear ratio*336.13552)))x1.609344
Tire diameter formula
rotational diameter =((((section width*(aspect ratio/100))*2)/25.4)+rim size)
If there is something wrong with my equations please feel free to inform me, I don't want to be giving out wrong information.
Here's a diff sticker from a 2010 2.0T non-LSD
And here's one from a member who did a diff swap on his to get LSD
Here's an ebay link to a 2011 3.8 A/T
10 11 12 Hyundai Genesis Coupe 3 8L Track A T LSD Rear Differential 9K | eBay
And one to a 2010 3.8 M/T
2010 2011 2012 Hyundai Genesis Coupe 3 8L LSD Rear Differential 6M T 25K | eBay
^ I can't link the pictures so you'll have to go to them to view the stickers for yourself.