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Improving in comp is just going to take some practice. Lazor0Monkey has a good video about simulating comps that he loves. A lot of people do this to improve there official times. The main way to improve in 2x2 is algs. However, with Ortega you can drop about a second. (assuming 4.5 to 3.5). I however went from LBL (probably basically what your using) to CLL. If you are unfamiliar with CLL is goes like this:

1. Build a Layer
2. Do 1 of 42 algs to complete the cube!

It is 42 algs, but it is a stepping stone to full EG (well, it is part of EG, and EG is what the best 2x2"ers use). With CLL you can get sub 3 averages (and to about 2.5 if your good). I averaged about 4.5 when I switched to CLL. And as of a month or so ago, got an official 3.3 average and average right around that 3 mark. Hope this helped!

I'm sub-4 on 2x2 and I just use Ortega. Practice with Ortega and learn a bunch of PBL algorithms, maybe learn some CLL as well, or at least some of the easy cases. After that, just make sure you can fully plan out your 1st fact in inspection, and solve a layer instead of a side when the case isn't too bad. Learn some tricks for making a layer, watching example solves by fast people is helpful. After that, just do a bunch of solves to practice everything.

I actually averaged 5 seconds in Nats, so I no longer think this is an issue. I do not know how good my TPS is. But I am currently learning CLL and I have all sune cases menorized

I never used Ortega, but I used LBL and now have progressed on. I would start by making sure you plan your complete face in inspection. If possible work toward being able to see your OLL in inspection, but begin with just your face (if you can't already). Make sure you are using good algs. Cyotheking.com has good algs. In fact this page might help a lot: http://www.cyotheking.com/ortega/

Has really everything you need to know.

Predict your bar in inspection. Feel free to ask any questions! But please check out the link! Hope it helps.

I never used Ortega, but I used LBL and now have progressed on. I would start by making sure you plan your complete face in inspection. If possible work toward being able to see your OLL in inspection, but begin with just your face (if you can't already). Make sure you are using good algs. Cyotheking.com has good algs. In fact this page might help a lot: http://www.cyotheking.com/ortega/

Has really everything you need to know.

Predict your bar in inspection. Feel free to ask any questions! But please check out the link! Hope it helps.

Face- plan this in inspection and make sure you know where the bar is going to be and try and have it in the front. Also, be efficient and don't insert corners like you would on 3x3 if you don't have to. Also, do it on D not U.

OLL- use these algs (as they preserve D layer): R U R' U R U2 R' for sune.
R U2 R' U' R U' R' for anti sune
F R U R' U' F' for U
F R U R' U' R U R' U' F' for Pi
R2 U2 R' U2 R2 for H
R U R' U' R' F R F' for T
F R U' R' U' R U R' F' for L

Make sure you know these properly.

PBL- use algs that have the bar in front.
Solved on D: adjacent swap- T-perm, J-perm or R U2 R' U' R U2 L' U R' U' L
Diag swap- Y-perm or R U' R' U' F2 U' R U R' D R2
Bar on D: adjacent swap- R2 U' B2 R2 U2 R2 U R2
Diag swap- L D' L F2 L' D L'
Solved- R2 U' R' U L' U2 R U' R' U2
Diag on D: adjacent swap- R' U R' F2 R F' R
Diag swap- R2 F2 R2
Solved- R U' R' U' F2 U' R U R' D F2 R2 (this is just the diag on U alg cancelled into the diag on both).

You should be able to sub 2 all of these with minimal practice, and you should try to (with time) be able to see into oll in inspection. Once you want to commit to 2x2, learn either cll or eg-1 to improve.

I am not really into 2x2, but I have decided to get fast at this event also.
So, my question is how fast can I get with Ortega on 2x2, if I avg sub-13 on 3x3?

I am not really into 2x2, but I have decided to get fast at this event also.
So, my question is how fast can I get with Ortega on 2x2, if I avg sub-13 on 3x3?

i currently use one where i complete one layer then use (r u r' u r u2 r') and then when i get a comlete face i go back to the first side and od (r' u r' d2 r u' r' d2 r2 b

Time Recommendation - Ortega (get) Sub 5. CLL (get) sub 4, EG-1 (get) Sub 2.75, EG-2 to whatever speed you wish (but can learn more things like SS, TCLL, L5C)

Okay I tend to average similar maybe a bit faster, I'm almost sub 4 with ortega. Learn 2 algs for each ol l so (this is for ortega btw if u don't learn cll) so you can skip bad cases like y on bottom solved on top. Also you should try to one look your ol l from inspection on easier scrambles