I'm not sure how TOI and CTE work together, I aim all my shots like they're straight in {Center to Center} or on 30*+ cuts {Center to Edge}. I show how I line this up in my 'Ultimate Aiming System' on my DVD, however, at that time (1996) I didn't feel it was time to show how I did it with TOI.
I don't pivot using TOI, unless I need to put "helping English" on the ball and then I pivot towards the outside, however I ALWAYS come down with the "Touch" Of Inside first.
I either aim Center to Center or Center to Edge on ALL MY SHOTS. This is the only way I could possible play for 14 hours against Efren and miss 6 balls. I've stated my record at my pool room (with triple shimmed tables) was 22 hours, missing 4 balls.
I consider someone a great player when they (or I) miss one ball an hour and I consider someone a Champion when they average missing one ball (that has no safety element attached) every two hours.
This is when they are "in stroke" and I wouldn't count the first 30 minutes with anyone, because even the greatest players of all time need to get acclimated to the environment/table/humidity, etc.
I'm telling you how I rate players so you have some idea of the level that anyone can achieve if they can, first, hit the cue ball straight. If someone is at the point with their fundamentals (I show this in my Ultimate Pool Secrets), where they can hit the cue ball accurately, then they are ready to make all the rest of the shots. When someone can make a straight in 4' away consistently with a accelerating stroke I can show them how to create every angle on the table aiming either CTC or CTE (my center to edge

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The TOI Technique enables a person to shoot all shots like they're alike and this, in my opinion, is how to get the most consistency. There are top pros that can shoot hundreds of different variations, and they also have to practice 6-8 hours a day to maintain.
Who has the time or energy to do that? I assure you I never have. I usually practiced an hour or two at the most when I was playing major tournaments. If I was gambling I would play longer, sometimes much longer. My point is this game is simple to play, and complicated to learn.
My TOI Technique of play simplifies the learning process - plane and simple. This is based on my experience and anyone that puts a few quality hours into TOI will agree. 'The Game is the Teacher'