Here I have a compilation of all the best layouts I've created.
Here is a page where you can compare each stat of my layout and some other of the best layouts.

MTGAP's Advanced Layouts for the English Language

lower scores are better
Finger travel distance (effort), same finger, row jumping, and same hand (the 4 most important aspects, in order of importance) are compared to Dvorak and Colemak.

Layout One: ROTS

Shortcuts at medium value
Ease to learn at zero value
Designed for standard (non-ergonomic) keyboard

Score: 9.789 (10.33 without shortcuts bonus)
Standardized score: 10.24
k g l d b j h u f .
r o t s w m n e a i
z x v c q y p , ' ;

Effort: better than Dvorak and Colemak
Same finger: better than Dvorak, worse than Colemak
Row jumping: worse than Dvorak and Colemak
Same hand: worse than Dvorak, better than Colemak
REVIEW
This layout is very good. Same finger may be a bit too high. The biggest problems are the GO/OG digraphs and the NY/YN digraphs. Also period is on the same finger as ENTER, which adds more same finger. There are some issues, but it's worth it in order to accommodate for the keyboard shortcuts.

Layout Two: TEA

Or, MTGAP's Standard Layout
Shortcuts at zero value
Ease to learn at zero value
Designed for standard (non-ergonomic) keyboard

Score: 10.072
Standardized score: 9.99
k l h c b j d u f .
o r n s g w t e a i
x q v m z y p , ' ;

Effort: better than Dvorak and Colemak
Same finger: better than Dvorak, [a tiny bit] worse than Colemak
Row jumping: better than Dvorak and Colemak
Same hand: worse than Dvorak, better than Colemak
Notice how similar this layout is to the last one, even though it was developed independently.
This layout is noticeably better than ROTS, mostly in the same finger department. It's better than Colemak and Dvorak on most aspects, and where it doesn't win, it comes close. Same finger is very acceptable. Effort is better than any other keyboard layout so far. It does have really bad rolls though, only about 60k occurrences to Colemak's 90k.

HOW DOES IT COMPARE TO COLEMAK?
Colemak is the best non-ergonomic layout IMO. Here's how it compares in the 8 aspects.
(These stats are explained here.)
Best travel distance: MTGAP's evolved standard layout = 68966
Worst travel distance: Colemak by Shai = 71162

Best same finger: Colemak by Shai = 0.34%
Worst same finger: MTGAP's evolved standard layout = 0.5%

Best same hand: MTGAP's evolved standard layout = 17.32%
Worst same hand: Colemak by Shai = 21.16%

Best jump home: MTGAP's evolved standard layout = 0.13%
Worst jump home: Colemak by Shai = 0.2%

Best hand warping: Colemak by Shai = 0.79%
Worst hand warping: MTGAP's evolved standard layout = 0.92%

Best row changing: MTGAP's evolved standard layout = 6.34%
Worst row changing: Colemak by Shai = 7.55%

Best to center: MTGAP's evolved standard layout = 1.12%
Worst to center: Colemak by Shai = 1.79%

Best rolls: Colemak by Shai = 6.82%
Worst rolls: MTGAP's evolved standard layout = 6.25%
So my layout wins 5 times and Colemak wins 3 times.

Layout Three: IAET

Or, MTGAP's Ergonomic Layout
Shortcuts at zero value
Ease to learn at zero value
Designed for ergonomic keyboard (hand warp costs 0, effort is different because keys are straight). Because it's designed for an ergonomic keyboard, it will be compared to Arensito instead of Colemak, because Arensito was designed for an ergonomic keyboard.

Score: 11.05
Standardized score: 10.68
. f u d j q h c w k
i a e t p l n s r o
' , y g z ; m b v x

Effort: better than Dvorak and Arensito
Same finger: better than Dvorak, [a tiny bit] worse than Arensito
Row jumping: better than Dvorak and Arensito
Same hand: worse than Dvorak and Arensito
Notice how this is basically a backwards version of the last 2. But it does have a few differences, such as having E, U, and Y all on the same finger.

HOW DOES IT COMPARE TO ARENSITO?
Arensito is a very good layout, designed for an ergonomic keyboard. How does my ergonomic layout compare to Arensito? Maybe it has a higher overall score, but how does it compare in each value?
Best travel distance: MTGAP's evolved ergonomic layout = 64579
Worst travel distance: Arensito by Hakonhal 66882

Best same finger: Arensito by Hakonhal = 0.37%
Worst same finger: MTGAP's evolved ergonomic layout 0.38%

Best same hand: MTGAP's evolved ergonomic layout = 16.88%
Worst same hand: Arensito by Hakonhal 24.9%

Best jump home: MTGAP's evolved ergonomic layout = 0.14%
Worst jump home: Arensito by Hakonhal 0.21%

Best row changing: MTGAP's evolved ergonomic layout = 6.51%
Worst row changing: Arensito by Hakonhal 11.52%

Best to center: MTGAP's evolved ergonomic layout = 0.71%
Worst to center: Arensito by Hakonhal 0.72%

Best rolls: Arensito by Hakonhal = 14.48%
Worst rolls: MTGAP's evolved ergonomic layout 6.82%
So mine wins on 5 aspects, and Arensito wins on 2, but barely.

Layout Four: ASRT

Or, MTGAP's Easy Layout
Shortcuts at medium value
Ease to learn at medium value
Designed for a normal keyboard

Score: 6.74 (the score is so low because points are subtracted for every key that's in its QWERTY position)
Standardized score: 11.22
q w l d b j f u k p
a s r t g h n e o i
z x c v ; y m , . '

HOW DOES IT COMPARE TO COLEMAK?
Colemak has 13 keys in their QWERTY positions, while ASRT has 15. They both have ZXCV in the original positions.
How does it compare in the other aspects?
Best travel distance: MTGAP's evolved easy to learn layout = 68966
Worst travel distance: Colemak by Shai 71162

Best same finger: Colemak by Shai = 0.34%
Worst same finger: MTGAP's evolved easy to learn layout = 0.5%

Best same hand: Colemak by Shai = 21.16%
Worst same hand: MTGAP's evolved easy to learn layout = 21.58%

Best jump home: MTGAP's evolved easy to learn layout = 0.16%
Worst jump home: Colemak by Shai = 0.2%

Best hand warping: MTGAP's evolved easy to learn layout = 0.53%
Worst hand warping: Colemak by Shai = 0.79%

Best row changing: Colemak by Shai = 7.55%
Worst row changing: MTGAP's evolved easy to learn layout 8.06%

Best to center: MTGAP's evolved easy to learn layout = 0.89%
Worst to center: Colemak by Shai = 1.79%

Best rolls: Colemak by Shai = 6.82%
Worst rolls: MTGAP's evolved easy to learn layout = 6.05%
So my layout wins 4 times and Colemak wins 4 times.
These two are very close. However, my layout does keep more keys in their QWERTY positions.

MTGAP's Layout 2.0

Shortcuts at zero value
Ease to learn at zero value
Designed for standard (non-ergonomic) keyboard

Score: 9.67

	, f h d k j c u l .
	o a n t g m s e r i
	q x b p z y w ' v ;

This is a revised layout, designed to be optimal for any keyboard.

HOW DOES IT COMPARE TO COLEMAK?
Colemak is the best non-ergonomic layout IMO. Here's how it compares in the 8 aspects.
(These stats are explained here.)
Best travel distance: MTGAP's evolved standard layout = 68069
Worst travel distance: Colemak by Shai = 71162

Best same finger: Colemak by Shai = 0.34%
Worst same finger: MTGAP's evolved standard layout = 0.34%

Best same hand: Colemak by Shai = 21.16%
Worst same hand: MTGAP's evolved standard layout = 25.45%

Best jump home: MTGAP's evolved standard layout = 0.02%
Worst jump home: Colemak by Shai = 0.2%

Best hand warping: Colemak by Shai = 0.79%
Worst hand warping: MTGAP's evolved standard layout = 0.92%

Best row changing: Colemak by Shai = 7.55%
Worst row changing: MTGAP's evolved standard layout = 11.71%

Best to center: MTGAP's evolved standard layout = 1.16%
Worst to center: Colemak by Shai = 1.79%

Best rolls: MTGAP's evolved standard layout = 14.48%
Worst rolls: Colemak by Shai = 6.82%
So my layout wins 4 times and Colemak wins 4 times.

This is my big amazing all-round layout.

What about the other keys?

That's true, my program does not include any characters besides the main 30. So I designed the rest of the layout manually.

MTGAP's Layout for an Ergonomic Keyboard

          UNSHIFTED                          SHIFTED
  [ 1 2 3 4 5 6 7 8 9 0 ]    ||      { ! @ # $ % ^ & * < > }
TAB , f h d k j c u l . /    ||    TAB ( F H D K J C U L ) =
CAP o a n t g m s e r i -    ||    CAP O A N T G M S E R I _
  ~ q x b p z y w ' v ; !    ||      ` Q X B P Z Y W " V : ?

thumb pads:

                 LEFT                      RIGHT
          ctrl/cmd  alt/opt       copy  paste
        S     B                         E     S
        H     K     altGr         undo  N     P
        I     S                         T     A
        F     P     ctrl(Mac)     esc   E     C
        T     C                         R     E

MTGAP's Layout for a Standard Keyboard

The designer of Arensito had 2 really great ideas. The first was to have a whole different layout for special characters, accessed with AltGr. I'll get to that later. The second was to a way of using thumb pads on a standard keyboard. All the keys are moved up 1 row, and the thumbs go on the bottom row.

          UNSHIFTED                          SHIFTED
    q , f h d k j c u l . - = BKSPC   ||      Q ( F H D K J C U L ) _ +
  TAB o a n t g m s e r i / [ ]       ||    TAB O A N T G M S E R I ?
  CAP q x b p z y w ' v ; !           ||    CAP Q X B P Z Y W " V : &
shift 5   3 2   1 4       shift
     AltGr(used to be space)

I put Q in the tilde position because of the Mac shortcuts CMD-TAB and CMD-Q.

1: space
2: backspace
3: shift
4: enter
5: a dead key that causes the next key pressed to be its QWERTY position. This is mainly for keyboard shortcuts: hit this key, then hit CTRL-C where C is in its QWERTY position.

About that special characters layout. You press AltGr to access this layout.

9 7 5 3 % $ 2 4 6 8
/ = * 1 \ _ 0 : ; #
< > ^ + | @ [ ] { }

This layout puts the most common special characters on the home keys. It's also easy to remember: I spent no time trying to memorize it, but I have no problem remembering it. Odd numbers are all on the left, and evens are on the right. All the paired symbols (like brackets) are on the bottom. All the mathematical symbols are on the left. \ and |, which are on the same key in QWERTY, are next to each other. As a little bonus, % is in its QWERTY position.


What if you want to use this keyboard?

I can't help you there. I designed these keyboards for the fun of it. If you want to use a better keyboard, I recommend Colemak. If you want to use my layout I'd be flattered, but you're going to have to implement it yourself.


See my blog on The New Keyboard Layout Project for information on further developments.