So, I did the calculations. I wrote up a Python script to do it all for me, because otherwise I would be here a while.
In the hider below is the output of that program, which simulated a player who did nothing but level up, starting at turn 2 as we did.
In summary, you can level up 1 level per turn until Turn 17 (which you start at level 17). On this turn you can level up twice. You go back to 1 level per turn until turn 24, when you can again go two levels. By turn 28 (level 32) you can consistently level up twice per turn. Turn 34 (level 44) is the first instance of going up 3 levels at once. The next instance of going up 3 levels is turn 45 (level 67), and by turn 49 (level 77) you are going up 3 levels per turn consistently.

You hit level 100 by turn 56.

[hider=Lots of Boring Text]
**Turn 2 start**
Level: 2, Might: 5, M/T: 5
! Levelled up to Level 3
Level: 3, Might: 1, M/T: 6
**Turn 3 start**
Level: 3, Might: 7, M/T: 6
! Levelled up to Level 4
Level: 4, Might: 2, M/T: 7
**Turn 4 start**
Level: 4, Might: 9, M/T: 7
! Levelled up to Level 5
Level: 5, Might: 3, M/T: 8
**Turn 5 start**
Level: 5, Might: 11, M/T: 8
! Levelled up to Level 6
Level: 6, Might: 1, M/T: 9
**Turn 6 start**
Level: 6, Might: 10, M/T: 9
! Levelled up to Level 7
Level: 7, Might: 0, M/T: 10
**Turn 7 start**
Level: 7, Might: 10, M/T: 10
! Levelled up to Level 8
Level: 8, Might: 0, M/T: 11
**Turn 8 start**
Level: 8, Might: 11, M/T: 11
! Levelled up to Level 9
Level: 9, Might: 1, M/T: 12
**Turn 9 start**
Level: 9, Might: 13, M/T: 12
! Levelled up to Level 10
Level: 10, Might: 3, M/T: 13
**Turn 10 start**
Level: 10, Might: 16, M/T: 13
! Levelled up to Level 11
Level: 11, Might: 1, M/T: 14
**Turn 11 start**
Level: 11, Might: 15, M/T: 14
! Levelled up to Level 12
Level: 12, Might: 0, M/T: 15
**Turn 12 start**
Level: 12, Might: 15, M/T: 15
! Levelled up to Level 13
Level: 13, Might: 0, M/T: 16
**Turn 13 start**
Level: 13, Might: 16, M/T: 16
! Levelled up to Level 14
Level: 14, Might: 1, M/T: 17
**Turn 14 start**
Level: 14, Might: 18, M/T: 17
! Levelled up to Level 15
Level: 15, Might: 3, M/T: 18
**Turn 15 start**
Level: 15, Might: 21, M/T: 18
! Levelled up to Level 16
Level: 16, Might: 6, M/T: 19
**Turn 16 start**
Level: 16, Might: 25, M/T: 19
! Levelled up to Level 17
Level: 17, Might: 10, M/T: 20
**Turn 17 start**
Level: 17, Might: 30, M/T: 20
! Levelled up to Level 18
! Levelled up to Level 19
Level: 19, Might: 0, M/T: 22
**Turn 18 start**
Level: 19, Might: 22, M/T: 22
! Levelled up to Level 20
Level: 20, Might: 7, M/T: 23
**Turn 19 start**
Level: 20, Might: 30, M/T: 23
! Levelled up to Level 21
Level: 21, Might: 10, M/T: 24
**Turn 20 start**
Level: 21, Might: 34, M/T: 24
! Levelled up to Level 22
Level: 22, Might: 14, M/T: 25
**Turn 21 start**
Level: 22, Might: 39, M/T: 25
! Levelled up to Level 23
Level: 23, Might: 19, M/T: 26
**Turn 22 start**
Level: 23, Might: 45, M/T: 26
! Levelled up to Level 24
! Levelled up to Level 25
Level: 25, Might: 5, M/T: 28
**Turn 23 start**
Level: 25, Might: 33, M/T: 28
! Levelled up to Level 26
Level: 26, Might: 13, M/T: 29
**Turn 24 start**
Level: 26, Might: 42, M/T: 29
! Levelled up to Level 27
! Levelled up to Level 28
Level: 28, Might: 2, M/T: 31
**Turn 25 start**
Level: 28, Might: 33, M/T: 31
! Levelled up to Level 29
Level: 29, Might: 13, M/T: 32
**Turn 26 start**
Level: 29, Might: 45, M/T: 32
! Levelled up to Level 30
! Levelled up to Level 31
Level: 31, Might: 5, M/T: 34
**Turn 27 start**
Level: 31, Might: 39, M/T: 34
! Levelled up to Level 32
Level: 32, Might: 19, M/T: 35
**Turn 28 start**
Level: 32, Might: 54, M/T: 35
! Levelled up to Level 33
! Levelled up to Level 34
Level: 34, Might: 14, M/T: 37
**Turn 29 start**
Level: 34, Might: 51, M/T: 37
! Levelled up to Level 35
! Levelled up to Level 36
Level: 36, Might: 11, M/T: 39
**Turn 30 start**
Level: 36, Might: 50, M/T: 39
! Levelled up to Level 37
! Levelled up to Level 38
Level: 38, Might: 10, M/T: 41
**Turn 31 start**
Level: 38, Might: 51, M/T: 41
! Levelled up to Level 39
! Levelled up to Level 40
Level: 40, Might: 11, M/T: 43
**Turn 32 start**
Level: 40, Might: 54, M/T: 43
! Levelled up to Level 41
! Levelled up to Level 42
Level: 42, Might: 14, M/T: 45
**Turn 33 start**
Level: 42, Might: 59, M/T: 45
! Levelled up to Level 43
! Levelled up to Level 44
Level: 44, Might: 19, M/T: 47
**Turn 34 start**
Level: 44, Might: 66, M/T: 47
! Levelled up to Level 45
! Levelled up to Level 46
! Levelled up to Level 47
Level: 47, Might: 6, M/T: 50
**Turn 35 start**
Level: 47, Might: 56, M/T: 50
! Levelled up to Level 48
! Levelled up to Level 49
Level: 49, Might: 16, M/T: 52
**Turn 36 start**
Level: 49, Might: 68, M/T: 52
! Levelled up to Level 50
! Levelled up to Level 51
Level: 51, Might: 18, M/T: 54
**Turn 37 start**
Level: 51, Might: 72, M/T: 54
! Levelled up to Level 52
! Levelled up to Level 53
Level: 53, Might: 12, M/T: 56
**Turn 38 start**
Level: 53, Might: 68, M/T: 56
! Levelled up to Level 54
! Levelled up to Level 55
Level: 55, Might: 8, M/T: 58
**Turn 39 start**
Level: 55, Might: 66, M/T: 58
! Levelled up to Level 56
! Levelled up to Level 57
Level: 57, Might: 6, M/T: 60
**Turn 40 start**
Level: 57, Might: 66, M/T: 60
! Levelled up to Level 58
! Levelled up to Level 59
Level: 59, Might: 6, M/T: 62
**Turn 41 start**
Level: 59, Might: 68, M/T: 62
! Levelled up to Level 60
! Levelled up to Level 61
Level: 61, Might: 8, M/T: 64
**Turn 42 start**
Level: 61, Might: 72, M/T: 64
! Levelled up to Level 62
! Levelled up to Level 63
Level: 63, Might: 12, M/T: 66
**Turn 43 start**
Level: 63, Might: 78, M/T: 66
! Levelled up to Level 64
! Levelled up to Level 65
Level: 65, Might: 18, M/T: 68
**Turn 44 start**
Level: 65, Might: 86, M/T: 68
! Levelled up to Level 66
! Levelled up to Level 67
Level: 67, Might: 26, M/T: 70
**Turn 45 start**
Level: 67, Might: 96, M/T: 70
! Levelled up to Level 68
! Levelled up to Level 69
! Levelled up to Level 70
Level: 70, Might: 6, M/T: 73
**Turn 46 start**
Level: 70, Might: 79, M/T: 73
! Levelled up to Level 71
! Levelled up to Level 72
Level: 72, Might: 19, M/T: 75
**Turn 47 start**
Level: 72, Might: 94, M/T: 75
! Levelled up to Level 73
! Levelled up to Level 74
! Levelled up to Level 75
Level: 75, Might: 4, M/T: 78
**Turn 48 start**
Level: 75, Might: 82, M/T: 78
! Levelled up to Level 76
! Levelled up to Level 77
Level: 77, Might: 22, M/T: 80
**Turn 49 start**
Level: 77, Might: 102, M/T: 80
! Levelled up to Level 78
! Levelled up to Level 79
! Levelled up to Level 80
Level: 80, Might: 12, M/T: 83
**Turn 50 start**
Level: 80, Might: 95, M/T: 83
! Levelled up to Level 81
! Levelled up to Level 82
! Levelled up to Level 83
Level: 83, Might: 5, M/T: 86
**Turn 51 start**
Level: 83, Might: 91, M/T: 86
! Levelled up to Level 84
! Levelled up to Level 85
! Levelled up to Level 86
Level: 86, Might: 1, M/T: 89
**Turn 52 start**
Level: 86, Might: 90, M/T: 89
! Levelled up to Level 87
! Levelled up to Level 88
! Levelled up to Level 89
Level: 89, Might: 0, M/T: 92
**Turn 53 start**
Level: 89, Might: 92, M/T: 92
! Levelled up to Level 90
! Levelled up to Level 91
! Levelled up to Level 92
Level: 92, Might: 2, M/T: 95
**Turn 54 start**
Level: 92, Might: 97, M/T: 95
! Levelled up to Level 93
! Levelled up to Level 94
! Levelled up to Level 95
Level: 95, Might: 7, M/T: 98
**Turn 55 start**
Level: 95, Might: 105, M/T: 98
! Levelled up to Level 96
! Levelled up to Level 97
! Levelled up to Level 98
Level: 98, Might: 15, M/T: 101
**Turn 56 start**
Level: 98, Might: 116, M/T: 101
! Levelled up to Level 99
! Levelled up to Level 100
Level: 100, Might: 56, M/T: 103
[/hider]

I may see what difference Holy Sites make, although that will complicate the code a bit.

[@Double Capybara] your dream world and tower look very good. 'Extraordinary' is a rather odd domain, perhaps even more intangible than beauty. I have no objections to it, although it still feels peculiar.