I put a number for each room according to my discovery order. It's not descriptive in anyway (that I know of), it's simply for the sake of keeping things in order. You start in room 1 (with a brazier). The letters after the first numbers refers to the door you open and the number afterwards refers to the destination room.

1A: 2
1B: 8
2A: 3
2B: 4
3A: 1
3B: 9
4A: 5
4B: 3
4C: 6
5A: 6
5B: 13
5C: 14
6A: 7
6B: 1
7A: 8
7B: 10
8A: 3
8B: 12
9A: 7
9B: 3
10A: 11
10B: 12
11A: 1
11B: Delirious Heritage
12A: 9
12B: 7
13A: 7
13B: 12
14A: 1
14B: Uncanny Heritage

Fastest way to Delirious Heritage is: ABCABAB
Fastest way to Uncanny Heritage is: ABACB