I decided to give you everything Ive got :)
A total of five improvements:
http://www.youtube.com/watch?v=Wj2idT37LfM
3-1: There are two faster ways to the chest than the current TAS 103 steps and 101 steps. of course the trick is getting the skeleton to follow you without pause. I happened to find it on the 101 step solution so I didnt have to bother looking at the other. I think I use the shot better ;)
current TAS 105 steps to chest this is 102 1/4
-2 3/4 steps
3-2: HA! well at least I can say I found this one for certain on my own! The steps are saved because I dont have to go around the skeleton and I dont wait for the egg to float were you need it.
Current TAS 61 steps to chest this 58
-3 steps
8-4: An intesting surprise, I loved this TAS solution but while trying to optimize the begining found this. Instead of going right twice(in upper left quadrant) I do it only once on the second pass and get the heart.
Current TAS 117 steps to chest this is 116
-1 steps
8-5: THIS is my baby. considering how much time Ive spent on this level I am so pleased to have found this solution. There is a clip at the end that shows my original effort. What I found is a very good way to syncronize the knife men without losing time. Ultimately I realized I was spending longer timing my trips down on the rest of the level than it was worth.
Consider you dont push either of the men down, negate them use your fastest solution you'll gain 12 steps. However in my solution without pushing them down I was using like 7-8 in timing. Granted it was faster than regular just seemed improve able. (not mention extremely difficult realtime) So It occured to me if i DO push one down maybe I wont need the have the timig issues. PRESTO I give away 5 steps and end up getting 7 theoretically. Well actually, because my result is an almost 4 step improvement!
Current TAS is 177+ steps to chest this is 173+
-3 3/4 steps
9-3: You've seen this improvement in the previous posts. Unfortunately I dont think it will make it into my speed run :( I'm sick of restarting after I die here. I put my alternate solution as the final clip. Funny enough its the same steps as the current TAS
Not exactly sure of steps but deduced it was -2
-2 steps
Approx -12 1/2 steps
A second note to 8-5: I'm certain the TAS can be improved beyond mine at least 1 step. Its likely that the solution doesn't involve syncronizing the medussas.
Oh, and sorry about the video quality. Its what I got.
CHEERS!
Zugzwang
Edits are in RED. I added so that you know what I was looking at in comparison