Skipping Space Jump: Phendrana's Edge

Notes:

When you first enter this room, if you're using the PAL version you'll need to freeze one or both of the pirates. Somehow get quickly to the platform where you normally SJ to the branch. There is a section of branch here which dips down a tad. You'll need to move downwards on it so you get a bit of a Ghetto from the dash. Now, get a pirate to go in front of the grapple point under the plasma door, and dash off him. Alternatively, you can scandash off that same grapple point. You might need to bend the dash a bit forward, so do that if necessary.
Two options here. One is seemingly easier but still very tricky. Walk up the better part of the branch, and do a very hard backwards-then-forwards ghetto jump onto the next platform. Or, you can face in the general direction of the plasma door, and then strafe left into the crook of the branch. Morph, and perform a fairly tricky HBJ (you'll need to move away from the wall halfway through) and an unmorph to make it onto the next platform.
You can do a L-Lock Spring Jump to get to the first platform in front of you, or to be safe use a DBJ. Turn to the left (facing the grapple point not under the plasma door) and do a DBJ onto that platform too. Turn towards the grapple point and do an incredibly strange DBJ onto a part of the point that sticks out slightly from the wall. This DBJ is done more towards the left of the point than you would think. Look up and scandash off the Glider. Proceed like normal to the artifact.