The 2nd floor of palace of winds can be skipped with a simple jump to the moving platform, saving about a minute of additional rooms.
Equipment difference:
Any%: Stairclip is performed in the next room which the setup for is performed with the shield, hence the equipment for this room is Cape and Shield.
Glitchless: The next room requires creating clones, thus the Cape and the Sword are both equipped for this room.
Entering the room from the floor below
Cape glide on the spot as soon as you land
Hold the button for the full duration of the glide
Hold down and tap the cape to hop off the cloud
Continue holding down until link touches the cracked floor
Switch direction to hold Down+Left
Hold Cape when close to the wall
Hold inputs until you land on the platform
Walk to the middle of the platform and roll upwards into the wall to avoid being hit by the bird
(Safety: Do this trick with sword equipped to slash the bird once you land)
There are two options for backing up this jump:
Jump back onto the cloud you entered the room from. Roll upwards off the cloud to respawn at the top most cloud of the room below, this allows you to re-enter the room and retry the jump very quickly
Wait above the wall on the left, wait for the moving platform to appear on the left side of the screen. Roll to the right, walk down and then jump diagonally to reach the platform.