Go back to Levias, and drop onto him to begin the conversation. After obtaining the complete song, head to Skyloft, and play your harp in front of the Tower of Light.
Collect the first tear right in front of you, then go left up the stairs. One tear is in front of the Guardian to the left, but watch out for the Watcher. Go east, collecting another tear in front of the other Guardian, and another one underneath the tree further ahead. Follow this path all the way around, taking a right once you reach the end of the road, to get in front of the Knight Academy entrance. Climb up via the box and jump over. Watch for the Watcher, and make your way to the left via the small ledge. Climb up the vines at the end and grab the tear in the middle. Turn right and drop down. Push the block underneat the tear and pick it up. Watch out though, you can only move it a few seconds at a time due to the Watcher patroling.
Go down the stairs now, then drop down to the right. Wait until the Watcher is on the other side of the bridge, then go get the tear. Wait for him to pass you, and head into the opposite direction, across the bridge, grabbing another tear just ahead. Hop across the platforms and grab the tear near the Guardian there.
Go back across the lake and head left, past the two watchers. Once you go up the stairs, turn left. Collect the tear on the bridge, but be careful that the Watcher doesn't see you. Follow the path left until you reach a tear surrounded by four Watchers. It's tricky to get, you have to wait or them to spread a bit, so you can essentially dash through and pick it up.
Once you have that tear, go back and continue south up the slope, to the windmill. Drop down to collect another tear. Head out through the doorway (watch out for the expanding and receeding water), and turn south. Go to the graveyard and collect the tear there. You can avoid being initially spotted byt he Watcher by going around, onto the rooftop of the house next to the graveyard, and dropping down on top of the tear from there. When returning, wait for the Watcher to go left, then just sprint up the slope.
Go back to the very beginning, the Tower of Light, and pick up the final tear on top of it. Still you have to be mindful of the Watcher patroling the ladder.
Once you've completed the trial, head to the north of Skyloft, and hop across the lake. Examine the bird statue of the edge to open up the path. Grapple your way across and enter Sky Keep.
Head forward and pick up the map from the chest, then head right. Examine the console in front of you to start the dungeon's overarching puzzle. Note that you can always only move blocks (rooms) into one position, and the one you're in is locked in place. below you will see simple directional instructions - if it says "up" it means move the block below the free space one space up.
Note: These instructions work to get through the dungeons, they might not be optimal / shortest solutions.
Move the blocks in the following ways: Down, Down, Right, Right, Up, Left, Left, Down, Right, Right, Up, Left, Left, Down, Right, Right, Up, Left, Left, Down, Right, Up, Left, Down, Right. This will result in the blocks arranged like this:
Head through the door now and you'll find yourself in a forest area. Go right, once you reach the chasm use the Beetle to cut loose the rope on the other end, then use the whip to swing across all the way. Use the Beetle again now the grab some bombs from the rotating pillar on the right and kill the bird. Do it again to kill the three Pyrups on the far wall. Grapple to the left rotating pillar. From there to the right one with the bombs, and finally to the grapple point in the fish mouth to the left. Swing across to the suspended platform and use the bellows to make it swing in such a way that it gets you closer to the other suspended platform on the left. Do the same thing once you get there to reach the nearby ledge.
In the next room head left and pick up the timeshift orb. Proceed in the opposite direction and down the stairs. Place the orb down and climb up the ladder. Pull the lever, drop down, pick up the orb then stand on the switch. Throw the orb into the conveyor belt, climb the ladder again and run to the other side. Stand on the switch to open up the upper hatch and have the orb drop out. Walk with it into the next room and place it on top of the spinner platform. Go along the left wall, using the bellows to move the platform together with you. Stand on the switch and get the platform through to the other side. On the opposite wall you'll notice an arrow target, so hit it to open the gate. Go through, pick up the orb and proceed.
Pull the lever to create a shortcut to the starting area of the room. Open up the lower hatch and throw the orb in. Enter the wide open room and look to the left, above the conveyor belt container - as the orb moves it opens up arrow switches. Hit all 5 to open up the way to the console. Now you re-arrange the block in the following manner: Up, Right, Down, Left, Up, Up, Right, Down, Down, Left, Up, Right, Down, Left, Up, Up, Right, Down, Left. This will give you the following:
Go back through the forest area to reach the first Triforce room (Bottom row middle). Head left and pop the water fruit to create a platform. Ride it and hit the switch on the far right once it comes into your view. Once you get close to the crossing, hit the water fruit on the other side to create a platform. Jump on the newly created platform and hit the switch above the stone head to stop the magma flow. Ride the platform and jump off on the left ledge when you reach it. Pull the lever to open up a shortcut to the begining of the room. You'll be doing something similar as before now - pop the water fruit and ride the platform. Near the of the corridor look to the right and hit the crystal switch above the demon head with an arrow. Then hit the water fruit and quickly jump across to it. Ride it around the curve and jump onto the rising platform when you get close enough.
Send back the Beetle and hit the crystal switch again, to toggle the other lava stream, the one you now need. Hit the water fruit straight ahead and jump onto the platform. Ride this last platform until the end of the corridor and grapple yourself to the left side once the grappling points gets into view. Thrust your sword into the symbol of Din and take the Triforce of Power in the Spirit Realm. Once you're back outside, pull the lever and enter the door.
Head left and crawl into the small opening. Take a left at the crossing and, once outside, roll a bomb back into the tunnel to blow the other way free. Crawl through there and burrow down the mound. Go forward and hit the piston, the head back. Dig out of the hole and crawl back through the opening, the turn left. Kill the Lizalfos and throw a bomb into the statue's pot to make it fall over. Do not activate the crystal yet though. Roll a bomb down the slide into another statue, then slide down yourself, you'll land on it. Hit this switch here and climb up the vines. Using the skyward slice, cut the trees on the two small pillars to your left. Using the Beetle carry a bomb from the right pillar to the pot of the statue on the left pillar. Do not activate this crystal either. Instead, activate the crystal you discovered first. The way back to that area is straight ahead, just jump down from the south edge. After you activate that, use the Beetle to go back up and activate the last crystal you discovered behind the trees.
Enter the door that opened next to the first crystal you discovered and burrow down the mound. You'll use the bomb in the middle to destroy both the rock on the right and on the top left. To do the former, just push it twice from the left side. The latter however requires you to push the bomb from the left, then quickly sprint crawl around the bottom and push it again. Go around the top and push the blue piston in, then go back the way you came and leave the underground. When you exit the room with the mound go right, and now take the newly opened left path on the crossing (The one that's been blocked by the gate you just opened). Follow it and enter the mound.
Kill the two centipedes in here to continue. Note that you don't have to fight them at the same time, the right one is blocked off by rocks initially. Once you get rid of them exit the underground through the top mound. Pull the lever to open the gate for future use, and examine the console. Move the blocks the following way: Left, Down, Right, Right, Up, Left, Down, Right, Up, Left, Down, Right, Up, Left, Left, Down, Right, Right, Up, Left, Down, Right, Up, Left, Left, Down, Right, Right. This will give you the final configuration that looks like this:
After you go through the door to the left of the console now, you'll find yourself in the starting map room. Just go right to enter the next Triforce room. Sprint right and up to the timeshift orb. Take it to the opposite side of the room and place it on the small mark on the ground. Go back to where the timeshift orb originally was and from there shoot an arrow into the switch on the opposite wall (Previously inaccessible). Get the orb and head through the newly opened door. Make your way slowly through the corridor, but leave the timeshift orb a few meters back, just so you have enough room to spring across the quick sand to solid ground. Stand on the switch at the end of the way and shoot an arrow at the target through the propeller opening. Head back and, with the orb in hand, go to the far right, where it was originally placed. If you approach the faraway edge, a couple of pillars will appear on the left. Jump onto them so that you're aligned with the grappling point on the east wall. Before you grapple there though, throw the timeshift orb forward, so that it covers the room with the grappling point as much as possible. If done right, the door to the Nayru symbol should be open.
Go all the way back now, through all the shortcut doors that you opened, until you reach the top right room, with the chest. Here you'll fight an enemy not unlike Scervo from the Pirate Ship. Dispatch of him and take the key from the chest. Head left now, through the corridor and into the final Triforce room.
Go to the middle and enter the locked door. What follows are three rooms with very difficult fights. Just be careful, make defense a priority, take out ranged target first, and in the third one, focus on the Stalmaster, ignore the Cursed Bokoblins. Once everything is clear, you'll reach the final emblem. Thrust your sword and complete the Triforce.