Rune Memories/Quick guide

Quest Start

 * Talk to Ariane in the ruins beneath the Wizards' Tower
 * Ariane will give you a Prepared Fire Rune and a Prepared Air Rune
 * Use Fire rune on a red vortex and the air rune on a grey vortex
 * Talk to Ariane again

The Teleportation Problem

 * Go through the library door (east)
 * Put the fire rune on the red chair and the air rune on the grey chair
 * Return to speak with Ariane

The Meeting of the Head Wizards

 * Use each prepared rune on a vortex corresponding to the colour of the background of the rune.
 * Talk to Ariane.
 * Go West back up the staircase to the room at the entrance
 * Use the Nature rune with the Guthix Statue, the Law rune with the Saradomin Statue,the Chaos rune with the Zamorak statue, and the Cosmic rune on the other statue.
 * Return and speak to Ariane

Memories of the Abyss

 * Go through the "studies door" (north)
 * Go to the Red Master's Study (north east corner)
 * Use the Choas Rune on the large chair and the Fire Rune on the chair opposite
 * Return to speak with Ariane

The Teleportation Debate

 * Go through the library door (east)
 * Use the Air Rune on the grey chair, Fire Rune on the red chair, Earth Rune on the green chair, Water Rune on the blue chair and the Chaos Rune on the table.
 * Return to speak with Ariane
 * Return to the library
 * Search the shelves for 2 of the Document fragments
 * Then go the the studies
 * Search each room, the is a Document fragment in each room and a diary in the Red Master's Study
 * Return and speak to Ariane

Beaming
Place the Rune in their corresponding positions:
 * South: Chaos
 * Southwest: Water
 * West: Cosmic
 * Northwest: Earth
 * North: Law
 * Northeast: Fire
 * East: Nature
 * Southeast: Air

Investigate Ariane
 * Go speak to Wizard Ellaron at the entrance to Wizards' Tower.

The Burning Tower
Remove each soul from Ariane by using the rune corresponding to the beam. (in the order below)
 * Talk to Wizard Ellaron
 * Cosmic Rune - Thick Grey Beam
 * Water Rune - Simple Blue Beam
 * Earth Rune - Simple Green Beam
 * Fire Rune - Simple Red Beam
 * Law Rune - Thick Blue Beam
 * Nature Rune - Thick Green Beam
 * Choas Rune - Thick Red Beam
 * Air Rune - Simple Grey Beam

Speak to Ariane

Quest Complete.