There are several slow ways and one really fast way. Less than 3 minutes. Here's how the XP is earned. When using the flesh spells XP is gained by casting it when in combat. Magelights get XP for being cast bonus XP for getting stuck to an NPC, NPC bonus for distance. I tested it. Water breathing earns you XP you just have to be in water that you can swim in. Detect life is earned by detecting life, the more life that is detected the more XP you will get. Telekinesis XP is earned by how far the object you are holding is moved. XP is earned by transmuting ore, not a lot though.

The slow way is to get mage light don’t use candlelight and cast it repeatedly on someone until you’re up to level 50 in alteration. Buy detect like from Tolfdir in the College of Winterhold. Go to a densely populated area and use detect life until Level 100. This will work even better after the civil war as the losing side and all their jarls are moved to the losing side's capital adding a lot more NPC’s.

The long quick way is by getting gear that makes alteration spells cast nothing to cost. Acquire Telekinesis from Red Water Den. drop an object in Riften, hold it with telekinesis, and fast travel to Solitude. Unfortunately, this does not work like the destruction one you DO need the Magicka for it to count.

The quick way to get Magelight. Go to the front of Solitude's main entrance, Take a few steps back. Look at the top of the mountain and spend some orbs up there.

I only saw one video about the last one and was hoping it could become more widespread this way. Hopefully, this guide can be useful to anyone looking into alteration.

Important Timestamps
0:06 Different spell types and how their XP is earned
0:47 First step of slow method
1:23 Detect Life
1:40 Second step of the slow method
2:12 Second Method & Redwater Den (Restoration Loop Recommended)
5:16 Second Method Telekinesis
6:34 Fastest method in under a minute and a half

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