what do you have the Bloodstained Mire in for?

Bnon, Bloodstained Mire and Wooded Foothills can both fetch for mountains, including Sacred Foundry and Stomping Ground which counts as both a mountain and a plains. That means that I effectively am running 11 copies of Sacred Foundry, 11 copies of Mountain, and 9 copies of Stomping Ground, along with 4 Mana Confluence, in a 19 land deck.

As an added bonus they can trigger Landfall on my opponent's turn for Searing Blaze.

Also, fetches allow for a very small "thinning" effect, because when you use one you're removing an extra land from your library, ever so slightly increasing the chances that you'll draw a nonland.

Wait, maybe I don't understand Eidolon of the Great Revel as well I should, but it seems that this is the worst possible deck for it. This being because every single card in your deck has a cmc of three or less. That means that after turn two you have seven spells before you have taken 21 damage. The only two ways you could survive is if at least one of them was a Lightning Helix, or if you relied on swinging with the Eidolon at least once. The other possible strategy is to attack continuously in hope that it will be dead before you loose too much life from self-burn. I do see the whole idea that the opponent's spells will burn them too, but is that really worth it? Good deck, solid burn. +1 for me.

The goal is to deal your opponent damage. While you take damage from all of your spells, almost all of theirs will help you reach your goal more quickly. They absolutely have to remove the Eidolon before they do anything else or risk losing themselves the game.

As Burn, your life total matters in exactly one matchup (the mirror).