Approximately, doubt anybody keep a count.
8 times here I think, 1h30 of gameplay.
1x Against the Asylum Demon (thought I had to die like in Demon's Souls, was wrong)
2x Against the skeletons in the 1st area, to finally discover they don't give souls, ****ers.
1x Against the Taurus Demon, just learned there was a tower you could climb, now should be easy.
2x Against the Enemy Wielding the Rock Mace in the area unlockable only with Master Key
2x Against the Enemies in the Undead Burg, on the narrow bridge
And I think that's it, for now !
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Best LPer ever, Gix ! : http://www.youtube.com/watch?v=Vt5YKmP7ecY