I did over 300 strikes in the last month and just got it yesterday. There are no tricks to increase the drop rate. I've seen 5 drop for others before I got mine and all scenarios were completely different.
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Damn dude ): I guess I'll have to do like 100 more haha. I don't think I'll have enough time to enjoy it in PvP before the Taken King though. It was worth a try, I wish I heard how good it was before hand.
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Normal crucible will still be an even playing field so it should still be good for a while anyway.