Maybe you should have waited before updating
Well I needed to test the beta on my companies app, and i have an ipod touch specifically just to test betas. I do mess with it however and I saw the really poor music app. Not that I care my personal iphone runs 5.1.1 It's my first year as a dev and all of this experience is new to me.
Does anybody know or have any educated guess whereas beta 2 will be OTA or full restore?
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If iOS6 is anything like iOS4 and iOS5, the music player app will be one of the last things fixed. It was always buggy/crashy in early betas, and many features that work in shipping versions of the OS with 3rd party hardware (docks, cars, ets) did not work in most of the betas. I wouldn't get your hopes up for a better music player app in beta 2 if history is any indication.
This is very interesting, because for me most of the apple apps are REALLY buggy, itunes, app store, music, passbook, reminders etc, but the 3rd party apps (shazam, spotify, instagram etc) run pretty well! Kind of ironic..