Music app broken in iOS 7? Or am I just an idiot?

I was trying to make more room on my iPhone 4S by deleting songs and I noticed a very annoying problem. When in the music app and I tapped a song in the list, it would choose a random track, usually near the top of the list. Sometimes when in the "Now Playing" screen, and I attempted to skip to the next track, it will take me to one of the first songs I have.

Any help?

Update:

There are certain songs I can no longer delete.

Do you have shuffle set on so that it randomly shuffles and selects a track?

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