Can't re-order songs in iTunes 12

I'm almost embarrassed to post this: I can't re-order the songs in any playlists on my Mac. It's iTunes 12.1.0.50 on OSX Yosemite 10.10.2.

The playlists are all sorted in manual order. There doesn't appear to be anything wrong with them. They all play; each playlist, each song. It is a mixture of playlists I've created on this computer and ones I've synced from another. They are not shuffled. iTunes Match is enabled and not currently syncing. I've quit and restarted iTunes.

Just in case I've missed something, here's a screenshot:

Help me Ask Different, you're my only hope.

posted as answer to add pic…

This tells me it's shuffled right now; click it to turn off again.

Re-ordering should be as simple as dragging to a new position, but whilst it's shuffled it will appear to ignore you, as it's unlikely to recalculate the shuffle at that point.

Okay, so this is weird... OSX suddenly started to be unable to copy and paste in certain applications (Sublime Text 2 could cut/copy, but wouldn't paste anything, couldn't cut from Chrome then paste in Sublime, etc). I've had this issue before with Yosemite. I restarted, which I've used to fix the issue before.

Now I can re-order songs in iTunes. Related to clipboard stuff?! I'm at a total loss and don't feel like I've answered anything. Would love to get more insight into this.

I had the same issue. I discovered that my iPhone 5S was connected via Wi-fi. Once I disconnected it, control of everything in iTunes returned.