How to transfer unpurchased music from iPhone to computer?

I have a lot of unpurchased music on my old iPhone that I don't have on my computer due to the fact that my computer with the files is long gone. I got a new iPhone today and I would like to know how to transfer these files from the old phone to the computer. I have Windows 7. I plugged the old phone into the computer and tried to access the files, and I selected the option to show hidden files and folders but nothing. Is there any way to do this without a third party program?

Get syncios or ibackupbot.

Either of those should be able to access the files on the phone with itunes restrictions, so you can copy them off.

eg. http://www.syncios.com/

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