I want song on my computer but not my iphone?

I'm all out of memory on my Iphone so i'm trying to get some songs off of it but not completely delete it off my computer also. I have the sync only checked songs and videos box clicked but its not doing anything

You may try iPod/iPad/iPhone transfer software, it's a nice iTunes alternative that can help you upload music and video to iPod/iPad/iPhone, I always use it to sync my iPod when my iTunes can't recognize my iPod, it's easy to use and works pretty well
http://welcometojenelleshouse.xanga.com/766907341/ipodiphoneipad-to-computer-transfer-review/

I can show you how to do this without any additional software using just your computer and your device. This way, you will know how to do this in the future in case you ever get a new computer etc.

I Troubleshoot issues like this and walk people through step by step instructions on how to resolve this and similar issues. If you decide that you want support you can contact me at www.easysmartphonesupport.com or 1-888-506-4448. Apple tech support is 29.00 mine is only $10.00. You can also email free of charge at TechHelp@easysmartphonesupport.com. Look forward to assisting you with this issue, hope to hear from you soon.