How to transfer songs from iTunes to iPhone without cable?

I just ripped a CD and I'm trying to transfer it to my iPhone. I don't want to use my cable as it created A LOT of problems the last time. I tried using the cloud but it doesn't seem to work. I might be using it wrongly. Is there any way to move the songs without a cable or cloud?

Assuming that you have your computer on a wi-fi network AND at least iOS 5 on the iPhone, you can update using wi-fi. Check your preferences in iTunes and your settings on the iPhone.

See the link for details, and replace the cable if it is an issue.