How to put music on iPhone without cord?

My iPhone cord doesn't work when syncing with my Mac, so I was wondering if there's another way to get my music into the official music app without using the cord?

Added (1). I can't use Wi-Fi sync because that requires prior connection

I'm pretty sure there's a syncing feature on iTunes that uses the Wi-Fi to sync songs onto your phone and any other apple device.

I found:
"The iPhone needs to be running at least iOS 5 (the latest version of Apple's operating system for iPad, iPhone and the iPod Touch), and iTunes 10.5 or later should be installed on the computer. If you have not upgraded your software lately - and both your iPhone model and computer can support the newer programs - you should be able to get the latest versions with the Apple Software Update program on your Mac or PC.

Once you have confirmed that your iPhone and computer meet the system requirements, connect the two with the USB cable that came with the phone. When the iPhone icon appears in the iTunes Devices list, click it, and then click the Summary tab at the top of the iTunes window.

On the Summary screen, scroll down to the Options area, click the checkbox next to "Sync with this iPhone over Wi-Fi" and click the Apply button. You can now sync content like music and video from iTunes to your phone without having to link the two devices with the USB cable. The iPhone's icon remains visible in the iTunes window, even when it is not physically connected to the computer, so you can transfer files as you normally do with iTunes.

In order to sync over Wi-Fi, you do need to have iTunes open on the computer, have the iPhone plugged into a power source and have both the phone and computer connected to the same wireless network. Apple has troubleshooting tips if you have problems."

This apparently only works for purchased songs from the store. Or you could just install google music on your pc/mac and it'll sync the music you download from iTunes to the cloud, then from any device that supports it - such as android phones -- the music will just be there without you having to do anything.

If you want to be able to transfer music to an iPhone,
iPad, or iPod touch wirelessly and without syncing
everything on the device with iTunes, you'll need to turn
on iTunes Wi-Fi Sync. Yes, you read that correctly, in
order to add a song to an iPhone (iPod, etc) wirelessly
and without syncing the entire device, you have to
enable a feature that suggests kind of the opposite. This
is very easy to do, but surprisingly, wi-fi syncing is
disabled by default. We'll walk you through turning the
feature on and then showing you how to copy a song
over to an iOS device wirelessly, without syncing
everything else which as we all know can take forever.
Enabling Wireless Syncing Between iOS & iTunes
This process will be identical for Mac OS X and Windows
PC's.
Connect the iPhone, iPod touch, or iPad to the computer
using the USB cable - this is the only time you'll need
to use the cable to get this feature working
Launch iTunes and select the iOS device, then under the
"Summary" screen scroll down to find "Options"
Check the box next to "Sync with this iPhone over Wi-
Fi", this will be labeled slightly differently if the device is
an iPod or iPad
Now select "Apply" to enable wireless syncing on that
device
Now that wi-fi communication between the computer
and iOS device is enabled, you can disconnect the
iPhone/iPad/iPod from the computer by unplugging it
and you won't have to plug it in again unless you want
to manually backup or transfer photos, HD video, or
music from it.
Add Songs & Music to the iOS Device Wirelessly Without
Syncing Everything
Now the only requirement is the iOS device is within wi-
fi range of the computer with iTunes. This is also going
to be easiest when you have the sidebar enabled, in
iTunes 11+ you can choose "Show Sidebar" from the
View menu.
Select the song(s) to add and drag and drop them over
to the to the iPhone/iPad/iPod touch in the sidebar
Let the songs transfer, you can tell the device is syncing
by the little spinning icon in the iOS title bar or the
spinning icon in iTunes
That's all there's to it!
Transferring wirelessly is going to be a bit slower than
through the USB cable, but that's a small price to pay for
the convenience of not having to drag a cable around
everywhere and connect it to an iPod and Mac every
time you just want to add a new song you just
downloaded. Keep in mind that music bought from
iTunes should sync automatically if you have that
enabled, but you'll be able to use this drag & drop
method whether or not you do.
Considering this is by far the easiest way to transfer
music, videos, media, and sync a device in general, it's
a little strange that it's not always enabled by default.
Take the time to enable it though, you'll be happy you
did.