continuous authorizing computer request to transfer songs to my computer

Perhaps there is an issue with songs on your device that is similar to this one. Can you not download the purchase history directly?

Repeated requests to authorize an already authorized computer for store downloads typically indicates you have corrupt or incomplete copies. Backup and then delete the tracks that won't play from your library without hiding from your purchase history. Redownload using the cloud links that should remain, or close iTunes and reopen if they don't show up straight away. While downloading click the activity widget and turn off the option that allows for simultaneous downloads.

If that hasn't helped see If iTunes for Windows prompts you to authorize your computer when you try to play purchases - Apple Support.

What about the content that wasn't purchased from the iTunes Store. See Recover your iTunes library from your iPod or iOS device - Apple Community to reclaim the rest.

tt2

I try to download a purchased song and a menu says I need to authorize computer. It has been authorized. My account shows 3 devices authorized to the apple id. I have deauthorize and reauthorize but still am unable to add the song to my library. Why is this difficult? I just want to listen to the song I just purchased.

I am using Mac OS. I bought a new computer and there are songs that said I need to authorize my new computer to play them. I did but the it kept on asking me to authorize it. I checked my other computer that is authorized and the songs are not corrupted. It is too complicated. This whole business of buying from Apple Music store. It is much better to buy the CD and rip it.

As noted, repeated requests to authorize an already authorized computer for store downloads typically indicates you have corrupt or incomplete copies. Backup and then delete the tracks that won't play from your library without hiding from your purchase history. Redownload using the cloud links that should remain, or close iTunes and reopen if they don't show up straight away. While downloading click the activity widget and turn off the option that allows for simultaneous downloads.

If that hasn't helped see If iTunes for Windows prompts you to authorize your computer when you try to play purchases - Apple Support.

If you're still having issues contact Apple Support.

tt2

You're welcome. 🙂

tt2