There is a way to do this if you have a Mac connected to your first account, but know that as songs or ringtones on Apple Music are protected by copyright, I’m pretty sure you’re not allowed to transfer them to another phone unless you own it.
I suggest only doing this if you’re transferring to one of your own devices, and if a moderator comes and deletes this post or someone more knowledgeable than I writes a new one saying to not download it, follow their advice!
If you’re sure that it’s okay to transfer the ringtone, here’s what you do:
- Open the song in Apple Music on your Mac
- Plug in your second phone. Go to its entry in the Finder.
- Go to “Music” in the sync section, and enable syncing.
- Select the song and press Sync.
PLEASE NOTE: If you previously synced that phone with other computers, this will delete other synced music.