Personally, I think iTunes and iCloud work to transfer music from iPhone to MacBook Air. Here is my way:
1. on iPhone settings Mail, Contacts, Calenders - iCloud - music set to off
2. on PC, downloaded and opened up iCloud panel.
3. signed in with my Apple ID.
4. chose to only upload Outlook music, calenders and tasks
5. wait till everything is on the cloud
6. on iPhone settings Mail, Contacts, Calenders - iCloud - contacts now set to on
7. set calenders to on
8, look in music and they are all there