Thanks to nowayoutnowayout
This applies to iPhone 5 and 6 with iTunes 12 (and probably iTunes 11):
1. Do a search for all .m4r files on your computer.
2. Copy the ones you want into Libraries/Music/iTunes/iTunes Media/Tones
3. If the directory does not exist (as it didn't on my computer), create the directory, then copy the desired .m4r files (tones) into that directory.
4. Open iTunes and plug your iPhone into the USB port on your computer.
5. Click on the iPhone icon located on the left side of the horizontal menu bar near the top of iTunes.
6. Click on Tones in the left panel.
7. Check the box (white square) marked Sync Tones.
8. Click the radio button (little circle) marked All tones.
9. Click the Sync button at the lower right corner of iTunes.
I tried most of the suggestions I found posted in various locations. None worked for me. Making sure that the tones are in the location specified above immediately synced all 357 of my tones in one swell foop. All the tones appeared nicely alphabetized in the Sounds>Ringtones section of the iPhone.
Worked like Charm for me