autorhythmic

The story

1. Proto-Indo-European*h₂ew
2. Proto-Indo-European*tó-
3. Proto-Hellenic*autós
4. Proto-Indo-European*h₂ew
5. Ancient Greekαὖ (aû)
6. Ancient Greekτόν (tón)
7. Ancient Greekαὐτός (autós)
8. Ancient Greekαὐτο- (auto-)
9. Englishauto-
10. Proto-Indo-European*ser-?
11. Proto-Indo-European*srew-
12. Proto-Indo-European*sru-dʰ-mo-s
13. Proto-Hellenic*hrutʰmós
14. Ancient Greekῥῠθμός (rhŭthmós)
15. Ancient Greekῥυθμικός (rhuthmikós)
16. Englishrhythmic
17. English todayautorhythmic

From auto- + rhythmic.