eurhythmic

The story

1. Proto-Indo-European*h₁wes-
2. Proto-Indo-European*h₁wésus?
3. Proto-Indo-European*h₁es-?
4. Proto-Indo-European*h₁su-
5. Proto-Hellenic*ehu-
6. Ancient Greekἐΰς (eǘs)
7. Ancient Greekεὖ (eû)
8. Englisheu-
9. Proto-Indo-European*ser-?
10. Proto-Indo-European*srew-
11. Proto-Indo-European*sru-dʰ-mo-s
12. Proto-Hellenic*hrutʰmós
13. Ancient Greekῥῠθμός (rhŭthmós)
14. Ancient Greekῥυθμικός (rhuthmikós)
15. Englishrhythmic
16. English todayeurhythmic

From eu- + rhythmic.