archaeoacoustic

The story

1. Proto-Indo-European*h₂er-der.?
2. Proto-Indo-European*h₂ergʰ-der.?
3. Ancient Greekἄρχω (árkhō)
4. Ancient Greekἀρχή (arkhḗ)
5. Ancient Greekᾰ̓ρχαῖος (ărkhaîos)
6. Englisharchaeo-
7. Proto-Indo-European*h₂eḱ-
8. Proto-Indo-European*h₂ew-
9. Proto-Indo-European*h₂ṓws
10. Proto-Indo-European*h₂ḱh₂owsyéti
11. Proto-Hellenic*akóuhō
12. Ancient Greekἀκούω (akoúō)
13. Ancient Greekᾰ̓κουστῐκός (ăkoustĭkós)
14. Medieval Latinacousticus
15. Englishacoustic
16. English todayarchaeoacoustic

From archaeo- + acoustic.