He studied astronomy and physics at the University of Dorpat, and furthered his education of physics in Paris in the laboratories of Antoine César Becquerel (1788–1878) and Henri Victor Régnault (1810–1878), and afterwards at Berlin in the laboratories of Heinrich Gustav Magnus (1802–1870), Johann Christian Poggendorff (1796–1877) and Heinrich Wilhelm Dove (1803–1879).

In 1893 he moved to the University of Leipzig, where he remained until 1919 as a teacher and honorary professor.

In 1898 and 1904 he published the third and fourth volumes of Poggendorff's Biographisch-Literarisches Handwörterbuch der exakten Naturwissenschaften.

Oettingen was a primary advocate of a theory of acoustical relationships known as "harmonic dualism".

He later created a musical instrument, the Orthotonophonium - a pump organ using 72 notes per octave, to further advocate harmonic dualism.