Aach (variants Ach, Ache; Aa) is a widespread Upper German hydronym, from an Old High German aha (Proto-Germanic *ahwō) 'running water' (ultimately from PIE *hakʷā- '(moving) water'). The word has also been reduced to a frequent suffix -ach in Alemannic and Austro-Bavarian toponymy. The word is cognate with Old English ǣ (reflected in English placenames as -ea, also Yeo, Eau), Old Frisian ē, Old Saxon aha, Low Franconian Aa, Old Norse á, Gothic aƕa, all meaning 'river, running water'.

The Old High German contraction from -aha to -aa, -â in compound hydronyms present from an early time (early 9th century). The simplex noun aha remained uncontracted, however, and Old High German -aha (Modern German -ach) could be restituted in compounds at any time.^[1]

Related is the German Aue (variant Au) with a meaning 'river island, wetland, floodplain, riparian woodland', i.e. a cultivated landscape in a riparian zone. It is derived from the same root, but with a -yo- suffix (Proto-Germanic *awjō). This word was also reduced to a suffix, as -au (as in Reichenau). It is frequent as a river name, as in Große Aue, Aue (Elbe), Aue (Weser), etc., as well as the name of a settlement, as in Aue, Saxony; Au, St. Gallen; Au, Vorarlberg; Au am Rhein; Au am Leithaberge; etc.

The river-name Aach in Upper Germany is reserved for broad, but non-navigable, running streams with noticeable gradient sufficient to power water mills; it contrasts with Fluss used for navigable rivers on one hand, and with Bach for minor brooks or rivulets. An instructive example is Salzach, now classed as a Fluss ('river') but formerly as Ache as it was only navigable by raft, not by regular riverboats.

Hydronymy in -ach generally indicates a Germanic settlement in the early medieval or migration period, while names in -bach indicate names of the high medieval period.^[2] In French, the Old Frankish form evolved into aix, as in Aix-en-Provence, Aix-les-Bains; the Italian reflex is -acco. Hydronyms such as Aar, Ahr, and Acher reflect a cognate Celtic word.

• Berger, Dieter (1999). Duden, Geographische Namen in Deutschland. Herkunft und Bedeutung der Namen von Ländern, Städten, Bergen und Gewässern (2nd ed.). Mannheim: Duden. ISBN 3-411-06252-5.
• König, Werner (1994). "dtv-Atlas Nr. 3025". dtv-Atlas zur deutschen Sprache. Tafeln und Texte (10th ed.). München. ISBN 3-423-03025-9.{{cite book}}: CS1 maint: location missing publisher (link)

• All pages with titles containing Aach
• All pages with titles containing Ache
• German toponymy
• List of early medieval watermills