Here is a page of a document added to The Journal of Anaphorian Music Theory. The document looks at one simple way one can derive tetrachordal scales from a subharmonic series. Such scales have been observed on equally spaced holes on flutes as well possibly the Greek Aulos. Regardless of the case, the scales manage to touch upon some well known ancient Greek ones as well as presenting a method to finding others. Such a method could be easily tuned with only an ability to tune fourths and fifths above a given note.
A direct link to the PDF is also Here.