M.Ted - Slip of the finger; sorry - I meant Ionian, of course.

Jack - When I say Pythagorean scale, I mean a diatonic scale derived from the cycle of fifths. This is how I tune my medieval harp & the thirds sound just fine to my ears, much as they do on the citera. According to Panum (etc.) the European Board Zither (which she refers to as the Balk Monochord, including such instruments as the citera) derives from the Pythagorean monochord. I dare many will dispute this (even I find it a bit far fetched) but it seems at least apposite to a call a fretted non-tempered diatonic scale on a monochordal instrument with such a supposed provenance Pythagorean, though I dare the actual scale on this instrument derives more from the pragmatics of trial & error on the part of the maker than any familiarity with Ancient Greek mathematics as such.

This stuff always gave me a headache to be honest, but years of reading Harry Partch has left me with an enduring mistrust of the various givens of Western Classical Music and the theory and practise thereof.