i'll have to take a closer look at the current version of the article because i have an uneasy feeling that the answer actually is found in one of the subsidiary articles such as lydian mode the short answer is that the connection between the greek harmoniai and the medieval modes is more tenuous than you appear to believe and the connection between medieval and modern modes is fairly straightforward the modern system is actually that of common practice tonality and modal usage within that context begins to establish itself as a separate idea during the th century the chief difference from medieval practice is a more rigid adherence to the diatonic notes of the scale for example in the medieval system there is no practical difference between the lydian scale and what we call the major scale or between the dorian and what we call the minor scale in order to differentiate modal flavor from the chromatic flexibility of the upper half of the minor scale for example it became necessary to insist on always using the minor seventh scale degree especially in ascent to the tonic and the sixth degree had to be always major to identify dorian and always minor to identify aeolian no such practice existed up to the th century and indeed it was only with glareanus in the mid th century that a theoretical difference was made between dorian and aeolian on the one hand and lydian and ionian on the other i shall see what i can do to clear this up using reliable sources of course