Mixture of Soft Diatonic, viz.-- [Greek: parypatai], of the cithara. Mixture of [Greek: diatonon syntonon], viz.-- [Greek: lydia] } of the cithara. [Greek: iastia] } It is added, however, that in their use of this last 'mixture' musicians are in the habit of tuning the cithara in the Pythagorean manner, with two Major tones and a [Greek: leimma] (called [Greek: diatonon ditoniaion]). In the second passage (ii. 16) the scales of the lyre are given first, then those of the cithara with the key of each. The order is the same, except that [Greek: parypatai] comes before [Greek: tropika] (now called [Greek: tropoi]), and [Greek: lydia] is placed last. The words [Greek: ta de lydia hoi tou toniaiou diatonou] [sc. [Greek: arithmoi periechousi]] [Greek: tou dôriou] cannot be correct, not merely because they contradict the statement of the earlier passage that [Greek: lydia] denoted a mixture with [Greek: diatonon syntonon] (or in practice [Greek: diatonon ditoniaion]), but also because the scales that do not admit mixture are placed first in the list in both passages. Hence we should doubtless read [Greek: ta de lydia hoi <tou migmatos> tou <di>toniaiou diatonou tou Dôriou].] Of the six scales two are of the Hypo-dorian or Common species (_a-a_). One of these, called [Greek: tritai], is purely Diatonic of the Middle Soft variety; the intervals expressed by fractions are as follows: _a_ 9/8 _b_ 28/27 _c_ 8/7 _d_ 9/8 _e_ 28/27 _f_ 8/7 _g_ 9/8 _a_ The other, called [Greek: tropoi] or [Greek: tropika], is a mixture, Middle Soft Diatonic in the upper tetrachord, and Chromatic in the lower: _a_ 9/8 _b_ 22/21 _c_ 12/11 _c_[Symbols: sharp] 7/6 _e_ 28/27 _f_ 8/7 _g_ 9/8 _a_ Two scales are of the Dorian or _e_-species, viz. [Greek: parypatai], a combination of Soft and Middle Soft Diatonic: _e_ 21/20 _f_ 10/9 _g_ 8/7 _a_ 9/8 _b_ 28/27 _c_ 8/7 d 9/8 _e_ and [Greek: lydia], in which the upper tetrachord is of the strict or 'highly strung' Diatonic ([Greek: diatonon syntonon]--our 'natural' temperament): _e_ 28/27 _f_ 8/7 _g_ 9/8 _a_ 9/8 _b_ 16/15 _c_ 9/8 _d_ 10/9 _e_