IV. 4) Common Notes

in the Scales

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by dr. fazli arslan
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start: 09 january 2007, up-date: 09 january 2007
Rather than these some other kinds in octave can be arranged. Safi al-Dîn explains this with an example. Let's take the scale arranged with the intervals of "the second conjunct kind" in the bass octave.
The order of 9/8x10/9x16/15=4/3 here is the ratios of "the second conjunct kind" with those of the first class. The third class of the same kind is like 10/9x16/15x9/8=4/3. This third class here exists between B and h. As it is mentioned here it is possible to see several more tetrachords in this way in these scales. Safi al-Dîn calls them "bahr".
The tetrachord between B and h here is accepted as "second bahr". Also, C-V tetrachord is the ratios of "the second conjunct kind" with its sixth class and it is called as the "third bahr" in the scale. D-Z tetrachord is the "fourth bahr" and the ratios are the same as those of the first one. h-H tetrachord has the same values as those of the second tetrachord. Safi al-Dîn calls the total of these bahr (tetrachordal species) in one octave as "shadd".
Safi al-Dîn gave the bahrs (tetrachords) mentioned above in his Kitâb al-Adwâr in one octave with the keys of Râst scale. (10) In al-Sharafiyyah he showed the eight different octaves which are in two octaves that he presented with a table. (11)