User:Unque/Chord interlacing (scale building method): Difference between revisions
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== Ancient Greek Genera == | == Ancient Greek Genera == | ||
The Ancient Greek genera can be interpreted as Chord Interlace scales. A five-limit shade of the Genus Diatonic, for instance, can be created using the chord | The Ancient Greek genera can be interpreted as Chord Interlace scales. A five-limit shade of the Genus Diatonic, for instance, can be created using the chord 10/9 - 5/4 - 4/3 (with step sizes 10/9 - 9/8 - 16/15), and a seven-limit shade can be created with the chord 8/7 - 9/7 - 4/3 (with step sizes 8/7 - 9/8 - 28/27). Scales of the other genera can be similarly created by interlacing the [[Tetrachord|tetrachords]] thereof. | ||
The modern equal-tempered tunings of the [[5L 2s|Diatonic]] scale can be similarly created using the [[12edo|12-EDO]] chord 2 - 4 - 5, with step sizes 2 - 2 - 1; this can also be extended to other tunings thereof, such as [[17edo|17-EDO]] (with the chord 3 - 6 - 7), [[19edo|19-EDO]] (with the chord 3 - 6 - 8), [[31edo|31-EDO]] (with the chord 5 - 10 - 13), and any other desired shade of the diatonic scale. | The modern equal-tempered tunings of the [[5L 2s|Diatonic]] scale can be similarly created using the [[12edo|12-EDO]] chord 2 - 4 - 5, with step sizes 2 - 2 - 1; this can also be extended to other tunings thereof, such as [[17edo|17-EDO]] (with the chord 3 - 6 - 7), [[19edo|19-EDO]] (with the chord 3 - 6 - 8), [[31edo|31-EDO]] (with the chord 5 - 10 - 13), and any other desired shade of the diatonic scale. | ||
== Maqamat and Ajnas == | == Maqamat and Ajnas == | ||
The Arabic Maqamat are built using chords called Ajnas. For instance, Maqam Rast is created using two Ajnas Rast (though the Perfect Fifth is typically considered to be contained in the lower tetrachord, making Jins Upper Rast distinct from Lower Rast). If we take an approximation of the four-note Jins Rast, such as the 9: | The Arabic Maqamat are built using chords called Ajnas. For instance, Maqam Rast is created using two Ajnas Rast (though the Perfect Fifth is typically considered to be contained in the lower tetrachord, making Jins Upper Rast distinct from Lower Rast). If we take an approximation of the four-note Jins Rast, such as the 9::12 harmonic segment, we can use a Chord Interlace scale to create a reasonable approximation of Maqam Rast. This can also be done for other Maqamat whose Jins are identical or nearly so, such as 'Ajam and Hijazkar. | ||
Keep in mind that while the generated scales might sound similar to the traditional maqamat, this method of approximation is extremely crude, and a very poor representation of the actual traditions. | Keep in mind that while the generated scales might sound similar to the traditional maqamat, this method of approximation is extremely crude, and a very poor representation of the actual traditions. | ||