User:Unque/Chord interlacing (scale building method): Difference between revisions
Created page with "Chord Interlacing is a method of building scales out of a chord. == Scale Formation == File:Mode 7 Interlace.png|thumb|An example of a Chord Interlace scale, built using th..." |
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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 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. | |||
== Other Applications == | == Other Applications == | ||
Chord Interlace scales can be used to approximate other musical traditions, such as the Arabic Ajnas and Maqamat. If we interpret [https://maqamworld.com/en/jins/upper_rast.php Jins Rast] as a 9::12 tetrachord, for instance, then the Chord Interlace scale built from this tetrachord provides a convincing [https://maqamworld.com/en/maqam/rast.php Maqam Rast]. | Chord Interlace scales can be used to approximate other musical traditions, such as the Arabic Ajnas and Maqamat. If we interpret [https://maqamworld.com/en/jins/upper_rast.php Jins Rast] as a 9::12 tetrachord, for instance, then the Chord Interlace scale built from this tetrachord provides a convincing [https://maqamworld.com/en/maqam/rast.php Maqam Rast]. | ||
Additionally, chord interlace scales can provide a useful structure for a JI or tempered scale. Any and all chords can be used to generate | Additionally, chord interlace scales can provide a useful structure for a JI or tempered scale. Any and all chords can be used to generate such a scale - this includes [[Harmonic series segment|overtone segments]], undertone segments, [[generator]] patterns, [[Delta-rational chord|DR chords]], or any other arbitrarily-chosen chords the composer may want to use. | ||