User:BudjarnLambeth/Polytriadic: Difference between revisions
As I was brainstorming how to approach the shoal temperament, this concept came to me, and I immediately realised it could be widely applicable across many tunings. I'm sure others have done it before, but I'm not sure if anyone has named it before. |
m BudjarnLambeth moved page Polytriadic to User:BudjarnLambeth/Polytriadic |
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A '''polytriadic tuning'''{{idiosyncratic}} is a [[tuning]] for an ensemble of 2 or more [[instrument]]s, where each instrument or group of instruments is tuned to a different [[triad]], and uses that triad as a [[scale]]. | A '''polytriadic tuning'''{{idiosyncratic}} is a [[tuning]] for an ensemble of 2 or more [[instrument]]s, where each instrument or group of instruments is tuned to a different [[triad]], and uses that triad as a [[scale]]. | ||
All of the triads should be subsets of | All of the triads should be subsets of one larger overarching scale or tuning. | ||
'''Polytriadic music'''{{idiosyncratic}} is music that utilises such a tuning. | '''Polytriadic music'''{{idiosyncratic}} is music that utilises such a tuning. | ||
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Polytriadic tunings can be a useful way to approach a tuning that does not possess any consonant small [[MOS scale]]s. This means that most high-complexity, high-accuracy temperaments, including [[microtemperament]]s, could be well suited to polytriadic approaches. This could include some of the temperaments in the columns towards the right of the tables in the [[survey of efficient temperaments by subgroup]]. | Polytriadic tunings can be a useful way to approach a tuning that does not possess any consonant small [[MOS scale]]s. This means that most high-complexity, high-accuracy temperaments, including [[microtemperament]]s, could be well suited to polytriadic approaches. This could include some of the temperaments in the columns towards the right of the tables in the [[survey of efficient temperaments by subgroup]]. | ||
Polytriadicism can be a useful way to explore very large [[just intonation]] scales, such as very large [[combination product sets]] or [[primodal]] scales, which might not otherwise have an intuitive way to subdivide them, especially if they haven't yet been studied or explored much. | |||
Polytriadicism can also be a useful way to explore ''xenrythmic'' concepts, such as polyrhythms or unusual time signatures, as each triad could be used to harmonically 'label' or 'flag' one particular rhythmic element, helping to more clearly distinguish the different rhythmic lines or concepts in a piece from one another. | |||
Polytriadic tunings | Polytriadic tunings lend themselves to algorithmic, generative music, using modular synthesizers or something similar. They can help to distill consonance out of random or semi-random atmospheric noise. | ||
== Generalization of the idea == | == Generalization of the idea == | ||
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There are many possible polytriadic tunings such a piece could use, but here is just one of them: | There are many possible polytriadic tunings such a piece could use, but here is just one of them: | ||
* 4 instruments total (standard string | * 4 instruments total (standard string quartet) | ||
* Violin 1 tuned to the scale 300c, 700c, 1200c (in the key of C major, that is: Eb, G, C) | * Violin 1 tuned to the scale 300c, 700c, 1200c (in the key of C major, that is: Eb, G, C) | ||
* Violin 2 tuned to the scale 400c, 700c, 1200c (in the key of C major, that is: E, G, C) | * Violin 2 tuned to the scale 400c, 700c, 1200c (in the key of C major, that is: E, G, C) | ||
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This should give some idea of what a polytriadic tuning can look like. But of course there can be as few as two instruments/voices, or as many as tens or even hundreds. There can be multiple instruments tuned to the same triad. And there can be any parent tuning or scale, not just 12edo. | This should give some idea of what a polytriadic tuning can look like. But of course there can be as few as two instruments/voices, or as many as tens or even hundreds. There can be multiple instruments tuned to the same triad. And there can be any parent tuning or scale, not just 12edo. | ||
== See also == | |||
* [[Shoal17]]: Lists some triads specifically for use in polytriadicism. | |||
[[Category:Tuning]][[Category:Triad]] | [[Category:Tuning]][[Category:Triad]] | ||