Adaptive just intonation: Difference between revisions
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'''Adaptive | '''Adaptive just intonation''' ('''adaptive JI''') is an approach to [[just intonation]] that employs predefined musical intervals as frequency ratios over a floating tonal center that is defined by the most recent context. | ||
== Description == | == Description == | ||
In an adaptive JI context, any given moment during a piece of music has a reference pitch to which the rest of the music is compared. | In an adaptive JI context, any given moment during a piece of music has a reference pitch to which the rest of the music is compared. | ||
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Then the D in the IV chord is 4:3 with respect to A, which was the tonic of the chord immediately proceeding it. The E in the E7 chord is the same whether defined relative to the proceeding D chord (9:8 relative to D) or referencing back to the original tonal center of A (because 3:2 is the same as 9:8 of 4:3), but the D in the E7 chord is 9:5 relative to the E (9:5 of 3:2 is 27:20 compared to the original A), which is different than the D in the proceeding D major chord (which was 4:3 compared to the original A). | Then the D in the IV chord is 4:3 with respect to A, which was the tonic of the chord immediately proceeding it. The E in the E7 chord is the same whether defined relative to the proceeding D chord (9:8 relative to D) or referencing back to the original tonal center of A (because 3:2 is the same as 9:8 of 4:3), but the D in the E7 chord is 9:5 relative to the E (9:5 of 3:2 is 27:20 compared to the original A), which is different than the D in the proceeding D major chord (which was 4:3 compared to the original A). | ||
==Software== | == Software == | ||
* [http://www.math.tu-dresden.de/%7Emutabor/ Mutabor] Windows, Linux and Mac OS X. Uses its own programming language to describe pitches, (re)tunings and reactions to events. | * [http://www.math.tu-dresden.de/%7Emutabor/ Mutabor] Windows, Linux and Mac OS X. Uses its own programming language to describe pitches, (re)tunings and reactions to events. | ||
* [http://www.TallKite.com/alt-tuner.html alt-tuner] PCs, macs and Linux/Wine. DAW plug-in (requires [http://reaper.fm/ REAPER]) that retunes almost every midi keyboard or softsynth. | * [http://www.TallKite.com/alt-tuner.html alt-tuner] PCs, macs and Linux/Wine. DAW plug-in (requires [http://reaper.fm/ REAPER]) that retunes almost every midi keyboard or softsynth. | ||
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* [http://tonesintune.com/ TonesInTune] Add-in to Microsoft Excel (x32 & composition only). Re-introduces dynamic intonation, a key feature of most acoustic music instruments. | * [http://tonesintune.com/ TonesInTune] Add-in to Microsoft Excel (x32 & composition only). Re-introduces dynamic intonation, a key feature of most acoustic music instruments. | ||
* [http://www.hermode.com/index_en.html Hermode tuning] Algorithm/feature embedded in 3rd party applications. Tunes only the fifths and thirds of electronic instruments dynamically in real time. | * [http://www.hermode.com/index_en.html Hermode tuning] Algorithm/feature embedded in 3rd party applications. Tunes only the fifths and thirds of electronic instruments dynamically in real time. | ||
* [https://www.dmitrivolkov.com/projects/pivotuner/ Pivotuner] VST3/AU plugin for macOS/Windows. Uses fixed just intervals to a dynamically-changing root. | |||
== Music == | |||
* [http://www.seraph.it/XenoTunes2.html ''Piano11''] by [[Carlo Serafini]] | |||
* [http://www.seraph.it/dep/det/CarlosGlass1.mp3 ''Carlos Glass 1''] by [[Carlo_Serafini|Carlo Serafini]] ([http://www.seraph.it/blog_files/6188507c0c6f464ef6c23330eb9153e9-16.html blog entry]) | |||
* [http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/localanomaly.html ''Local Anomaly''] by [[William Sethares]] | |||
* [http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/three_ears.html ''Three Ears''] by William Sethares | |||
* ''Microtonal Composition in "Fluid Just Intonation"'' by [[Rosie Sheldon]] (2021) | |||
** [https://www.youtube.com/watch?v=IKjNIBEGtVc listen on YouTube] | |||
** [https://rosiesheldon.bandcamp.com/track/microtonal-composition-in-fluid-just-intonation listen on Bandcamp] | |||
* [https://youtu.be/idUG-x8kT3o ''Gesualdo's Dolcissima mia vita in three comparative tunings after translation to english''] (0:00 to 5:05) — rendered by [[Chris Vaisvil]], 2025 | |||
* [https://youtu.be/Vl-hpAL9Ouc ''Xenexhibition (for solo keyboard)''] by [[Dmitri Volkov]] | |||
== | == Approaches == | ||
This is a list of specific subtypes of adaptive just intonation. | |||
* [ | This list is by nature always incomplete as there are so many possible approaches. Feel free to add to it: | ||
* | |||
* [ | * [[Fluid just intonation]]{{idiosyncratic}} | ||
* | |||
{{todo|complete list|text=add at least 2 more examples}} | |||
== Related tuning systems == | |||
Hybrid systems which attempt to combine tempered and just tuning, often tend to employ similar techniques to adaptive JI. Examples of such systems include: | |||
* Barbershop music | |||
** {{w|Barbershop music|Wikipedia: Barbershop music}} | |||
** [[User:Unque/Barbershop Tuning Theory]] | |||
* Neely-intonalism{{idiosyncratic}} | |||
** ''Described in [[Intonalism]]'' | |||
== External links == | == External links == | ||
* [http://www.tonalsoft.com/enc/a/adaptive-ji.aspx Definition of Adaptive JI (Tonalsoft encyclopedia)] | * [http://www.tonalsoft.com/enc/a/adaptive-ji.aspx Definition of Adaptive JI (Tonalsoft encyclopedia)] | ||
[[Category:Just intonation]] | [[Category:Just intonation]] | ||