Adaptive just intonation: Difference between revisions
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'''Adaptive Just Intonation''' is an approach to tuning that employs predefined musical intervals as frequency ratios over a floating tonal center that is defined by the most recent context. | |||
Adaptive Just Intonation is an approach to tuning that employs predefined musical intervals as frequency ratios over a floating tonal center that is defined by the most recent context. | |||
== 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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If we further define JI intervals in this example as: | If we further define JI intervals in this example as: | ||
Major Second: 9:8 | * Major Second: [[9/8|9:8]] | ||
* Major Third: [[5/4|5:4]] | |||
Major Third: 5:4 | * Perfect Fourth: [[4/3|4:3]] | ||
* Perfect Fifth: [[3/2|3:2]] | |||
Perfect Fourth: 4:3 | * Dominant Seventh: [[9/5|9:5]] | ||
Perfect Fifth: 3:2 | |||
Dominant Seventh: 9:5 | |||
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.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.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.nonoctave.com/tuning/LilMissScaleOven/features.html L'il Miss' Scale Oven] OS X application. Has a proprietary dynamic retuning system called ''Nuscale.'' | |||
* [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. | |||
==Compositions== | |||
[http:// | * [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 | |||
* [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/ | |||
== External links == | |||
[http://www. | * [http://www.tonalsoft.com/enc/a/adaptive-ji.aspx Definition of Adaptive JI (Tonalsoft encyclopedia)] | ||
[ | [[Category:Just intonation]] | ||