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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | '''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. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:whatmusicreallyis|whatmusicreallyis]] and made on <tt>2017-09-04 07:17:09 UTC</tt>.<br>
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| : The original revision id was <tt>617144761</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[http://www.tonalsoft.com/enc/a/adaptive-ji.aspx|Definition of Adaptive JI (Tonalsoft encyclopedia)]]
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| ==Software== | | == Description == |
| [[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.
| | 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. |
| [[@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://www.nonoctave.com/tuning/LilMissScaleOven/features.html|L'il Miss' Scale Oven]] OS X application. Has a proprietary dynamic retuning system called //Nuscale.//
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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.
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| [[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.
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| ==Compositions==
| | For example, take a song in the key of A major with a basic cadence of I - IV - V7 - I. Traditionally, the chords would be A - D - E7 - A, spelled A C# E, D F# A, E G# B D, and then again A C# E. Although the key of the cadence is always A, the reference pitch for each chord in the cadence is different. |
| [[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 | | If we further define JI intervals in this example as: |
| [[http://www.seraph.it/XenoTunes2.html|Piano11]] by Carlo Serafini | | |
| [[http://www.seraph.it/dep/det/CarlosGlass1.mp3|Carlos Glass 1]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/6188507c0c6f464ef6c23330eb9153e9-16.html|blog entry]])</pre></div> | | * Major Second: [[9/8|9:8]] |
| <h4>Original HTML content:</h4>
| | * Major Third: [[5/4|5:4]] |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>AdaptiveJI</title></head><body><a class="wiki_link_ext" href="http://www.tonalsoft.com/enc/a/adaptive-ji.aspx" rel="nofollow">Definition of Adaptive JI (Tonalsoft encyclopedia)</a><br />
| | * Perfect Fourth: [[4/3|4:3]] |
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| | * Perfect Fifth: [[3/2|3:2]] |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Software"></a><!-- ws:end:WikiTextHeadingRule:0 -->Software</h2>
| | * Dominant Seventh: [[9/5|9:5]] |
| <a class="wiki_link_ext" href="http://www.math.tu-dresden.de/%7Emutabor/" rel="nofollow">Mutabor</a> Windows, Linux and Mac OS X. Uses its own programming language to describe pitches, (re)tunings and reactions to events.<br />
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| <a class="wiki_link_ext" href="http://www.TallKite.com/alt-tuner.html" rel="nofollow" target="_blank">alt-tuner</a> PCs, macs and Linux/Wine. DAW plug-in (requires <a class="wiki_link_ext" href="http://reaper.fm/" rel="nofollow" target="_blank">REAPER</a>) that retunes almost every midi keyboard or softsynth.<br />
| | 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). |
| <a class="wiki_link_ext" href="http://www.nonoctave.com/tuning/LilMissScaleOven/features.html" rel="nofollow" target="_blank">L'il Miss' Scale Oven</a> OS X application. Has a proprietary dynamic retuning system called <em>Nuscale.</em><br />
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| <a class="wiki_link_ext" href="http://tonesintune.com/" rel="nofollow" target="_blank">TonesInTune</a> Add-in to Microsoft Excel (x32 &amp; composition only). Re-introduces dynamic intonation, a key feature of most acoustic music instruments.<br />
| | == Software == |
| <a class="wiki_link_ext" href="http://www.hermode.com/index_en.html" rel="nofollow">Hermode tuning</a> Algorithm/feature embedded in 3rd party applications. Tunes only the fifths and thirds of electronic instruments dynamically in real time.<br />
| | * [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. |
| <br />
| | * [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. |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Compositions"></a><!-- ws:end:WikiTextHeadingRule:2 -->Compositions</h2>
| | * [http://www.nonoctave.com/tuning/LilMissScaleOven/features.html L'il Miss' Scale Oven] OS X application. Has a proprietary dynamic retuning system called ''Nuscale.'' |
| <a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/localanomaly.html" rel="nofollow">Local Anomaly</a> by William Sethares<br />
| | * [http://tonesintune.com/ TonesInTune] Add-in to Microsoft Excel (x32 & composition only). Re-introduces dynamic intonation, a key feature of most acoustic music instruments. |
| <a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/three_ears.html" rel="nofollow">Three Ears</a> by William Sethares<br />
| | * [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. |
| <a class="wiki_link_ext" href="http://www.seraph.it/XenoTunes2.html" rel="nofollow">Piano11</a> by Carlo Serafini<br />
| | * [https://www.dmitrivolkov.com/projects/pivotuner/ Pivotuner] VST3/AU plugin for macOS/Windows. Uses fixed just intervals to a dynamically-changing root. |
| <a class="wiki_link_ext" href="http://www.seraph.it/dep/det/CarlosGlass1.mp3" rel="nofollow">Carlos Glass 1</a> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> (<a class="wiki_link_ext" href="http://www.seraph.it/blog_files/6188507c0c6f464ef6c23330eb9153e9-16.html" rel="nofollow">blog entry</a>)</body></html></pre></div>
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| | == 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]] |
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| | == Approaches == |
| | This is a list of specific subtypes of adaptive just intonation. |
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| | This list is by nature always incomplete as there are so many possible approaches. Feel free to add to it: |
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| | * [[Fluid just intonation]]{{idiosyncratic}} |
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| | {{todo|complete list|text=add at least 2 more examples}} |
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| | == 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]]'' |
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| | == External links == |
| | * [http://www.tonalsoft.com/enc/a/adaptive-ji.aspx Definition of Adaptive JI (Tonalsoft encyclopedia)] |
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| | [[Category:Just intonation]] |