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Harmonics 128–256: Difference between revisions

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{{Infobox AFDO|steps=128}}
{{Infobox harmonics|128}}


'''128afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''128odo''' ([[otonal division]] of the octave), divides the octave into 128 parts of 1/128 each. It is a superset of [[127afdo]] and a subset of [[129afdo]]. As a scale it may be known as [[harmonic mode|mode 128 of the harmonic series]] or the [[overtone scale #Over-n scales|Over-128]] scale.
{{Harmonics intro|128|aka=8th octave overtone tuning; 128 tuning}}


The '''8<sup>th</sup> Octave Overtone Tuning''', sometimes known as '''128 Tuning''', is a tuning developed by [[Johnny Reinhard]]. It is equivalent to 128afdo, except that it has a fixed root and cannot be rotated. It consists of harmonics of the [[harmonic series]], numbers 128 (2<sup>7</sup>, hence 8<sup>th</sup> octave) through 255. It is an Over-1 scale, specifically mode 128 of the harmonic series. Scales can be selected as subsets of these 128 pitches, or the entire set can be used.
The tuning was developed by [[Johnny Reinhard]]. It differs from the scale only in that it has a fixed root and cannot be rotated. It consists of harmonics 128 (2<sup>7</sup>, hence 8<sup>th</sup> octave) through 255. Scales can be selected as subsets of these 128 pitches, or the entire set can be used.


A key benefit of using pitches exclusively from the same harmonic series is that they share a fundamental. By using the 8<sup>th</sup> octave of a harmonic series, said fundamental will almost certainly be [https://www.merriam-webster.com/dictionary/infrasonic infrasonic], but it will still have a [[psychoacoustic]] presence.
A key benefit of using pitches exclusively from the same harmonic series is that they share a fundamental. By using the 8<sup>th</sup> octave of a harmonic series, said fundamental will almost certainly be [https://www.merriam-webster.com/dictionary/infrasonic infrasonic], but it will still have a [[psychoacoustic]] presence.
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== Music ==
== Music ==
* [https://johnnyreinhard.bandcamp.com/track/most-recent-for-johnny-reinhard-by-georg-friedrich-haas-for-solo-bassoon-in-128-tuning Georg Friedrich Haas - FOR JOHNNY REINHARD for bassoon in 128]{{dead link}}
; [[Georg Friedrich Haas]]
* [https://johnnyreinhard.bandcamp.com/track/toivo-128-by-juhani-nuorvala-for-bassoon-and-pre-recording Juhani Nuorvala - Toivo 128 for bassoon and pre-recording]{{dead link}}
* [https://www.youtube.com/watch?v=TxGcveURI-I ''For Johnny Reinhard''] (2015)
* [https://www.youtube.com/watch?v=sfWV4rNB6KE Well Tuned Piano]{{dead link}} (actually up to the 11th octave harmonics, but same idea)
 
* [https://store.cdbaby.com/cd/johnnyreinhard1 Johnny Reinhard - True]{{forbidden}} <!-- subscription required -->
; [[Johnny Reinhard]]
* [https://open.spotify.com/album/7jtoRTNK2Pm7vxkq5PH12b ''True''] (2014)


; [[Glenn Branca]]
; [[Glenn Branca]]
* [https://www.youtube.com/watch?v=t4re9tjY5es ''Symphony #3 "Gloria"''] (1983) – actually only the 7th octave harmonics, but the same idea
* [https://www.youtube.com/watch?v=t4re9tjY5es ''Symphony #3 "Gloria"''] (1983) – actually only the 7<sup>th</sup> octave harmonics, but the same idea


; [[Philipp Gerschlauer]]
; [[Philipp Gerschlauer]]
* [https://www.youtube.com/watch?v=lGa66qHzKME ''128 notes per octave on Alto Saxophone'']
* [https://www.youtube.com/watch?v=lGa66qHzKME ''128 notes per octave on Alto Saxophone''] (2015)


; [[Juhani Nuorvala]]
; [[Juhani Nuorvala]]
* [https://nuotisto.s3-eu-west-1.amazonaws.com/store/e6fc131f958d13f87f3ea56b0d57beab50473c79bbc5a705b0dd6878214a.pdf ''Toivo 128''] (2017) – bassoon solo accompanied by a soundtrack (score only)
* ''Toivo 128'' (2017) [https://soundcloud.com/juhani-nuorvala/toivo-128 recording] [https://nuotisto.s3-eu-west-1.amazonaws.com/store/e6fc131f958d13f87f3ea56b0d57beab50473c79bbc5a705b0dd6878214a.pdf score]
   
   
Composers John Eaton, Rovner, Thoegersen, Golden, and others have also worked with 8<sup>th</sup> Octave Overtone Tuning{{citation needed}}.
Composers John Eaton, Anton Rovner, Peter Alexander Thoegersen, Monroe Golden, and others have also worked with 8<sup>th</sup> Octave Overtone Tuning.{{citation needed}}


== External links ==
== External links ==
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* [https://books.google.com/books/about/8th_Octave_Overtone_Tuning_and_Bassoon_F.html?id=YE9gAQAACAAJ Johnny Reinhard - 8th Octave Overtone Tuning and Bassoon Fingerings in 128]
* [https://books.google.com/books/about/8th_Octave_Overtone_Tuning_and_Bassoon_F.html?id=YE9gAQAACAAJ Johnny Reinhard - 8th Octave Overtone Tuning and Bassoon Fingerings in 128]
* [https://www.kylegann.com/13th-Harmonic.html The tuning for Nursery Tunes for Demented Children by Kyle Gann] is a subset of 8th Octave Overtone Tuning.
* [https://www.kylegann.com/13th-Harmonic.html The tuning for Nursery Tunes for Demented Children by Kyle Gann] is a subset of 8th Octave Overtone Tuning.
{{Navbox harmonics}}


[[Category:Harmonic series]]
[[Category:Harmonic series]]
[[Category:Primodality]]
[[Category:Primodality]]
[[Category:Listen]]
[[Category:Listen]]
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