View source for 128afdo

The 8<sup>th</sup> Octave Overtone Tuning, sometimes known as 128 Tuning or 128[[afdo]], is a tuning developed by [[Johnny Reinhard|Johnny Reinhard]].

It consists of harmonics of the [[OverToneSeries|harmonic series]], numbers 128 (2<sup>8</sup>, hence 8<sup>th</sup> octave) through 255. It is an [[Overtone_scale#Over-1_scales|Over-1 scale]], specifically [[Harmonic_mode|Mode 128]] of the harmonic series.

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 [[wikipedia:Psychoacoustics|psychoacoustic]] presence.

An illustratively surprising result of this higher harmonic tuning is that, since a just [[4/3]] does not have a power of 2 in the denominator and thus does not exist in the (octave-reduced) harmonic series, it will not be used in this tuning. Instead, when the inverse of the [[3/2]] ratio is needed, one may use [[43/32]] (511.517706¢) or [[171/128]] (501.423018¢). 

== Reading ==

[https://stereosociety.com/20/jpg/Johnny-Reinhard/8th-Octave-Overtone-Tuning.pdf Johnny Reinhard's original paper]. 

[https://www.cassgb.org/features/post/128-note-octave/ 128 NOTES PER OCTAVE ON THE SAXOPHONE: HOW I DID IT AND WHY!: Saxophonist Philipp Gerschlauer on how he went about devising a 128-note per octave fingering chart]

[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]

== See also ==

[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.

== Scores ==

[https://nuotisto.s3-eu-west-1.amazonaws.com/store/e6fc131f958d13f87f3ea56b0d57beab50473c79bbc5a705b0dd6878214a.pdf Juhani Nuorvala - Toivo 128]
 
== Listening ==

[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]

[https://johnnyreinhard.bandcamp.com/track/toivo-128-by-juhani-nuorvala-for-bassoon-and-pre-recording Juhani Nuorvala - Toivo 128 for bassoon and pre-recording]

[https://www.youtube.com/watch?v=sfWV4rNB6KE Well Tuned Piano] (actually up to the 11th octave harmonics, but same idea)

[https://www.youtube.com/watch?v=t4re9tjY5es Symphony #3 “Gloria”] (actually only the 7th octave harmonics, but the same idea)

[https://store.cdbaby.com/cd/johnnyreinhard1 Johnny Reinhard - True]

[https://www.youtube.com/watch?v=lGa66qHzKME 128 notes per octave on Alto Saxophone - Philipp Gerschlauer]

Composers John Eaton, Rovner, Thoegersen, Golden, and others have also worked with 8<sup>th</sup> Octave Overtone Tuning.
[[Category:Harmonic series]]
[[Category:Listen]]