Harmonics 128–256: Difference between revisions

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~~'''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 ~~'''8th 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 (27, hence 8th 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 (27, hence 8th 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 8th 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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* [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.

[[Category:Harmonic series]]

[[Category:Primodality]]

[[Category:Listen]]

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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.
@@ Line 34: / Line 34: @@
 * [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.
+{{Navbox harmonics}}
 [[Category:Harmonic series]]
 [[Category:Primodality]]
 [[Category:Listen]]