Harmonics 80–160: Difference between revisions

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{{Infobox AFDO|steps=80}}
{{Infobox harmonics|80}}


'''80afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''80odo''' ([[otonal division]] of the octave), divides the octave into 80 parts of 1/80 each. As a scale it may be known as [[Harmonic mode|mode 80 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-80]] scale.
{{Harmonics intro|80}}


As a higher octave of [[5afdo]], 80afdo can be used as an over-5 scale in [[primodality]].
As a higher octave of [[Harmonics 5–10|harmonics 5–10]], this scale can be used as an over-5 scale in [[primodality]].


== Scales ==
== Scales ==
{{See also| 5- to 10-tone scales from the modes of the harmonic series }}
{{See also| 5- to 10-tone scales from the modes of the harmonic series }}
{{Idiosyncratic terms|Cosmic, Lost Spirit and "sharpened"/"flattened"/"evened" names coined by and so far only used by [[Budjarn Lambeth]].}}




Major: 90/80 - 101/80 - 107/80 - 120/80 - 135/80 - 151/80 - 160/80
Major: 90/80 - 101/80 - 107/80 - 120/80 - 135/80 - 151/80 - 160/80
(approximated: compromise between [[12edo]]'s [[meantone]], [[91edo]]'s meantone, and 15-integer-limit JI)
[[Lost spirit]]: 96/80 - 107/80 - 115/80 - 120/80 - 137/80 - 144/80 - 160/80
(approximated from [[Meantone]] in [[31edo]])


Cosmic: 107/80 - 120/80 - 127/80 - 143/80 - 160/80
Cosmic: 107/80 - 120/80 - 127/80 - 143/80 - 160/80
(approximated from [[Harmonics 32–64]])


Evened Phryigan Dominant Hexatonic: 85/80 - 100/80 - 107/80 - 121/80 - 142/80 - 160/80
Evened Phryigan Dominant Hexatonic: 85/80 - 100/80 - 107/80 - 121/80 - 142/80 - 160/80
(approximated from [[Compton]] in [[96edo]])


Flattened Blues Aeolian Pentatonic: 94/80 - 106/80 - 119/80 - 126/80 - 160/80
Flattened Blues Aeolian Pentatonic: 94/80 - 106/80 - 119/80 - 126/80 - 160/80
(approximated from [[Compton]] in [[96edo]])


Flattened Blues Minor Maj7: 94/80 - 107/80 - 113/80 - 120/80 - 151/80 - 160/80
Flattened Blues Minor Maj7: 94/80 - 107/80 - 113/80 - 120/80 - 151/80 - 160/80
(approximated from [[Compton]] in [[96edo]])


Flattened Major: 90/80 - 100/80 - 107/80 - 120/80 - 134/80 - 150/80 - 160/80
Flattened Major: 90/80 - 100/80 - 107/80 - 120/80 - 134/80 - 150/80 - 160/80
(approximated from [[Compton]] in [[96edo]])


Roughened Blues Dorian Pentatonic: 95/80 - 120/80 - 136/80 - 142/80 - 160/80
Roughened Blues Dorian Pentatonic: 95/80 - 120/80 - 136/80 - 142/80 - 160/80
(approximated from [[Compton]] in [[96edo]])


Sharpened Blues Aeolian Pentatonic: 96/80 - 121/80 - 127/80 - 143/80 - 160/80
Sharpened Blues Aeolian Pentatonic: 96/80 - 121/80 - 127/80 - 143/80 - 160/80
(approximated from [[Compton]] in [[96edo]])


Sharpened Blues Dorian Hexatonic: 96/80 - 108/80 - 121/80 - 135/80 - 144/80 - 160/80
Sharpened Blues Dorian Hexatonic: 96/80 - 108/80 - 121/80 - 135/80 - 144/80 - 160/80
(approximated from [[Compton]] in [[96edo]])


Sharpened Blues Harmonic Septatonic: 96/80 - 108/80 - 114/80 - 121/80 - 128/80 - 152/80 - 160/80
Sharpened Blues Harmonic Septatonic: 96/80 - 108/80 - 114/80 - 121/80 - 128/80 - 152/80 - 160/80
(approximated from [[Compton]] in [[96edo]])


Sharpened Dorian Harmonic: 90/80 - 96/80 - 114/80 - 121/80 - 136/80 - 144/80 - 160/80
Sharpened Dorian Harmonic: 90/80 - 96/80 - 114/80 - 121/80 - 136/80 - 144/80 - 160/80
(approximated from [[Compton]] in [[96edo]])


Sharpened Akebono I: 90/80 - 96/80 - 120/80 - 135/80 - 160/80
Sharpened Akebono I: 90/80 - 96/80 - 120/80 - 135/80 - 160/80
(approximated from [[Compton]] in [[96edo]])


Sharpened Minor Blues: 96/80 - 107/80 - 112/80 - 120/80 - 144/80 - 160/80
Sharpened Minor Blues: 96/80 - 107/80 - 112/80 - 120/80 - 144/80 - 160/80
(approximated from [[Compton]] in [[96edo]])


Sharpened Minor Pentatonic: 96/80 - 107/80 - 120/80 - 144/80 - 160/80
Sharpened Minor Pentatonic: 96/80 - 107/80 - 120/80 - 144/80 - 160/80


[[Slendric6]]: 92/80 - 105/80 - 120/80 - 137/80 - 140/80 - 160/80
(approximated from [[Compton]] in [[96edo]])
 
 
Approximation of [[Slendric6]]: 92/80 - 105/80 - 120/80 - 137/80 - 140/80 - 160/80


== Music ==
== Music ==
* [https://www.youtube.com/watch?v=Qo3zR_s0H2o Music in Over-5 Just Intonation] by [[Budjarn Lambeth]] (Feb 2024)
; [[Budjarn Lambeth]]
* [https://www.youtube.com/watch?v=Qo3zR_s0H2o ''Music in Over-5 Just Intonation''] (2024)
 
{{Todo|cleanup|comment=Write these scales more compactly.}}
 
{{Navbox harmonics}}

Latest revision as of 00:41, 11 October 2026

Harmonics 80–160
Prime factorization 24 × 5
Fifth 120/80 (701.955c)

The harmonics 80–160 (also harmonic series segment 80::160 or harmonic series mode 80) are a scale that consists of harmonics 80 through 160 (80:81:…:160) and repeats at the octave. Used as a tuning system, it is also called 80afdo.

As a higher octave of harmonics 5–10, this scale can be used as an over-5 scale in primodality.

Scales

See also: 5- to 10-tone scales from the modes of the harmonic series
This article or section contains multiple idiosyncratic terms. Such terms are used by only a few people and are not regularly used within the community.

Terms: Cosmic, Lost Spirit and "sharpened"/"flattened"/"evened" names coined by and so far only used by Budjarn Lambeth.


Major: 90/80 - 101/80 - 107/80 - 120/80 - 135/80 - 151/80 - 160/80

(approximated: compromise between 12edo's meantone, 91edo's meantone, and 15-integer-limit JI)


Lost spirit: 96/80 - 107/80 - 115/80 - 120/80 - 137/80 - 144/80 - 160/80

(approximated from Meantone in 31edo)


Cosmic: 107/80 - 120/80 - 127/80 - 143/80 - 160/80

(approximated from Harmonics 32–64)


Evened Phryigan Dominant Hexatonic: 85/80 - 100/80 - 107/80 - 121/80 - 142/80 - 160/80

(approximated from Compton in 96edo)


Flattened Blues Aeolian Pentatonic: 94/80 - 106/80 - 119/80 - 126/80 - 160/80

(approximated from Compton in 96edo)


Flattened Blues Minor Maj7: 94/80 - 107/80 - 113/80 - 120/80 - 151/80 - 160/80

(approximated from Compton in 96edo)


Flattened Major: 90/80 - 100/80 - 107/80 - 120/80 - 134/80 - 150/80 - 160/80

(approximated from Compton in 96edo)


Roughened Blues Dorian Pentatonic: 95/80 - 120/80 - 136/80 - 142/80 - 160/80

(approximated from Compton in 96edo)


Sharpened Blues Aeolian Pentatonic: 96/80 - 121/80 - 127/80 - 143/80 - 160/80

(approximated from Compton in 96edo)


Sharpened Blues Dorian Hexatonic: 96/80 - 108/80 - 121/80 - 135/80 - 144/80 - 160/80

(approximated from Compton in 96edo)


Sharpened Blues Harmonic Septatonic: 96/80 - 108/80 - 114/80 - 121/80 - 128/80 - 152/80 - 160/80

(approximated from Compton in 96edo)


Sharpened Dorian Harmonic: 90/80 - 96/80 - 114/80 - 121/80 - 136/80 - 144/80 - 160/80

(approximated from Compton in 96edo)


Sharpened Akebono I: 90/80 - 96/80 - 120/80 - 135/80 - 160/80

(approximated from Compton in 96edo)


Sharpened Minor Blues: 96/80 - 107/80 - 112/80 - 120/80 - 144/80 - 160/80

(approximated from Compton in 96edo)


Sharpened Minor Pentatonic: 96/80 - 107/80 - 120/80 - 144/80 - 160/80

(approximated from Compton in 96edo)


Approximation of Slendric6: 92/80 - 105/80 - 120/80 - 137/80 - 140/80 - 160/80

Music

Budjarn Lambeth
View • Talk • EditOvertone scales 
Small modes 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24
Larger modes 30 • 32 • 36 • 48 • 60 • 128
Families /2: 2 • 4 • 8 • 16 • 32 • 128
/3: 3 • 6 • 9 • 12 • 15 • 18 • 21 • 24
/5: 5 • 10 • 15 • 20 • 25 • 30 • 35 • 60 • 80
/7: 7 • 14 • 21 • 28 • 35 • 56
/11: 11 • 22 • 33
/13: 13 • 26
Related Harmonic series • Subharmonic series • Carlos harmonic scale • Ringer scale • Primodality
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