Harmonics 60–120: Difference between revisions

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{{Infobox AFDO|steps=60}}
{{Infobox harmonics|60}}


'''60afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''60odo''' ([[otonal division]] of the octave), divides the octave into sixty parts of 1/60 each. It is a superset of 59afdo and a subset of 61afdo. Added to 59afdo are many 119/ ratios. As a scale it may be known as [[Harmonic mode|mode 60 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-60]] scale.  
{{Harmonics intro|60}} Added to harmonics 59–118 are many 119/ ratios.


60afdo is a highly composite afdo, with many ways to form frequency-domain equal subset scales. Due to 60 being 2 x 2 × 3 × 5, this afdo’s associated overtone scale contains many low complexity [[5-limit]] intervals directly above the root, including those with 1, 2, 3, 4, 5, 6, 10, 12, 15, 20 or 30 in the denominator.
This is a highly composite scale, with many ways to form frequency-domain equal subset scales. Due to 60 being 2 x 2 × 3 × 5, this scale contains many low complexity [[5-limit]] intervals directly above the root, including those with 1, 2, 3, 4, 5, 6, 10, 12, 15, 20 or 30 in the denominator.


== 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|Most of these names were coined, and are solely used, by [[Budjarn Lambeth]] - however he was only the first to ''name'' many of these scales, others have probably already ''used'' them before him}}


* Bubblegum: 69/60-79/60-91/60-104/60-120/60 (this is the original/default tuning, but it is a [[neji]] of [[5edo]])
* 60:69:79:91:104:120 Bubblegum (''[[5edo]] neji'')
* Palace: 66/60-72/60-80/60-90/60-99/60-108/60-120/60 (approximated from [[Porky]] in [[29edo]])
* 60:66:72:80:90:99:108:120 Palace (''approximated from [[Porky]] in [[29edo]]'')


== Music ==
== Music ==
* [https://www.youtube.com/watch?v=iZI9x2Fto-A Improvisation in the bubblegum scale (Dec 2024)] - [[Budjarn Lambeth]]
* ''[https://www.youtube.com/watch?v=iZI9x2Fto-A Bubblegum]'' - [[Budjarn Lambeth]] (2024)


[[Category:AFDO]]
{{Navbox harmonics}}

Latest revision as of 00:40, 11 October 2026

Harmonics 60–120
Prime factorization 22 × 3 × 5
Fifth 90/60 (701.955c)

The harmonic segment 60::120 (also harmonics 60–120) consists of harmonics 60 through 120 (60:61:…:120) and spans one octave above the root. Used as a scale, it is also called mode 60 of the harmonic series. Added to harmonics 59–118 are many 119/ ratios.

This is a highly composite scale, with many ways to form frequency-domain equal subset scales. Due to 60 being 2 x 2 × 3 × 5, this scale contains many low complexity 5-limit intervals directly above the root, including those with 1, 2, 3, 4, 5, 6, 10, 12, 15, 20 or 30 in the denominator.

Scales

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: Most of these names were coined, and are solely used, by Budjarn Lambeth - however he was only the first to name many of these scales, others have probably already used them before him

  • 60:69:79:91:104:120 Bubblegum (5edo neji)
  • 60:66:72:80:90:99:108:120 Palace (approximated from Porky in 29edo)

Music

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