60afdo: Difference between revisions

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'''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. 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.

'''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.

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.

== Scales ==

{{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}}

* ~~Palace~~: 66~~/60-~~72~~/60-~~80~~/60-~~90~~/60-~~99~~/60-~~108~~/60-~~120~~/60~~

* 60:69:79:91:104:120 Bubblegum (''[[5edo]] neji'')

* 60:66:72:80:90:99:108:120 Palace (''approximated from [[Porky]] in [[29edo]]'')

[[~~Category:AFDO~~]]

== Music ==

* ''[https://www.youtube.com/watch?v=iZI9x2Fto-A Bubblegum]'' - [[Budjarn Lambeth]] (2024)

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 {{Infobox AFDO|steps=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. 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.
+'''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.
-Due to 60 being 2 x 2 × 3 × 5, this afdo contains many low complexity [[5-limit]] intervals. 60 is a highly composite afdo, containing within it [[1edo|1]], [[2afdo|2]], [[3afdo|3]], [[4afdo|4]], [[5afdo|5]], [[6afdo|6]], [[10afdo|10]], [[12afdo|12]], [[15afdo|15]], [[20afdo|20]] and [[30afdo|30]] afdo.
+afdo 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.
 == Scales ==
 {{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}}
-* Palace: 66/60-72/60-80/60-90/60-99/60-108/60-120/60
+* 60:69:79:91:104:120 Bubblegum (''[[5edo]] neji'')
+* 60:66:72:80:90:99:108:120 Palace (''approximated from [[Porky]] in [[29edo]]'')
-[[Category:AFDO]]
+== Music ==
+* ''[https://www.youtube.com/watch?v=iZI9x2Fto-A Bubblegum]'' - [[Budjarn Lambeth]] (2024)