60afdo: Difference between revisions

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


'''60afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''60afdo''' ([[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. Due to 60 being 2 x 2 × 3 × 5, this AFDO contains many common [[5-limit]] intervals and is highly useful. It is a highly composite AFDO.
'''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. Due to 60 being 2 x 2 × 3 × 5, this afdo contains many common [[5-limit]] intervals and is highly useful.  
 
60 is a highly composite afdo, containing within it 1, 2, 3, 4, 5, 6, 10, 12, 15, 20 and 30 afdo.


== Scales ==
== Scales ==

Revision as of 19:57, 14 January 2024

← 59afdo 60afdo 61afdo →
Prime factorization 22 × 3 × 5
Fifth 90/60 (701.955c)

60afdo (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 mode 60 of the harmonic series or the Over-60 scale. Due to 60 being 2 x 2 × 3 × 5, this afdo contains many common 5-limit intervals and is highly useful.

60 is a highly composite afdo, containing within it 1, 2, 3, 4, 5, 6, 10, 12, 15, 20 and 30 afdo.

Scales

see also: 5- to 10-tone scales from the modes of the harmonic series

Irreducible

Palace

  • 66/60
  • 72/60
  • 80/60
  • 90/60
  • 99/60
  • 108/60
  • 120/60


Subsets of 60, 30, 20, etc.

Cyberspace

  • 72/60
  • 90/60
  • 96/60
  • 108/60
  • 120/60


Freeway

  • 70/60
  • 80/60
  • 90/60
  • 100/60
  • 110/60
  • 120/60


Geode

  • 70/60
  • 80/60
  • 90/60
  • 110/60
  • 120/60


Mushroom

  • 70/60
  • 80/60
  • 90/60
  • 94/60
  • 120/60


Underpass

  • 72/60
  • 90/60
  • 102/60
  • 108/60
  • 120/60