60afdo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
BudjarnLambeth (talk | contribs)
mNo edit summary
BudjarnLambeth (talk | contribs)
Line 6: Line 6:
''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]]''


=== Irreducible ===
Palace
* 66/60
* 72/60
* 80/60
* 90/60
* 99/60
* 108/60
* 120/60
=== Subsets of 60, 30, 20, etc. ===


Cyberspace
Cyberspace
Line 37: Line 50:
* 90/60
* 90/60
* 94/60
* 94/60
* 120/60
Palace
* 66/60
* 72/60
* 80/60
* 90/60
* 99/60
* 108/60
* 120/60
* 120/60



Revision as of 19:56, 14 January 2024

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

60afdo (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 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. It is a highly composite 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