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60afdo

Revision as of 12:39, 15 October 2024 by BudjarnLambeth (talk | contribs) (In afdos, whether or not an interval occurs directly above the root (not in a mode) is very important. One common use of afdos is for primodality , and a primodalist would find it very important that 35afdo contains /5 intervals and /7 intervals above the root. 60afdo is very much not primodal of course, but this still matters. One reason why people might use 60afdo is that they want a subset JI scale that contains lots of simple intervals above the root.)

60afdo (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 mode 60 of the harmonic series or the Over-60 scale.

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

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 contains many low complexity 5-limit intervals directly above the root, without having to rotate it. 60 is a highly composite afdo, containing within it (directly above the root, without having to rotate) 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
  • Palace: 66/60-72/60-80/60-90/60-99/60-108/60-120/60 (approximated from Porky in 29edo)
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