60afdo

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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.)
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← 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. 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.

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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