60afdo: Difference between revisions
Unlike edos, afdos being composite has nothing to do with containing subsets. |
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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'''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''' ([[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 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) [[1edo|1]], [[2afdo|2]], [[3afdo|3]], [[4afdo|4]], [[5afdo|5]], [[6afdo|6]], [[10afdo|10]], [[12afdo|12]], [[15afdo|15]], [[20afdo|20]] and [[30afdo|30]] afdo. | |||
== Scales == | == Scales == | ||