60afdo: Difference between revisions
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Reworded it to separate the scale from the afdo |
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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’s associated overtone scale contains many low complexity [[5-limit]] intervals directly above the root, without having to rotate it. | 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’s associated overtone scale contains many low complexity [[5-limit]] intervals directly above the root, without having to rotate it. The scale contains many low complexity [[5-limit]] intervals, including those with 1, 2, 3, 4, 5, 6, 10, 12, 15, 20 or 30 in the denominator. | ||
== Scales == | == Scales == | ||
Revision as of 13:03, 15 October 2024
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’s associated overtone scale contains many low complexity 5-limit intervals directly above the root, without having to rotate it. The scale contains many low complexity 5-limit intervals, including those with 1, 2, 3, 4, 5, 6, 10, 12, 15, 20 or 30 in the denominator.