60afdo: Difference between revisions
Jump to navigation
Jump to search
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. |
→Scales: Same changes with same reasoning as made to 8afdo today |
||
| (10 intermediate revisions by 2 users not shown) | |||
| Line 3: | Line 3: | ||
'''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 | 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, including those with 1, 2, 3, 4, 5, 6, 10, 12, 15, 20 or 30 in the denominator. | ||
== Scales == | == Scales == | ||
{{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 }} | ||
{{Idiosyncratic terms|Most of these names were coined, and are solely used, by [[Budjarn Lambeth]] - however he was only the first to ''name'' many of these scales, others have probably already ''used'' them before him}} | |||
* | * 60:69:79:91:104:120 Bubblegum (''[[5edo]] neji'') | ||
* 60:66:72:80:90:99:108:120 Palace (''approximated from [[Porky]] in [[29edo]]'') | |||
[[ | == Music == | ||
* ''[https://www.youtube.com/watch?v=iZI9x2Fto-A Bubblegum]'' - [[Budjarn Lambeth]] (2024) | |||
Latest revision as of 02:32, 14 April 2026
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, including those with 1, 2, 3, 4, 5, 6, 10, 12, 15, 20 or 30 in the denominator.
Scales
|
This article or section contains multiple idiosyncratic terms. Such terms are used by only a few people and are not regularly used within the community.
Terms: Most of these names were coined, and are solely used, by Budjarn Lambeth - however he was only the first to name many of these scales, others have probably already used them before him |
- 60:69:79:91:104:120 Bubblegum (5edo neji)
- 60:66:72:80:90:99:108:120 Palace (approximated from Porky in 29edo)
Music
- Bubblegum - Budjarn Lambeth (2024)