User:BudjarnLambeth/Oclock: Difference between revisions
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The '''oclock scale'''{{idiosyncratic}} is a scale created by including all the intervals from the following three [[MOS scale]]s: | The '''oclock scale'''{{idiosyncratic}} is a [[:Category:9-tone scales|9-tone scale]] created by including all the intervals from the following three [[MOS scale]]s: | ||
* The 3-tone MOS with [[generator]] 5\31, [[period]] 31\31, with 2 generators up and 0 generators down. | * The 3-tone MOS with [[generator]] 5\31, [[period]] 31\31, with 2 generators up and 0 generators down. | ||
* The 5-tone MOS with generator 11\31, period 31\31, with 0 generators up and 4 generators down. | * The 5-tone MOS with generator 11\31, period 31\31, with 0 generators up and 4 generators down. | ||
* The 3-tone MOS with generator 13\31, period 31\31, with 1 generator up and 3 generators down. | * The 3-tone MOS with generator 13\31, period 31\31, with 1 generator up and 3 generators down. | ||
It is the following subset of [[31edo]]: 5 4 1 3 5 2 3 6 2. [[Category:31edo]] | It is the following [[octave equivalence|octave-repeating]] subset of [[31edo]]: 5 4 1 3 5 2 3 6 2. [[Category:31edo]] [[Category:9-tone scales]] | ||
It belongs to a collection of scales called the [[breuddwyd scale|wijzerplaat scale]]s.{{idiosyncratic}} | It belongs to a collection of scales called the [[breuddwyd scale|wijzerplaat scale]]s.{{idiosyncratic}} | ||
It is full of many useful [[consonance]]s in the [[11-limit]]. It has 9 [[mode]]s. | It is full of many useful [[consonance]]s in the [[11-limit]]. It has 9 [[mode]]s. | ||
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Intending to make music based on these numbers, Lambeth created a few possible scales for that purpose, one of which was the oclock scale. | Intending to make music based on these numbers, Lambeth created a few possible scales for that purpose, one of which was the oclock scale. | ||
In the oclock scale, the percentage of generators up versus down for each MOS was determined by its numeral's vertical position on the disc. | In the oclock scale, the percentage of generators up versus down for each MOS was determined by its numeral's ''vertical'' position on the disc. | ||
The number of tones generated by each MOS was decided by the MOS's numeral (5, 11 or 13) minus the position of the numeral on the disc (1, 2, 3... 10, 11, or 12). (''The number of generators is by definition one less than the number of tones.'') | The number of tones generated by each MOS was decided by the MOS's numeral (5, 11 or 13) minus the ''clockwise'' position of the numeral on the disc (1, 2, 3... 10, 11, or 12). (''The number of generators is by definition one less than the number of tones.'') | ||
[[File:BreuddwydDisc.jpeg|none|thumb|309x309px|A recreation of the disc from the dream.]] | [[File:BreuddwydDisc.jpeg|none|thumb|309x309px|A recreation of the disc from the dream.]] | ||
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# 696.8 | # 696.8 | ||
# 929.1 | # 929.1 | ||
# 1006.5 | |||
# 1200.0 | |||
Oclock otonal neutral pentatonic | |||
# 154.9 | |||
# 580.7 | |||
# 696.8 | |||
# 1006.5 | # 1006.5 | ||
# 1200.0 | # 1200.0 | ||
| Line 175: | Line 183: | ||
# 967.7 | # 967.7 | ||
# 1200.0 | # 1200.0 | ||
== See also == | |||
* [[9-tone 31edo scales]] | |||
[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||