6L 19s: Difference between revisions
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This is the MOS where the large steps divide the small steps into groups of 3-3-3-3-3-4. It is generated by a "neutral" whole tone of no less than 4/25edo (192 cents), laying estimates of the boundary of "practicality" between 37edo (minimum) and 43edo (maximum). | {{MOS intro}} | ||
This is the MOS where the large steps divide the small steps into groups of 3-3-3-3-3-4. It is generated by a "neutral" whole tone of no less than 4/25edo (192 cents), laying estimates of the boundary of "practicality" between [[37edo]] (minimum) and [[43edo]] (maximum). | |||
== Modes == | |||
{{MOS modes}} | |||
== Scale tree == | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
Revision as of 02:59, 3 February 2024
6L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 19 small steps, repeating every octave. 6L 19s is a great-grandchild scale of 6L 1s, expanding it by 18 tones. Generators that produce this scale range from 192 ¢ to 200 ¢, or from 1000 ¢ to 1008 ¢. This is the MOS where the large steps divide the small steps into groups of 3-3-3-3-3-4. It is generated by a "neutral" whole tone of no less than 4/25edo (192 cents), laying estimates of the boundary of "practicality" between 37edo (minimum) and 43edo (maximum).
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 24|0 | 1 | LsssLsssLsssLsssLsssLssss |
| 23|1 | 5 | LsssLsssLsssLsssLssssLsss |
| 22|2 | 9 | LsssLsssLsssLssssLsssLsss |
| 21|3 | 13 | LsssLsssLssssLsssLsssLsss |
| 20|4 | 17 | LsssLssssLsssLsssLsssLsss |
| 19|5 | 21 | LssssLsssLsssLsssLsssLsss |
| 18|6 | 25 | sLsssLsssLsssLsssLsssLsss |
| 17|7 | 4 | sLsssLsssLsssLsssLssssLss |
| 16|8 | 8 | sLsssLsssLsssLssssLsssLss |
| 15|9 | 12 | sLsssLsssLssssLsssLsssLss |
| 14|10 | 16 | sLsssLssssLsssLsssLsssLss |
| 13|11 | 20 | sLssssLsssLsssLsssLsssLss |
| 12|12 | 24 | ssLsssLsssLsssLsssLsssLss |
| 11|13 | 3 | ssLsssLsssLsssLsssLssssLs |
| 10|14 | 7 | ssLsssLsssLsssLssssLsssLs |
| 9|15 | 11 | ssLsssLsssLssssLsssLsssLs |
| 8|16 | 15 | ssLsssLssssLsssLsssLsssLs |
| 7|17 | 19 | ssLssssLsssLsssLsssLsssLs |
| 6|18 | 23 | sssLsssLsssLsssLsssLsssLs |
| 5|19 | 2 | sssLsssLsssLsssLsssLssssL |
| 4|20 | 6 | sssLsssLsssLsssLssssLsssL |
| 3|21 | 10 | sssLsssLsssLssssLsssLsssL |
| 2|22 | 14 | sssLsssLssssLsssLsssLsssL |
| 1|23 | 18 | sssLssssLsssLsssLsssLsssL |
| 0|24 | 22 | ssssLsssLsssLsssLsssLsssL |
Scale tree
| 1/6 | 200 | ||||
| 8/49 | 195.918 | ||||
| 7/43 | 195.349 | ||||
| 13/80 | 195 | ||||
| 194.716 | |||||
| 6/37 | 194.596 | ||||
| 194.336 | |||||
| 17/105 | 194.286 | ||||
| 194.238 | |||||
| 11/68 | 194.118 | ||||
| 16/99 | 193.939 | ||||
| 5/31 | 193.548 | ||||
| 19/118 | 193.22 | ||||
| 193.1955 | |||||
| 14/87 | 193.103 | ||||
| 193.033 | |||||
| 23/143 | 193.007 | ||||
| 192.964 | |||||
| 9/56 | 192.857 | ||||
| 22/137 | 192.701 | ||||
| 13/81 | 192.593 | ||||
| 17/106 | 192.453 | ||||
| 4/25 | 192 |