17L 3s: Difference between revisions
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m {{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum == |
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{{Infobox MOS}} | |||
{{MOS intro}} | |||
== Modes == | |||
{{MOS modes}} | |||
== Tuning spectrum == | |||
{| class="wikitable" | {| class="wikitable" | ||
! colspan="9" | generator | ! colspan="9" | generator | ||
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| | 420.000 | | | 420.000 | ||
| | | | | | ||
|} | |} | ||
[[category:todo:expand]] | [[category:todo:expand]] | ||
Revision as of 06:06, 30 January 2024
| ↖ 16L 2s | ↑ 17L 2s | 18L 2s ↗ |
| ← 16L 3s | 17L 3s | 18L 3s → |
| ↙ 16L 4s | ↓ 17L 4s | 18L 4s ↘ |
┌╥╥╥╥╥╥┬╥╥╥╥╥╥┬╥╥╥╥╥┬┐ │║║║║║║│║║║║║║│║║║║║││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLLLLLsLLLLLLsLLLLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
17L 3s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 3 small steps, repeating every octave. 17L 3s is related to 3L 5s, expanding it by 12 tones. Generators that produce this scale range from 420 ¢ to 423.5 ¢, or from 776.5 ¢ to 780 ¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 19|0 | 1 | LLLLLLsLLLLLLsLLLLLs |
| 18|1 | 8 | LLLLLLsLLLLLsLLLLLLs |
| 17|2 | 15 | LLLLLsLLLLLLsLLLLLLs |
| 16|3 | 2 | LLLLLsLLLLLLsLLLLLsL |
| 15|4 | 9 | LLLLLsLLLLLsLLLLLLsL |
| 14|5 | 16 | LLLLsLLLLLLsLLLLLLsL |
| 13|6 | 3 | LLLLsLLLLLLsLLLLLsLL |
| 12|7 | 10 | LLLLsLLLLLsLLLLLLsLL |
| 11|8 | 17 | LLLsLLLLLLsLLLLLLsLL |
| 10|9 | 4 | LLLsLLLLLLsLLLLLsLLL |
| 9|10 | 11 | LLLsLLLLLsLLLLLLsLLL |
| 8|11 | 18 | LLsLLLLLLsLLLLLLsLLL |
| 7|12 | 5 | LLsLLLLLLsLLLLLsLLLL |
| 6|13 | 12 | LLsLLLLLsLLLLLLsLLLL |
| 5|14 | 19 | LsLLLLLLsLLLLLLsLLLL |
| 4|15 | 6 | LsLLLLLLsLLLLLsLLLLL |
| 3|16 | 13 | LsLLLLLsLLLLLLsLLLLL |
| 2|17 | 20 | sLLLLLLsLLLLLLsLLLLL |
| 1|18 | 7 | sLLLLLLsLLLLLsLLLLLL |
| 0|19 | 14 | sLLLLLsLLLLLLsLLLLLL |
Tuning spectrum
| generator | L | s | L/s | gen (cents) | comment | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 6\17 | 1 | 0 | 423.529 | ||||||||||
| 55\156 | 9 | 1 | 9.000 | 423.077 | |||||||||
| 49\139 | 8 | 1 | 8.000 | 423.022 | |||||||||
| 43\122 | 7 | 1 | 7.000 | 422.951 | |||||||||
| 37\105 | 6 | 1 | 6.000 | 422.857 | |||||||||
| 31\88 | 5 | 1 | 5.000 | 422.727 | |||||||||
| 56\159 | 9 | 2 | 4.500 | 422.642 | |||||||||
| 25\71 | 4 | 1 | 4.000 | 422.535 | |||||||||
| 44\125 | 7 | 2 | 3.500 | 422.400 | |||||||||
| 63\179 | 10 | 3 | 3.333 | 422.346 | |||||||||
| 19\54 | 3 | 1 | 3.000 | 422.222 | |||||||||
| 51\145 | 8 | 3 | 2.667 | 422.069 | |||||||||
| 32\91 | 5 | 2 | 2.500 | 421.978 | |||||||||
| 45\128 | 7 | 3 | 2.333 | 421.875 | |||||||||
| 58\165 | 9 | 4 | 2.250 | 421.818 | |||||||||
| 13\37 | 2 | 1 | 2.000 | 421.622 | |||||||||
| 59\168 | 9 | 5 | 1.800 | 421.429 | |||||||||
| 46\131 | 7 | 4 | 1.750 | 421.374 | |||||||||
| 33\94 | 5 | 3 | 1.667 | 421.277 | |||||||||
| 53\151 | 8 | 5 | 1.600 | 421.192 | |||||||||
| 20\57 | 3 | 2 | 1.500 | 421.053 | |||||||||
| 47\134 | 7 | 5 | 1.400 | 420.896 | |||||||||
| 27\77 | 4 | 3 | 1.333 | 420.779 | |||||||||
| 61\174 | 9 | 7 | 1.286 | 420.690 | |||||||||
| 34\97 | 5 | 4 | 1.250 | 420.619 | |||||||||
| 41\117 | 6 | 5 | 1.200 | 420.513 | |||||||||
| 48\137 | 7 | 6 | 1.167 | 420.438 | |||||||||
| 55\157 | 8 | 7 | 1.143 | 420.382 | |||||||||
| 62\177 | 9 | 8 | 1.125 | 420.339 | |||||||||
| 7\20 | 1 | 1 | 1.000 | 420.000 | |||||||||