17L 5s
17L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 5 small steps, repeating every octave. 17L 5s is a great-grandchild scale of 5L 2s, expanding it by 15 tones. Generators that produce this scale range from 490.9 ¢ to 494.1 ¢, or from 705.9 ¢ to 709.1 ¢.
| ↖ 16L 4s | ↑ 17L 4s | 18L 4s ↗ |
| ← 16L 5s | 17L 5s | 18L 5s → |
| ↙ 16L 6s | ↓ 17L 6s | 18L 6s ↘ |
Scale structure
sLLLsLLLsLLLLsLLLsLLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
The 17L 5s MOS scale is the parent of another MOS scale that exhibits the fractal-like acoustic effects for which Archagall temperament is named- however, this scale also has tuning areas that don't support these effects.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 21|0 | 1 | LLLLsLLLsLLLLsLLLsLLLs |
| 20|1 | 10 | LLLLsLLLsLLLsLLLLsLLLs |
| 19|2 | 19 | LLLsLLLLsLLLsLLLLsLLLs |
| 18|3 | 6 | LLLsLLLLsLLLsLLLsLLLLs |
| 17|4 | 15 | LLLsLLLsLLLLsLLLsLLLLs |
| 16|5 | 2 | LLLsLLLsLLLLsLLLsLLLsL |
| 15|6 | 11 | LLLsLLLsLLLsLLLLsLLLsL |
| 14|7 | 20 | LLsLLLLsLLLsLLLLsLLLsL |
| 13|8 | 7 | LLsLLLLsLLLsLLLsLLLLsL |
| 12|9 | 16 | LLsLLLsLLLLsLLLsLLLLsL |
| 11|10 | 3 | LLsLLLsLLLLsLLLsLLLsLL |
| 10|11 | 12 | LLsLLLsLLLsLLLLsLLLsLL |
| 9|12 | 21 | LsLLLLsLLLsLLLLsLLLsLL |
| 8|13 | 8 | LsLLLLsLLLsLLLsLLLLsLL |
| 7|14 | 17 | LsLLLsLLLLsLLLsLLLLsLL |
| 6|15 | 4 | LsLLLsLLLLsLLLsLLLsLLL |
| 5|16 | 13 | LsLLLsLLLsLLLLsLLLsLLL |
| 4|17 | 22 | sLLLLsLLLsLLLLsLLLsLLL |
| 3|18 | 9 | sLLLLsLLLsLLLsLLLLsLLL |
| 2|19 | 18 | sLLLsLLLLsLLLsLLLLsLLL |
| 1|20 | 5 | sLLLsLLLLsLLLsLLLsLLLL |
| 0|21 | 14 | sLLLsLLLsLLLLsLLLsLLLL |
Tuning spectrum
| generator | L | s | L/s | gen (cents) | comment | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 7\17 | 1 | 0 | 494.118 | ||||||||||
| 65\158 | 9 | 1 | 9.000 | 493.671 | |||||||||
| 58\141 | 8 | 1 | 8.000 | 493.617 | |||||||||
| 51\124 | 7 | 1 | 7.000 | 493.548 | |||||||||
| 44\107 | 6 | 1 | 6.000 | 493.458 | |||||||||
| 37\90 | 5 | 1 | 5.000 | 493.333 | |||||||||
| 67\163 | 9 | 2 | 4.500 | 493.252 | |||||||||
| 30\73 | 4 | 1 | 4.000 | 493.151 | |||||||||
| 53\129 | 7 | 2 | 3.500 | 493.023 | |||||||||
| 23\56 | 3 | 1 | 3.000 | 492.857 | |||||||||
| 62\151 | 8 | 3 | 2.667 | 492.715 | |||||||||
| 39\95 | 5 | 2 | 2.500 | 492.632 | |||||||||
| 55\134 | 7 | 3 | 2.333 | 492.537 | |||||||||
| 71\173 | 9 | 4 | 2.250 | 492.486 | |||||||||
| 16\39 | 2 | 1 | 2.000 | 492.308 | |||||||||
| 73\178 | 9 | 5 | 1.800 | 492.135 | |||||||||
| 57\139 | 7 | 4 | 1.750 | 492.086 | |||||||||
| 41\100 | 5 | 3 | 1.667 | 492.000 | |||||||||
| 66\161 | 8 | 5 | 1.600 | 491.925 | |||||||||
| 25\61 | 3 | 2 | 1.500 | 491.803 | |||||||||
| 59\144 | 7 | 5 | 1.400 | 491.667 | |||||||||
| 34\83 | 4 | 3 | 1.333 | 491.566 | |||||||||
| 43\105 | 5 | 4 | 1.250 | 491.429 | |||||||||
| 52\127 | 6 | 5 | 1.200 | 491.339 | |||||||||
| 61\149 | 7 | 6 | 1.167 | 491.275 | |||||||||
| 70\171 | 8 | 7 | 1.143 | 491.228 | |||||||||
| 79\193 | 9 | 8 | 1.125 | 491.192 | |||||||||
| 9\22 | 1 | 1 | 1.000 | 490.909 | |||||||||