9L 2s
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Scale structure
Step pattern
LLLLLsLLLLs
sLLLLsLLLLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Step size
Large
1\11 to 1\9 (109.1¢ to 133.3¢)
Small
0\9 to 1\11 (0.0¢ to 109.1¢)
Generator size
Bright
6\11 to 5\9 (654.5¢ to 666.7¢)
Dark
4\9 to 5\11 (533.3¢ to 545.5¢)
TAMNAMS information
Descends from
2L 7s (balzano)
Related MOS scales
Parent
2L 7s
Sister
2L 9s
Daughters
11L 9s
9L 11s
Equal tunings
Equalized (L:s = 1:1)
6\11 (654.5¢)
Supersoft (L:s = 4:3)
23\42 (657.1¢)
Soft (L:s = 3:2)
17\31 (658.1¢)
Semisoft (L:s = 5:3)
28\51 (658.8¢)
Basic (L:s = 2:1)
11\20 (660.0¢)
Semihard (L:s = 5:2)
27\49 (661.2¢)
Hard (L:s = 3:1)
16\29 (662.1¢)
Superhard (L:s = 4:1)
21\38 (663.2¢)
Collapsed (L:s = 1:0)
5\9 (666.7¢)
| ↖8L 1s | ↑9L 1s | 10L 1s↗ |
| ←8L 2s | 9L 2s | 10L 2s→ |
| ↙8L 3s | ↓9L 3s | 10L 3s↘ |
┌╥╥╥╥╥┬╥╥╥╥┬┐ │║║║║║│║║║║││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
sLLLLsLLLLL
9L 11s
9L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 2 small steps, repeating every octave. 9L 2s is a child scale of 2L 7s, expanding it by 2 tones. Generators that produce this scale range from 654.5¢ to 666.7¢, or from 533.3¢ to 545.5¢.
It represents temperaments like Avila (narrow generator) and Casablanca (wide). There is no TAMNAMS name for this MOS, but CompactStar suggested the names ultradiatonic and superarmotonic by analogy to 7L 2s's name of superdiatonic.
Modes
- 10|0 LLLLLsLLLLs "Ultralydian"
- 9|1 LLLLsLLLLLs "Ultraionian"
- 8|2 LLLLsLLLLsL "Ultramixolydian"
- 7|3 LLLsLLLLLsL "Ultracorinthian"
- 6|4 LLLsLLLLsLL "Ultraolympian"
- 5|5 LLsLLLLLsLL "Ultralycian"
- 4|6 LLsLLLLsLLL "Ultrapisidian"
- 3|7 LsLLLLLsLLL "Ultradorian"
- 2|8 LsLLLLsLLLL "Ultraaeolian"
- 1|9 sLLLLLsLLLL "Ultraphrygian"
- 0|10 sLLLLsLLLLL "Ultralocrian"
Scale tree
| Generator (in steps of edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 6\11 | 654.545 | 545.455 | 1:1 | 1.000 | Equalized 9L 2s | |||||
| 35\64 | 656.250 | 543.750 | 6:5 | 1.200 | ||||||
| 29\53 | 656.604 | 543.396 | 5:4 | 1.250 | ||||||
| 52\95 | 656.842 | 543.158 | 9:7 | 1.286 | ||||||
| 23\42 | 657.143 | 542.857 | 4:3 | 1.333 | Supersoft 9L 2s | |||||
| 63\115 | 657.391 | 542.609 | 11:8 | 1.375 | ||||||
| 40\73 | 657.534 | 542.466 | 7:5 | 1.400 | ||||||
| 57\104 | 657.692 | 542.308 | 10:7 | 1.429 | ||||||
| 17\31 | 658.065 | 541.935 | 3:2 | 1.500 | Soft 9L 2s | |||||
| 62\113 | 658.407 | 541.593 | 11:7 | 1.571 | ||||||
| 45\82 | 658.537 | 541.463 | 8:5 | 1.600 | ||||||
| 73\133 | 658.647 | 541.353 | 13:8 | 1.625 | ||||||
| 28\51 | 658.824 | 541.176 | 5:3 | 1.667 | Semisoft 9L 2s | |||||
| 67\122 | 659.016 | 540.984 | 12:7 | 1.714 | ||||||
| 39\71 | 659.155 | 540.845 | 7:4 | 1.750 | ||||||
| 50\91 | 659.341 | 540.659 | 9:5 | 1.800 | ||||||
| 11\20 | 660.000 | 540.000 | 2:1 | 2.000 | Basic 9L 2s Scales with tunings softer than this are proper | |||||
| 49\89 | 660.674 | 539.326 | 9:4 | 2.250 | ||||||
| 38\69 | 660.870 | 539.130 | 7:3 | 2.333 | ||||||
| 65\118 | 661.017 | 538.983 | 12:5 | 2.400 | ||||||
| 27\49 | 661.224 | 538.776 | 5:2 | 2.500 | Semihard 9L 2s | |||||
| 70\127 | 661.417 | 538.583 | 13:5 | 2.600 | ||||||
| 43\78 | 661.538 | 538.462 | 8:3 | 2.667 | ||||||
| 59\107 | 661.682 | 538.318 | 11:4 | 2.750 | ||||||
| 16\29 | 662.069 | 537.931 | 3:1 | 3.000 | Hard 9L 2s | |||||
| 53\96 | 662.500 | 537.500 | 10:3 | 3.333 | ||||||
| 37\67 | 662.687 | 537.313 | 7:2 | 3.500 | ||||||
| 58\105 | 662.857 | 537.143 | 11:3 | 3.667 | ||||||
| 21\38 | 663.158 | 536.842 | 4:1 | 4.000 | Superhard 9L 2s | |||||
| 47\85 | 663.529 | 536.471 | 9:2 | 4.500 | ||||||
| 26\47 | 663.830 | 536.170 | 5:1 | 5.000 | ||||||
| 31\56 | 664.286 | 535.714 | 6:1 | 6.000 | ||||||
| 5\9 | 666.667 | 533.333 | 1:0 | → ∞ | Collapsed 9L 2s | |||||