9L 2s
Jump to navigation
Jump to search
Step pattern
LLLLLsLLLLs
sLLLLsLLLLL
Equave
2/1 (1200.0 ¢)
Period
2/1 (1200.0 ¢)
Bright
6\11 to 5\9 (654.5 ¢ to 666.7 ¢)
Dark
4\9 to 5\11 (533.3 ¢ to 545.5 ¢)
Descends from
2L 7s (balzano)
Ancestor's step ratio range
1:1 to 2:1 (soft-of-basic)
Parent
2L 7s
Sister
2L 9s
Daughters
11L 9s, 9L 11s
Neutralized
7L 4s
2-Flought
20L 2s, 9L 13s
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 ↘ |
┌╥╥╥╥╥┬╥╥╥╥┬┐ │║║║║║│║║║║││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLLLLsLLLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
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). CompactStar has suggested the names ultradiatonic and superarmotonic by analogy to 7L 2s's name of superdiatonic, while Ganaram Inukshuk has suggested villatonic as a reference to the aforementioned Avila and Casablanca.
Scale properties
- This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for diatonic interval categories.
{{subst:MOS data temporary}}
Proposed names
UDP | Cyclic order |
Step pattern |
Mode names |
---|---|---|---|
10|0 | 1 | LLLLLsLLLLs | Ultralydian |
9|1 | 7 | LLLLsLLLLLs | Ultraionian |
8|2 | 2 | LLLLsLLLLsL | Ultramixolydian |
7|3 | 8 | LLLsLLLLLsL | Ultracorinthian |
6|4 | 3 | LLLsLLLLsLL | Ultraolympian |
5|5 | 9 | LLsLLLLLsLL | Ultralycian |
4|6 | 4 | LLsLLLLsLLL | Ultrapisidian |
3|7 | 10 | LsLLLLLsLLL | Ultradorian |
2|8 | 5 | LsLLLLsLLLL | Ultraaeolian |
1|9 | 11 | sLLLLLsLLLL | Ultraphrygian |
0|10 | 6 | sLLLLsLLLLL | Ultralocrian |
Scale tree
Generator(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 |