9L 2s

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↖8L 1s↑9L 1s 10L 1s↗
←8L 2s9L 2s10L 2s→
↙8L 3s↓9L 3s 10L 3s↘
Brightest mode LLLLLsLLLLs
Period 2/1
Range for bright generator 6\11 (654.5¢) to 5\9 (666.7¢)
Range for dark generator 4\9 (533.3¢) to 5\11 (545.5¢)
Parent MOS 2L 7s
Sister MOS 2L 9s
Daughter MOSes 11L 9s, 9L 11s
Equal tunings
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¢)
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¢)

9L 2s is a MOS generated by an approximate 15/11 of 4\9edo (533.333 cents) to 5\11edo (545.4545). 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"

Tuning spectrum

Steps of ED Generator in cents Step ratio Comments
Bright Dark L:s Hardness
6\11 654.545 545.455 1:1 1 Equalized 9L 2s
35\64 656.25 543.75 6:5 1.2
29\53 656.604 543.396 5:4 1.25
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 1.4
57\104 657.692 542.308 10:7 1.429
17\31 658.065 541.935 3:2 1.5 Soft 9L 2s
62\113 658.407 541.593 11:7 1.571
45\82 658.537 541.463 8:5 1.6
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 1.75
50\91 659.341 540.659 9:5 1.8
11\20 660 540 2:1 2 Basic 9L 2s
(Generators smaller than this are proper)
49\89 660.674 539.326 9:4 2.25
38\69 660.87 539.13 7:3 2.333
65\118 661.017 538.983 12:5 2.4
27\49 661.224 538.776 5:2 2.5 Semihard 9L 2s
70\127 661.417 538.583 13:5 2.6
43\78 661.538 538.462 8:3 2.667
59\107 661.682 538.318 11:4 2.75
16\29 662.069 537.931 3:1 3 Hard 9L 2s
53\96 662.5 537.5 10:3 3.333
37\67 662.687 537.313 7:2 3.5
58\105 662.857 537.143 11:3 3.667
21\38 663.158 536.842 4:1 4 Superhard 9L 2s
47\85 663.529 536.471 9:2 4.5
26\47 663.83 536.17 5:1 5
31\56 664.286 535.714 6:1 6
5\9 666.667 533.333 1:0 → ∞ Collapsed 9L 2s