# 17L 2s

 ↖ 16L 1s ↑17L 1s 18L 1s ↗ ← 16L 2s 17L 2s 18L 2s → ↙ 16L 3s ↓17L 3s 18L 3s ↘
```┌╥╥╥╥╥╥╥╥╥┬╥╥╥╥╥╥╥╥┬┐
│║║║║║║║║║│║║║║║║║║││
│││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘```
Scale structure
Step pattern LLLLLLLLLsLLLLLLLLs
sLLLLLLLLsLLLLLLLLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 10\19 to 9\17 (631.6¢ to 635.3¢)
Dark 8\17 to 9\19 (564.7¢ to 568.4¢)
TAMNAMS information
Descends from 2L 7s (balzano)
Ancestor's step ratio range 5:1 to 6:1
Related MOS scales
Parent 2L 15s
Sister 2L 17s
Daughters 19L 17s, 17L 19s
Neutralized 15L 4s
2-Flought 36L 2s, 17L 21s
Equal tunings
Equalized (L:s = 1:1) 10\19 (631.6¢)
Supersoft (L:s = 4:3) 39\74 (632.4¢)
Soft (L:s = 3:2) 29\55 (632.7¢)
Semisoft (L:s = 5:3) 48\91 (633.0¢)
Basic (L:s = 2:1) 19\36 (633.3¢)
Semihard (L:s = 5:2) 47\89 (633.7¢)
Hard (L:s = 3:1) 28\53 (634.0¢)
Superhard (L:s = 4:1) 37\70 (634.3¢)
Collapsed (L:s = 1:0) 9\17 (635.3¢)

17L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 2 small steps, repeating every octave. 17L 2s is related to 2L 7s, expanding it by 10 tones. Generators that produce this scale range from 631.6¢ to 635.3¢, or from 564.7¢ to 568.4¢.

## Modes

Modes of 17L 2s
UDP Rotational
Order
Step
Pattern
18|0 1 LLLLLLLLLsLLLLLLLLs
17|1 11 LLLLLLLLsLLLLLLLLLs
16|2 2 LLLLLLLLsLLLLLLLLsL
15|3 12 LLLLLLLsLLLLLLLLLsL
14|4 3 LLLLLLLsLLLLLLLLsLL
13|5 13 LLLLLLsLLLLLLLLLsLL
12|6 4 LLLLLLsLLLLLLLLsLLL
11|7 14 LLLLLsLLLLLLLLLsLLL
10|8 5 LLLLLsLLLLLLLLsLLLL
9|9 15 LLLLsLLLLLLLLLsLLLL
8|10 6 LLLLsLLLLLLLLsLLLLL
7|11 16 LLLsLLLLLLLLLsLLLLL
6|12 7 LLLsLLLLLLLLsLLLLLL
5|13 17 LLsLLLLLLLLLsLLLLLL
4|14 8 LLsLLLLLLLLsLLLLLLL
3|15 18 LsLLLLLLLLLsLLLLLLL
2|16 9 LsLLLLLLLLsLLLLLLLL
1|17 19 sLLLLLLLLLsLLLLLLLL
0|18 10 sLLLLLLLLsLLLLLLLLL

## Scale tree

Scale Tree and Tuning Spectrum of 17L 2s
Bright Dark L:s Hardness
10\19 631.579 568.421 1:1 1.000 Equalized 17L 2s
59\112 632.143 567.857 6:5 1.200
49\93 632.258 567.742 5:4 1.250
88\167 632.335 567.665 9:7 1.286
39\74 632.432 567.568 4:3 1.333 Supersoft 17L 2s
107\203 632.512 567.488 11:8 1.375
68\129 632.558 567.442 7:5 1.400
97\184 632.609 567.391 10:7 1.429
29\55 632.727 567.273 3:2 1.500 Soft 17L 2s
106\201 632.836 567.164 11:7 1.571
77\146 632.877 567.123 8:5 1.600
125\237 632.911 567.089 13:8 1.625
48\91 632.967 567.033 5:3 1.667 Semisoft 17L 2s
115\218 633.028 566.972 12:7 1.714
67\127 633.071 566.929 7:4 1.750
86\163 633.129 566.871 9:5 1.800
19\36 633.333 566.667 2:1 2.000 Basic 17L 2s
Scales with tunings softer than this are proper
85\161 633.540 566.460 9:4 2.250
66\125 633.600 566.400 7:3 2.333
113\214 633.645 566.355 12:5 2.400
47\89 633.708 566.292 5:2 2.500 Semihard 17L 2s
122\231 633.766 566.234 13:5 2.600
75\142 633.803 566.197 8:3 2.667
103\195 633.846 566.154 11:4 2.750
28\53 633.962 566.038 3:1 3.000 Hard 17L 2s
93\176 634.091 565.909 10:3 3.333
65\123 634.146 565.854 7:2 3.500
102\193 634.197 565.803 11:3 3.667
37\70 634.286 565.714 4:1 4.000 Superhard 17L 2s
83\157 634.395 565.605 9:2 4.500
46\87 634.483 565.517 5:1 5.000
55\104 634.615 565.385 6:1 6.000
9\17 635.294 564.706 1:0 → ∞ Collapsed 17L 2s
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