7L 10s

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↖ 6L 9s ↑ 7L 9s 8L 9s ↗
← 6L 10s 7L 10s 8L 10s →
↙ 6L 11s ↓ 7L 11s 8L 11s ↘ 
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Scale structure
Step pattern LsLsLssLsLssLsLss
ssLsLssLsLssLsLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 12\17 to 5\7 (847.1 ¢ to 857.1 ¢)
Dark 2\7 to 5\17 (342.9 ¢ to 352.9 ¢)
TAMNAMS information
Descends from 7L 3s (dicoid)
Ancestor's step ratio range 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 7L 3s
Sister 10L 7s
Daughters 17L 7s, 7L 17s
Neutralized 14L 3s
2-Flought 24L 10s, 7L 27s
Equal tunings
Equalized (L:s = 1:1) 12\17 (847.1 ¢)
Supersoft (L:s = 4:3) 41\58 (848.3 ¢)
Soft (L:s = 3:2) 29\41 (848.8 ¢)
Semisoft (L:s = 5:3) 46\65 (849.2 ¢)
Basic (L:s = 2:1) 17\24 (850.0 ¢)
Semihard (L:s = 5:2) 39\55 (850.9 ¢)
Hard (L:s = 3:1) 22\31 (851.6 ¢)
Superhard (L:s = 4:1) 27\38 (852.6 ¢)
Collapsed (L:s = 1:0) 5\7 (857.1 ¢)

7L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 10 small steps, repeating every octave. 7L 10s is a child scale of 7L 3s, expanding it by 7 tones. Generators that produce this scale range from 847.1 ¢ to 857.1 ¢, or from 342.9 ¢ to 352.9 ¢.

This MOS is a neutral thirds-style meantone scale which spaces its large steps 2s-s-s-2s-s-s-s-2s. It is an improper Mohajira scale when the generator is c. 9\31edo (348.387 cents) and its entire spectrum is 2\7edo (342.857) to 5\17edo (352.941).

Modes

Modes of 7L 10s
UDP Cyclic
order		 Step
pattern
16|0 1 LsLsLssLsLssLsLss
15|1 13 LsLssLsLsLssLsLss
14|2 8 LsLssLsLssLsLsLss
13|3 3 LsLssLsLssLsLssLs
12|4 15 LssLsLsLssLsLssLs
11|5 10 LssLsLssLsLsLssLs
10|6 5 LssLsLssLsLssLsLs
9|7 17 sLsLsLssLsLssLsLs
8|8 12 sLsLssLsLsLssLsLs
7|9 7 sLsLssLsLssLsLsLs
6|10 2 sLsLssLsLssLsLssL
5|11 14 sLssLsLsLssLsLssL
4|12 9 sLssLsLssLsLsLssL
3|13 4 sLssLsLssLsLssLsL
2|14 16 ssLsLsLssLsLssLsL
1|15 11 ssLsLssLsLsLssLsL
0|16 6 ssLsLssLsLssLsLsL

Intervals

Intervals of 7L 10s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Minor 1-mosstep m1ms s 0.0 ¢ to 70.6 ¢
Major 1-mosstep M1ms L 70.6 ¢ to 171.4 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 141.2 ¢
Major 2-mosstep M2ms L + s 141.2 ¢ to 171.4 ¢
3-mosstep Minor 3-mosstep m3ms L + 2s 171.4 ¢ to 211.8 ¢
Major 3-mosstep M3ms 2L + s 211.8 ¢ to 342.9 ¢
4-mosstep Minor 4-mosstep m4ms L + 3s 171.4 ¢ to 282.4 ¢
Major 4-mosstep M4ms 2L + 2s 282.4 ¢ to 342.9 ¢
5-mosstep Perfect 5-mosstep P5ms 2L + 3s 342.9 ¢ to 352.9 ¢
Augmented 5-mosstep A5ms 3L + 2s 352.9 ¢ to 514.3 ¢
6-mosstep Minor 6-mosstep m6ms 2L + 4s 342.9 ¢ to 423.5 ¢
Major 6-mosstep M6ms 3L + 3s 423.5 ¢ to 514.3 ¢
7-mosstep Minor 7-mosstep m7ms 2L + 5s 342.9 ¢ to 494.1 ¢
Major 7-mosstep M7ms 3L + 4s 494.1 ¢ to 514.3 ¢
8-mosstep Minor 8-mosstep m8ms 3L + 5s 514.3 ¢ to 564.7 ¢
Major 8-mosstep M8ms 4L + 4s 564.7 ¢ to 685.7 ¢
9-mosstep Minor 9-mosstep m9ms 3L + 6s 514.3 ¢ to 635.3 ¢
Major 9-mosstep M9ms 4L + 5s 635.3 ¢ to 685.7 ¢
10-mosstep Minor 10-mosstep m10ms 4L + 6s 685.7 ¢ to 705.9 ¢
Major 10-mosstep M10ms 5L + 5s 705.9 ¢ to 857.1 ¢
11-mosstep Minor 11-mosstep m11ms 4L + 7s 685.7 ¢ to 776.5 ¢
Major 11-mosstep M11ms 5L + 6s 776.5 ¢ to 857.1 ¢
12-mosstep Diminished 12-mosstep d12ms 4L + 8s 685.7 ¢ to 847.1 ¢
Perfect 12-mosstep P12ms 5L + 7s 847.1 ¢ to 857.1 ¢
13-mosstep Minor 13-mosstep m13ms 5L + 8s 857.1 ¢ to 917.6 ¢
Major 13-mosstep M13ms 6L + 7s 917.6 ¢ to 1028.6 ¢
14-mosstep Minor 14-mosstep m14ms 5L + 9s 857.1 ¢ to 988.2 ¢
Major 14-mosstep M14ms 6L + 8s 988.2 ¢ to 1028.6 ¢
15-mosstep Minor 15-mosstep m15ms 6L + 9s 1028.6 ¢ to 1058.8 ¢
Major 15-mosstep M15ms 7L + 8s 1058.8 ¢ to 1200.0 ¢
16-mosstep Minor 16-mosstep m16ms 6L + 10s 1028.6 ¢ to 1129.4 ¢
Major 16-mosstep M16ms 7L + 9s 1129.4 ¢ to 1200.0 ¢
17-mosstep Perfect 17-mosstep P17ms 7L + 10s 1200.0 ¢

Scale tree

Icon-Deprecated.png Scale tree is deprecated. Please use Template: MOS tuning spectrum instead.
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: 
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


Scale tree and tuning spectrum of 7L 10s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
12\17 847.059 352.941 1:1 1.000 Equalized 7L 10s
65\92 847.826 352.174 6:5 1.200
53\75 848.000 352.000 5:4 1.250
94\133 848.120 351.880 9:7 1.286
41\58 848.276 351.724 4:3 1.333 Supersoft 7L 10s
111\157 848.408 351.592 11:8 1.375
70\99 848.485 351.515 7:5 1.400
99\140 848.571 351.429 10:7 1.429
29\41 848.780 351.220 3:2 1.500 Soft 7L 10s
104\147 848.980 351.020 11:7 1.571
75\106 849.057 350.943 8:5 1.600
121\171 849.123 350.877 13:8 1.625
46\65 849.231 350.769 5:3 1.667 Semisoft 7L 10s
109\154 849.351 350.649 12:7 1.714
63\89 849.438 350.562 7:4 1.750
80\113 849.558 350.442 9:5 1.800
17\24 850.000 350.000 2:1 2.000 Basic 7L 10s
Scales with tunings softer than this are proper
73\103 850.485 349.515 9:4 2.250
56\79 850.633 349.367 7:3 2.333
95\134 850.746 349.254 12:5 2.400
39\55 850.909 349.091 5:2 2.500 Semihard 7L 10s
100\141 851.064 348.936 13:5 2.600
61\86 851.163 348.837 8:3 2.667
83\117 851.282 348.718 11:4 2.750
22\31 851.613 348.387 3:1 3.000 Hard 7L 10s
71\100 852.000 348.000 10:3 3.333
49\69 852.174 347.826 7:2 3.500
76\107 852.336 347.664 11:3 3.667
27\38 852.632 347.368 4:1 4.000 Superhard 7L 10s
59\83 853.012 346.988 9:2 4.500
32\45 853.333 346.667 5:1 5.000
37\52 853.846 346.154 6:1 6.000
5\7 857.143 342.857 1:0 → ∞ Collapsed 7L 10s
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