7L 12s

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↖ 6L 11s ↑ 7L 11s 8L 11s ↗
← 6L 12s 7L 12s 8L 12s →
↙ 6L 13s ↓ 7L 13s 8L 13s ↘ 
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLssLssLsLssLssLss
ssLssLssLsLssLssLsL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 8\19 to 3\7 (505.3¢ to 514.3¢)
Dark 4\7 to 11\19 (685.7¢ to 694.7¢)
TAMNAMS information
Descends from 5L 2s (diatonic)
Ancestor's step ratio range 1:1 to 3:2 (soft)
Related MOS scales
Parent 7L 5s
Sister 12L 7s
Daughters 19L 7s, 7L 19s
Neutralized 14L 5s
2-Flought 26L 12s, 7L 31s
Equal tunings
Equalized (L:s = 1:1) 8\19 (505.3¢)
Supersoft (L:s = 4:3) 27\64 (506.2¢)
Soft (L:s = 3:2) 19\45 (506.7¢)
Semisoft (L:s = 5:3) 30\71 (507.0¢)
Basic (L:s = 2:1) 11\26 (507.7¢)
Semihard (L:s = 5:2) 25\59 (508.5¢)
Hard (L:s = 3:1) 14\33 (509.1¢)
Superhard (L:s = 4:1) 17\40 (510.0¢)
Collapsed (L:s = 1:0) 3\7 (514.3¢)

7L 12s, also called f-enharmonic, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 12 small steps, repeating every octave. 7L 12s is a grandchild scale of 5L 2s, expanding it by 12 tones. Generators that produce this scale range from 505.3¢ to 514.3¢, or from 685.7¢ to 694.7¢.

Temperaments associated with this scale include flattone, as the flattone enharmonic scale.

Modes

Modes of 7L 12s
UDP Cyclic
order		 Step
pattern
18|0 1 LsLssLssLsLssLssLss
17|1 9 LsLssLssLssLsLssLss
16|2 17 LssLsLssLssLsLssLss
15|3 6 LssLsLssLssLssLsLss
14|4 14 LssLssLsLssLssLsLss
13|5 3 LssLssLsLssLssLssLs
12|6 11 LssLssLssLsLssLssLs
11|7 19 sLsLssLssLsLssLssLs
10|8 8 sLsLssLssLssLsLssLs
9|9 16 sLssLsLssLssLsLssLs
8|10 5 sLssLsLssLssLssLsLs
7|11 13 sLssLssLsLssLssLsLs
6|12 2 sLssLssLsLssLssLssL
5|13 10 sLssLssLssLsLssLssL
4|14 18 ssLsLssLssLsLssLssL
3|15 7 ssLsLssLssLssLsLssL
2|16 15 ssLssLsLssLssLsLssL
1|17 4 ssLssLsLssLssLssLsL
0|18 12 ssLssLssLsLssLssLsL

Intervals

Intervals of 7L 12s
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 63.2¢
Major 1-mosstep M1ms L 63.2¢ to 171.4¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0¢ to 126.3¢
Major 2-mosstep M2ms L + s 126.3¢ to 171.4¢
3-mosstep Minor 3-mosstep m3ms L + 2s 171.4¢ to 189.5¢
Major 3-mosstep M3ms 2L + s 189.5¢ to 342.9¢
4-mosstep Minor 4-mosstep m4ms L + 3s 171.4¢ to 252.6¢
Major 4-mosstep M4ms 2L + 2s 252.6¢ to 342.9¢
5-mosstep Minor 5-mosstep m5ms L + 4s 171.4¢ to 315.8¢
Major 5-mosstep M5ms 2L + 3s 315.8¢ to 342.9¢
6-mosstep Minor 6-mosstep m6ms 2L + 4s 342.9¢ to 378.9¢
Major 6-mosstep M6ms 3L + 3s 378.9¢ to 514.3¢
7-mosstep Minor 7-mosstep m7ms 2L + 5s 342.9¢ to 442.1¢
Major 7-mosstep M7ms 3L + 4s 442.1¢ to 514.3¢
8-mosstep Diminished 8-mosstep d8ms 2L + 6s 342.9¢ to 505.3¢
Perfect 8-mosstep P8ms 3L + 5s 505.3¢ to 514.3¢
9-mosstep Minor 9-mosstep m9ms 3L + 6s 514.3¢ to 568.4¢
Major 9-mosstep M9ms 4L + 5s 568.4¢ to 685.7¢
10-mosstep Minor 10-mosstep m10ms 3L + 7s 514.3¢ to 631.6¢
Major 10-mosstep M10ms 4L + 6s 631.6¢ to 685.7¢
11-mosstep Perfect 11-mosstep P11ms 4L + 7s 685.7¢ to 694.7¢
Augmented 11-mosstep A11ms 5L + 6s 694.7¢ to 857.1¢
12-mosstep Minor 12-mosstep m12ms 4L + 8s 685.7¢ to 757.9¢
Major 12-mosstep M12ms 5L + 7s 757.9¢ to 857.1¢
13-mosstep Minor 13-mosstep m13ms 4L + 9s 685.7¢ to 821.1¢
Major 13-mosstep M13ms 5L + 8s 821.1¢ to 857.1¢
14-mosstep Minor 14-mosstep m14ms 5L + 9s 857.1¢ to 884.2¢
Major 14-mosstep M14ms 6L + 8s 884.2¢ to 1028.6¢
15-mosstep Minor 15-mosstep m15ms 5L + 10s 857.1¢ to 947.4¢
Major 15-mosstep M15ms 6L + 9s 947.4¢ to 1028.6¢
16-mosstep Minor 16-mosstep m16ms 5L + 11s 857.1¢ to 1010.5¢
Major 16-mosstep M16ms 6L + 10s 1010.5¢ to 1028.6¢
17-mosstep Minor 17-mosstep m17ms 6L + 11s 1028.6¢ to 1073.7¢
Major 17-mosstep M17ms 7L + 10s 1073.7¢ to 1200.0¢
18-mosstep Minor 18-mosstep m18ms 6L + 12s 1028.6¢ to 1136.8¢
Major 18-mosstep M18ms 7L + 11s 1136.8¢ to 1200.0¢
19-mosstep Perfect 19-mosstep P19ms 7L + 12s 1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 7L 12s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
8\19 505.263 694.737 1:1 1.000 Equalized 7L 12s
43\102 505.882 694.118 6:5 1.200
35\83 506.024 693.976 5:4 1.250
62\147 506.122 693.878 9:7 1.286
27\64 506.250 693.750 4:3 1.333 Supersoft 7L 12s
73\173 506.358 693.642 11:8 1.375
46\109 506.422 693.578 7:5 1.400
65\154 506.494 693.506 10:7 1.429
19\45 506.667 693.333 3:2 1.500 Soft 7L 12s
Flattone
68\161 506.832 693.168 11:7 1.571
49\116 506.897 693.103 8:5 1.600
79\187 506.952 693.048 13:8 1.625 Golden flattone (506.9365¢)
30\71 507.042 692.958 5:3 1.667 Semisoft 7L 12s
71\168 507.143 692.857 12:7 1.714
41\97 507.216 692.784 7:4 1.750
52\123 507.317 692.683 9:5 1.800
11\26 507.692 692.308 2:1 2.000 Basic 7L 12s
Scales with tunings softer than this are proper
47\111 508.108 691.892 9:4 2.250
36\85 508.235 691.765 7:3 2.333
61\144 508.333 691.667 12:5 2.400
25\59 508.475 691.525 5:2 2.500 Semihard 7L 12s
Flattertone
64\151 508.609 691.391 13:5 2.600 Unnamed golden tuning (508.6329¢)
39\92 508.696 691.304 8:3 2.667
53\125 508.800 691.200 11:4 2.750
14\33 509.091 690.909 3:1 3.000 Hard 7L 12s
45\106 509.434 690.566 10:3 3.333
31\73 509.589 690.411 7:2 3.500
48\113 509.735 690.265 11:3 3.667
17\40 510.000 690.000 4:1 4.000 Superhard 7L 12s
37\87 510.345 689.655 9:2 4.500
20\47 510.638 689.362 5:1 5.000
23\54 511.111 688.889 6:1 6.000 Deeptone
3\7 514.286 685.714 1:0 → ∞ Collapsed 7L 12s
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