19L 8s

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↖ 18L 7s ↑ 19L 7s 20L 7s ↗
← 18L 8s 19L 8s 20L 8s →
↙ 18L 9s ↓ 19L 9s 20L 9s ↘ 
┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬┐
│║║║│║║│║║║│║║│║║│║║║│║║│║║││
│││││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLsLLsLLLsLLsLLsLLLsLLsLLs
sLLsLLsLLLsLLsLLsLLLsLLsLLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 17\27 to 12\19 (755.6¢ to 757.9¢)
Dark 7\19 to 10\27 (442.1¢ to 444.4¢)
TAMNAMS information
Descends from 3L 5s (checkertonic)
Ancestor's step ratio range 4:3 to 3:2 (parasoft)
Related MOS scales
Parent 8L 11s
Sister 8L 19s
Daughters 27L 19s, 19L 27s
Neutralized 11L 16s
2-Flought 46L 8s, 19L 35s
Equal tunings
Equalized (L:s = 1:1) 17\27 (755.6¢)
Supersoft (L:s = 4:3) 63\100 (756.0¢)
Soft (L:s = 3:2) 46\73 (756.2¢)
Semisoft (L:s = 5:3) 75\119 (756.3¢)
Basic (L:s = 2:1) 29\46 (756.5¢)
Semihard (L:s = 5:2) 70\111 (756.8¢)
Hard (L:s = 3:1) 41\65 (756.9¢)
Superhard (L:s = 4:1) 53\84 (757.1¢)
Collapsed (L:s = 1:0) 12\19 (757.9¢)

19L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 8 small steps, repeating every octave. 19L 8s is a great-grandchild scale of 3L 5s, expanding it by 19 tones. Generators that produce this scale range from 755.6¢ to 757.9¢, or from 442.1¢ to 444.4¢.

Modes

Modes of 19L 8s
UDP Cyclic
order		 Step
pattern
26|0 1 LLLsLLsLLLsLLsLLsLLLsLLsLLs
25|1 18 LLLsLLsLLsLLLsLLsLLLsLLsLLs
24|2 8 LLLsLLsLLsLLLsLLsLLsLLLsLLs
23|3 25 LLsLLLsLLsLLLsLLsLLsLLLsLLs
22|4 15 LLsLLLsLLsLLsLLLsLLsLLLsLLs
21|5 5 LLsLLLsLLsLLsLLLsLLsLLsLLLs
20|6 22 LLsLLsLLLsLLsLLLsLLsLLsLLLs
19|7 12 LLsLLsLLLsLLsLLsLLLsLLsLLLs
18|8 2 LLsLLsLLLsLLsLLsLLLsLLsLLsL
17|9 19 LLsLLsLLsLLLsLLsLLLsLLsLLsL
16|10 9 LLsLLsLLsLLLsLLsLLsLLLsLLsL
15|11 26 LsLLLsLLsLLLsLLsLLsLLLsLLsL
14|12 16 LsLLLsLLsLLsLLLsLLsLLLsLLsL
13|13 6 LsLLLsLLsLLsLLLsLLsLLsLLLsL
12|14 23 LsLLsLLLsLLsLLLsLLsLLsLLLsL
11|15 13 LsLLsLLLsLLsLLsLLLsLLsLLLsL
10|16 3 LsLLsLLLsLLsLLsLLLsLLsLLsLL
9|17 20 LsLLsLLsLLLsLLsLLLsLLsLLsLL
8|18 10 LsLLsLLsLLLsLLsLLsLLLsLLsLL
7|19 27 sLLLsLLsLLLsLLsLLsLLLsLLsLL
6|20 17 sLLLsLLsLLsLLLsLLsLLLsLLsLL
5|21 7 sLLLsLLsLLsLLLsLLsLLsLLLsLL
4|22 24 sLLsLLLsLLsLLLsLLsLLsLLLsLL
3|23 14 sLLsLLLsLLsLLsLLLsLLsLLLsLL
2|24 4 sLLsLLLsLLsLLsLLLsLLsLLsLLL
1|25 21 sLLsLLsLLLsLLsLLLsLLsLLsLLL
0|26 11 sLLsLLsLLLsLLsLLsLLLsLLsLLL

Intervals

Intervals of 19L 8s
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 44.4¢
Major 1-mosstep M1ms L 44.4¢ to 63.2¢
2-mosstep Minor 2-mosstep m2ms L + s 63.2¢ to 88.9¢
Major 2-mosstep M2ms 2L 88.9¢ to 126.3¢
3-mosstep Minor 3-mosstep m3ms 2L + s 126.3¢ to 133.3¢
Major 3-mosstep M3ms 3L 133.3¢ to 189.5¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 126.3¢ to 177.8¢
Major 4-mosstep M4ms 3L + s 177.8¢ to 189.5¢
5-mosstep Minor 5-mosstep m5ms 3L + 2s 189.5¢ to 222.2¢
Major 5-mosstep M5ms 4L + s 222.2¢ to 252.6¢
6-mosstep Minor 6-mosstep m6ms 4L + 2s 252.6¢ to 266.7¢
Major 6-mosstep M6ms 5L + s 266.7¢ to 315.8¢
7-mosstep Minor 7-mosstep m7ms 4L + 3s 252.6¢ to 311.1¢
Major 7-mosstep M7ms 5L + 2s 311.1¢ to 315.8¢
8-mosstep Minor 8-mosstep m8ms 5L + 3s 315.8¢ to 355.6¢
Major 8-mosstep M8ms 6L + 2s 355.6¢ to 378.9¢
9-mosstep Minor 9-mosstep m9ms 6L + 3s 378.9¢ to 400.0¢
Major 9-mosstep M9ms 7L + 2s 400.0¢ to 442.1¢
10-mosstep Perfect 10-mosstep P10ms 7L + 3s 442.1¢ to 444.4¢
Augmented 10-mosstep A10ms 8L + 2s 444.4¢ to 505.3¢
11-mosstep Minor 11-mosstep m11ms 7L + 4s 442.1¢ to 488.9¢
Major 11-mosstep M11ms 8L + 3s 488.9¢ to 505.3¢
12-mosstep Minor 12-mosstep m12ms 8L + 4s 505.3¢ to 533.3¢
Major 12-mosstep M12ms 9L + 3s 533.3¢ to 568.4¢
13-mosstep Minor 13-mosstep m13ms 9L + 4s 568.4¢ to 577.8¢
Major 13-mosstep M13ms 10L + 3s 577.8¢ to 631.6¢
14-mosstep Minor 14-mosstep m14ms 9L + 5s 568.4¢ to 622.2¢
Major 14-mosstep M14ms 10L + 4s 622.2¢ to 631.6¢
15-mosstep Minor 15-mosstep m15ms 10L + 5s 631.6¢ to 666.7¢
Major 15-mosstep M15ms 11L + 4s 666.7¢ to 694.7¢
16-mosstep Minor 16-mosstep m16ms 11L + 5s 694.7¢ to 711.1¢
Major 16-mosstep M16ms 12L + 4s 711.1¢ to 757.9¢
17-mosstep Diminished 17-mosstep d17ms 11L + 6s 694.7¢ to 755.6¢
Perfect 17-mosstep P17ms 12L + 5s 755.6¢ to 757.9¢
18-mosstep Minor 18-mosstep m18ms 12L + 6s 757.9¢ to 800.0¢
Major 18-mosstep M18ms 13L + 5s 800.0¢ to 821.1¢
19-mosstep Minor 19-mosstep m19ms 13L + 6s 821.1¢ to 844.4¢
Major 19-mosstep M19ms 14L + 5s 844.4¢ to 884.2¢
20-mosstep Minor 20-mosstep m20ms 14L + 6s 884.2¢ to 888.9¢
Major 20-mosstep M20ms 15L + 5s 888.9¢ to 947.4¢
21-mosstep Minor 21-mosstep m21ms 14L + 7s 884.2¢ to 933.3¢
Major 21-mosstep M21ms 15L + 6s 933.3¢ to 947.4¢
22-mosstep Minor 22-mosstep m22ms 15L + 7s 947.4¢ to 977.8¢
Major 22-mosstep M22ms 16L + 6s 977.8¢ to 1010.5¢
23-mosstep Minor 23-mosstep m23ms 16L + 7s 1010.5¢ to 1022.2¢
Major 23-mosstep M23ms 17L + 6s 1022.2¢ to 1073.7¢
24-mosstep Minor 24-mosstep m24ms 16L + 8s 1010.5¢ to 1066.7¢
Major 24-mosstep M24ms 17L + 7s 1066.7¢ to 1073.7¢
25-mosstep Minor 25-mosstep m25ms 17L + 8s 1073.7¢ to 1111.1¢
Major 25-mosstep M25ms 18L + 7s 1111.1¢ to 1136.8¢
26-mosstep Minor 26-mosstep m26ms 18L + 8s 1136.8¢ to 1155.6¢
Major 26-mosstep M26ms 19L + 7s 1155.6¢ to 1200.0¢
27-mosstep Perfect 27-mosstep P27ms 19L + 8s 1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 19L 8s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
17\27 755.556 444.444 1:1 1.000 Equalized 19L 8s
97\154 755.844 444.156 6:5 1.200
80\127 755.906 444.094 5:4 1.250
143\227 755.947 444.053 9:7 1.286
63\100 756.000 444.000 4:3 1.333 Supersoft 19L 8s
172\273 756.044 443.956 11:8 1.375
109\173 756.069 443.931 7:5 1.400
155\246 756.098 443.902 10:7 1.429
46\73 756.164 443.836 3:2 1.500 Soft 19L 8s
167\265 756.226 443.774 11:7 1.571
121\192 756.250 443.750 8:5 1.600
196\311 756.270 443.730 13:8 1.625
75\119 756.303 443.697 5:3 1.667 Semisoft 19L 8s
179\284 756.338 443.662 12:7 1.714
104\165 756.364 443.636 7:4 1.750
133\211 756.398 443.602 9:5 1.800
29\46 756.522 443.478 2:1 2.000 Basic 19L 8s
Scales with tunings softer than this are proper
128\203 756.650 443.350 9:4 2.250
99\157 756.688 443.312 7:3 2.333
169\268 756.716 443.284 12:5 2.400
70\111 756.757 443.243 5:2 2.500 Semihard 19L 8s
181\287 756.794 443.206 13:5 2.600
111\176 756.818 443.182 8:3 2.667
152\241 756.846 443.154 11:4 2.750
41\65 756.923 443.077 3:1 3.000 Hard 19L 8s
135\214 757.009 442.991 10:3 3.333
94\149 757.047 442.953 7:2 3.500
147\233 757.082 442.918 11:3 3.667
53\84 757.143 442.857 4:1 4.000 Superhard 19L 8s
118\187 757.219 442.781 9:2 4.500
65\103 757.282 442.718 5:1 5.000
77\122 757.377 442.623 6:1 6.000
12\19 757.895 442.105 1:0 → ∞ Collapsed 19L 8s


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