19L 6s

↖18L 5s	↑19L 5s	20L 5s↗
←18L 6s	19L 6s	20L 6s→
↙18L 7s	↓19L 7s	20L 7s↘

┌╥╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬┐ │║║║║│║║║│║║║│║║║│║║║│║║║││ │││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLsLLLsLLLsLLLsLLLsLLLs sLLLsLLLsLLLsLLLsLLLsLLLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Step size ranges
Large	1\25 to 1\19 (48.0¢ to 63.2¢)
Small	0\19 to 1\25 (0.0¢ to 48.0¢)
Generator size
Bright	21\25 to 16\19 (1008.0¢ to 1010.5¢)
Dark	3\19 to 4\25 (189.5¢ to 192.0¢)
TAMNAMS information
Descends from	6L 1s (archaeotonic)
Related MOS scales
Parent	6L 13s
Sister	6L 19s
Daughters	25L 19s 19L 25s
Equal tunings
Equalized (L:s = 1:1)	21\25 (1008.0¢)
Supersoft (L:s = 4:3)	79\94 (1008.5¢)
Soft (L:s = 3:2)	58\69 (1008.7¢)
Semisoft (L:s = 5:3)	95\113 (1008.8¢)
Basic (L:s = 2:1)	37\44 (1009.1¢)
Semihard (L:s = 5:2)	90\107 (1009.3¢)
Hard (L:s = 3:1)	53\63 (1009.5¢)
Superhard (L:s = 4:1)	69\82 (1009.8¢)
Collapsed (L:s = 1:0)	16\19 (1010.5¢)

19L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 6 small steps, repeating every octave. 19L 6s is a great-grandchild scale of 6L 1s, expanding it by 18 tones. Generators that produce this scale range from 1008¢ to 1010.5¢, or from 189.5¢ to 192¢.

Modes

Modes of 19L 6s

UDP	Rotational order	Step pattern
24|0	1	LLLLsLLLsLLLsLLLsLLLsLLLs
23|1	22	LLLsLLLLsLLLsLLLsLLLsLLLs
22|2	18	LLLsLLLsLLLLsLLLsLLLsLLLs
21|3	14	LLLsLLLsLLLsLLLLsLLLsLLLs
20|4	10	LLLsLLLsLLLsLLLsLLLLsLLLs
19|5	6	LLLsLLLsLLLsLLLsLLLsLLLLs
18|6	2	LLLsLLLsLLLsLLLsLLLsLLLsL
17|7	23	LLsLLLLsLLLsLLLsLLLsLLLsL
16|8	19	LLsLLLsLLLLsLLLsLLLsLLLsL
15|9	15	LLsLLLsLLLsLLLLsLLLsLLLsL
14|10	11	LLsLLLsLLLsLLLsLLLLsLLLsL
13|11	7	LLsLLLsLLLsLLLsLLLsLLLLsL
12|12	3	LLsLLLsLLLsLLLsLLLsLLLsLL
11|13	24	LsLLLLsLLLsLLLsLLLsLLLsLL
10|14	20	LsLLLsLLLLsLLLsLLLsLLLsLL
9|15	16	LsLLLsLLLsLLLLsLLLsLLLsLL
8|16	12	LsLLLsLLLsLLLsLLLLsLLLsLL
7|17	8	LsLLLsLLLsLLLsLLLsLLLLsLL
6|18	4	LsLLLsLLLsLLLsLLLsLLLsLLL
5|19	25	sLLLLsLLLsLLLsLLLsLLLsLLL
4|20	21	sLLLsLLLLsLLLsLLLsLLLsLLL
3|21	17	sLLLsLLLsLLLLsLLLsLLLsLLL
2|22	13	sLLLsLLLsLLLsLLLLsLLLsLLL
1|23	9	sLLLsLLLsLLLsLLLsLLLLsLLL
0|24	5	sLLLsLLLsLLLsLLLsLLLsLLLL

Scale tree

Scale tree and tuning spectrum of 19L 6s

Generator (in steps of edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
21\25						1008.000	192.000	1:1	1.000	Equalized 19L 6s
					121\144	1008.333	191.667	6:5	1.200
				100\119		1008.403	191.597	5:4	1.250
					179\213	1008.451	191.549	9:7	1.286
			79\94			1008.511	191.489	4:3	1.333	Supersoft 19L 6s
					216\257	1008.560	191.440	11:8	1.375
				137\163		1008.589	191.411	7:5	1.400
					195\232	1008.621	191.379	10:7	1.429
		58\69				1008.696	191.304	3:2	1.500	Soft 19L 6s
					211\251	1008.765	191.235	11:7	1.571
				153\182		1008.791	191.209	8:5	1.600
					248\295	1008.814	191.186	13:8	1.625
			95\113			1008.850	191.150	5:3	1.667	Semisoft 19L 6s
					227\270	1008.889	191.111	12:7	1.714
				132\157		1008.917	191.083	7:4	1.750
					169\201	1008.955	191.045	9:5	1.800
	37\44					1009.091	190.909	2:1	2.000	Basic 19L 6s Scales with tunings softer than this are proper
					164\195	1009.231	190.769	9:4	2.250
				127\151		1009.272	190.728	7:3	2.333
					217\258	1009.302	190.698	12:5	2.400
			90\107			1009.346	190.654	5:2	2.500	Semihard 19L 6s
					233\277	1009.386	190.614	13:5	2.600
				143\170		1009.412	190.588	8:3	2.667
					196\233	1009.442	190.558	11:4	2.750
		53\63				1009.524	190.476	3:1	3.000	Hard 19L 6s
					175\208	1009.615	190.385	10:3	3.333
				122\145		1009.655	190.345	7:2	3.500
					191\227	1009.692	190.308	11:3	3.667
			69\82			1009.756	190.244	4:1	4.000	Superhard 19L 6s
					154\183	1009.836	190.164	9:2	4.500
				85\101		1009.901	190.099	5:1	5.000
					101\120	1010.000	190.000	6:1	6.000
16\19						1010.526	189.474	1:0	→ ∞	Collapsed 19L 6s

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