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 ¢)
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
Related to	6L 1s (archaeotonic)
With tunings	3:1 to 4:1 (parahard)
Related MOS scales
Parent	6L 13s
Sister	6L 19s
Daughters	25L 19s, 19L 25s
Neutralized	13L 12s
2-Flought	44L 6s, 19L 31s
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	Cyclic 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

Tuning spectrum

generator											L	s	L/s	gen (cents)	comment
3\19											1	0		189.474
										34\215	11	1	11.000	189.767
									31\196		10	1	10.000	189.796
								28\177			9	1	9.000	189.831
							25\158				8	1	8.000	189.873
						22\139					7	1	7.000	189.928
					19\120						6	1	6.000	190.000
				16\101							5	1	5.000	190.099
					29\183						9	2	4.500	190.164
			13\82								4	1	4.000	190.244
				23\145							7	2	3.500	190.345
					33\208						10	3	3.333	190.385
		10\63									3	1	3.000	190.476
				27\170							8	3	2.667	190.588
			17\107								5	2	2.500	190.654
				24\151							7	3	2.333	190.728
					31\195						9	4	2.250	190.769
	7\44										2	1	2.000	190.909
					32\201						9	5	1.800	191.045
				25\157							7	4	1.750	191.083
			18\113								5	3	1.667	191.150
				29\182							8	5	1.600	191.209
		11\69									3	2	1.500	191.304
				26\163							7	5	1.400	191.411
			15\94								4	3	1.333	191.489
					34\213						9	7	1.286	191.549
				19\119							5	4	1.250	191.597
					23\144						6	5	1.200	191.667
						27\169					7	6	1.167	191.716
							31\194				8	7	1.143	191.753
								35\219			9	8	1.125	191.781
									39\244		10	9	1.111	191.803
										43\269	11	10	1.100	191.822
4\25											1	1	1.000	192.000