19L 5s

↖ 18L 4s	↑ 19L 4s	20L 4s ↗
← 18L 5s	19L 5s	20L 5s →
↙ 18L 6s	↓ 19L 6s	20L 6s ↘

┌╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬╥╥╥┬┐ │║║║║│║║║║│║║║║│║║║║│║║║││ ││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLsLLLLsLLLLsLLLLsLLLs sLLLsLLLLsLLLLsLLLLsLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	5\24 to 4\19 (250.0 ¢ to 252.6 ¢)
Dark	15\19 to 19\24 (947.4 ¢ to 950.0 ¢)
TAMNAMS information
Related to	5L 4s (semiquartal)
With tunings	3:1 to 4:1 (parahard)
Related MOS scales
Parent	5L 14s
Sister	5L 19s
Daughters	24L 19s, 19L 24s
Neutralized	14L 10s
2-Flought	43L 5s, 19L 29s
Equal tunings
Equalized (L:s = 1:1)	5\24 (250.0 ¢)
Supersoft (L:s = 4:3)	19\91 (250.5 ¢)
Soft (L:s = 3:2)	14\67 (250.7 ¢)
Semisoft (L:s = 5:3)	23\110 (250.9 ¢)
Basic (L:s = 2:1)	9\43 (251.2 ¢)
Semihard (L:s = 5:2)	22\105 (251.4 ¢)
Hard (L:s = 3:1)	13\62 (251.6 ¢)
Superhard (L:s = 4:1)	17\81 (251.9 ¢)
Collapsed (L:s = 1:0)	4\19 (252.6 ¢)

19L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 5 small steps, repeating every octave. 19L 5s is a great-grandchild scale of 5L 4s, expanding it by 15 tones. Generators that produce this scale range from 250 ¢ to 252.6 ¢, or from 947.4 ¢ to 950 ¢.

Modes

Modes of 19L 5s

UDP	Cyclic order	Step pattern
23|0	1	LLLLsLLLLsLLLLsLLLLsLLLs
22|1	6	LLLLsLLLLsLLLLsLLLsLLLLs
21|2	11	LLLLsLLLLsLLLsLLLLsLLLLs
20|3	16	LLLLsLLLsLLLLsLLLLsLLLLs
19|4	21	LLLsLLLLsLLLLsLLLLsLLLLs
18|5	2	LLLsLLLLsLLLLsLLLLsLLLsL
17|6	7	LLLsLLLLsLLLLsLLLsLLLLsL
16|7	12	LLLsLLLLsLLLsLLLLsLLLLsL
15|8	17	LLLsLLLsLLLLsLLLLsLLLLsL
14|9	22	LLsLLLLsLLLLsLLLLsLLLLsL
13|10	3	LLsLLLLsLLLLsLLLLsLLLsLL
12|11	8	LLsLLLLsLLLLsLLLsLLLLsLL
11|12	13	LLsLLLLsLLLsLLLLsLLLLsLL
10|13	18	LLsLLLsLLLLsLLLLsLLLLsLL
9|14	23	LsLLLLsLLLLsLLLLsLLLLsLL
8|15	4	LsLLLLsLLLLsLLLLsLLLsLLL
7|16	9	LsLLLLsLLLLsLLLsLLLLsLLL
6|17	14	LsLLLLsLLLsLLLLsLLLLsLLL
5|18	19	LsLLLsLLLLsLLLLsLLLLsLLL
4|19	24	sLLLLsLLLLsLLLLsLLLLsLLL
3|20	5	sLLLLsLLLLsLLLLsLLLsLLLL
2|21	10	sLLLLsLLLLsLLLsLLLLsLLLL
1|22	15	sLLLLsLLLsLLLLsLLLLsLLLL
0|23	20	sLLLsLLLLsLLLLsLLLLsLLLL

Tuning spectrum

generator											L	s	L/s	gen (cents)	comment
4\19											1	0		252.632
										45\214	11	1	11.000	252.336
									41\195		10	1	10.000	252.308
								37\176			9	1	9.000	252.273
							33\157				8	1	8.000	252.229
						29\138					7	1	7.000	252.174
					25\119						6	1	6.000	252.101
						46\219					11	2	5.500	252.055
				21\100							5	1	5.000	252.000
					38\181						9	2	4.500	251.934
			17\81								4	1	4.000	251.852
				30\143							7	2	3.500	251.748
					43\205						10	3	3.333	251.707
		13\62									3	1	3.000	251.613
				35\167							8	3	2.667	251.497
			22\105								5	2	2.500	251.429
				31\148							7	3	2.333	251.351
					40\191						9	4	2.250	251.309
	9\43										2	1	2.000	251.163
					41\196						9	5	1.800	251.020
				32\153							7	4	1.750	250.980
			23\110								5	3	1.667	250.909
				37\177							8	5	1.600	250.847
		14\67									3	2	1.500	250.746
				33\158							7	5	1.400	250.633
			19\91								4	3	1.333	250.549
					43\206						9	7	1.286	250.485
				24\115							5	4	1.250	250.435
					29\139						6	5	1.200	250.360
						34\163					7	6	1.167	250.307
							39\187				8	7	1.143	250.267
								44\211			9	8	1.125	250.237
									49\235		10	9	1.111	250.213
										54\259	11	10	1.100	250.193
5\24											1	1	1.000	250.000