4L 19s

↖ 3L 18s	↑ 4L 18s	5L 18s ↗
← 3L 19s	4L 19s	5L 19s →
↙ 3L 20s	↓ 4L 20s	5L 20s ↘

┌╥┬┬┬┬╥┬┬┬┬┬╥┬┬┬┬┬╥┬┬┬┬┬┐ │║││││║│││││║│││││║││││││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssssLsssssLsssssLsssss sssssLsssssLsssssLssssL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	17\23 to 3\4 (887.0¢ to 900.0¢)
Dark	1\4 to 6\23 (300.0¢ to 313.0¢)
TAMNAMS information
Descends from	4L 3s (smitonic)
Ancestor's step ratio range	5:1 to 1:0
Related MOS scales
Parent	4L 15s
Sister	19L 4s
Daughters	23L 4s, 4L 23s
Neutralized	8L 15s
2-Flought	27L 19s, 4L 42s
Equal tunings
Equalized (L:s = 1:1)	17\23 (887.0¢)
Supersoft (L:s = 4:3)	54\73 (887.7¢)
Soft (L:s = 3:2)	37\50 (888.0¢)
Semisoft (L:s = 5:3)	57\77 (888.3¢)
Basic (L:s = 2:1)	20\27 (888.9¢)
Semihard (L:s = 5:2)	43\58 (889.7¢)
Hard (L:s = 3:1)	23\31 (890.3¢)
Superhard (L:s = 4:1)	26\35 (891.4¢)
Collapsed (L:s = 1:0)	3\4 (900.0¢)

4L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 19 small steps, repeating every octave. 4L 19s is related to 4L 3s, expanding it by 16 tones. Generators that produce this scale range from 887¢ to 900¢, or from 300¢ to 313¢.

Modes

Modes of 4L 19s

UDP	Cyclic Order	Step Pattern
22|0	1	LssssLsssssLsssssLsssss
21|1	18	LsssssLssssLsssssLsssss
20|2	12	LsssssLsssssLssssLsssss
19|3	6	LsssssLsssssLsssssLssss
18|4	23	sLssssLsssssLsssssLssss
17|5	17	sLsssssLssssLsssssLssss
16|6	11	sLsssssLsssssLssssLssss
15|7	5	sLsssssLsssssLsssssLsss
14|8	22	ssLssssLsssssLsssssLsss
13|9	16	ssLsssssLssssLsssssLsss
12|10	10	ssLsssssLsssssLssssLsss
11|11	4	ssLsssssLsssssLsssssLss
10|12	21	sssLssssLsssssLsssssLss
9|13	15	sssLsssssLssssLsssssLss
8|14	9	sssLsssssLsssssLssssLss
7|15	3	sssLsssssLsssssLsssssLs
6|16	20	ssssLssssLsssssLsssssLs
5|17	14	ssssLsssssLssssLsssssLs
4|18	8	ssssLsssssLsssssLssssLs
3|19	2	ssssLsssssLsssssLsssssL
2|20	19	sssssLssssLsssssLsssssL
1|21	13	sssssLsssssLssssLsssssL
0|22	7	sssssLsssssLsssssLssssL

Scale tree

Scale Tree and Tuning Spectrum of 4L 19s

Generator(edo)						Cents		Step Ratio		Comments
						Bright	Dark	L:s	Hardness
17\23						886.957	313.043	1:1	1.000	Equalized 4L 19s
					88\119	887.395	312.605	6:5	1.200
				71\96		887.500	312.500	5:4	1.250
					125\169	887.574	312.426	9:7	1.286
			54\73			887.671	312.329	4:3	1.333	Supersoft 4L 19s
					145\196	887.755	312.245	11:8	1.375
				91\123		887.805	312.195	7:5	1.400
					128\173	887.861	312.139	10:7	1.429
		37\50				888.000	312.000	3:2	1.500	Soft 4L 19s
					131\177	888.136	311.864	11:7	1.571
				94\127		888.189	311.811	8:5	1.600
					151\204	888.235	311.765	13:8	1.625
			57\77			888.312	311.688	5:3	1.667	Semisoft 4L 19s
					134\181	888.398	311.602	12:7	1.714
				77\104		888.462	311.538	7:4	1.750
					97\131	888.550	311.450	9:5	1.800
	20\27					888.889	311.111	2:1	2.000	Basic 4L 19s Scales with tunings softer than this are proper
					83\112	889.286	310.714	9:4	2.250
				63\85		889.412	310.588	7:3	2.333
					106\143	889.510	310.490	12:5	2.400
			43\58			889.655	310.345	5:2	2.500	Semihard 4L 19s
					109\147	889.796	310.204	13:5	2.600
				66\89		889.888	310.112	8:3	2.667
					89\120	890.000	310.000	11:4	2.750
		23\31				890.323	309.677	3:1	3.000	Hard 4L 19s
					72\97	890.722	309.278	10:3	3.333
				49\66		890.909	309.091	7:2	3.500
					75\101	891.089	308.911	11:3	3.667
			26\35			891.429	308.571	4:1	4.000	Superhard 4L 19s
					55\74	891.892	308.108	9:2	4.500
				29\39		892.308	307.692	5:1	5.000
					32\43	893.023	306.977	6:1	6.000
3\4						900.000	300.000	1:0	→ ∞	Collapsed 4L 19s