1L 4s

	↑ 1L 3s	2L 3s ↗
	1L 4s	2L 4s →
	↓ 1L 5s	2L 5s ↘

┌╥┬┬┬┬┐ │║│││││ │││││││ └┴┴┴┴┴┘
Scale structure
Step pattern	Lssss ssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	4\5 to 1\1 (960.0 ¢ to 1200.0 ¢)
Dark	0\1 to 1\5 (0.0 ¢ to 240.0 ¢)
Related MOS scales
Parent	1L 3s
Sister	4L 1s
Daughters	5L 1s, 1L 5s
Neutralized	2L 3s
2-Flought	6L 4s, 1L 9s
Equal tunings
Equalized (L:s = 1:1)	4\5 (960.0 ¢)
Supersoft (L:s = 4:3)	13\16 (975.0 ¢)
Soft (L:s = 3:2)	9\11 (981.8 ¢)
Semisoft (L:s = 5:3)	14\17 (988.2 ¢)
Basic (L:s = 2:1)	5\6 (1000.0 ¢)
Semihard (L:s = 5:2)	11\13 (1015.4 ¢)
Hard (L:s = 3:1)	6\7 (1028.6 ¢)
Superhard (L:s = 4:1)	7\8 (1050.0 ¢)
Collapsed (L:s = 1:0)	1\1 (1200.0 ¢)

1L 4s is the MOS pattern Lssss with small steps ranging from 0\1 (0¢) to 1\5 (one step of 5edo = 240¢).

The only notable low-harmonic-entropy scale for this MOS pattern is slendric or gamelismic, in which the generator is 8/7 and three of them make a 3/2. Other scales include very improper (incomplete) versions of porcupine, negri, etc.

Modes

• 4|0 Lssss
• 3|1 sLsss
• 2|2 ssLss
• 1|3 sssLs
• 0|4 ssssL

Scale Tree

Generator ranges:

• Chroma-positive generator: 960 cents (4\5) to 1200 cents (1\1)
• Chroma-negative generator: 0 cents (0\1) to 240 cents (1\5)

Small step (Chroma-negative generator)								Cents	L-s	|L-2s|	Comments
0\1
							1\12	100	700	600
						1\11		109.09	654.545	545.455
					1\10			120	600	480
						2\19		126.32	568.42	442.11	Negri is around here
				1\9				133.33	533.33	400
			1\8					150	450	300
				2\15				160	400	240
					3\22			163.64	381.82	218.18	Porcupine is around here
								1200/(4+pi)	359.85	191.82
		1\7						171.43	342.86	171.43
								1200/(4+e)	306.915	128.3
				3\20				180	300	120
								1200/(5+phi)	293.386	112.064
			2\13					184.615	276.92	92.31
	1\6							200	200	0	Boundary of propriety (small steps larger than this are strictly proper)
								1200/(4+sqrt(3))	153.25	56.095
			3\17					211.76	141.18	70.59
					8\45			213.33	133.33	80
								1200/(4+phi)	132.01	81.59	Golden machine
						13\73		213.70	131.51	82.19
				5\28				214.29	128.57	85.71
								1200/(8+pi)	122.955	92.45
		2\11						218.18	109.09	109.09	Optimum rank range of machine
			3\16					225	75	150	Gorgo is around here
				4\21				228.57	57.14	171.43
					5\26			230.77	46.15	184.62
						6\31		232.26	38.71	193.55
							7\36	233.33	33.33	200	Slendric is around here
1\5								240	0	240