4L 1s

4L 1s

	Pattern	LLLLs
	Period	2/1
	Generator range	1\5 (240.0¢) to 1\4 (300.0¢)
	Parent MOS	1L 3s
	Daughter MOSes	5L 4s, 4L 5s
	Sister MOS	1L 4s
	TAMNAMS name	manic
	Equal tunings
	Supersoft (L:s = 4:3)	4\19 (252.6¢)
	Soft (L:s = 3:2)	3\14 (257.1¢)
	Semisoft (L:s = 5:3)	5\23 (260.9¢)
	Basic (L:s = 2:1)	2\9 (266.7¢)
	Semihard (L:s = 5:2)	5\22 (272.7¢)
	Hard (L:s = 3:1)	3\13 (276.9¢)
	Superhard (L:s = 4:1)	4\17 (282.4¢)

The scale with the lowest harmonic entropy for this MOS pattern is semaphore, in which two generators make a 4/3. The other interesting scale is orwell, in which the generator is approximately 7/6 and three of them make an 8/5.

All scales of this form are necessarily proper (because there is only one small step).

Names

The TAMNAMS system suggests the name manic, a name that is thematically inspired by Latin words "manus" (meaning "hand") and "mania" (the obvious source of the English word "mania").

Modes

• 4|0 LLLLs
• 3|1 LLLsL
• 2|2 LLsLL
• 1|3 LsLLL
• 0|4 sLLLL

Scale Tree

Generator ranges:

• Chroma-positive generator: 240 cents (1\5) to 300 cents (1\4)
• Chroma-negative generator: 900 cents (3\4) to 960 cents (4\5)

Generator						Cents	s	L-s	Comments
1\5						240	240	0
					6\29	248.28	206.9	41.38
				5\24		250	200	50	Semaphore is around here
			4\19			252.63	189.47	63.16
		3\14				257.14	171.43	85.71
						258.81	164.76	92.05
				8\37		259.46	162.16	97.3
						1200/(3+phi)	160.6	99.25	Golden bug / golden superpelog
			5\23			260.87	156.52	104.35
						262.16	151.36	110.8
	2\9					266.67	133.33	133.33	Optimum rank range (L/s=2/1) bug
				7\31		270.97	116.13	154.84
					12\53	271.70	113.21	158.49	Orwell is around here
			5\22			272.73	109.09	163.64
						274.73	101.07	173.66	L/s = e
		3\13				276.92	92.31	184.62	L/s = 3
						277.89	88.45	189.43	L/s = pi
			4\17			282.35	70.59	211.76	L/s = 4
				5\21		285.71	57.14	228.57
					6\25	288	48	240
1\4						300	0	300