7L 1s

There are two notable harmonic entropy minima with this MOS pattern. The first is porcupine, in which two generators make a 6/5 and three make a 4/3. The range of porcupine tunings is about 2\15 to 3\22. Less well-known is greeley, in which two generators are still 6/5 but three fall quite short of a 4/3, but the scale happens to closely approximate a lot of higher-complexity intervals like 10/7, 11/7, etc.

Scales of this form are always proper, because there is only one small step.

Generator						Cents	Scale in EDO steps	Comments
1\7						171.43	1 1 1 1 1 1 1 0
					6\43	167.44	6 6 6 6 6 6 6 1
				5\36		166.67	5 5 5 5 5 5 5 1
			4\29			165.52	4 4 4 4 4 4 4 1	L/s = 4
						163.97	pi pi pi pi pi pi pi 1	L/s = pi
		3\22				163.64	3 3 3 3 3 3 3 1	L/s = 3
						162.87	e e e e e e e e 1	L/s = e
				8\59		162,71	8 8 8 8 8 8 8 3
					13\96	162.5	13 13 13 13 13 13 13 5
			5\37			162.16	5 5 5 5 5 5 5 2	Porcupine is in this general region
				7\52		161.54	7 7 7 7 7 7 7 3
	2\15					160	2 2 2 2 2 2 2 1	Optimum rank range (L/s=2/1) porcupine
						158.37	√3 √3 √3 √3 √3 √3 √3 1
			5\38			157.89	5 5 5 5 5 5 5 3
					13\99	157.58	13 13 13 13 13 13 13 8	Golden porcupine / golden hemikleismic
				8\61		157.38	8 8 8 8 8 8 8 5
					(11\84)	157.14	11 11 11 11 11 11 11 7 pi pi pi pi pi pi pi 2
		3\23				156.52	3 3 3 3 3 3 3 2
					10\77	155.84	10 10 10 10 10 10 10 7	Greeley is around here
				7\54		155.56	7 7 7 7 7 7 7 5
			4\31			154.84	4 4 4 4 4 4 4 3
				5\39		153.85	5 5 5 5 5 5 5 4
					6\47	153.19	6 6 6 6 6 6 6 5
1\8						150	1 1 1 1 1 1 1 1