3L 2s

The only notable low-harmonic-entropy scale for this MOS pattern is sensi, in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone. It's also improper.

Names

The TAMNAMS system suggests the name antipentic, in opposition to pentic used for 2L 3s.

Scale tree

Generator							Cents	s	L-s	Comments
1\3							400	0	400
						8\23	417.39	52.18	365.21	8ed(14/11) is near here
					7\20		420	60	300
				6\17			423.53	70.59	282.35	Skwares is around here
						17\48	425	75	275	Squares is around here
					11\31		425.81	77.42	270.97
			5\14				428.57	85.71	257.14	L/s = 4
							435.01	105.035	224.91	L/s = pi, essentially perfect 9/7
		4\11					436.36	109.09	218.18	L/s = 3
							439.39	118.17	203.05	L/s = e
				11/30			440	120	200
							440.59	121.78	197.04
			7/19				442.11	126.32	189.47	Sensi is around here
	3\8						450	150	150	Boundary of propriety (larger generators than this are proper)
							455.59	166.76	122.07
			8\21				457.14	171.43	114.29
					21\55		458.18	174.55	109.09
							1200/(1+phi)	175.08	108.20	Golden petrtri
				13\34			458.82	176.47	105.88
							459.59	178.77	102.04
		5\13					461.54	184.62	92.31	Optimum rank range (L/s=3/2) oneirotonic[5]
			7\18				466.67	200	66.67
				9\23			469.57	208.70	52.17
					11\28		471.43	214.29	42.86
						13\33	472.73	218.18	36.36	Slendro-like scales in this region
2\5							480	240	0