6L 6s

This is the bi-equal chromatic scale of Hexe temperament. It has a generator of up to the familiar semitone of 12edo (100¢) and two closed circles of minor sevenths representing the 2.9 subgroup separated thereby.

↖ 5L 5s	↑ 6L 5s	7L 5s ↗
← 5L 6s	6L 6s	7L 6s →
↙ 5L 7s	↓ 6L 7s	7L 7s ↘

Scale structure
Step pattern	LsLsLsLsLsLs sLsLsLsLsLsL
Equave	2/1 (1200.0 ¢)
Period	1\6 (200.0 ¢)
Generator size
Bright	1\12 to 1\6 (100.0 ¢ to 200.0 ¢)
Dark	0\6 to 1\12 (0.0 ¢ to 100.0 ¢)
Related MOS scales
Parent	none
Sister	6L 6s (self)
Daughters	12L 6s, 6L 12s
Neutralized	12edo
2-Flought	18L 6s, 6L 18s
Equal tunings
Equalized (L:s = 1:1)	1\12 (100.0 ¢)
Supersoft (L:s = 4:3)	4\42 (114.3 ¢)
Soft (L:s = 3:2)	3\30 (120.0 ¢)
Semisoft (L:s = 5:3)	5\48 (125.0 ¢)
Basic (L:s = 2:1)	2\18 (133.3 ¢)
Semihard (L:s = 5:2)	5\42 (142.9 ¢)
Hard (L:s = 3:1)	3\24 (150.0 ¢)
Superhard (L:s = 4:1)	4\30 (160.0 ¢)
Collapsed (L:s = 1:0)	1\6 (200.0 ¢)
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Scale tree

Generator						Cents		L	s	L/s	Comments
						Chroma-positive	Chroma-negative
1\12						100.000	100.000	1	1	1.000
					6\66	109.091	90.909	6	5	1.200	Semimist↑
				5\54		111.111	88.889	5	4	1.250	Hexe is optimal around here
					9\96	112.500	87.500	9	7	1.286
			4\42			114.286	85.714	4	3	1.333
					11\114	115.789	84.211	11	8	1.375
				7\72		116.667	83.333	7	5	1.400
					10\102	117.647	98.824	10	7	1.428
		3\30				120.000	80.000	3	2	1.500	L/s = 3/2
					11\108	122.222	77.778	11	7	1.571
				8\78		123.077	76.923	8	5	1.600
					13\126	123.810	76.190	13	8	1.625	Unnamed golden tuning
			5\48			125.000	75.000	5	3	1.667
					12\114	126.316	73.684	12	7	1.714
				7\66		127.273	72.727	7	4	1.750
					9\84	128.571	71.429	9	5	1.800
	2\18					133.333	66.667	2	1	2.000	Basic 6L 6s
					9\78	138.462	61.538	9	4	2.250
				7\60		140.000	60.000	7	3	2.333
					12\102	141.176	58.824	12	5	2.400
			5\42			142.857	57.143	5	2	2.500
					13\108	144.444	55.556	13	5	2.600	Unnamed golden tuning
				8\66		145.455	54.545	8	3	2.667
					11\90	146.667	53.333	11	4	2.750
		3\24				150.000	50.000	3	1	3.000	L/s = 3/1
					10\78	153.846	46.154	10	3	3.333
				7\54		155.556	44.444	7	2	3.500
					11\84	157.143	42.857	11	3	3.667
			4\30			160.000	40.000	4	1	4.000
					9\66	163.636	36.364	9	2	4.500
				5\36		166.667	33.333	5	1	5.000
					6\42	171.429	28.571	6	1	6.000
1\6						200.000	0.000	1	0	→ inf