6L 3s

6L 3s is a MOS pattern with period 1\3.

↖ 5L 2s	↑ 6L 2s	7L 2s ↗
← 5L 3s	6L 3s	7L 3s →
↙ 5L 4s	↓ 6L 4s	7L 4s ↘

Scale structure
Step pattern	LLsLLsLLs sLLsLLsLL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
Generator size
Bright	1\9 to 1\6 (133.3 ¢ to 200.0 ¢)
Dark	1\6 to 2\9 (200.0 ¢ to 266.7 ¢)
TAMNAMS information
Name	hyrulic
Prefix	hyru-
Abbrev.	hy
Related MOS scales
Parent	3L 3s
Sister	3L 6s
Daughters	9L 6s, 6L 9s
Neutralized	3L 6s
2-Flought	15L 3s, 6L 12s
Equal tunings
Equalized (L:s = 1:1)	1\9 (133.3 ¢)
Supersoft (L:s = 4:3)	4\33 (145.5 ¢)
Soft (L:s = 3:2)	3\24 (150.0 ¢)
Semisoft (L:s = 5:3)	5\39 (153.8 ¢)
Basic (L:s = 2:1)	2\15 (160.0 ¢)
Semihard (L:s = 5:2)	5\36 (166.7 ¢)
Hard (L:s = 3:1)	3\21 (171.4 ¢)
Superhard (L:s = 4:1)	4\27 (177.8 ¢)
Collapsed (L:s = 1:0)	1\6 (200.0 ¢)
View • Talk • Edit

The tiny region between 26\171 and 281\1848 is the terrain region, giving the abitonic scale for the remarkable terrain temperament chromatic pair. If you feel that is too small a region to allocate or prefer EDOs of a more usual size, you can call it the region between 5/33 and 6/39, but that misses the extreme accuracy of this temperament.

For a more down-to-earth temperament, try triforce.

Modes

• 6|0 LLsLLsLLs
• 3|3 LsLLsLLsL
• 0|6 sLLsLLsLL

Scales

• Triphi – L:s = φ tuning
• Terrain9 – 3558edo tuning

Scale tree

Generator ranges:

• Chroma-positive generator: 133.3333 cents (1\9) to 200 cents (1\6)
• Chroma-negative generator: 200 cents (1\6) to 266.6667 cents (2\9)

Generator						Cents	L	s	L/s	Comments
1\9						133.333	1	1	1.000
					6\51	141.176	6	5	1.200
				5\42		142.857	5	4	1.250
					9\75	144.000	9	7	1.286
			4\33			145.455	4	3	1.333
					11\90	146.667	11	8	1.375
				7\57		147.368	7	5	1.400
					10\81	148.148	10	7	1.429
		3\24				150.000	3	2	1.500
					11\87	151.724	11	7	1.571	Hemimist
				8\63		152.381	8	5	1.600
					13\102	152.911	13	8	1.625	Golden triforce (152.7864¢)
			5\39			153.846	5	3	1.667
					12\93	154.839	12	7	1.714
				7\54		155.556	7	4	1.750
					9\69	156.522	9	5	1.800
	2\15					160.000	2	1	2.000	Basic hyrulic
					9\66	163.636	9	4	2.250
				7\51		164.706	7	3	2.333
					12\87	165.517	12	5	2.400
			5\36			166.667	5	2	2.500
					13\93	167.742	13	5	2.600	Unnamed golden tuning (167.9285¢)
				8\57		168.421	8	3	2.667
					11\78	169.231	11	4	2.750
		3\21				171.439	3	1	3.000
					10\69	173.913	10	3	3.333
				7\48		175.000	7	2	3.500
					11\75	176.000	11	3	3.667	Oodako
			4\27			177.778	4	1	4.000
					9\60	180.000	9	2	4.500
				5\33		181.818	5	1	5.000
					6\39	184.615	6	1	6.000	Mirkat
1\6						200.000	1	0	→ inf