13L 6s

13L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 6 small steps, repeating every octave. 13L 6s is a grandchild scale of 6L 1s, expanding it by 12 tones. Generators that produce this scale range from 1010.5 ¢ to 1015.4 ¢, or from 184.6 ¢ to 189.5 ¢.

↖ 12L 5s	↑ 13L 5s	14L 5s ↗
← 12L 6s	13L 6s	14L 6s →
↙ 12L 7s	↓ 13L 7s	14L 7s ↘

Scale structure
Step pattern	LLLsLLsLLsLLsLLsLLs sLLsLLsLLsLLsLLsLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	16\19 to 11\13 (1010.5 ¢ to 1015.4 ¢)
Dark	2\13 to 3\19 (184.6 ¢ to 189.5 ¢)
TAMNAMS information
Related to	6L 1s (archaeotonic)
With tunings	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	6L 7s
Sister	6L 13s
Daughters	19L 13s, 13L 19s
Neutralized	7L 12s
2-Flought	32L 6s, 13L 25s
Equal tunings
Equalized (L:s = 1:1)	16\19 (1010.5 ¢)
Supersoft (L:s = 4:3)	59\70 (1011.4 ¢)
Soft (L:s = 3:2)	43\51 (1011.8 ¢)
Semisoft (L:s = 5:3)	70\83 (1012.0 ¢)
Basic (L:s = 2:1)	27\32 (1012.5 ¢)
Semihard (L:s = 5:2)	65\77 (1013.0 ¢)
Hard (L:s = 3:1)	38\45 (1013.3 ¢)
Superhard (L:s = 4:1)	49\58 (1013.8 ¢)
Collapsed (L:s = 1:0)	11\13 (1015.4 ¢)
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Modes

Modes of 13L 6s

UDP	Cyclic order	Step pattern
18|0	1	LLLsLLsLLsLLsLLsLLs
17|1	17	LLsLLLsLLsLLsLLsLLs
16|2	14	LLsLLsLLLsLLsLLsLLs
15|3	11	LLsLLsLLsLLLsLLsLLs
14|4	8	LLsLLsLLsLLsLLLsLLs
13|5	5	LLsLLsLLsLLsLLsLLLs
12|6	2	LLsLLsLLsLLsLLsLLsL
11|7	18	LsLLLsLLsLLsLLsLLsL
10|8	15	LsLLsLLLsLLsLLsLLsL
9|9	12	LsLLsLLsLLLsLLsLLsL
8|10	9	LsLLsLLsLLsLLLsLLsL
7|11	6	LsLLsLLsLLsLLsLLLsL
6|12	3	LsLLsLLsLLsLLsLLsLL
5|13	19	sLLLsLLsLLsLLsLLsLL
4|14	16	sLLsLLLsLLsLLsLLsLL
3|15	13	sLLsLLsLLLsLLsLLsLL
2|16	10	sLLsLLsLLsLLLsLLsLL
1|17	7	sLLsLLsLLsLLsLLLsLL
0|18	4	sLLsLLsLLsLLsLLsLLL

Tuning spectrum

generator								L	s	L/s	gen (cents)	comment
2\13								1	0		184.615
							17\110	8	1	8.000	185.455
						15\97		7	1	7.000	185.567
					13\84			6	1	6.000	185.714
						24\155		11	2	5.500	185.806
				11\71				5	1	5.000	185.915
					20\129			9	2	4.500	186.047
			9\58					4	1	4.000	186.207
					25\161			11	3	3.667	186.335
				16\103				7	2	3.500	186.408
					23\148			10	3	3.333	186.486
		7\45						3	1	3.000	186.667
					26\167			11	4	2.750	186.826
				19\122				8	3	2.667	186.885
			12\77					5	2	2.500	187.013
				17\109				7	3	2.333	187.156
					22\141			9	4	2.250	187.234
	5\32							2	1	2.000	187.500
					23\147			9	5	1.800	187.755
				18\115				7	4	1.750	187.826
			13\83					5	3	1.667	187.952
				21\134				8	5	1.600	188.060
		8\51						3	2	1.500	188.235
				19\121				7	5	1.400	188.430
			11\70					4	3	1.333	188.571
					25\159			9	7	1.286	188.679
				14\89				5	4	1.250	188.764
					17\108			6	5	1.200	188.889
						20\127		7	6	1.167	188.976
							23\146	8	7	1.143	189.041
3\19								1	1	1.000	189.474