13L 1s

← 12L 1s	13L 1s	14L 1s →
↙ 12L 2s	↓ 13L 2s	14L 2s ↘

Scale structure
Step pattern	LLLLLLLLLLLLLs sLLLLLLLLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	1\14 to 1\13 (85.7 ¢ to 92.3 ¢)
Dark	12\13 to 13\14 (1107.7 ¢ to 1114.3 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	4:1 to 5:1
Related MOS scales
Parent	1L 12s
Sister	1L 13s
Daughters	14L 13s, 13L 14s
Neutralized	12L 2s
2-Flought	27L 1s, 13L 15s
Equal tunings
Equalized (L:s = 1:1)	1\14 (85.7 ¢)
Supersoft (L:s = 4:3)	4\55 (87.3 ¢)
Soft (L:s = 3:2)	3\41 (87.8 ¢)
Semisoft (L:s = 5:3)	5\68 (88.2 ¢)
Basic (L:s = 2:1)	2\27 (88.9 ¢)
Semihard (L:s = 5:2)	5\67 (89.6 ¢)
Hard (L:s = 3:1)	3\40 (90.0 ¢)
Superhard (L:s = 4:1)	4\53 (90.6 ¢)
Collapsed (L:s = 1:0)	1\13 (92.3 ¢)
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13L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 1 small step, repeating every octave. 13L 1s is related to 1L 9s, expanding it by 4 tones. Generators that produce this scale range from 85.7 ¢ to 92.3 ¢, or from 1107.7 ¢ to 1114.3 ¢. Scales of this form are always proper because there is only one small step. This scale is notable for corresponding to octacot[14].

Scale tree

generator								L	s	L/s	gen (cents)	comment
1\13								1	0		92.308
							8\105	8	1	8.000	91.429
						7\92		7	1	7.000	91.304
					6\79			6	1	6.000	91.139
				5\66				5	1	5.000	90.909
			4\53					4	1	4.000	90.566
				7\93				7	2	3.500	90.323
		3\40						3	1	3.000	90.000
			5\67					5	2	2.500	89.552
				7\94				7	3	2.333	89.362
	2\27							2	1	2.000	88.889
				7\95				7	4	1.750	88.421
			5\68					5	3	1.667	88.235
		3\41						3	2	1.500	87.805	Octacot is around here
				7\96				7	5	1.400	87.500
			4\55					4	3	1.333	87.273
				5\69				5	4	1.250	86.957
					6\83			6	5	1.200	86.747
						7\97		7	6	1.167	86.598
							8\111	8	7	1.143	86.4865
1\14								1	1	1.000	85.714