13L 2s

↖ 12L 1s	↑ 13L 1s	14L 1s ↗
← 12L 2s	13L 2s	14L 2s →
↙ 12L 3s	↓ 13L 3s	14L 3s ↘

Scale structure
Step pattern	LLLLLLLsLLLLLLs sLLLLLLsLLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	8\15 to 7\13 (640.0 ¢ to 646.2 ¢)
Dark	6\13 to 7\15 (553.8 ¢ to 560.0 ¢)
TAMNAMS information
Related to	2L 7s (balzano)
With tunings	3:1 to 4:1 (parahard)
Related MOS scales
Parent	2L 11s
Sister	2L 13s
Daughters	15L 13s, 13L 15s
Neutralized	11L 4s
2-Flought	28L 2s, 13L 17s
Equal tunings
Equalized (L:s = 1:1)	8\15 (640.0 ¢)
Supersoft (L:s = 4:3)	31\58 (641.4 ¢)
Soft (L:s = 3:2)	23\43 (641.9 ¢)
Semisoft (L:s = 5:3)	38\71 (642.3 ¢)
Basic (L:s = 2:1)	15\28 (642.9 ¢)
Semihard (L:s = 5:2)	37\69 (643.5 ¢)
Hard (L:s = 3:1)	22\41 (643.9 ¢)
Superhard (L:s = 4:1)	29\54 (644.4 ¢)
Collapsed (L:s = 1:0)	7\13 (646.2 ¢)
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13L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 2 small steps, repeating every octave. 13L 2s is a great-grandchild scale of 2L 7s, expanding it by 6 tones. Generators that produce this scale range from 640 ¢ to 646.2 ¢, or from 553.8 ¢ to 560 ¢. This is an MOS generated by a superfourth (553.846¢ to 560¢). This generator has almost no sensible interpretation except to be taken as 11/8, meaning the MOS is an 11+-limit scale.

6/13					553.846
				31/67	555.224
			25/54		555.556
				44/95	555.7895
					556.001
		19/41			556.098
					556.318
				51/110	556.364
					556.408
			32/69		556.522
				45/97	556.701
	13/28				557.143
				46/99	557.576
					557.611
			33/71		557.747
					557.8535
				53/114	557.895
					557.963
		20/43			558.1395
				47/101	558.416
			27/58		558.621
				34/73	558.904
7/15					560