13L 5s

↖12L 4s	↑13L 4s	14L 4s↗
←12L 5s	13L 5s	14L 5s→
↙12L 6s	↓13L 6s	14L 6s↘

Brightest mode	LLLsLLLsLLsLLLsLLs
Period	2/1
Range for bright generator	11\18 (733.3¢) to 8\13 (738.5¢)
Range for dark generator	5\13 (461.5¢) to 7\18 (466.7¢)
Parent MOS	5L 8s
Sister MOS	5L 13s
Daughter MOSes	18L 13s, 13L 18s
Equal tunings
Supersoft (L:s = 4:3)	41\67 (734.3¢)
Soft (L:s = 3:2)	30\49 (734.7¢)
Semisoft (L:s = 5:3)	49\80 (735¢)
Basic (L:s = 2:1)	19\31 (735.5¢)
Semihard (L:s = 5:2)	46\75 (736¢)
Hard (L:s = 3:1)	27\44 (736.4¢)
Superhard (L:s = 4:1)	35\57 (736.8¢)

13L 5s is an octave-equivalent moment of symmetry scale containing 13 large steps and 5 small steps, repeating every octave. Modes of this scale are rotations of the step pattern LLLsLLLsLLsLLLsLLs. Generators that produce this scale range from 733.333¢ to 738.462¢, or from 461.538¢ to 466.667¢.

Table

generator								L	s	L/s	gen (cents)	comment
5\13								1	0		461.538
							42\109	8	1	8.000	462.385
						37\96		7	1	7.000	462.500
					32\83			6	1	6.000	462.651
				27\70				5	1	5.000	462.857
					49\127			9	2	4.500	462.992
			22\57					4	1	4.000	463.158
				39\101				7	2	3.500	463.366
					56\145			10	3	3.333	463.448
		17\44						3	1	3.000	463.636
				46\119				8	3	2.667	463.866
			29\75					5	2	2.500	464.000
				41\106				7	3	2.333	464.151
					53\137			9	4	2.250	464.234
	12\31							2	1	2.000	464.516
					55\142			9	5	1.800	464.789
				43\111				7	4	1.750	464.865
			31\80					5	3	1.667	465.000
				50\129				8	5	1.600	465.116
		19\49						3	2	1.500	465.306
				45\116				7	5	1.400	465.517
			26\67					4	3	1.333	465.672
				33\85				5	4	1.250	465.882
					40\103			6	5	1.200	466.019
						47\121		7	6	1.167	466.116
							54\139	8	7	1.143	466.187
7\18								1	1	1.000	466.667