8L 5s

↖7L 4s	↑8L 4s	9L 4s↗
←7L 5s	8L 5s	9L 5s→
↙7L 6s	↓8L 6s	9L 6s↘

Brightest mode	LLsLLsLsLLsLs
Period	2/1
Range for bright generator	8\13 (738.5¢) to 5\8 (750¢)
Range for dark generator	3\8 (450¢) to 5\13 (461.5¢)
Parent MOS	5L 3s
Sister MOS	5L 8s
Daughter MOSes	13L 8s, 8L 13s
Equal tunings
Supersoft (L:s = 4:3)	29\47 (740.4¢)
Soft (L:s = 3:2)	21\34 (741.2¢)
Semisoft (L:s = 5:3)	34\55 (741.8¢)
Basic (L:s = 2:1)	13\21 (742.9¢)
Semihard (L:s = 5:2)	31\50 (744¢)
Hard (L:s = 3:1)	18\29 (744.8¢)
Superhard (L:s = 4:1)	23\37 (745.9¢)

8L 5s is a scale pattern that expands on oneirotonic (5L 3s). This MOS is the chromatic scale of Semidim, Tridec, Ammonite and Petrtri temperaments. It represents tempered chains of the 13:10 or 17:13 semisixth, thus rendering 10:13:17 as an equidistant triad and tempering out 170:169. Also, the ratio between the generator of this MOS and its inverse is close to logarithmic phi, or even logarithmic phi itself.

		cents	2g
3/8		450	900
17/45		453.333	906.667
	31/82	453.512	907.024
14/37		454.054	908.108
	25/66	454.5455	909.091
		454.978	909.956
11/29		455.172	910.345
		455.608	911.825
	30/79	455.696	911.392
		455.782	911.563
	19/50	456	912
	27/71	456.338	912.676
	35/92	456.522	913.043
8/21		457.143	914.286
	29/76	457.684	915.368
		457.955	915.91
	21/55	458.182	916.364
		458.359	916.718
	34/89	458.427	916.854
		458.539	917.078
13/34		458.8235	917.647
	31/81	459.259	918.5185
18/47		459.5745	919.149
23/60		460	920
5/13		461.5385	923.077