8L 5s

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

┌╥╥┬╥╥┬╥┬╥╥┬╥┬┐ │║║│║║│║│║║│║││ │││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLLsLsLLsLs sLsLLsLsLLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	8\13 to 5\8 (738.5 ¢ to 750.0 ¢)
Dark	3\8 to 5\13 (450.0 ¢ to 461.5 ¢)
TAMNAMS information
Related to	5L 3s (oneirotonic)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	5L 3s
Sister	5L 8s
Daughters	13L 8s, 8L 13s
Neutralized	3L 10s
2-Flought	21L 5s, 8L 18s
Equal tunings
Equalized (L:s = 1:1)	8\13 (738.5 ¢)
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 (744.0 ¢)
Hard (L:s = 3:1)	18\29 (744.8 ¢)
Superhard (L:s = 4:1)	23\37 (745.9 ¢)
Collapsed (L:s = 1:0)	5\8 (750.0 ¢)

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