12L 5s

This MOS separates its small steps by intervals of 3L-2L-2L-3L-2L. Its major third of -4 generators approximates an interval between 24/19 and 32/25, thus its generator is a perfect fourth between 7/17edo (494.412) and 5/12edo (500 cents).

Scale tree

Generator						Cents	L	s	L/s	Comments
7\17						494.412	1	1	1.000
					40\97	494.845	6	5	1.200
				33\80		495.000	5	4	1.250
					59\143	495.105	9	7	1.286
			26\63			495.238	4	3	1.333	Leapfrog
					71\172	495.349	11	8	1.375
				45\109		495.413	7	5	1.400	Leapweek
					64\155	495.484	10	7	1.428
		19\46				495.652	3	2	1.500	L/s = 3/2
					69\167	495.808	11	7	1.571	Leapday
				50\121		495.868	8	5	1.600
					81\196	495.918	13	8	1.625	Golden neogothic
			31\75			496.000	5	3	1.667
					74\179	496.089	12	7	1.714
				43\104		496.154	7	4	1.750
					55\133	496.241	9	5	1.800
	12\29					496.552	2	1	2.000	Basic 12L 5s (Generators smaller than this are proper)
					53\128	496.875	9	4	2.250
				41\99		496.970	7	3	2.333	Undecental
					70\169	497.041	12	5	2.400	Argent tuning
			29\70			497.143	5	2	2.500
					75\181	497.238	13	5	2.600	Unnamed golden tuning
				46\111		497.297	8	3	2.667
					63\152	497.368	11	4	2.750	Kwai
		17\41				497.561	3	1	3.000	L/s = 3/1, garibaldi/andromeda
					56\135	497.778	10	3	3.333
				39\94		497.872	7	2	3.500	Garibaldi/cassandra
					61\147	497.959	11	3	3.667
			22\53			498.113	4	1	4.000	Garibaldi/helenus
					49\118	498.305	9	2	4.500	Pontiac
				27\65		498.462	5	1	5.000	Photia
					32\77	498.701	6	1	6.000	Grackle↓
5\12						500.000	1	0	→ inf