19L 8s

↖18L 7s	↑19L 7s	20L 7s↗
←18L 8s	19L 8s	20L 8s→
↙18L 9s	↓19L 9s	20L 9s↘

┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬┐ │║║║│║║│║║║│║║│║║│║║║│║║│║║││ │││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLsLLLsLLsLLsLLLsLLsLLs sLLsLLsLLLsLLsLLsLLLsLLsLLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	17\27 to 12\19 (755.6¢ to 757.9¢)
Dark	7\19 to 10\27 (442.1¢ to 444.4¢)
TAMNAMS information
Descends from	3L 5s (checkertonic)
Required step ratio range	4:3 to 3:2 (parasoft)
Related MOS scales
Parent	8L 11s
Sister	8L 19s
Daughters	27L 19s 19L 27s
Equal tunings
Equalized (L:s = 1:1)	17\27 (755.6¢)
Supersoft (L:s = 4:3)	63\100 (756.0¢)
Soft (L:s = 3:2)	46\73 (756.2¢)
Semisoft (L:s = 5:3)	75\119 (756.3¢)
Basic (L:s = 2:1)	29\46 (756.5¢)
Semihard (L:s = 5:2)	70\111 (756.8¢)
Hard (L:s = 3:1)	41\65 (756.9¢)
Superhard (L:s = 4:1)	53\84 (757.1¢)
Collapsed (L:s = 1:0)	12\19 (757.9¢)

19L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 8 small steps, repeating every octave. 19L 8s is a great-grandchild scale of 3L 5s, expanding it by 19 tones. Generators that produce this scale range from 755.6¢ to 757.9¢, or from 442.1¢ to 444.4¢.

Modes

Modes of 19L 8s

UDP	Rotational order	Step pattern
26|0	1	LLLsLLsLLLsLLsLLsLLLsLLsLLs
25|1	18	LLLsLLsLLsLLLsLLsLLLsLLsLLs
24|2	8	LLLsLLsLLsLLLsLLsLLsLLLsLLs
23|3	25	LLsLLLsLLsLLLsLLsLLsLLLsLLs
22|4	15	LLsLLLsLLsLLsLLLsLLsLLLsLLs
21|5	5	LLsLLLsLLsLLsLLLsLLsLLsLLLs
20|6	22	LLsLLsLLLsLLsLLLsLLsLLsLLLs
19|7	12	LLsLLsLLLsLLsLLsLLLsLLsLLLs
18|8	2	LLsLLsLLLsLLsLLsLLLsLLsLLsL
17|9	19	LLsLLsLLsLLLsLLsLLLsLLsLLsL
16|10	9	LLsLLsLLsLLLsLLsLLsLLLsLLsL
15|11	26	LsLLLsLLsLLLsLLsLLsLLLsLLsL
14|12	16	LsLLLsLLsLLsLLLsLLsLLLsLLsL
13|13	6	LsLLLsLLsLLsLLLsLLsLLsLLLsL
12|14	23	LsLLsLLLsLLsLLLsLLsLLsLLLsL
11|15	13	LsLLsLLLsLLsLLsLLLsLLsLLLsL
10|16	3	LsLLsLLLsLLsLLsLLLsLLsLLsLL
9|17	20	LsLLsLLsLLLsLLsLLLsLLsLLsLL
8|18	10	LsLLsLLsLLLsLLsLLsLLLsLLsLL
7|19	27	sLLLsLLsLLLsLLsLLsLLLsLLsLL
6|20	17	sLLLsLLsLLsLLLsLLsLLLsLLsLL
5|21	7	sLLLsLLsLLsLLLsLLsLLsLLLsLL
4|22	24	sLLsLLLsLLsLLLsLLsLLsLLLsLL
3|23	14	sLLsLLLsLLsLLsLLLsLLsLLLsLL
2|24	4	sLLsLLLsLLsLLsLLLsLLsLLsLLL
1|25	21	sLLsLLsLLLsLLsLLLsLLsLLsLLL
0|26	11	sLLsLLsLLLsLLsLLsLLLsLLsLLL

Scale tree

Scale tree and tuning spectrum of 19L 8s

Generator (edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
17\27						755.556	444.444	1:1	1.000	Equalized 19L 8s
					97\154	755.844	444.156	6:5	1.200
				80\127		755.906	444.094	5:4	1.250
					143\227	755.947	444.053	9:7	1.286
			63\100			756.000	444.000	4:3	1.333	Supersoft 19L 8s
					172\273	756.044	443.956	11:8	1.375
				109\173		756.069	443.931	7:5	1.400
					155\246	756.098	443.902	10:7	1.429
		46\73				756.164	443.836	3:2	1.500	Soft 19L 8s
					167\265	756.226	443.774	11:7	1.571
				121\192		756.250	443.750	8:5	1.600
					196\311	756.270	443.730	13:8	1.625
			75\119			756.303	443.697	5:3	1.667	Semisoft 19L 8s
					179\284	756.338	443.662	12:7	1.714
				104\165		756.364	443.636	7:4	1.750
					133\211	756.398	443.602	9:5	1.800
	29\46					756.522	443.478	2:1	2.000	Basic 19L 8s Scales with tunings softer than this are proper
					128\203	756.650	443.350	9:4	2.250
				99\157		756.688	443.312	7:3	2.333
					169\268	756.716	443.284	12:5	2.400
			70\111			756.757	443.243	5:2	2.500	Semihard 19L 8s
					181\287	756.794	443.206	13:5	2.600
				111\176		756.818	443.182	8:3	2.667
					152\241	756.846	443.154	11:4	2.750
		41\65				756.923	443.077	3:1	3.000	Hard 19L 8s
					135\214	757.009	442.991	10:3	3.333
				94\149		757.047	442.953	7:2	3.500
					147\233	757.082	442.918	11:3	3.667
			53\84			757.143	442.857	4:1	4.000	Superhard 19L 8s
					118\187	757.219	442.781	9:2	4.500
				65\103		757.282	442.718	5:1	5.000
					77\122	757.377	442.623	6:1	6.000
12\19						757.895	442.105	1:0	→ ∞	Collapsed 19L 8s

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