5L 17s

↖ 4L 16s	↑ 5L 16s	6L 16s ↗
← 4L 17s	5L 17s	6L 17s →
↙ 4L 18s	↓ 5L 18s	6L 18s ↘

Scale structure
Step pattern	LsssLsssLssssLsssLssss ssssLsssLssssLsssLsssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	13\22 to 3\5 (709.1 ¢ to 720.0 ¢)
Dark	2\5 to 9\22 (480.0 ¢ to 490.9 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	4:1 to 1:0 (ultrahard)
Related MOS scales
Parent	5L 12s
Sister	17L 5s
Daughters	22L 5s, 5L 22s
Neutralized	10L 12s
2-Flought	27L 17s, 5L 39s
Equal tunings
Equalized (L:s = 1:1)	13\22 (709.1 ¢)
Supersoft (L:s = 4:3)	42\71 (709.9 ¢)
Soft (L:s = 3:2)	29\49 (710.2 ¢)
Semisoft (L:s = 5:3)	45\76 (710.5 ¢)
Basic (L:s = 2:1)	16\27 (711.1 ¢)
Semihard (L:s = 5:2)	35\59 (711.9 ¢)
Hard (L:s = 3:1)	19\32 (712.5 ¢)
Superhard (L:s = 4:1)	22\37 (713.5 ¢)
Collapsed (L:s = 1:0)	3\5 (720.0 ¢)
View • Talk • Edit

5L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 17 small steps, repeating every octave. 5L 17s is a great-grandchild scale of 5L 2s, expanding it by 15 tones. Generators that produce this scale range from 709.1 ¢ to 720 ¢, or from 480 ¢ to 490.9 ¢.

Modes

Modes of 5L 17s

UDP	Cyclic order	Step pattern
21|0	1	LsssLsssLssssLsssLssss
20|1	14	LsssLssssLsssLsssLssss
19|2	5	LsssLssssLsssLssssLsss
18|3	18	LssssLsssLsssLssssLsss
17|4	9	LssssLsssLssssLsssLsss
16|5	22	sLsssLsssLssssLsssLsss
15|6	13	sLsssLssssLsssLsssLsss
14|7	4	sLsssLssssLsssLssssLss
13|8	17	sLssssLsssLsssLssssLss
12|9	8	sLssssLsssLssssLsssLss
11|10	21	ssLsssLsssLssssLsssLss
10|11	12	ssLsssLssssLsssLsssLss
9|12	3	ssLsssLssssLsssLssssLs
8|13	16	ssLssssLsssLsssLssssLs
7|14	7	ssLssssLsssLssssLsssLs
6|15	20	sssLsssLsssLssssLsssLs
5|16	11	sssLsssLssssLsssLsssLs
4|17	2	sssLsssLssssLsssLssssL
3|18	15	sssLssssLsssLsssLssssL
2|19	6	sssLssssLsssLssssLsssL
1|20	19	ssssLsssLsssLssssLsssL
0|21	10	ssssLsssLssssLsssLsssL

Tuning spectrum

generator								L	s	L/s	gen (cents)	comment
2\5								1	0		480.000
							23\57	8	1	8.000	484.211
						21\52		7	1	7.000	484.615
							40\99	13	2	6.500	484.848
					19\47			6	1	6.000	485.106
							55\136	17	3	5.667	485.294
						36\89		11	2	5.500	485.393
							53\131	16	3	5.333	485.496
				17\42				5	1	5.000	485.714
						49\121		14	3	4.667	485.950
					32\79			9	2	4.500	486.076
						47\116		13	3	4.333	486.207
							62\153	17	4	4.250	486.275
			15\37					4	1	4.000	486.486
						58\143		15	4	3.750	486.713
					43\106			11	3	3.667	486.792
				28\69				7	2	3.500	486.957
					41\101			10	3	3.333	487.129
						54\133		13	4	3.250	487.218
		13\32						3	1	3.000	487.500
						63\155		14	5	2.800	487.742
					50\123			11	4	2.750	487.805
				37\91				8	3	2.667	487.912
					61\150			13	5	2.600	488.000
			24\59					5	2	2.500	488.136
					59\145			12	5	2.400	488.276
				35\86				7	3	2.333	488.372
					46\113			9	4	2.250	488.496
						57\140		11	5	2.200	488.571
	11\27							2	1	2.000	488.889
						64\157		11	6	1.833	489.172
					53\130			9	5	1.800	489.231
				42\103				7	4	1.750	489.320
			31\76					5	3	1.667	489.474
				51\125				8	5	1.600	489.600
		20\49						3	2	1.500	489.796
				49\120				7	5	1.400	490.000
			29\71					4	3	1.333	490.141
				38\93				5	4	1.250	490.323
					47\115			6	5	1.200	490.435
						56\137		7	6	1.167	490.511
							65\159	8	7	1.143	490.566
9\22								1	1	1.000	490.909