17L 14s

↖ 16L 13s	↑ 17L 13s	18L 13s ↗
← 16L 14s	17L 14s	18L 14s →
↙ 16L 15s	↓ 17L 15s	18L 15s ↘

Scale structure
Step pattern	LLsLsLsLsLLsLsLsLsLsLLsLsLsLsLs sLsLsLsLsLLsLsLsLsLsLLsLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	20\31 to 11\17 (774.2 ¢ to 776.5 ¢)
Dark	6\17 to 11\31 (423.5 ¢ to 425.8 ¢)
TAMNAMS information
Related to	3L 5s (checkertonic)
With tunings	7:2 to 4:1
Related MOS scales
Parent	14L 3s
Sister	14L 17s
Daughters	31L 17s, 17L 31s
Neutralized	3L 28s
2-Flought	48L 14s, 17L 45s
Equal tunings
Equalized (L:s = 1:1)	20\31 (774.2 ¢)
Supersoft (L:s = 4:3)	71\110 (774.5 ¢)
Soft (L:s = 3:2)	51\79 (774.7 ¢)
Semisoft (L:s = 5:3)	82\127 (774.8 ¢)
Basic (L:s = 2:1)	31\48 (775.0 ¢)
Semihard (L:s = 5:2)	73\113 (775.2 ¢)
Hard (L:s = 3:1)	42\65 (775.4 ¢)
Superhard (L:s = 4:1)	53\82 (775.6 ¢)
Collapsed (L:s = 1:0)	11\17 (776.5 ¢)
View • Talk • Edit

17L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 14 small steps, repeating every octave. 17L 14s is related to 3L 5s, expanding it by 23 tones. Generators that produce this scale range from 774.2 ¢ to 776.5 ¢, or from 423.5 ¢ to 425.8 ¢.

Modes

Modes of 17L 14s

UDP	Cyclic order	Step pattern
30|0	1	LLsLsLsLsLLsLsLsLsLsLLsLsLsLsLs
29|1	21	LLsLsLsLsLsLLsLsLsLsLLsLsLsLsLs
28|2	10	LLsLsLsLsLsLLsLsLsLsLsLLsLsLsLs
27|3	30	LsLLsLsLsLsLLsLsLsLsLsLLsLsLsLs
26|4	19	LsLLsLsLsLsLsLLsLsLsLsLLsLsLsLs
25|5	8	LsLLsLsLsLsLsLLsLsLsLsLsLLsLsLs
24|6	28	LsLsLLsLsLsLsLLsLsLsLsLsLLsLsLs
23|7	17	LsLsLLsLsLsLsLsLLsLsLsLsLLsLsLs
22|8	6	LsLsLLsLsLsLsLsLLsLsLsLsLsLLsLs
21|9	26	LsLsLsLLsLsLsLsLLsLsLsLsLsLLsLs
20|10	15	LsLsLsLLsLsLsLsLsLLsLsLsLsLLsLs
19|11	4	LsLsLsLLsLsLsLsLsLLsLsLsLsLsLLs
18|12	24	LsLsLsLsLLsLsLsLsLLsLsLsLsLsLLs
17|13	13	LsLsLsLsLLsLsLsLsLsLLsLsLsLsLLs
16|14	2	LsLsLsLsLLsLsLsLsLsLLsLsLsLsLsL
15|15	22	LsLsLsLsLsLLsLsLsLsLLsLsLsLsLsL
14|16	11	LsLsLsLsLsLLsLsLsLsLsLLsLsLsLsL
13|17	31	sLLsLsLsLsLLsLsLsLsLsLLsLsLsLsL
12|18	20	sLLsLsLsLsLsLLsLsLsLsLLsLsLsLsL
11|19	9	sLLsLsLsLsLsLLsLsLsLsLsLLsLsLsL
10|20	29	sLsLLsLsLsLsLLsLsLsLsLsLLsLsLsL
9|21	18	sLsLLsLsLsLsLsLLsLsLsLsLLsLsLsL
8|22	7	sLsLLsLsLsLsLsLLsLsLsLsLsLLsLsL
7|23	27	sLsLsLLsLsLsLsLLsLsLsLsLsLLsLsL
6|24	16	sLsLsLLsLsLsLsLsLLsLsLsLsLLsLsL
5|25	5	sLsLsLLsLsLsLsLsLLsLsLsLsLsLLsL
4|26	25	sLsLsLsLLsLsLsLsLLsLsLsLsLsLLsL
3|27	14	sLsLsLsLLsLsLsLsLsLLsLsLsLsLLsL
2|28	3	sLsLsLsLLsLsLsLsLsLLsLsLsLsLsLL
1|29	23	sLsLsLsLsLLsLsLsLsLLsLsLsLsLsLL
0|30	12	sLsLsLsLsLLsLsLsLsLsLLsLsLsLsLL

Tuning spectrum

generator									L	s	L/s	gen (cents)	comment
6\17									1	0		423.529
								59\167	9	1	9.000	423.952
							53\150		8	1	8.000	424.000
						47\133			7	1	7.000	424.060
							88\249		13	2	6.500	424.096
					41\116				6	1	6.000	424.138
						76\215			11	2	5.500	424.186
				35\99					5	1	5.000	424.242
						99\280			14	3	4.667	424.286
					64\181				9	2	4.500	424.309
						93\263			13	3	4.333	424.335
			29\82						4	1	4.000	424.390
					81\229				11	3	3.667	424.454
				52\147					7	2	3.500	424.490
					75\212				10	3	3.333	424.528
						98\277			13	4	3.250	424.549
		23\65							3	1	3.000	424.615
					86\243				11	4	2.750	424.691
				63\178					8	3	2.667	424.719
			40\113						5	2	2.500	424.779
					97\274				12	5	2.400	424.818
				57\161					7	3	2.333	424.845
					74\209				9	4	2.250	424.880
						91\257			11	5	2.200	424.903
	17\48								2	1	2.000	425.000
						96\271			11	6	1.833	425.092
					79\223				9	5	1.800	425.112
				62\175					7	4	1.750	425.143
			45\127						5	3	1.667	425.197
				73\206					8	5	1.600	425.243
		28\79							3	2	1.500	425.316
					95\268				10	7	1.429	425.373
				67\189					7	5	1.400	425.397
			39\110						4	3	1.333	425.455
					89\251				9	7	1.286	425.498
				50\141					5	4	1.250	425.532
					61\172				6	5	1.200	425.581
						72\203			7	6	1.167	425.616
							83\234		8	7	1.143	425.641
								94\265	9	8	1.125	425.660
11\31									1	1	1.000	425.806