2L 15s

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2L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 15 small steps, repeating every octave. 2L 15s is related to 2L 7s, expanding it by 8 tones. Generators that produce this scale range from 564.7 ¢ to 600 ¢, or from 600 ¢ to 635.3 ¢.

↖ 1L 14s	↑ 2L 14s	3L 14s ↗
← 1L 15s	2L 15s	3L 15s →
↙ 1L 16s	↓ 2L 16s	3L 16s ↘

Scale structure
Step pattern	LsssssssLssssssss ssssssssLsssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	8\17 to 1\2 (564.7 ¢ to 600.0 ¢)
Dark	1\2 to 9\17 (600.0 ¢ to 635.3 ¢)
TAMNAMS information
Related to	2L 7s (balzano)
With tunings	5:1 to 1:0
Related MOS scales
Parent	2L 13s
Sister	15L 2s
Daughters	17L 2s, 2L 17s
Neutralized	4L 13s
2-Flought	19L 15s, 2L 32s
Equal tunings
Equalized (L:s = 1:1)	8\17 (564.7 ¢)
Supersoft (L:s = 4:3)	25\53 (566.0 ¢)
Soft (L:s = 3:2)	17\36 (566.7 ¢)
Semisoft (L:s = 5:3)	26\55 (567.3 ¢)
Basic (L:s = 2:1)	9\19 (568.4 ¢)
Semihard (L:s = 5:2)	19\40 (570.0 ¢)
Hard (L:s = 3:1)	10\21 (571.4 ¢)
Superhard (L:s = 4:1)	11\23 (573.9 ¢)
Collapsed (L:s = 1:0)	1\2 (600.0 ¢)
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Modes

Modes of 2L 15s

UDP	Cyclic order	Step pattern
16|0	1	LsssssssLssssssss
15|1	9	LssssssssLsssssss
14|2	17	sLsssssssLsssssss
13|3	8	sLssssssssLssssss
12|4	16	ssLsssssssLssssss
11|5	7	ssLssssssssLsssss
10|6	15	sssLsssssssLsssss
9|7	6	sssLssssssssLssss
8|8	14	ssssLsssssssLssss
7|9	5	ssssLssssssssLsss
6|10	13	sssssLsssssssLsss
5|11	4	sssssLssssssssLss
4|12	12	ssssssLsssssssLss
3|13	3	ssssssLssssssssLs
2|14	11	sssssssLsssssssLs
1|15	2	sssssssLssssssssL
0|16	10	ssssssssLsssssssL

Tuning spectrum

Triton / liese / progress range

generator								L	s	L/s	gen (cents)	comment
1\2								1	0		600.000
							15\31	8	1	8.000	580.645	Tritonic
						14\29		7	1	7.000	579.310
							27\56	13	2	6.500	578.571
					13\27			6	1	6.000	577.778	Fervor
							38\79	17	3	5.667	577.215
						25\52		11	2	5.500	576.923
							37\77	16	3	5.333	576.623
				12\25				5	1	5.000	576.000
							47\98	19	4	4.750	575.510
						35\73		14	3	4.667	575.342
					23\48			9	2	4.500	575.000
							57\119	22	5	4.400	574.790
						34\71		13	3	4.333	574.648
							45\94	17	4	4.250	574.468
			11\23					4	1	4.000	573.913
							54\113	19	5	3.800	573.451
						43\90		15	4	3.750	573.333
					32\67			11	3	3.667	573.134
						53\111		18	5	3.600	572.973
				21\44				7	2	3.500	572.727
						52\109		17	5	3.400	572.477
					31\65			10	3	3.333	572.308
						41\86		13	4	3.250	572.093
							51\107	16	5	3.200	571.963
		10\21						3	1	3.000	571.429
						49\103		14	5	2.800	570.874
					39\82			11	4	2.750	570.732
				29\61				8	3	2.667	570.492
					48\101			13	5	2.600	570.297
			19\40					5	2	2.500	570.000
					47\99			12	5	2.400	569.697
				28\59				7	3	2.333	569.492
						37\78		9	4	2.250	569.231
					46\97			11	5	2.200	569.072
						55\116		13	6	2.167	568.966	Lisa
	9\19							2	1	2.000	568.421
						53\112		11	6	1.833	567.857
					44\93			9	5	1.800	567.742	Pycnic
				35\74				7	4	1.750	567.568
			26\55					5	3	1.667	567.273
				43\91				8	5	1.600	567.033	Liesel
		17\36						3	2	1.500	566.667
				42\89				7	5	1.400	566.292
			25\53					4	3	1.333	566.038	Tricot
				33\70				5	4	1.250	565.714
					41\87			6	5	1.200	565.517
						49\104		7	6	1.167	565.385
							57\121	8	7	1.143	565.289
8\17								1	1	1.000	564.706