2L 12s

2L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 12 small steps, with a period of 1 large step and 6 small steps that repeats every 600.0 ¢, or twice every octave. 2L 12s is a grandchild scale of 2L 8s, expanding it by 4 tones. Generators that produce this scale range from 514.3 ¢ to 600 ¢, or from 0 ¢ to 85.7 ¢.

↖ 1L 11s	↑ 2L 11s	3L 11s ↗
← 1L 12s	2L 12s	3L 12s →
↙ 1L 13s	↓ 2L 13s	3L 13s ↘

Scale structure
Step pattern	LssssssLssssss ssssssLssssssL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	6\14 to 1\2 (514.3 ¢ to 600.0 ¢)
Dark	0\2 to 1\14 (0.0 ¢ to 85.7 ¢)
TAMNAMS information
Related to	2L 8s (jaric)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	2L 10s
Sister	12L 2s
Daughters	14L 2s, 2L 14s
Neutralized	4L 10s
2-Flought	16L 12s, 2L 26s
Equal tunings
Equalized (L:s = 1:1)	6\14 (514.3 ¢)
Supersoft (L:s = 4:3)	19\44 (518.2 ¢)
Soft (L:s = 3:2)	13\30 (520.0 ¢)
Semisoft (L:s = 5:3)	20\46 (521.7 ¢)
Basic (L:s = 2:1)	7\16 (525.0 ¢)
Semihard (L:s = 5:2)	15\34 (529.4 ¢)
Hard (L:s = 3:1)	8\18 (533.3 ¢)
Superhard (L:s = 4:1)	9\20 (540.0 ¢)
Collapsed (L:s = 1:0)	1\2 (600.0 ¢)
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Modes

Modes of 2L 12s

UDP	Cyclic order	Step pattern
12|0(2)	1	LssssssLssssss
10|2(2)	7	sLssssssLsssss
8|4(2)	6	ssLssssssLssss
6|6(2)	5	sssLssssssLsss
4|8(2)	4	ssssLssssssLss
2|10(2)	3	sssssLssssssLs
0|12(2)	2	ssssssLssssssL

Intervals

Intervals of 2L 12s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Perfect 1-mosstep	P1ms	s	0.0 ¢ to 85.7 ¢
	Augmented 1-mosstep	A1ms	L	85.7 ¢ to 600.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 171.4 ¢
	Major 2-mosstep	M2ms	L + s	171.4 ¢ to 600.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 257.1 ¢
	Major 3-mosstep	M3ms	L + 2s	257.1 ¢ to 600.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 342.9 ¢
	Major 4-mosstep	M4ms	L + 3s	342.9 ¢ to 600.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0 ¢ to 428.6 ¢
	Major 5-mosstep	M5ms	L + 4s	428.6 ¢ to 600.0 ¢
6-mosstep	Diminished 6-mosstep	d6ms	6s	0.0 ¢ to 514.3 ¢
	Perfect 6-mosstep	P6ms	L + 5s	514.3 ¢ to 600.0 ¢
7-mosstep	Perfect 7-mosstep	P7ms	L + 6s	600.0 ¢
8-mosstep	Perfect 8-mosstep	P8ms	L + 7s	600.0 ¢ to 685.7 ¢
	Augmented 8-mosstep	A8ms	2L + 6s	685.7 ¢ to 1200.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	L + 8s	600.0 ¢ to 771.4 ¢
	Major 9-mosstep	M9ms	2L + 7s	771.4 ¢ to 1200.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	L + 9s	600.0 ¢ to 857.1 ¢
	Major 10-mosstep	M10ms	2L + 8s	857.1 ¢ to 1200.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	L + 10s	600.0 ¢ to 942.9 ¢
	Major 11-mosstep	M11ms	2L + 9s	942.9 ¢ to 1200.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	L + 11s	600.0 ¢ to 1028.6 ¢
	Major 12-mosstep	M12ms	2L + 10s	1028.6 ¢ to 1200.0 ¢
13-mosstep	Diminished 13-mosstep	d13ms	L + 12s	600.0 ¢ to 1114.3 ¢
	Perfect 13-mosstep	P13ms	2L + 11s	1114.3 ¢ to 1200.0 ¢
14-mosstep	Perfect 14-mosstep	P14ms	2L + 12s	1200.0 ¢

Tuning spectrum

Todo: review Review entries from past page revision and enter them into the scale tree.

Bipelog range.

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 2L 12s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
6\14						514.286	85.714	1:1	1.000	Equalized 2L 12s
					31\72	516.667	83.333	6:5	1.200
				25\58		517.241	82.759	5:4	1.250
					44\102	517.647	82.353	9:7	1.286
			19\44			518.182	81.818	4:3	1.333	Supersoft 2L 12s
					51\118	518.644	81.356	11:8	1.375
				32\74		518.919	81.081	7:5	1.400
					45\104	519.231	80.769	10:7	1.429
		13\30				520.000	80.000	3:2	1.500	Soft 2L 12s
					46\106	520.755	79.245	11:7	1.571
				33\76		521.053	78.947	8:5	1.600
					53\122	521.311	78.689	13:8	1.625
			20\46			521.739	78.261	5:3	1.667	Semisoft 2L 12s
					47\108	522.222	77.778	12:7	1.714
				27\62		522.581	77.419	7:4	1.750
					34\78	523.077	76.923	9:5	1.800
	7\16					525.000	75.000	2:1	2.000	Basic 2L 12s Scales with tunings softer than this are proper
					29\66	527.273	72.727	9:4	2.250
				22\50		528.000	72.000	7:3	2.333
					37\84	528.571	71.429	12:5	2.400
			15\34			529.412	70.588	5:2	2.500	Semihard 2L 12s
					38\86	530.233	69.767	13:5	2.600
				23\52		530.769	69.231	8:3	2.667
					31\70	531.429	68.571	11:4	2.750
		8\18				533.333	66.667	3:1	3.000	Hard 2L 12s
					25\56	535.714	64.286	10:3	3.333
				17\38		536.842	63.158	7:2	3.500
					26\58	537.931	62.069	11:3	3.667
			9\20			540.000	60.000	4:1	4.000	Superhard 2L 12s
					19\42	542.857	57.143	9:2	4.500
				10\22		545.455	54.545	5:1	5.000
					11\24	550.000	50.000	6:1	6.000
1\2						600.000	0.000	1:0	→ ∞	Collapsed 2L 12s

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