14L 2s

↖ 13L 1s	↑ 14L 1s	15L 1s ↗
← 13L 2s	14L 2s	15L 2s →
↙ 13L 3s	↓ 14L 3s	15L 3s ↘

Scale structure
Step pattern	LLLLLLLsLLLLLLLs sLLLLLLLsLLLLLLL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	1\16 to 1\14 (75.0 ¢ to 85.7 ¢)
Dark	6\14 to 7\16 (514.3 ¢ to 525.0 ¢)
TAMNAMS information
Related to	2L 8s (jaric)
With tunings	3:1 to 4:1 (parahard)
Related MOS scales
Parent	2L 12s
Sister	2L 14s
Daughters	16L 14s, 14L 16s
Neutralized	12L 4s
2-Flought	30L 2s, 14L 18s
Equal tunings
Equalized (L:s = 1:1)	1\16 (75.0 ¢)
Supersoft (L:s = 4:3)	4\62 (77.4 ¢)
Soft (L:s = 3:2)	3\46 (78.3 ¢)
Semisoft (L:s = 5:3)	5\76 (78.9 ¢)
Basic (L:s = 2:1)	2\30 (80.0 ¢)
Semihard (L:s = 5:2)	5\74 (81.1 ¢)
Hard (L:s = 3:1)	3\44 (81.8 ¢)
Superhard (L:s = 4:1)	4\58 (82.8 ¢)
Collapsed (L:s = 1:0)	1\14 (85.7 ¢)
View • Talk • Edit

14L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 2 small steps, with a period of 7 large steps and 1 small step that repeats every 600.0 ¢, or twice every octave. 14L 2s is a great-grandchild scale of 2L 8s, expanding it by 6 tones. Generators that produce this scale range from 75 ¢ to 85.7 ¢, or from 514.3 ¢ to 525 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

Modes

Modes of 14L 2s

UDP	Cyclic order	Step pattern
14|0(2)	1	LLLLLLLsLLLLLLLs
12|2(2)	2	LLLLLLsLLLLLLLsL
10|4(2)	3	LLLLLsLLLLLLLsLL
8|6(2)	4	LLLLsLLLLLLLsLLL
6|8(2)	5	LLLsLLLLLLLsLLLL
4|10(2)	6	LLsLLLLLLLsLLLLL
2|12(2)	7	LsLLLLLLLsLLLLLL
0|14(2)	8	sLLLLLLLsLLLLLLL

Intervals

Intervals of 14L 2s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Diminished 1-mosstep	d1ms	s	0.0 ¢ to 75.0 ¢
	Perfect 1-mosstep	P1ms	L	75.0 ¢ to 85.7 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	85.7 ¢ to 150.0 ¢
	Major 2-mosstep	M2ms	2L	150.0 ¢ to 171.4 ¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	171.4 ¢ to 225.0 ¢
	Major 3-mosstep	M3ms	3L	225.0 ¢ to 257.1 ¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	257.1 ¢ to 300.0 ¢
	Major 4-mosstep	M4ms	4L	300.0 ¢ to 342.9 ¢
5-mosstep	Minor 5-mosstep	m5ms	4L + s	342.9 ¢ to 375.0 ¢
	Major 5-mosstep	M5ms	5L	375.0 ¢ to 428.6 ¢
6-mosstep	Minor 6-mosstep	m6ms	5L + s	428.6 ¢ to 450.0 ¢
	Major 6-mosstep	M6ms	6L	450.0 ¢ to 514.3 ¢
7-mosstep	Perfect 7-mosstep	P7ms	6L + s	514.3 ¢ to 525.0 ¢
	Augmented 7-mosstep	A7ms	7L	525.0 ¢ to 600.0 ¢
8-mosstep	Perfect 8-mosstep	P8ms	7L + s	600.0 ¢
9-mosstep	Diminished 9-mosstep	d9ms	7L + 2s	600.0 ¢ to 675.0 ¢
	Perfect 9-mosstep	P9ms	8L + s	675.0 ¢ to 685.7 ¢
10-mosstep	Minor 10-mosstep	m10ms	8L + 2s	685.7 ¢ to 750.0 ¢
	Major 10-mosstep	M10ms	9L + s	750.0 ¢ to 771.4 ¢
11-mosstep	Minor 11-mosstep	m11ms	9L + 2s	771.4 ¢ to 825.0 ¢
	Major 11-mosstep	M11ms	10L + s	825.0 ¢ to 857.1 ¢
12-mosstep	Minor 12-mosstep	m12ms	10L + 2s	857.1 ¢ to 900.0 ¢
	Major 12-mosstep	M12ms	11L + s	900.0 ¢ to 942.9 ¢
13-mosstep	Minor 13-mosstep	m13ms	11L + 2s	942.9 ¢ to 975.0 ¢
	Major 13-mosstep	M13ms	12L + s	975.0 ¢ to 1028.6 ¢
14-mosstep	Minor 14-mosstep	m14ms	12L + 2s	1028.6 ¢ to 1050.0 ¢
	Major 14-mosstep	M14ms	13L + s	1050.0 ¢ to 1114.3 ¢
15-mosstep	Perfect 15-mosstep	P15ms	13L + 2s	1114.3 ¢ to 1125.0 ¢
	Augmented 15-mosstep	A15ms	14L + s	1125.0 ¢ to 1200.0 ¢
16-mosstep	Perfect 16-mosstep	P16ms	14L + 2s	1200.0 ¢

Scale tree

Scale tree and tuning spectrum of 14L 2s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\16						75.000	525.000	1:1	1.000	Equalized 14L 2s
					6\94	76.596	523.404	6:5	1.200
				5\78		76.923	523.077	5:4	1.250
					9\140	77.143	522.857	9:7	1.286
			4\62			77.419	522.581	4:3	1.333	Supersoft 14L 2s
					11\170	77.647	522.353	11:8	1.375
				7\108		77.778	522.222	7:5	1.400
					10\154	77.922	522.078	10:7	1.429
		3\46				78.261	521.739	3:2	1.500	Soft 14L 2s
					11\168	78.571	521.429	11:7	1.571
				8\122		78.689	521.311	8:5	1.600
					13\198	78.788	521.212	13:8	1.625
			5\76			78.947	521.053	5:3	1.667	Semisoft 14L 2s
					12\182	79.121	520.879	12:7	1.714
				7\106		79.245	520.755	7:4	1.750
					9\136	79.412	520.588	9:5	1.800
	2\30					80.000	520.000	2:1	2.000	Basic 14L 2s
					9\134	80.597	519.403	9:4	2.250
				7\104		80.769	519.231	7:3	2.333
					12\178	80.899	519.101	12:5	2.400
			5\74			81.081	518.919	5:2	2.500	Semihard 14L 2s
					13\192	81.250	518.750	13:5	2.600
				8\118		81.356	518.644	8:3	2.667
					11\162	81.481	518.519	11:4	2.750
		3\44				81.818	518.182	3:1	3.000	Hard 14L 2s
					10\146	82.192	517.808	10:3	3.333
				7\102		82.353	517.647	7:2	3.500
					11\160	82.500	517.500	11:3	3.667
			4\58			82.759	517.241	4:1	4.000	Superhard 14L 2s
					9\130	83.077	516.923	9:2	4.500
				5\72		83.333	516.667	5:1	5.000
					6\86	83.721	516.279	6:1	6.000
1\14						85.714	514.286	1:0	→ ∞	Collapsed 14L 2s

This page is a stub. You can help the Xenharmonic Wiki by expanding it.