6L 11s

↖ 5L 10s	↑ 6L 10s	7L 10s ↗
← 5L 11s	6L 11s	7L 11s →
↙ 5L 12s	↓ 6L 12s	7L 12s ↘

┌╥┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐ │║│║││║││║││║││║│││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLssLssLssLssLss ssLssLssLssLssLsL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	14\17 to 5\6 (988.2¢ to 1000.0¢)
Dark	1\6 to 3\17 (200.0¢ to 211.8¢)
TAMNAMS information
Descends from	5L 1s (machinoid)
Ancestor's step ratio range	1:1 to 3:2 (soft)
Related MOS scales
Parent	6L 5s
Sister	11L 6s
Daughters	17L 6s, 6L 17s
Neutralized	12L 5s
2-Flought	23L 11s, 6L 28s
Equal tunings
Equalized (L:s = 1:1)	14\17 (988.2¢)
Supersoft (L:s = 4:3)	47\57 (989.5¢)
Soft (L:s = 3:2)	33\40 (990.0¢)
Semisoft (L:s = 5:3)	52\63 (990.5¢)
Basic (L:s = 2:1)	19\23 (991.3¢)
Semihard (L:s = 5:2)	43\52 (992.3¢)
Hard (L:s = 3:1)	24\29 (993.1¢)
Superhard (L:s = 4:1)	29\35 (994.3¢)
Collapsed (L:s = 1:0)	5\6 (1000.0¢)

6L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 11 small steps, repeating every octave. 6L 11s is a grandchild scale of 5L 1s, expanding it by 11 tones. Generators that produce this scale range from 988.2¢ to 1000¢, or from 200¢ to 211.8¢.

Modes

Modes of 6L 11s

UDP	Cyclic order	Step pattern
16|0	1	LsLssLssLssLssLss
15|1	15	LssLsLssLssLssLss
14|2	12	LssLssLsLssLssLss
13|3	9	LssLssLssLsLssLss
12|4	6	LssLssLssLssLsLss
11|5	3	LssLssLssLssLssLs
10|6	17	sLsLssLssLssLssLs
9|7	14	sLssLsLssLssLssLs
8|8	11	sLssLssLsLssLssLs
7|9	8	sLssLssLssLsLssLs
6|10	5	sLssLssLssLssLsLs
5|11	2	sLssLssLssLssLssL
4|12	16	ssLsLssLssLssLssL
3|13	13	ssLssLsLssLssLssL
2|14	10	ssLssLssLsLssLssL
1|15	7	ssLssLssLssLsLssL
0|16	4	ssLssLssLssLssLsL

Intervals

Intervals of 6L 11s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0¢ to 70.6¢
	Major 1-mosstep	M1ms	L	70.6¢ to 200.0¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0¢ to 141.2¢
	Major 2-mosstep	M2ms	L + s	141.2¢ to 200.0¢
3-mosstep	Perfect 3-mosstep	P3ms	L + 2s	200.0¢ to 211.8¢
	Augmented 3-mosstep	A3ms	2L + s	211.8¢ to 400.0¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	200.0¢ to 282.4¢
	Major 4-mosstep	M4ms	2L + 2s	282.4¢ to 400.0¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	200.0¢ to 352.9¢
	Major 5-mosstep	M5ms	2L + 3s	352.9¢ to 400.0¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	400.0¢ to 423.5¢
	Major 6-mosstep	M6ms	3L + 3s	423.5¢ to 600.0¢
7-mosstep	Minor 7-mosstep	m7ms	2L + 5s	400.0¢ to 494.1¢
	Major 7-mosstep	M7ms	3L + 4s	494.1¢ to 600.0¢
8-mosstep	Minor 8-mosstep	m8ms	2L + 6s	400.0¢ to 564.7¢
	Major 8-mosstep	M8ms	3L + 5s	564.7¢ to 600.0¢
9-mosstep	Minor 9-mosstep	m9ms	3L + 6s	600.0¢ to 635.3¢
	Major 9-mosstep	M9ms	4L + 5s	635.3¢ to 800.0¢
10-mosstep	Minor 10-mosstep	m10ms	3L + 7s	600.0¢ to 705.9¢
	Major 10-mosstep	M10ms	4L + 6s	705.9¢ to 800.0¢
11-mosstep	Minor 11-mosstep	m11ms	3L + 8s	600.0¢ to 776.5¢
	Major 11-mosstep	M11ms	4L + 7s	776.5¢ to 800.0¢
12-mosstep	Minor 12-mosstep	m12ms	4L + 8s	800.0¢ to 847.1¢
	Major 12-mosstep	M12ms	5L + 7s	847.1¢ to 1000.0¢
13-mosstep	Minor 13-mosstep	m13ms	4L + 9s	800.0¢ to 917.6¢
	Major 13-mosstep	M13ms	5L + 8s	917.6¢ to 1000.0¢
14-mosstep	Diminished 14-mosstep	d14ms	4L + 10s	800.0¢ to 988.2¢
	Perfect 14-mosstep	P14ms	5L + 9s	988.2¢ to 1000.0¢
15-mosstep	Minor 15-mosstep	m15ms	5L + 10s	1000.0¢ to 1058.8¢
	Major 15-mosstep	M15ms	6L + 9s	1058.8¢ to 1200.0¢
16-mosstep	Minor 16-mosstep	m16ms	5L + 11s	1000.0¢ to 1129.4¢
	Major 16-mosstep	M16ms	6L + 10s	1129.4¢ to 1200.0¢
17-mosstep	Perfect 17-mosstep	P17ms	6L + 11s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 6L 11s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
14\17						988.235	211.765	1:1	1.000	Equalized 6L 11s
					75\91	989.011	210.989	6:5	1.200
				61\74		989.189	210.811	5:4	1.250
					108\131	989.313	210.687	9:7	1.286
			47\57			989.474	210.526	4:3	1.333	Supersoft 6L 11s
					127\154	989.610	210.390	11:8	1.375
				80\97		989.691	210.309	7:5	1.400
					113\137	989.781	210.219	10:7	1.429
		33\40				990.000	210.000	3:2	1.500	Soft 6L 11s
					118\143	990.210	209.790	11:7	1.571
				85\103		990.291	209.709	8:5	1.600
					137\166	990.361	209.639	13:8	1.625
			52\63			990.476	209.524	5:3	1.667	Semisoft 6L 11s
					123\149	990.604	209.396	12:7	1.714
				71\86		990.698	209.302	7:4	1.750
					90\109	990.826	209.174	9:5	1.800
	19\23					991.304	208.696	2:1	2.000	Basic 6L 11s Scales with tunings softer than this are proper
					81\98	991.837	208.163	9:4	2.250
				62\75		992.000	208.000	7:3	2.333
					105\127	992.126	207.874	12:5	2.400
			43\52			992.308	207.692	5:2	2.500	Semihard 6L 11s
					110\133	992.481	207.519	13:5	2.600
				67\81		992.593	207.407	8:3	2.667
					91\110	992.727	207.273	11:4	2.750
		24\29				993.103	206.897	3:1	3.000	Hard 6L 11s
					77\93	993.548	206.452	10:3	3.333
				53\64		993.750	206.250	7:2	3.500
					82\99	993.939	206.061	11:3	3.667
			29\35			994.286	205.714	4:1	4.000	Superhard 6L 11s
					63\76	994.737	205.263	9:2	4.500
				34\41		995.122	204.878	5:1	5.000
					39\47	995.745	204.255	6:1	6.000
5\6						1000.000	200.000	1:0	→ ∞	Collapsed 6L 11s

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