11L 5s

↖ 10L 4s	↑ 11L 4s	12L 4s ↗
← 10L 5s	11L 5s	12L 5s →
↙ 10L 6s	↓ 11L 6s	12L 6s ↘

┌╥╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬┐ │║║║│║║│║║│║║│║║││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLsLLsLLsLLs sLLsLLsLLsLLsLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	13\16 to 9\11 (975.0 ¢ to 981.8 ¢)
Dark	2\11 to 3\16 (218.2 ¢ to 225.0 ¢)
TAMNAMS information
Descends from	5L 1s (machinoid)
Ancestor's step ratio range	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	5L 6s
Sister	5L 11s
Daughters	16L 11s, 11L 16s
Neutralized	6L 10s
2-Flought	27L 5s, 11L 21s
Equal tunings
Equalized (L:s = 1:1)	13\16 (975.0 ¢)
Supersoft (L:s = 4:3)	48\59 (976.3 ¢)
Soft (L:s = 3:2)	35\43 (976.7 ¢)
Semisoft (L:s = 5:3)	57\70 (977.1 ¢)
Basic (L:s = 2:1)	22\27 (977.8 ¢)
Semihard (L:s = 5:2)	53\65 (978.5 ¢)
Hard (L:s = 3:1)	31\38 (978.9 ¢)
Superhard (L:s = 4:1)	40\49 (979.6 ¢)
Collapsed (L:s = 1:0)	9\11 (981.8 ¢)

11L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 5 small steps, repeating every octave. 11L 5s is a grandchild scale of 5L 1s, expanding it by 10 tones. Generators that produce this scale range from 975 ¢ to 981.8 ¢, or from 218.2 ¢ to 225 ¢.

Modes

Modes of 11L 5s

UDP	Cyclic order	Step pattern
15|0	1	LLLsLLsLLsLLsLLs
14|1	14	LLsLLLsLLsLLsLLs
13|2	11	LLsLLsLLLsLLsLLs
12|3	8	LLsLLsLLsLLLsLLs
11|4	5	LLsLLsLLsLLsLLLs
10|5	2	LLsLLsLLsLLsLLsL
9|6	15	LsLLLsLLsLLsLLsL
8|7	12	LsLLsLLLsLLsLLsL
7|8	9	LsLLsLLsLLLsLLsL
6|9	6	LsLLsLLsLLsLLLsL
5|10	3	LsLLsLLsLLsLLsLL
4|11	16	sLLLsLLsLLsLLsLL
3|12	13	sLLsLLLsLLsLLsLL
2|13	10	sLLsLLsLLLsLLsLL
1|14	7	sLLsLLsLLsLLLsLL
0|15	4	sLLsLLsLLsLLsLLL

Intervals

Intervals of 11L 5s

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 75.0 ¢
	Major 1-mosstep	M1ms	L	75.0 ¢ to 109.1 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	109.1 ¢ to 150.0 ¢
	Major 2-mosstep	M2ms	2L	150.0 ¢ to 218.2 ¢
3-mosstep	Perfect 3-mosstep	P3ms	2L + s	218.2 ¢ to 225.0 ¢
	Augmented 3-mosstep	A3ms	3L	225.0 ¢ to 327.3 ¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	218.2 ¢ to 300.0 ¢
	Major 4-mosstep	M4ms	3L + s	300.0 ¢ to 327.3 ¢
5-mosstep	Minor 5-mosstep	m5ms	3L + 2s	327.3 ¢ to 375.0 ¢
	Major 5-mosstep	M5ms	4L + s	375.0 ¢ to 436.4 ¢
6-mosstep	Minor 6-mosstep	m6ms	4L + 2s	436.4 ¢ to 450.0 ¢
	Major 6-mosstep	M6ms	5L + s	450.0 ¢ to 545.5 ¢
7-mosstep	Minor 7-mosstep	m7ms	4L + 3s	436.4 ¢ to 525.0 ¢
	Major 7-mosstep	M7ms	5L + 2s	525.0 ¢ to 545.5 ¢
8-mosstep	Minor 8-mosstep	m8ms	5L + 3s	545.5 ¢ to 600.0 ¢
	Major 8-mosstep	M8ms	6L + 2s	600.0 ¢ to 654.5 ¢
9-mosstep	Minor 9-mosstep	m9ms	6L + 3s	654.5 ¢ to 675.0 ¢
	Major 9-mosstep	M9ms	7L + 2s	675.0 ¢ to 763.6 ¢
10-mosstep	Minor 10-mosstep	m10ms	6L + 4s	654.5 ¢ to 750.0 ¢
	Major 10-mosstep	M10ms	7L + 3s	750.0 ¢ to 763.6 ¢
11-mosstep	Minor 11-mosstep	m11ms	7L + 4s	763.6 ¢ to 825.0 ¢
	Major 11-mosstep	M11ms	8L + 3s	825.0 ¢ to 872.7 ¢
12-mosstep	Minor 12-mosstep	m12ms	8L + 4s	872.7 ¢ to 900.0 ¢
	Major 12-mosstep	M12ms	9L + 3s	900.0 ¢ to 981.8 ¢
13-mosstep	Diminished 13-mosstep	d13ms	8L + 5s	872.7 ¢ to 975.0 ¢
	Perfect 13-mosstep	P13ms	9L + 4s	975.0 ¢ to 981.8 ¢
14-mosstep	Minor 14-mosstep	m14ms	9L + 5s	981.8 ¢ to 1050.0 ¢
	Major 14-mosstep	M14ms	10L + 4s	1050.0 ¢ to 1090.9 ¢
15-mosstep	Minor 15-mosstep	m15ms	10L + 5s	1090.9 ¢ to 1125.0 ¢
	Major 15-mosstep	M15ms	11L + 4s	1125.0 ¢ to 1200.0 ¢
16-mosstep	Perfect 16-mosstep	P16ms	11L + 5s	1200.0 ¢

Scale tree

Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. 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 11L 5s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
13\16						975.000	225.000	1:1	1.000	Equalized 11L 5s
					74\91	975.824	224.176	6:5	1.200
				61\75		976.000	224.000	5:4	1.250
					109\134	976.119	223.881	9:7	1.286
			48\59			976.271	223.729	4:3	1.333	Supersoft 11L 5s
					131\161	976.398	223.602	11:8	1.375
				83\102		976.471	223.529	7:5	1.400
					118\145	976.552	223.448	10:7	1.429
		35\43				976.744	223.256	3:2	1.500	Soft 11L 5s
					127\156	976.923	223.077	11:7	1.571
				92\113		976.991	223.009	8:5	1.600
					149\183	977.049	222.951	13:8	1.625
			57\70			977.143	222.857	5:3	1.667	Semisoft 11L 5s
					136\167	977.246	222.754	12:7	1.714
				79\97		977.320	222.680	7:4	1.750
					101\124	977.419	222.581	9:5	1.800
	22\27					977.778	222.222	2:1	2.000	Basic 11L 5s Scales with tunings softer than this are proper
					97\119	978.151	221.849	9:4	2.250
				75\92		978.261	221.739	7:3	2.333
					128\157	978.344	221.656	12:5	2.400
			53\65			978.462	221.538	5:2	2.500	Semihard 11L 5s
					137\168	978.571	221.429	13:5	2.600
				84\103		978.641	221.359	8:3	2.667
					115\141	978.723	221.277	11:4	2.750
		31\38				978.947	221.053	3:1	3.000	Hard 11L 5s
					102\125	979.200	220.800	10:3	3.333
				71\87		979.310	220.690	7:2	3.500
					111\136	979.412	220.588	11:3	3.667
			40\49			979.592	220.408	4:1	4.000	Superhard 11L 5s
					89\109	979.817	220.183	9:2	4.500
				49\60		980.000	220.000	5:1	5.000
					58\71	980.282	219.718	6:1	6.000
9\11						981.818	218.182	1:0	→ ∞	Collapsed 11L 5s

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