User:Moremajorthanmajor/5L 1s (11/6-equivalent)


← 4L 1s⟨11/6⟩	5L 1s<11/6>	6L 1s⟨11/6⟩ →
↙ 4L 2s⟨11/6⟩	↓ 5L 2s⟨11/6⟩	6L 2s⟨11/6⟩ ↘

┌╥╥╥╥╥┬┐
│║║║║║││
││││││││
└┴┴┴┴┴┴┘

Scale structure

Step pattern

LLLLLs
sLLLLL

Equave

11/6 (1049.4¢)

Period

11/6 (1049.4¢)

Generator size^(ed11/6)

Bright

1\6 to 1\5 (174.9¢ to 209.9¢)

Dark

4\5 to 5\6 (839.5¢ to 874.5¢)

Related MOS scales

6L 5s⟨11/6⟩, 5L 6s⟨11/6⟩

Neutralized

4L 2s⟨11/6⟩

2-Flought

11L 1s⟨11/6⟩, 5L 7s⟨11/6⟩

Equal tunings^(ed11/6)

Equalized (L:s = 1:1)

1\6 (174.9¢)

Supersoft (L:s = 4:3)

4\23 (182.5¢)

3\17 (185.2¢)

5\28 (187.4¢)

2\11 (190.8¢)

5\27 (194.3¢)

3\16 (196.8¢)

Superhard (L:s = 4:1)

4\21 (199.9¢)

Collapsed (L:s = 1:0)

1\5 (209.9¢)

5L 1s⟨11/6⟩ is a 11/6-equivalent (non-octave) moment of symmetry scale containing 5 large steps and 1 small step, repeating every interval of 11/6 (1049.4¢). Generators that produce this scale range from 174.9¢ to 209.9¢, or from 839.5¢ to 874.5¢. Scales of this form are always proper because there is only one small step. It is the rare simplest tuning of the greater whole tone scale with a major seventh.

The only notable low-harmonic-entropy scale with this MOS pattern is tetracot, in which the large step is 10/9 and four of them make a 3/2 since the seventh (septave) 11/6 is 1049.323¢.

Scales with this pattern are always proper, because there is only one small step.

Scale tree

Scale Tree and Tuning Spectrum of 5L 1s⟨11/6⟩
Generator^(ed11/6)						Cents		Step ratio		Comments^{(always proper)}
Generator^(ed11/6)						Bright	Dark	L:s	Hardness	Comments^{(always proper)}
1\6						174.894	874.469	1:1	1.000	Equalized 5L 1s⟨11/6⟩
					6\35	179.891	869.472	6:5	1.200
				5\29		180.925	868.438	5:4	1.250
					9\52	181.621	867.742	9:7	1.286
			4\23			182.498	866.865	4:3	1.333	Supersoft 5L 1s⟨11/6⟩
					11\63	183.222	866.141	11:8	1.375
				7\40		183.639	865.724	7:5	1.400
					10\57	184.099	865.264	10:7	1.429
		3\17				185.182	864.181	3:2	1.500	Soft 5L 1s⟨11/6⟩
					11\62	186.177	863.186	11:7	1.571
				8\45		186.553	862.810	8:5	1.600
					13\73	186.873	862.490	13:8	1.625
			5\28			187.386	861.977	5:3	1.667	Semisoft 5L 1s⟨11/6⟩
					12\67	187.946	861.417	12:7	1.714
				7\39		188.347	861.016	7:4	1.750
					9\50	188.885	860.478	9:5	1.800
	2\11					190.793	858.570	2:1	2.000	Basic 5L 1s⟨11/6⟩
					9\49	192.740	856.623	9:4	2.250
				7\38		193.304	856.059	7:3	2.333
					12\65	193.729	855.634	12:5	2.400
			5\27			194.326	855.036	5:2	2.500	Semihard 5L 1s⟨11/6⟩
					13\70	194.882	854.481	13:5	2.600
				8\43		195.230	854.133	8:3	2.667
					11\59	195.644	853.719	11:4	2.750
		3\16				196.756	852.607	3:1	3.000	Hard 5L 1s⟨11/6⟩
					10\53	197.993	851.370	10:3	3.333
				7\37		198.528	850.835	7:2	3.500
					11\58	199.017	850.346	11:3	3.667
			4\21			199.879	849.484	4:1	4.000	Superhard 5L 1s⟨11/6⟩
					9\47	200.942	848.421	9:2	4.500
				5\26		201.801	847.562	5:1	5.000
					6\31	203.103	846.260	6:1	6.000
1\5						209.873	839.490	1:0	→ ∞	Collapsed 5L 1s⟨11/6⟩

User:Moremajorthanmajor/5L 1s (11/6-equivalent)

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