11L 1s: Difference between revisions

Revision as of 19:14, 15 August 2022


← 10L 1s	11L 1s	12L 1s →
↙ 10L 2s	↓ 11L 2s	12L 2s ↘

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││││││││││││││
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Scale structure

Step pattern

LLLLLLLLLLLs
sLLLLLLLLLLL

Equave

2/1 (1200.0 ¢)

Period

2/1 (1200.0 ¢)

Generator size

Bright

1\12 to 1\11 (100.0 ¢ to 109.1 ¢)

Dark

10\11 to 11\12 (1090.9 ¢ to 1100.0 ¢)

TAMNAMS information

Related to

1L 9s (antisinatonic)

With tunings

2:1 to 3:1 (hypohard)

Related MOS scales

Equal tunings

Equalized (L:s = 1:1)

1\12 (100.0 ¢)

Supersoft (L:s = 4:3)

4\47 (102.1 ¢)

3\35 (102.9 ¢)

5\58 (103.4 ¢)

2\23 (104.3 ¢)

5\57 (105.3 ¢)

3\34 (105.9 ¢)

Superhard (L:s = 4:1)

4\45 (106.7 ¢)

Collapsed (L:s = 1:0)

1\11 (109.1 ¢)

The 11L 1s MOS scale, with its diatonic minor second generator, is the dodecatonic scale of ripple (9:8 = +2 generators) and passion (6:5 = +3 generators) temperaments. However, it feels markedly more hendecatonic to listeners used to the equally divided chromatic scale because of its unbroken chain of eleven equal steps–never mind that the 12th degree is actually less than the octave. This hendecatonic feel is especially pronounced above 2\23, where the octave feels like a comma shift of the 12th degree rather than an independent note.

Scale tree

Generator		Cents	2g	3g	Comments
1\12		100	200	300	Ripple
5\59		101.695	203.390	305.085
	9\106	101.887	203.774	305.660
	13\153	101.961	203.922	305.882
	17\200	102	204	306
4\47		102.128	204.255	306.383
	7\82	102.439	204.878	307.317
	10\117	102.564	205.128	307.692
	13\152	102.632	205.263	307.895
	16\187	102.674	205.348	308.021
	19\222	102.703	205.405	308.108
3\35		102.857	205.714	308.571
	20\233	103.004	206.009	309.013
	17\198	103.030	206.061	309.091
	14\163	103.067	206.135	309.202
		103.123	206.2455	309.368
	11\128	103.125	206.25	309.375
	8\93	103.226	206.452	309.677
		103.288	206.575	309.863
	5\58	103.448	206.897	310.345
		103.651	207.301	310.952
	7\81	103.703	207.407	311.111
	9\104	103.846	207.692	311.538
	11\127	103.937	207.874	311.811
	13\150	104	208	312
2\23		104.348	208.969	313.043	Ripple
	11\126	104.762	209.524	314.286
	9\103	104.854	209.709	314.563
	7\80	105	210	315
	5\57	105.263	210.526	315.789
		105.43	210.86	316.29
	8\91	105.495	210.989	316.484
		105.561	211.121	316.682
	11\125	105.6	211.2	316.8
3\34		105.822	211.765	317.647
	28\317	105.994	211.987	317.981
	25\283	106.007	212.014	318.021
		106.023	212.046	318.069
	22\249	106.024	212.048	318.072
	19\215	106.047	212.093	318.140
	16\181	106.077	212.155	318.232
	13\147	106.122	212.245	318.367
	10\113	106.195	212.389	318.581
	7\79	106.329	212.658	318.987
	11\124	106.452	212.903	319.355
4\45		106.667	213.333	320
5\56		107.143	214.286	321.429
1\11		109.091	218.182	327.273

@@ Line 29: / Line 29: @@
 |
 | 101.695
-| 203.39
+| 203.390
 | 305.085
 |
@@ Line 37: / Line 37: @@
 | 101.887
 | 203.774
-| 305.66
+| 305.660
 |
 |-
@@ Line 91: / Line 91: @@
 |
 | 19\222
-| 102.838
+| 102.703
-| 205.676
+| 205.405
-| 308.5135
+| 308.108
 |
 |-
@@ Line 112: / Line 112: @@
 |
 | 17\198
-| 103.03
+| 103.030
 | 206.061
 | 309.091
@@ Line 119: / Line 119: @@
 |
 | 14\163
-| 103.0675
+| 103.067
 | 206.135
-| 309.2025
+| 309.202
 |
 |-
@@ Line 177: / Line 177: @@
 | 103.846
 | 207.692
-| 311.5385
+| 311.538
 |
 |-
@@ Line 198: / Line 198: @@
 | 104.348
 | 208.969
-| 313.0435
+| 313.043
 | Ripple
 |-
@@ Line 226: / Line 226: @@
 | 105.263
 | 210.526
-| 315.7895
+| 315.789
 |
 |-
@@ Line 238: / Line 238: @@
 |
 | 8\91
-| 105.4945
+| 105.495
 | 210.989
-| 316.4835
+| 316.484
 |
 |-
@@ Line 294: / Line 294: @@
 |
 | 19\215
-| 106.0465
+| 106.047
 | 212.093
-| 318.1395
+| 318.140
 |
 |-
@@ Line 355: / Line 355: @@
 |
 |}
+{{todo|unify precision}}

11L 1s: Difference between revisions

Revision as of 19:14, 15 August 2022

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