11L 3s

The Ketradektriatoh Scale

This is a type of scale which denotes the use of a scale placed between 11 and 14 ED2's, employing a ratio generator between 41/32 ~ 9/7 (being 25-ED2 the middle size of the Ketradektriatoh spectrum, in the 2;1 relation), resulting in a variant of tetradecatonic scale comforms by this scheme: LLLsLLLLsLLLLs.

ED2s that contains this scale:

2 2 2 1 2 2 2 2 1 2 2 2 2 1: 25 (Middle range)

3 3 3 1 3 3 3 3 1 3 3 3 3 1: 36 (Lufsur range)

3 3 3 2 3 3 3 3 2 3 3 3 3 2: 39 (Fuslur range)

4 4 4 1 4 4 4 4 1 4 4 4 4 1: 47

4 4 4 2 4 4 4 4 2 4 4 4 4 2: 50

4 4 4 3 4 4 4 4 3 4 4 4 4 3: 53

5 5 5 1 5 5 5 5 1 5 5 5 5 1: 58

5 5 5 2 5 5 5 5 2 5 5 5 5 2: 61 Split-φ

5 5 5 3 5 5 5 5 3 5 5 5 5 3: 64 φ

5 5 5 4 5 5 5 5 4 5 5 5 5 4: 67

6 6 6 1 6 6 6 6 1 6 6 6 6 1: 69

6 6 6 5 6 6 6 6 5 6 6 6 6 5: 81

7 7 7 1 7 7 7 7 1 7 7 7 7 1: 80

7 7 7 2 7 7 7 7 2 7 7 7 7 2: 83

7 7 7 3 7 7 7 7 3 7 7 7 7 3: 86

7 7 7 4 7 7 7 7 4 7 7 7 7 4: 89

7 7 7 5 7 7 7 7 5 7 7 7 7 5: 92

7 7 7 6 7 7 7 7 6 7 7 7 7 6: 95

8 8 8 1 8 8 8 8 1 8 8 8 8 1: 91

8 8 8 3 8 8 8 8 3 8 8 8 8 3: 97 Split-φ

8 8 8 5 8 8 8 8 5 8 8 8 8 5: 103 φ

8 8 8 7 8 8 8 8 7 8 8 8 8 7: 109

9 9 9 1 9 9 9 9 1 9 9 9 9 1: 102

9 9 9 2 9 9 9 9 2 9 9 9 9 2: 105

9 9 9 4 9 9 9 9 4 9 9 9 9 4: 111

9 9 9 5 9 9 9 9 5 9 9 9 9 5: 114

9 9 9 7 9 9 9 9 7 9 9 9 9 7: 120

9 9 9 8 9 9 9 9 8 9 9 9 9 8: 123

10 10 10 1 10 10 10 10 1 10 10 10 10 1:113

10 10 10 3 10 10 10 10 3 10 10 10 10 3: 119

10 10 10 7 10 10 10 10 7 10 10 10 10 7: 131

10 10 10 9 10 10 10 10 9 10 10 10 10 9: 137

11 11 11 1 11 11 11 11 1 11 11 11 11 1: 124

11 11 11 2 11 11 11 11 2 11 11 11 11 2: 127

11 11 11 3 11 11 11 11 3 11 11 11 11 3: 130

11 11 11 4 11 11 11 11 4 11 11 11 11 4: 133

11 11 11 5 11 11 11 11 5 11 11 11 11 5: 136

11 11 11 6 11 11 11 11 6 11 11 11 11 6: 139

11 11 11 7 11 11 11 11 7 11 11 11 11 7: 142

11 11 11 8 11 11 11 11 8 11 11 11 11 8: 145

11 11 11 9 11 11 11 11 9 11 11 11 11 9 :148

11 11 11 10 11 11 11 11 10 11 11 11 11 10: 151

12 12 12 1 12 12 12 12 1 12 12 12 12 1: 135

12 12 12 5 12 12 12 12 5 12 12 12 12 5: 147

12 12 12 7 12 12 12 12 7 12 12 12 12 7: 153

12 12 12 11 12 12 12 12 11 12 12 12 12 11: 165

13 13 13 1 13 13 13 13 1 13 13 13 13 1: 146

13 13 13 2 13 13 13 13 2 13 13 13 13 2: 149

13 13 13 3 13 13 13 13 3 13 13 13 13 3: 152

13 13 13 4 13 13 13 13 4 13 13 13 13 4: 155

13 13 13 5 13 13 13 13 5 13 13 13 13 5: 158 Split-φ

13 13 13 6 13 13 13 13 6 13 13 13 13 6: 161

13 13 13 7 13 13 13 13 7 13 13 13 13 7: 164

13 13 13 8 13 13 13 13 8 13 13 13 13 8: 167 φ

13 13 13 9 13 13 13 13 9 13 13 13 13 9: 170

13 13 13 10 13 13 13 13 10 13 13 13 13 10: 173

13 13 13 11 13 13 13 13 11 13 13 13 13 11: 176

13 13 13 12 13 13 13 13 12 13 13 13 13 12: 179

14 14 14 1 14 14 14 14 1 14 14 14 14 1: 157

14 14 14 3 14 14 14 14 3 14 14 14 14 3: 163

14 14 14 5 14 14 14 14 5 14 14 14 14 5: 169

14 14 14 9 14 14 14 14 9 14 14 14 14 9: 181

14 14 14 11 14 14 14 14 11 14 14 14 14 11: 187

14 14 14 13 14 14 14 14 13 14 14 14 14 13: 193

15 15 15 1 15 15 15 15 1 15 15 15 15 1: 168

15 15 15 2 15 15 15 15 2 15 15 15 15 2: 171

15 15 15 4 15 15 15 15 4 15 15 15 15 4: 177

15 15 15 7 15 15 15 15 7 15 15 15 15 7: 186

15 15 15 8 15 15 15 15 8 15 15 15 15 8: 189

15 15 15 11 15 15 15 15 11 15 15 15 15 11: 198

15 15 15 13 15 15 15 15 13 15 15 15 15 13: 204

15 15 15 14 15 15 15 15 14 15 15 15 15 14: 207

16 16 16 1 16 16 16 16 1 16 16 16 16 1: 179

16 16 16 3 16 16 16 16 3 16 16 16 16 3: 185

16 16 16 5 16 16 16 16 5 16 16 16 16 5: 191

16 16 16 7 16 16 16 16 7 16 16 16 16 7: 197

16 16 16 9 16 16 16 16 9 16 16 16 16 9: 203

16 16 16 11 16 16 16 16 11 16 16 16 16 11: 209

16 16 16 13 16 16 16 16 13 16 16 16 16 13: 215

16 16 16 15 16 16 16 16 15 16 16 16 16 15: 221

17 17 17 1 17 17 17 17 1 17 17 17 17 1: 190

17 17 17 2 17 17 17 17 2 17 17 17 17 2: 193

17 17 17 3 17 17 17 17 3 17 17 17 17 3: 196

17 17 17 4 17 17 17 17 4 17 17 17 17 4: 199

17 17 17 5 17 17 17 17 5 17 17 17 17 5: 202 (Top limit for Lufsur range)

17 17 17 6 17 17 17 17 6 17 17 17 17 6: 205

17 17 17 7 17 17 17 17 7 17 17 17 17 7: 208

17 17 17 8 17 17 17 17 8 17 17 17 17 8: 211

17 17 17 9 17 17 17 17 9 17 17 17 17 9: 214

17 17 17 10 17 17 17 17 10 17 17 17 17 10: 217

17 17 17 11 17 17 17 17 11 17 17 17 17 11: 220

17 17 17 12 17 17 17 17 12 17 17 17 17 12: 223 (Top limit for Fuslur range)

17 17 17 13 17 17 17 17 13 17 17 17 17 13: 226

17 17 17 14 17 17 17 17 14 17 17 17 17 14: 229

17 17 17 15 17 17 17 17 15 17 17 17 17 15: 232

17 17 17 16 17 17 17 17 16 17 17 17 17 16: 235

The next table below shows an extension of ED2s which supports the Ketradektriatoh scale, with respect to the principal generator and their results for each L/s sizes:

4\11							436.364	109.091	0
						29\80	435	105	15
					25\69		434.783	104.348	17.391
				21\58			434.483	103.448	20.69
			17\47				434.043	102.128	25.532
				30\83			433.735	101.208	28.916
						73\202	433.663	100.990	29.703	Since here are the optimal range Lufsur mode (?)
					43\119		433.613	100.840	30.252
							433.459	100.377	31.95
		13\36					433.333	100	33.333
							433.048	99.144	36.473
				35\97			432.99	98.969	37.113
							432.933	98.799	37.738
			22\61				432.787	98.361	39.344
	9\25						432	96	48	Boundary of propriety; generators smaller than this are proper
							431.417	94.25	54.4155
			23\64				431.25	93.75	56.25
							431.1185	93.355	57.697
				37\103			431.068	93.204	58.25
							430.984	92.952	58.175
		14\39					430.769	92.308	61.538
					47\131		430.534	91.603	64.122
						80\223	430.493	91.480	64.575	Until here are the optimal range Fuslur mode (?)
				33\92			430.435	91.304	65.217
			19\53				430.189	90.566	67.925
				24\67			429.851	89.552	71.642
					29\81		429.63	88.889	74.074
						34\95	429.474	88.421	75.7895
5\14							428.571	85.714	85.714