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: