EDT: Difference between revisions
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| | [[72edt]] | | | [[72edt]] | ||
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| | 72edt falls exactly halfway between 45 and 46 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\91 of an octave. | | | 72edt falls exactly halfway between 45 and 46 edos. It is the last edt which entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\91 of an octave. | ||
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| | [[73edt]] | | | [[73edt]] | ||
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| | [[77edt]] | | | [[77edt]] | ||
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| | 77edt falls exactly halfway between 48 and 49 edos, so it strongly resembles the scale with generator 2\97 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 77edt falls exactly halfway between 48 and 49 edos, so it strongly resembles the scale with generator 2\97 of an octave, but technically does not entirely miss 2/1 due to having a step of ~24.7¢. | ||
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| | [[78edt]] | | | [[78edt]] | ||
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| | [[80edt]] | | | [[80edt]] | ||
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| | 80edt falls exactly halfway between 50 and 51 edos, so it strongly resembles the scale with generator 2\101 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 80edt falls exactly halfway between 50 and 51 edos, so it strongly resembles the scale with generator 2\101 of an octave, but technically does not entirely miss 2/1 due to having a step of ~23.8¢. | ||
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| | [[81edt]] | | | [[81edt]] | ||
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| | [[83edt]] | | | [[83edt]] | ||
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| | 83edt falls exactly halfway between 50 and 51 edos. so it strongly resembles the scale with generator 2\105 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 83edt falls exactly halfway between 50 and 51 edos. so it strongly resembles the scale with generator 2\105 of an octave, but technically does not entirely miss 2/1 due to having a step of ~22.9¢. | ||
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| | [[84edt]] | | | [[84edt]] | ||
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| | [[85edt]] | | | [[85edt]] | ||
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| | 85edt falls exactly halfway between 53 and 54 edos, so it strongly resembles the scale with generator 2\107 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 85edt falls exactly halfway between 53 and 54 edos, so it strongly resembles the scale with generator 2\107 of an octave, but technically does not entirely miss 2/1 due to having a step of ~22.4¢. | ||
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| | [[86edt]] | | | [[86edt]] | ||
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| | [[88edt]] | | | [[88edt]] | ||
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| | 88edt falls exactly halfway between 55 and 56 edos, so it strongly resembles the scale with generator 2\111 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 88edt falls exactly halfway between 55 and 56 edos, so it strongly resembles the scale with generator 2\111 of an octave, but technically does not entirely miss 2/1 due to having a step of ~21.6¢. | ||
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| | [[89edt]] | | | [[89edt]] | ||
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| | [[91edt]] | | | [[91edt]] | ||
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| | 91edt falls exactly halfway between 57 and 58 edos, so it strongly resembles the scale with generator 2\115 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 91edt falls exactly halfway between 57 and 58 edos, so it strongly resembles the scale with generator 2\115 of an octave, but technically does not entirely miss 2/1 due to having a step of ~20.9¢. | ||
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| | [[92edt]] | | | [[92edt]] | ||
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| | [[96edt]] | | | [[96edt]] | ||
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| | 96edt falls exactly halfway between 60 and 61 edos, so it strongly resembles the scale with generator 2\121 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 96edt falls exactly halfway between 60 and 61 edos, so it strongly resembles the scale with generator 2\121 of an octave, but technically does not entirely miss 2/1 due to having a step of ~19.8¢ or smaller. | ||
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| | [[97edt]] | | | [[97edt]] | ||
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| | [[99edt]] | | | [[99edt]] | ||
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| | 99edt falls exactly halfway between 62 and 63 edos, so it strongly resembles the scale with generator 2\125 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 99edt falls exactly halfway between 62 and 63 edos, so it strongly resembles the scale with generator 2\125 of an octave, but technically does not entirely miss 2/1 due to having a step of ~19.2¢ or smaller. | ||
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| | [[100edt]] | | | [[100edt]] | ||
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| | [[104edt]] | | | [[104edt]] | ||
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| | 104edt falls exactly halfway between 65 and 66 edos, so it strongly resembles the scale with generator 2\131 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 104edt falls exactly halfway between 65 and 66 edos, so it strongly resembles the scale with generator 2\131 of an octave, but technically does not entirely miss 2/1 due to having a step of ~18.3¢ or smaller. | ||
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| | [[105edt]] | | | [[105edt]] | ||
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| | [[107edt]] | | | [[107edt]] | ||
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| | 107edt falls exactly halfway between 67 and 68 edos, so it strongly resembles the scale with generator 2\135 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 107edt falls exactly halfway between 67 and 68 edos, so it strongly resembles the scale with generator 2\135 of an octave, but technically does not entirely miss 2/1 due to having a step of ~17.8¢ or smaller. | ||
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| | [[108edt]] | | | [[108edt]] | ||
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| | [[110edt]] | | | [[110edt]] | ||
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| | 110edt falls exactly halfway between 69 and 70 edos, so it strongly resembles the scale with generator 2\139 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 110edt falls exactly halfway between 69 and 70 edos, so it strongly resembles the scale with generator 2\139 of an octave, but technically does not entirely miss 2/1 due to having a step of ~17.3¢ or smaller. | ||
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| | [[111edt]] | | | [[111edt]] | ||
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| | [[115edt]] | | | [[115edt]] | ||
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| | 115edt falls exactly halfway between 72 and 73 edos, so it strongly resembles the scale with generator 2\145 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 115edt falls exactly halfway between 72 and 73 edos, so it strongly resembles the scale with generator 2\145 of an octave, but technically does not entirely miss 2/1 due to having a step of ~16.6¢. | ||
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| | [[116edt]] | | | [[116edt]] | ||
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| | [[118edt]] | | | [[118edt]] | ||
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| | 118edt falls exactly halfway between 74 and 75 edos, so it strongly resembles the scale with generator 2\149 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 118edt falls exactly halfway between 74 and 75 edos, so it strongly resembles the scale with generator 2\149 of an octave, but technically does not entirely miss 2/1 due to having a step of ~16.1¢. | ||
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| | [[119edt]] | | | [[119edt]] | ||
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| | [[121edt]] | | | [[121edt]] | ||
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| | 121edt falls exactly halfway between 76 and 77 edos, so it strongly resembles the scale with generator 2\153 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 121edt falls exactly halfway between 76 and 77 edos, so it strongly resembles the scale with generator 2\153 of an octave, but technically does not entirely miss 2/1 due to having a step of ~15.7¢. | ||
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| | [[122edt]] | | | [[122edt]] | ||
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| | [[126edt]] | | | [[126edt]] | ||
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| | 126edt falls exactly halfway between 79 and 80 edos, so it strongly resembles the scale with generator 2\159 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 126edt falls exactly halfway between 79 and 80 edos, so it strongly resembles the scale with generator 2\159 of an octave, but technically does not entirely miss 2/1 due to having a step of ~15.1¢. | ||
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| | [[127edt]] | | | [[127edt]] | ||
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| | [[131edt]] | | | [[131edt]] | ||
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| | 131edt falls exactly halfway between 82 and 83 edos, so it strongly resembles the scale with generator 2\165 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 131edt falls exactly halfway between 82 and 83 edos, so it strongly resembles the scale with generator 2\165 of an octave, but technically does not entirely miss 2/1 due to having a step of ~14.5¢. | ||
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| | [[132edt]] | | | [[132edt]] | ||
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| | [[134edt]] | | | [[134edt]] | ||
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| | 134edt falls exactly halfway between 84 and 85 edos, so it strongly resembles the scale with generator 2\169 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 134edt falls exactly halfway between 84 and 85 edos, so it strongly resembles the scale with generator 2\169 of an octave, but technically does not entirely miss 2/1 due to having a step of ~14.2¢. | ||
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| | [[135edt]] | | | [[135edt]] | ||
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| | [[137edt]] | | | [[137edt]] | ||
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| | 137edt falls exactly halfway between 86 and 87 edos, so it strongly resembles the scale with generator 2\173 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 137edt falls exactly halfway between 86 and 87 edos, so it strongly resembles the scale with generator 2\173 of an octave, but technically does not entirely miss 2/1 due to having a step of ~13.9¢. | ||
|- | |- | ||
| | [[138edt]] | | | [[138edt]] | ||
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| | [[142edt]] | | | [[142edt]] | ||
| | | | | | ||
| | 142edt falls exactly halfway between 89 and 90 edos, so it strongly resembles the scale with generator 2\179 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 142edt falls exactly halfway between 89 and 90 edos, so it strongly resembles the scale with generator 2\179 of an octave, but technically does not entirely miss 2/1 due to having a step of ~13.4¢. | ||
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| | [[143edt]] | | | [[143edt]] | ||
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| | [[145edt]] | | | [[145edt]] | ||
| | | | | | ||
| | 145edt falls exactly halfway between 91 and 92 edos, so it strongly resembles the scale with generator 2\183 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 145edt falls exactly halfway between 91 and 92 edos, so it strongly resembles the scale with generator 2\183 of an octave, but technically does not entirely miss 2/1 due to having a step of ~13.1¢. | ||
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| | [[146edt]] | | | [[146edt]] | ||
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| | [[148edt]] | | | [[148edt]] | ||
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| | 148edt falls exactly halfway between 93 and 94 edos, so it strongly resembles the scale with generator 2\187 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 148edt falls exactly halfway between 93 and 94 edos, so it strongly resembles the scale with generator 2\187 of an octave, but technically does not entirely miss 2/1 due to having a step of ~12.85¢. | ||
|- | |- | ||
| | [[149edt]] | | | [[149edt]] | ||
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| | [[153edt]] | | | [[153edt]] | ||
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| | 153edt falls exactly halfway between 96 and 97 edos, so it strongly resembles the scale with generator 2\193 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 153edt falls exactly halfway between 96 and 97 edos, so it strongly resembles the scale with generator 2\193 of an octave, but technically does not entirely miss 2/1 due to having a step of ~12.4¢ or smaller. | ||
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| | [[154edt]] | | | [[154edt]] | ||
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| | [[161edt]] | | | [[161edt]] | ||
| | | | | | ||
| | 161edt falls exactly halfway between 101 and 102 edos, so it strongly resembles the scale with generator 2\203 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 161edt falls exactly halfway between 101 and 102 edos, so it strongly resembles the scale with generator 2\203 of an octave, but technically does not entirely miss 2/1 due to having a step of ~11.8¢. | ||
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| | [[162edt]] | | | [[162edt]] | ||
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| | [[167edt]] | | | [[167edt]] | ||
| | | | | | ||
| | 167edt falls exactly halfway between 105 and 106 edos, so it strongly resembles the scale with generator 2\211 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 167edt falls exactly halfway between 105 and 106 edos, so it strongly resembles the scale with generator 2\211 of an octave, but technically does not entirely miss 2/1 due to having a step of ~11.4¢. | ||
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| | [[168edt]] | | | [[168edt]] | ||
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| | [[169edt]] | | | [[169edt]] | ||
| | | | | | ||
| | 169edt falls exactly halfway between 106 and 107 edos, so it strongly resembles the scale with generator 2\213 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 169edt falls exactly halfway between 106 and 107 edos, so it strongly resembles the scale with generator 2\213 of an octave, but technically does not entirely miss 2/1 due to having a step of ~11.25¢. | ||
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| | [[170edt]] | | | [[170edt]] | ||
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| | [[172edt]] | | | [[172edt]] | ||
| | | | | | ||
| | 172edt falls exactly halfway between 108 and 109 edos, so it strongly resembles the scale with generator 2\217 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 172edt falls exactly halfway between 108 and 109 edos, so it strongly resembles the scale with generator 2\217 of an octave, but technically does not entirely miss 2/1 due to having a step of ~11.1¢. | ||
|- | |- | ||
| | [[173edt]] | | | [[173edt]] | ||
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| | [[183edt]] | | | [[183edt]] | ||
| | | | | | ||
| | 183edt falls exactly halfway between 115 and 116 edos, so it strongly resembles the scale with generator 2\231 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 183edt falls exactly halfway between 115 and 116 edos, so it strongly resembles the scale with generator 2\231 of an octave, but technically does not entirely miss 2/1 due to having a step of ~10.4¢. | ||
|- | |- | ||
| | [[184edt]] | | | [[184edt]] | ||
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| | [[191edt]] | | | [[191edt]] | ||
| | | | | | ||
| | 191edt falls exactly halfway between 120 and 121 edos, so it strongly resembles the scale with generator 2\241 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 191edt falls exactly halfway between 120 and 121 edos, so it strongly resembles the scale with generator 2\241 of an octave, but technically does not entirely miss 2/1 due to having a step of ~9.96¢. | ||
|- | |- | ||
| | [[192edt]] | | | [[192edt]] | ||
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| | [[199edt]] | | | [[199edt]] | ||
| | | | | | ||
| | 199edt falls exactly halfway between 125 and 126 edos, so it strongly resembles the scale with generator 2\251 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 199edt falls exactly halfway between 125 and 126 edos, so it strongly resembles the scale with generator 2\251 of an octave, but technically does not entirely miss 2/1 due to having a step of ~9.56¢. | ||
|- | |- | ||
| | [[200edt]] | | | [[200edt]] | ||
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| | [[202edt]] | | | [[202edt]] | ||
| | | | | | ||
| | 202edt falls exactly halfway between 127 and 128 edos, so it strongly resembles the scale with generator 2\255 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 202edt falls exactly halfway between 127 and 128 edos, so it strongly resembles the scale with generator 2\255 of an octave, but technically does not entirely miss 2/1 due to having a step of ~9.42¢ or smaller. | ||
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| | [[203edt]] | | | [[203edt]] | ||
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| | [[207edt]] | | | [[207edt]] | ||
| | | | | | ||
| | 207edt falls exactly halfway between 130 and 131 edos, so it strongly resembles the scale with generator 2\261 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 207edt falls exactly halfway between 130 and 131 edos, so it strongly resembles the scale with generator 2\261 of an octave, but technically does not entirely miss 2/1 due to having a step of ~9.19¢. | ||
|- | |- | ||
| | [[208edt]] | | | [[208edt]] | ||
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| | [[210edt]] | | | [[210edt]] | ||
| | | | | | ||
| | 210edt falls exactly halfway between 132 and 133 edos, so it strongly resembles the scale with generator 2\265 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 210edt falls exactly halfway between 132 and 133 edos, so it strongly resembles the scale with generator 2\265 of an octave, but technically does not entirely miss 2/1 due to having a step of ~9.06¢. | ||
|- | |- | ||
| | [[211edt]] | | | [[211edt]] | ||
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| | [[213edt]] | | | [[213edt]] | ||
| | | | | | ||
| | 213edt falls exactly halfway between 134 and 135 edos, so it strongly resembles the scale with generator 2\269 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 213edt falls exactly halfway between 134 and 135 edos, so it strongly resembles the scale with generator 2\269 of an octave, but technically does not entirely miss 2/1 due to having a step of ~8.92¢ | ||
|- | |- | ||
| | [[214edt]] | | | [[214edt]] | ||
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| | [[215edt]] | | | [[215edt]] | ||
| | | | | | ||
| | 215edt falls exactly halfway between 135 and 136 edos, so it strongly resembles the scale with generator 2\271 of an octave, but technically does not entirely miss 2/1 due to having a step | | | 215edt falls exactly halfway between 135 and 136 edos, so it strongly resembles the scale with generator 2\271 of an octave, but technically does not entirely miss 2/1 due to having a step of ~8.85¢. | ||
|- | |- | ||
| | [[216edt]] | | | [[216edt]] | ||
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| [[218edt]] | | [[218edt]] | ||
| | | | ||
| 218edt falls exactly halfway between 137 and 138 edos, so it strongly resembles the scale with generator 2\275 of an octave, but technically does not entirely miss 2/1 due to having a step | | 218edt falls exactly halfway between 137 and 138 edos, so it strongly resembles the scale with generator 2\275 of an octave, but technically does not entirely miss 2/1 due to having a step of ~8.725¢ or smaller. | ||
|- | |- | ||
| [[219edt]] | | [[219edt]] | ||
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| [[221edt]] | | [[221edt]] | ||
| | | | ||
| 221edt falls exactly halfway between 139 and 140 edos, so it strongly resembles the scale with generator 2\279 of an octave, but technically does not entirely miss 2/1 due to having a step | | 221edt falls exactly halfway between 139 and 140 edos, so it strongly resembles the scale with generator 2\279 of an octave, but technically does not entirely miss 2/1 due to having a step of ~8.61¢. | ||
|- | |- | ||
| | [[222edt]] | | | [[222edt]] | ||
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| [[226edt]] | | [[226edt]] | ||
| | | | ||
| 226edt falls exactly halfway between 142 and 143 edos, so it strongly resembles the scale with generator 2\285 of an octave, but technically does not entirely miss 2/1 due to having a step | | 226edt falls exactly halfway between 142 and 143 edos, so it strongly resembles the scale with generator 2\285 of an octave, but technically does not entirely miss 2/1 due to having a step of ~8.42¢. | ||
|- | |- | ||
| [[227edt]] | | [[227edt]] | ||
| Line 1,280: | Line 1,280: | ||
| [[229edt]] | | [[229edt]] | ||
| | | | ||
| 229edt falls exactly halfway between 144 and 145 edos, so it strongly resembles the scale with generator 2\279 of an octave, but technically does not entirely miss 2/1 due to having a step | | 229edt falls exactly halfway between 144 and 145 edos, so it strongly resembles the scale with generator 2\279 of an octave, but technically does not entirely miss 2/1 due to having a step of ~8.305¢. | ||
|- | |- | ||
| | [[230edt]] | | | [[230edt]] | ||
| Line 1,323: | Line 1,323: | ||
| [[240edt]] | | [[240edt]] | ||
| | | | ||
| 240edt falls exactly halfway between 151 and 152 edos, so it strongly resembles the scale with generator 2\303 of an octave, but technically does not entirely miss 2/1 due to having a step | | 240edt falls exactly halfway between 151 and 152 edos, so it strongly resembles the scale with generator 2\303 of an octave, but technically does not entirely miss 2/1 due to having a step of ~7.925¢. | ||
|- | |- | ||
| | [[241edt]] | | | [[241edt]] | ||
| Line 1,342: | Line 1,342: | ||
| [[245edt]] | | [[245edt]] | ||
| | | | ||
|245edt falls exactly halfway between 154 and 155 edos, so it strongly resembles the scale with generator 2\309 of an octave, but technically does not entirely miss 2/1 due to having a step | |245edt falls exactly halfway between 154 and 155 edos, so it strongly resembles the scale with generator 2\309 of an octave, but technically does not entirely miss 2/1 due to having a step of ~7.76¢. | ||
|- | |- | ||
| [[246edt]] | | [[246edt]] | ||
| Line 1,354: | Line 1,354: | ||
| [[248edt]] | | [[248edt]] | ||
| | | | ||
| 248edt falls exactly halfway between 156 and 157 edos, so it strongly resembles the scale with generator 2\313 of an octave, but technically does not entirely miss 2/1 due to having a step | | 248edt falls exactly halfway between 156 and 157 edos, so it strongly resembles the scale with generator 2\313 of an octave, but technically does not entirely miss 2/1 due to having a step of ~7.67¢. | ||
|- | |- | ||
| | [[249edt]] | | | [[249edt]] | ||
| | [[157edo]] | | | [[157edo]] | ||
| | | | |249edt is 157edo with ~.775 cent compressed octaves. | ||
|- | |- | ||
| [[250edt]] | | [[250edt]] | ||
| Line 1,380: | Line 1,380: | ||
* [[Consistency levels of small EDTs]] | * [[Consistency levels of small EDTs]] | ||
* [[Tritave Reduced Harmonics]] | * [[Tritave Reduced Harmonics]] | ||
* Heinz Bohlen's work: http://www.huygens-fokker.org/bpsite/otherscales.html | * Heinz Bohlen's work: http://www.huygens-fokker.org/bpsite/otherscales.html [[Category:Edt| ]] <!-- main article --> | ||
[[Category:3/1]] | [[Category:3/1]] | ||
[[category:nonoctave]] | [[category:nonoctave]] | ||