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| | [[77edt]]
| | [[77edt]]
| |  
| |  
| | 77edt falls exactly halfway between 48 and 49 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\97 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[78edt]]
| | [[78edt]]
Line 688: Line 688:
| | [[80edt]]
| | [[80edt]]
| |  
| |  
| | 80edt falls exactly halfway between 50 and 51 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\101 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[81edt]]
| | [[81edt]]
Line 700: Line 700:
| | [[83edt]]
| | [[83edt]]
| |  
| |  
| | 83edt falls exactly halfway between 50 and 51 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\105 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[84edt]]
| | [[84edt]]
Line 708: Line 708:
| | [[85edt]]
| | [[85edt]]
| |  
| |  
| | 85edt falls exactly halfway between 53 and 54 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\107 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[86edt]]
| | [[86edt]]
Line 720: Line 720:
| | [[88edt]]
| | [[88edt]]
| |  
| |  
| | 88edt falls exactly halfway between 55 and 56 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\111 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[89edt]]
| | [[89edt]]
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| | [[91edt]]
| | [[91edt]]
| |  
| |  
| | 91edt falls exactly halfway between 57 and 58 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\115 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[92edt]]
| | [[92edt]]
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| | [[96edt]]
| | [[96edt]]
| |  
| |  
| | 96edt falls exactly halfway between 60 and 61 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\121 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[97edt]]
| | [[97edt]]
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| | [[99edt]]
| | [[99edt]]
| |  
| |  
| | 99edt falls exactly halfway between 62 and 63 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\125 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[100edt]]
| | [[100edt]]
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| | [[104edt]]
| | [[104edt]]
| |  
| |  
| | 104edt falls exactly halfway between 65 and 66 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\131 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[105edt]]
| | [[105edt]]
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| | [[107edt]]
| | [[107edt]]
| |  
| |  
| | 107edt falls exactly halfway between 67 and 68 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\135 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[108edt]]
| | [[108edt]]
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| | [[110edt]]
| | [[110edt]]
| |  
| |  
| | 110edt falls exactly halfway between 69 and 70 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\139 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[111edt]]
| | [[111edt]]
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| | [[115edt]]
| | [[115edt]]
| |  
| |  
| | 115edt falls exactly halfway between 72 and 73 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\145 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[116edt]]
| | [[116edt]]
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| | [[118edt]]
| | [[118edt]]
| |  
| |  
| | 118edt falls exactly halfway between 74 and 75 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\149 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[119edt]]
| | [[119edt]]
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| | [[121edt]]
| | [[121edt]]
| |  
| |  
| | 121edt falls exactly halfway between 76 and 77 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\153 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[122edt]]
| | [[122edt]]
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| | [[125edt]]
| | [[125edt]]
| | [[79edo]]
| | [[79edo]]
| | 125edt is 79edo with ~2.0 cent stretched octaves. Patent vals match through the 13-limit, with the exception of 7.
| | 125edt is 79edo with ~2 cent stretched octaves. Patent vals match through the 13-limit, with the exception of 7.
|-
|-
| | [[126edt]]
| | [[126edt]]
| |  
| |  
| | 126edt falls exactly halfway between 79 and 80 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\159 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[127edt]]
| | [[127edt]]
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| | [[131edt]]
| | [[131edt]]
| |  
| |  
| | 131edt falls exactly halfway between 82 and 83 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\165 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[132edt]]
| | [[132edt]]
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| | [[134edt]]
| | [[134edt]]
| |  
| |  
| | 134edt falls exactly halfway between 84 and 85 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\169 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[135edt]]
| | [[135edt]]
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| | [[137edt]]
| | [[137edt]]
| |  
| |  
| | 137edt falls exactly halfway between 86 and 87 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\173 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[138edt]]
| | [[138edt]]
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| | [[142edt]]
| | [[142edt]]
| |  
| |  
| | 142edt falls exactly halfway between 89 and 90 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\179 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[143edt]]
| | [[143edt]]
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| | [[145edt]]
| | [[145edt]]
| |  
| |  
| | 145edt falls exactly halfway between 91 and 92 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\183 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[146edt]]
| | [[146edt]]
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| | [[148edt]]
| | [[148edt]]
| |  
| |  
| | 148edt falls exactly halfway between 93 and 94 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\187 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[149edt]]
| | [[149edt]]
Line 977: Line 977:
| | [[153edt]]
| | [[153edt]]
| |  
| |  
| | 153edt falls exactly halfway between 96 and 97 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\193 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[154edt]]
| | [[154edt]]
Line 1,009: Line 1,009:
| | [[161edt]]
| | [[161edt]]
| |  
| |  
| | 161edt falls exactly halfway between 101 and 102 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\203 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[162edt]]
| | [[162edt]]
Line 1,033: Line 1,033:
| | [[167edt]]
| | [[167edt]]
| |  
| |  
| | 167edt falls exactly halfway between 105 and 106 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\211 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[168edt]]
| | [[168edt]]
Line 1,041: Line 1,041:
| | [[169edt]]
| | [[169edt]]
| |  
| |  
| | 169edt falls exactly halfway between 106 and 107 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\213 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[170edt]]
| | [[170edt]]
Line 1,053: Line 1,053:
| | [[172edt]]
| | [[172edt]]
| |  
| |  
| | 172edt falls exactly halfway between 108 and 109 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\217 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[173edt]]
| | [[173edt]]
Line 1,097: Line 1,097:
| | [[183edt]]
| | [[183edt]]
| |  
| |  
| | 183edt falls exactly halfway between 115 and 116 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\231 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[184edt]]
| | [[184edt]]
Line 1,129: Line 1,129:
| | [[191edt]]
| | [[191edt]]
| |  
| |  
| | 191edt falls exactly halfway between 120 and 121 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\241 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[192edt]]
| | [[192edt]]
Line 1,161: Line 1,161:
| | [[199edt]]
| | [[199edt]]
| |  
| |  
| | 199edt falls exactly halfway between 125 and 126 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\251 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[200edt]]
| | [[200edt]]
Line 1,173: Line 1,173:
| | [[202edt]]
| | [[202edt]]
| |  
| |  
| | 202edt falls exactly halfway between 127 and 128 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\255 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[203edt]]
| | [[203edt]]
Line 1,193: Line 1,193:
| | [[207edt]]
| | [[207edt]]
| |  
| |  
| | 207edt falls exactly halfway between 130 and 131 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\261 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[208edt]]
| | [[208edt]]
Line 1,205: Line 1,205:
| | [[210edt]]
| | [[210edt]]
| |  
| |  
| | 210edt falls exactly halfway between 132 and 133 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\265 of an octave.
| | 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 26¢ or smaller.
|-
|-
| | [[211edt]]
| | [[211edt]]
Line 1,217: Line 1,217:
| | [[213edt]]
| | [[213edt]]
| |  
| |  
| | 213edt falls exactly halfway between 134 and 135 edos. It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\269 of an octave.
| | 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 26¢ or smaller
|-
|-
| | [[214edt]]
| | [[214edt]]
Line 1,225: Line 1,225:
| | [[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 26¢ or smaller.
|-
|-
| | [[216edt]]
| | [[216edt]]
Line 1,234: Line 1,234:
| | [[137edo]]
| | [[137edo]]
| | 217edt is 137edo with ~0.77 cent stretched octaves.
| | 217edt is 137edo with ~0.77 cent stretched octaves.
|-
|[[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 26¢ or smaller.
|-
|[[219edt]]
|[[138edo]]
|Same ~1.5 cent octave compression as 73edt~46edo.
|-
|[[220edt]]
|[[139edo]]
|220edt is 139edo with ~1.6 cent stretched octaves
|-
|[[221edt]]
|
|218edt 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 26¢ or smaller..
|-
|-
| | [[222edt]]
| | [[222edt]]
| | [[140edo]]
| | [[140edo]]
| |  
| |Same ~0.57 cent octave compression as 111edt~70edo
|-
|[[223edt]]
|
| rowspan="2" |Neither 223edt nor 224edt is equivalent to 141edo.
|-
|[[224edt]]
|
|-
|-
| | [[225edt]]
| | [[225edt]]
| | [[142edo]]
| | [[142edo]]
| |  
| |225edt is 142edo with ~0.345 cent stretched octaves.
|-
|[[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 26¢ or smaller.
|-
|[[227edt]]
|[[143edo]]
|227edt is 143edo with ~1.85 cent compressed octaves.
|-
|-
| | [[228edt]]
| | [[228edt]]
| | [[144edo]]
| | [[144edo]]
| |  
| | Same ~1.2 cent octave stretch as 19edt~12edo.
|-
|[[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 26¢ or smaller.
|-
|-
| | [[230edt]]
| | [[230edt]]
| | [[145edo]]
| | [[145edo]]
| |  
| | Same ~0.94 cent octave compression as 46edt~29edo.
|-
|[[231edt]]
|
| rowspan="2" |Neither 231edt nor 232edt is equivalent to 146edo.
|-
|[[232edt]]
|
|-
|-
| | [[233edt]]
| | [[233edt]]
| | [[147edo]]
| | [[147edo]]
| |  
| |233edt is 147edo with ~.05 cent compressed octaves.
|-
|[[234edt]]
|
|Same ~2.95 cent octave stretch as 117edt~74edo, but actually more strongly resembles the scale with generator 2\295 of an octave.
|-
|[[235edt]]
|
|235edt is 148edo with a ~2.2 cent compressed octave, but also 297ed4 with a ~3.75 cent stretched 4/1.
|-
|-
| | [[236edt]]
| | [[236edt]]
| | [[149edo]]
| | [[149edo]]
| |  
| |236edt is 149edo with a ~0.81 cent stretched octave
|-
|[[237edt]]
|
|Same ~3.8 cent octave stretch as 79edt~50edo, but actually more strongly resembles the scale with generator 2/299 of an octave.
|-
|[[238edt]]
|[[150edo]]
|Same ~1.9 cent octave compression as 119edt~75edo, but actually do not start matching patent vals until 11.
|-
|[[239edt]]
|[[151edo]]
|239edt is 151edo with ~1.65 cent stretched octaves.
|-
|[[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 26¢ or smaller.
|-
|-
| | [[241edt]]
| | [[241edt]]
| | [[152edo]]
| | [[152edo]]
| |  
| |241edt is 152edo with ~0.43 cent compressed octaves.
|-
|[[242edt]]
|
| rowspan="2" |Neither 242edt nor 243edt is equivalent to 153edo.
|-
|[[243edt]]
|
|-
|-
| | [[244edt]]
| | [[244edt]]
| | [[154edo]]
| | [[154edo]]
| |  
| |Same ~0.41 cent octAve stretch as 122edt~77edo, but actually do not start matching patent vals until 7.
|-
|[[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 26¢ or smaller.
|-
|[[246edt]]
|[[155edo]]
|246edt is 155edo with ~1.6 cent compressed octaves.
|-
|[[247edt]]
|[[156edo]]
|Same ~1.2 cent octave stretch as 19edt~12edo.
|-
|[[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 26¢ or smaller.
|-
|-
| | [[249edt]]
| | [[249edt]]
| | [[157edo]]
| | [[157edo]]
| |  
| |  
|-
|[[250edt]]
|
|Same ~2 cent octave stretch as 125edt~79edo, but actually more strongly resembles the scale with generator 2\315 of an octave.
|-
|[[251edt]]
|
|251edt is 158edo with a ~2.8 cent compressed octave, but also 317ed4 with a ~2.1 cent stretched 4/1.
|-
|-
| | [[252edt]]
| | [[252edt]]
| | [[159edo]]
| | [[159edo]]
| |  
| | Same ~0.04 cent octave stretch as 84edt~53edo.
|}
|}


Line 1,283: 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   [[Category:Edt| ]] <!-- main article -->
* 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]]
Retrieved from "https://en.xen.wiki/w/EDT"