EDT: Difference between revisions

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Line 1,007: Line 1,007:
| | 160edt is 101edo with ~0.61 cent stretched octaves.
| | 160edt is 101edo with ~0.61 cent stretched octaves.
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|-
|[[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. 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.
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|-
|[[162edt]]
| | [[162edt]]
|[[102edo]]
| | [[102edo]]
|Same ~2.5 cent octave compression as 27edt~17edo. Patent vals match through the 5-limit.
| | Same ~2.5 cent octave compression as 27edt~17edo. Patent vals match through the 5-limit.
|-
|-
|[[163edt]]
| | [[163edt]]
|[[103edo]]
| | [[103edo]]
|163edt is 103edo with ~1.85 cent stretched octaves
| | 163edt is 103edo with ~1.85 cent stretched octaves.
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|-
|[[164edt]]
|[[164edt]]
Line 1,027: Line 1,027:
| | 165edt is 104edo with ~1.2 cent compressed octaves.
| | 165edt is 104edo with ~1.2 cent compressed octaves.
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|-
|[[166edt]]
| | [[166edt]]
|[[105edo]]
| | [[105edo]]
|166edt is 105edo with ~3 cent stretched octaves.  
| | 166edt is 105edo with ~3 cent stretched octaves.  
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|-
|[[167edt]]
| | [[167edt]]
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| |  
|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. 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.
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|-
| | [[168edt]]
| | [[168edt]]
Line 1,039: Line 1,039:
| | Same ~0.04 cent octave stretch as 84edt~53edo.
| | Same ~0.04 cent octave stretch as 84edt~53edo.
|-
|-
|[[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. 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.
|-
|-
|[[170edt]]
| | [[170edt]]
|[[107edo]]
| | [[107edo]]
|170edt is 107edo with ~2.9 cent compressed octaves.
| | 170edt is 107edo with ~2.9 cent compressed octaves.
|-
|-
| | [[171edt]]
| | [[171edt]]
Line 1,051: Line 1,051:
| | Same ~1.2 cent octave stretch as 19edt~12edo.
| | Same ~1.2 cent octave stretch as 19edt~12edo.
|-
|-
|[[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. 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.
|-
|-
| | [[173edt]]
| | [[173edt]]
Line 1,059: Line 1,059:
| | 173edt is 109edo with ~1.7 cent compressed octaves.
| | 173edt is 109edo with ~1.7 cent compressed octaves.
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|-
|[[174edt]]
| | [[174edt]]
|[[110edo]]
| | [[110edo]]
|174edt is 110edo with ~2.4 cent stretched octaves.
| | 174edt is 110edo with ~2.4 cent stretched octaves.
|-
|-
|[[175edt]]
| | [[175edt]]
|
| |  
|Same ~4.5 cent octave compression as 35edt~22edo, but actually more strongly resembles the scale with generator 2\221 of an octave.
| | Same ~4.5 cent octave compression as 35edt~22edo, but actually more strongly resembles the scale with generator 2\221 of an octave.
|-
|-
| | [[176edt]]
| | [[176edt]]
Line 1,071: Line 1,071:
| | 176edt is 111edo with ~0.47 cent compressed octaves.
| | 176edt is 111edo with ~0.47 cent compressed octaves.
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|-
|[[177edt]]
| | [[177edt]]
|
| |  
|177edt is 112edo with a ~3.5 cent compressed octave, but also 223ed4 with a ~3.75 cent compressed 4/1.
| | 177edt is 112edo with a ~3.5 cent compressed octave, but also 223ed4 with a ~3.75 cent compressed 4/1.
|-
|-
|[[178edt]]
| | [[178edt]]
|
| |  
|Same ~3.3 cent octave stretch as 89edt~56edo, but actually more strongly resembles the scale with generator 2\225 of an octave.
| | Same ~3.3 cent octave stretch as 89edt~56edo, but actually more strongly resembles the scale with generator 2\225 of an octave.
|-
|-
| | [[179edt]]
| | [[179edt]]
Line 1,083: Line 1,083:
| | 179edt is 113edo with ~0.68 cent stretched octaves.
| | 179edt is 113edo with ~0.68 cent stretched octaves.
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|-
|[[180edt]]
| | [[180edt]]
|
| |  
|Same ~4.6 cent octave stretch as 30edt~19edo, but actually more strongly resembles the scale with generator 2\227 of an octave.
| | Same ~4.6 cent octave stretch as 30edt~19edo, but actually more strongly resembles the scale with generator 2\227 of an octave.
|-
|-
|[[181edt]]
| | [[181edt]]
|[[114edo]]
| | [[114edo]]
|181edt is 114edo with ~2.1 cent compressed octaves
| | 181edt is 114edo with ~2.1 cent compressed octaves.
|-
|-
|[[182edt]]
| | [[182edt]]
|[[115edo]]
| | [[115edo]]
|182edt is 115edo with ~1.8 cent stretched octaves
| | 182edt is 115edo with ~1.8 cent stretched octaves.
|-
|-
|[[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. 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.
|-
|-
| | [[184edt]]
| | [[184edt]]
Line 1,103: Line 1,103:
| | Same ~0.94 cent octave compression as 46edt~29edo.
| | Same ~0.94 cent octave compression as 46edt~29edo.
|-
|-
|[[185edt]]
| | [[185edt]]
|[[117edo]]
| | [[117edo]]
|185edt is 117edo with a ~2.9 cent stretched octave.
| | 185edt is 117edo with a ~2.9 cent stretched octave.
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|-
|[[186edt]]
| | [[186edt]]
|
| |  
|Same ~3.6 cent octave compression as 62edt~39edo, but actually more strongly resembles the scale with generator 2\235 of an octave.
| | Same ~3.6 cent octave compression as 62edt~39edo, but actually more strongly resembles the scale with generator 2\235 of an octave.
|-
|-
| | [[187edt]]
| | [[187edt]]
Line 1,115: Line 1,115:
| | 187edt is 118edo with ~0.16 cent stretched octaves.
| | 187edt is 118edo with ~0.16 cent stretched octaves.
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|-
|[[188edt]]
| | [[188edt]]
|
| |  
|188edt is 119edo with ~3.9 cent stretched octaves, but also 237ed4 with an ~2.3 cent compressed 4/1.
| | 188edt is 119edo with ~3.9 cent stretched octaves, but also 237ed4 with an ~2.3 cent compressed 4/1.
|-
|-
|[[189edt]]
| | [[189edt]]
|[[119edo]]
| | [[119edo]]
|Same ~2.5 cent octave compression as 27edt~17edo, but there is a lot of mismatch between the pure-octave and pure-tritave tunings. Patent vals differ in the 5-limit.
| | Same ~2.5 cent octave compression as 27edt~17edo, but there is a lot of mismatch between the pure-octave and pure-tritave tunings. Patent vals differ in the 5-limit.
|-
|-
| | [[190edt]]
| | [[190edt]]
Line 1,127: Line 1,127:
| | Same ~1.2 cent octave stretch as 19edt~12edo.
| | Same ~1.2 cent octave stretch as 19edt~12edo.
|-
|-
|[[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. 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.
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|-
| | [[192edt]]
| | [[192edt]]
Line 1,135: Line 1,135:
| | 192edt is 121edo with ~1.4 cent compressed octaves.
| | 192edt is 121edo with ~1.4 cent compressed octaves.
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|-
|[[193edt]]
| | [[193edt]]
|[[122edo]]
| | [[122edo]]
|193edt is 122edo with ~2.3 cent stretched octaves.
| | 193edt is 122edo with ~2.3 cent stretched octaves.
|-
|-
|[[194edt]]
| | [[194edt]]
|
| |  
|Same ~3.9 cent octave compression as 97edt~61edo, but actually more strongly resembles the scale with generator 2\245 of an octave.
| | Same ~3.9 cent octave compression as 97edt~61edo, but actually more strongly resembles the scale with generator 2\245 of an octave.
|-
|-
| | [[195edt]]
| | [[195edt]]
Line 1,147: Line 1,147:
| | Same ~0.31 cent octave compression as 65edt~41edo.
| | Same ~0.31 cent octave compression as 65edt~41edo.
|-
|-
|[[196edt]]
| | [[196edt]]
|
| |  
|Same ~3.3 cent octave compression as 49edt~31edo, but actually more strongly resembles the scale with generator 2\247 of an octave.
| | Same ~3.3 cent octave compression as 49edt~31edo, but actually more strongly resembles the scale with generator 2\247 of an octave.
|-
|-
|[[197edt]]
| | [[197edt]]
|
| |  
|197edt is 124edo with a ~2.9 cent compressed octave, but also 249ed4 with a ~4 cent stretched 4/1.
| | 197edt is 124edo with a ~2.9 cent compressed octave, but also 249ed4 with a ~4 cent stretched 4/1.
|-
|-
| | [[198edt]]
| | [[198edt]]
Line 1,159: Line 1,159:
| | 198edt is 125edo with ~0.73 cent stretched octaves.
| | 198edt is 125edo with ~0.73 cent stretched octaves.
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|-
|[[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. 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.
|-
|-
|[[200edt]]
| | [[200edt]]
|[[126edo]]
| | [[126edo]]
|Same ~1.8 cent octave compression as 100edt~63edo.
| | Same ~1.8 cent octave compression as 100edt~63edo.
|-
|-
|[[201edt]]
| | [[201edt]]
|[[127edo]]
| | [[127edo]]
|201edt is 127edo with ~1.7 cent compressed octave.
| | 201edt is 127edo with ~1.7 cent compressed octave.
|-
|-
|[[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. 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.
|-
|-
| | [[203edt]]
| | [[203edt]]
Line 1,179: Line 1,179:
| | 203edt is 128edo with ~0.74 cent compressed octaves.
| | 203edt is 128edo with ~0.74 cent compressed octaves.
|-
|-
|[[204edt]]
| | [[204edt]]
|
| |  
|Same ~2.7 cent octave stretch as 68edt~43edo, but actually more strongly resembles the scale with generator 2\257 of an octave.
| | Same ~2.7 cent octave stretch as 68edt~43edo, but actually more strongly resembles the scale with generator 2\257 of an octave.
|-
|-
|[[205edt]]
| | [[205edt]]
|
| |  
|205edt is 129edo with a ~3.2 cent compressed octave, but also 259ed4 with a ~3 cent stretched 4/1.
| | 205edt is 129edo with a ~3.2 cent compressed octave, but also 259ed4 with a ~3 cent stretched 4/1.
|-
|-
| | [[206edt]]
| | [[206edt]]
Line 1,191: Line 1,191:
| | Same ~2.4 cent octave stretch as 103edt~65edo.
| | Same ~2.4 cent octave stretch as 103edt~65edo.
|-
|-
|[[207edt]]
| | [[207edt]]
|
| |  
|205edt 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. 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.
|-
|-
|[[208edt]]
| | [[208edt]]
|[[131edo]]
| | [[131edo]]
|208edt is 131edo with ~2.1 cent compressed octaves.
| | 208edt is 131edo with ~2.1 cent compressed octaves.
|-
|-
| | [[209edt]]
| | [[209edt]]
Line 1,203: Line 1,203:
| | Same ~1.2 cent octave stretch as 19edt~12edo.
| | Same ~1.2 cent octave stretch as 19edt~12edo.
|-
|-
|[[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. 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.
|-
|-
| | [[211edt]]
| | [[211edt]]
Line 1,211: Line 1,211:
| | 211edt is 133edo with ~1.1 cent compressed octaves.
| | 211edt is 133edo with ~1.1 cent compressed octaves.
|-
|-
|[[212edt]]
| | [[212edt]]
|[[134edo]]
| | [[134edo]]
|Same ~2.2 cent octave stretch as 106edt~67edo, but patent vals surprisingly actually match through the 7-limit, though the 7s nevertheless cannot be said to match with a straight face.
|Same ~2.2 cent octave stretch as 106edt~67edo, but patent vals surprisingly actually match through the 7-limit, though the 7s nevertheless cannot be said to match with a straight face.
|-
|-
|[[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. 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.
|-
|-
| | [[214edt]]
| | [[214edt]]
Line 1,223: Line 1,223:
| | 214edt is 135edo with ~0.17 cent compressed octaves.
| | 214edt is 135edo with ~0.17 cent compressed octaves.
|-
|-
|[[215edt]]
| | [[215edt]]
|
| |  
|
| |  
|-
|-
|[[216edt]]
| | [[216edt]]
|[[136edo]]
| | [[136edo]]
|Same ~2.5 cent octave compression as 27edt~17edo. Patent vals match through the 5-limit.
| | Same ~2.5 cent octave compression as 27edt~17edo. Patent vals match through the 5-limit.
|-
|-
| | [[217edt]]
| | [[217edt]]
| | [[137edo]]
| | [[137edo]]
| | 217edt is 137edo with ~0.77 cent stretched octaves.
| | 217edt is 137edo with ~0.77 cent stretched octaves.
|-
| | [[222edt]]
| | [[140edo]]
| |
|-
| | [[225edt]]
| | [[142edo]]
| |
|-
| | [[228edt]]
| | [[144edo]]
| |
|-
| | [[230edt]]
| | [[145edo]]
| |
|-
| | [[233edt]]
| | [[147edo]]
| |
|-
| | [[236edt]]
| | [[149edo]]
| |
|-
| | [[241edt]]
| | [[152edo]]
| |
|-
| | [[244edt]]
| | [[154edo]]
| |
|-
| | [[249edt]]
| | [[157edo]]
| |
|-
| | [[252edt]]
| | [[159edo]]
| |
|}
|}


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