EDT: Difference between revisions
recat |
|||
| Line 426: | Line 426: | ||
| | [[72edt]] | | | [[72edt]] | ||
| | | | | | ||
| | 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. | | | ''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.'' | ||
|- | |- | ||
| | [[73edt]] | | | [[73edt]] | ||
| Line 445: | Line 445: | ||
| | [[77edt]] | | | [[77edt]] | ||
| | | | | | ||
| | 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¢. | | | ''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¢.'' | ||
|- | |- | ||
| | [[78edt]] | | | [[78edt]] | ||
| Line 690: | Line 690: | ||
| | [[139edt]] | | | [[139edt]] | ||
| | | | | | ||
| | 139edt is 88edo with a ~4.1 cent stretched octave, but also 175ed4 with a ~5.55 cent compressed 4/1. | | | ''139edt is 88edo with a ~4.1 cent stretched octave, but also 175ed4 with a ~5.55 cent compressed 4/1.'' | ||
|- | |- | ||
| | [[140edt]] | | | [[140edt]] | ||
| | | | | | ||
| | Same ~4.5 cent octave compression as 35edt~22edo, but actually equally strongly resembles the scale with generator 2\177 of an octave. | | | ''Same ~4.5 cent octave compression as 35edt~22edo, but actually equally strongly resembles the scale with generator 2\177 of an octave.'' | ||
|- | |- | ||
| | [[141edt]] | | | [[141edt]] | ||
| Line 734: | Line 734: | ||
| | [[150edt]] | | | [[150edt]] | ||
| | | | | | ||
| | Same ~4.6 cent octave stretch as 30edt~19edo, but actually equally strongly resembles the scale with generator 2\189 of an octave. | | | ''Same ~4.6 cent octave stretch as 30edt~19edo, but actually equally strongly resembles the scale with generator 2\189 of an octave.'' | ||
|- | |- | ||
| | [[151edt]] | | | [[151edt]] | ||
| | | | | | ||
| | 151edt is 95edo with a ~3.4 cent compressed octave, but also 191ed4 with a ~5.7 cent stretched 4/1. | | | ''151edt is 95edo with a ~3.4 cent compressed octave, but also 191ed4 with a ~5.7 cent stretched 4/1.'' | ||
|- | |- | ||
| | [[152edt]] | | | [[152edt]] | ||
| Line 766: | Line 766: | ||
| | [[158edt]] | | | [[158edt]] | ||
| | | | | | ||
| | Same ~3.6 cent octave stretch as 79edt~50edo, but actually equally strongly resembles the scale with generator 2\199 of an octave. | | | ''Same ~3.6 cent octave stretch as 79edt~50edo, but actually equally strongly resembles the scale with generator 2\199 of an octave.'' | ||
|- | |- | ||
| | [[159edt]] | | | [[159edt]] | ||
| | | | | | ||
| | 159edt is 100edo with a ~3.8 cent compressed octave, but also 201ed4 with a ~4.4 cent stretched 4/1. | | | ''159edt is 100edo with a ~3.8 cent compressed octave, but also 201ed4 with a ~4.4 cent stretched 4/1.'' | ||
|- | |- | ||
| | [[160edt]] | | | [[160edt]] | ||
| Line 790: | Line 790: | ||
|[[164edt]] | |[[164edt]] | ||
| | | | ||
|Same ~6.1 cent octave stretch as 41edt~26edo, but actually more strongly resembles the scale with generator 2\207 of an octave. | |''Same ~6.1 cent octave stretch as 41edt~26edo, but actually more strongly resembles the scale with generator 2\207 of an octave.'' | ||
|- | |- | ||
| | [[165edt]] | | | [[165edt]] | ||
| Line 834: | Line 834: | ||
| | [[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 842: | Line 842: | ||
| | [[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 854: | Line 854: | ||
| | [[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]] | ||
| Line 878: | Line 878: | ||
| | [[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 910: | Line 910: | ||
| | [[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 918: | Line 918: | ||
| | [[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 950: | Line 950: | ||
| | [[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 1,068: | Line 1,068: | ||
| [[234edt]] | | [[234edt]] | ||
| | | | ||
| Same ~2.95 cent octave stretch as 117edt~74edo, but actually more strongly resembles the scale with generator 2\295 of an octave. | | ''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]] | ||
| | | | ||
| 235edt is 148edo with a ~2.2 cent compressed octave, but also 297ed4 with a ~3.75 cent stretched 4/1. | | ''235edt is 148edo with a ~2.2 cent compressed octave, but also 297ed4 with a ~3.75 cent stretched 4/1.'' | ||
|- | |- | ||
| | [[236edt]] | | | [[236edt]] | ||
| Line 1,080: | Line 1,080: | ||
| [[237edt]] | | [[237edt]] | ||
| | | | ||
| Same ~3.8 cent octave stretch as 79edt~50edo, but actually more strongly resembles the scale with generator 2/299 of an octave. | | ''Same ~3.8 cent octave stretch as 79edt~50edo, but actually more strongly resembles the scale with generator 2/299 of an octave.'' | ||
|- | |- | ||
| [[238edt]] | | [[238edt]] | ||
| Line 1,106: | Line 1,106: | ||
|- | |- | ||
| | [[244edt]] | | | [[244edt]] | ||
| | [[154edo]] | | | [[154edo|''154edo'']] | ||
| |Same ~0.41 cent | | |''Same ~0.41 cent octAae stretch as 122edt~77edo, but actually do not start matching patent vals until 7.'' | ||
|- | |- | ||
| [[245edt]] | | [[245edt]] | ||
| Line 1,131: | Line 1,131: | ||
| [[250edt]] | | [[250edt]] | ||
| | | | ||
| Same ~2 cent octave stretch as 125edt~79edo, but actually more strongly resembles the scale with generator 2\315 of an octave. | | ''Same ~2 cent octave stretch as 125edt~79edo, but actually more strongly resembles the scale with generator 2\315 of an octave.'' | ||
|- | |- | ||
| [[251edt]] | | [[251edt]] | ||
| | | | ||
| 251edt is 158edo with a ~2.8 cent compressed octave, but also 317ed4 with a ~2.1 cent stretched 4/1. | | ''251edt is 158edo with a ~2.8 cent compressed octave, but also 317ed4 with a ~2.1 cent stretched 4/1.'' | ||
|- | |- | ||
| | [[252edt]] | | | [[252edt]] | ||
| Line 1,151: | Line 1,151: | ||
* [[Tritave Reduced Harmonics]] | * [[Tritave Reduced Harmonics]] | ||
* [[No-twos 31-limit]] | * [[No-twos 31-limit]] | ||
* 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:Equal-step tuning]] | [[Category:Equal-step tuning]] | ||