7edf: Difference between revisions
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clarified top row of table |
m compact form of two-line column header; added some space for better readability |
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Lookalikes: [[12edo]], [[19ED3|19ed3]], [[31ed6]] | Lookalikes: [[12edo]], [[19ED3|19ed3]], [[31ed6]] | ||
==Intervals== | |||
== Intervals == | |||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
! rowspan="2" |Scale | ! rowspan="2" | Scale<br>Degree | ||
! rowspan="2" | ''ed233\420-5¢'' | |||
Degree | ! rowspan="2" | ed31\54 | ||
! rowspan="2" |''ed233\420-5¢'' | ! rowspan="2" | ed121/81 (~ed11\19) | ||
! rowspan="2" |ed31\54 | ! rowspan="2" | ed696¢ | ||
! rowspan="2" |ed121/81 (~ed11\19) | ! rowspan="2" | ed32\55 | ||
! rowspan="2" |ed696¢ | ! rowspan="2" | [[12edo]]=''r¢'' | ||
! rowspan="2" |ed32\55 | ! rowspan="2" | ed3/2 | ||
! rowspan="2" |[[12edo]]=''r¢'' | ! colspan="2" | Pyrite | ||
! rowspan="2" |ed3/2 | ! rowspan="2" | ed708¢ | ||
! colspan="2" |Pyrite | ! rowspan="2" | ed122/81 (~ed13\22) | ||
! rowspan="2" |ed708¢ | ! rowspan="2" | ed34\57 | ||
! rowspan="2" |ed122/81 (~ed13\22) | ! rowspan="2" | ''ed37\60+5¢'' | ||
! rowspan="2" |ed34\57 | |||
! rowspan="2" |''ed37\60+5¢'' | |||
|- | |- | ||
!(~ed17\29) | ! (~ed17\29) | ||
!(~ed10\17) | ! (~ed10\17) | ||
|- | |- | ||
|1 | | 1 | ||
|''94.3878-95.102'' | | ''94.3878-95.102'' | ||
|98.4127 | | 98.4127 | ||
|99.2594 | | 99.2594 | ||
|99.4286 | | 99.4286 | ||
|99.7403 | | 99.7403 | ||
|''100'' | | ''100'' | ||
|100.2793 | | 100.2793 | ||
|100.5194 | | 100.5194 | ||
|100.8365 | | 100.8365 | ||
|101.1429 | | 101.1429 | ||
|101.295 | | 101.295 | ||
|102.2556 | | 102.2556 | ||
|''105.7143-106.4286'' | | ''105.7143-106.4286'' | ||
|- | |- | ||
|2 | | 2 | ||
|''188.7755-190.2041'' | | ''188.7755-190.2041'' | ||
|196.8254 | | 196.8254 | ||
|198.5188 | | 198.5188 | ||
|198.8571 | | 198.8571 | ||
|199.4805 | | 199.4805 | ||
|''200'' | | ''200'' | ||
|200.5586 | | 200.5586 | ||
|201.0389 | | 201.0389 | ||
|201.673 | | 201.673 | ||
|202.2857 | | 202.2857 | ||
|202.5899 | | 202.5899 | ||
|204.5113 | | 204.5113 | ||
|''211.4286-212.8571'' | | ''211.4286-212.8571'' | ||
|- | |- | ||
|3 | | 3 | ||
|''283.1633-285.3061'' | | ''283.1633-285.3061'' | ||
|295.238 | | 295.238 | ||
|297.7782 | | 297.7782 | ||
|298.2857 | | 298.2857 | ||
|299.2208 | | 299.2208 | ||
|''300'' | | ''300'' | ||
|300.8379 | | 300.8379 | ||
|301.5583 | | 301.5583 | ||
|302.5095 | | 302.5095 | ||
|303.4286 | | 303.4286 | ||
|303.8849 | | 303.8849 | ||
|306.7669 | | 306.7669 | ||
|''317.1429-319.2857'' | | ''317.1429-319.2857'' | ||
|- | |- | ||
|4 | | 4 | ||
|''377.551-380.4082'' | | ''377.551-380.4082'' | ||
|393.6508 | | 393.6508 | ||
|397.03765 | | 397.03765 | ||
|397.7143 | | 397.7143 | ||
|398.961 | | 398.961 | ||
|''400'' | | ''400'' | ||
|401.1171 | | 401.1171 | ||
|402.0777 | | 402.0777 | ||
|403.346 | | 403.346 | ||
|404.5714 | | 404.5714 | ||
|405.1799 | | 405.1799 | ||
|409.0226 | | 409.0226 | ||
|''422.8571-425.7143'' | | ''422.8571-425.7143'' | ||
|- | |- | ||
|5 | | 5 | ||
|''471.9388-475.5102'' | | ''471.9388-475.5102'' | ||
|492.0635 | | 492.0635 | ||
|496.2971 | | 496.2971 | ||
|497.1429 | | 497.1429 | ||
|498.7013 | | 498.7013 | ||
|''500'' | | ''500'' | ||
|501.3964 | | 501.3964 | ||
|502.5972 | | 502.5972 | ||
|504.1825 | | 504.1825 | ||
|505.7143 | | 505.7143 | ||
|506.4749 | | 506.4749 | ||
|511.2781 | | 511.2781 | ||
|''528.5714-532.1429'' | | ''528.5714-532.1429'' | ||
|- | |- | ||
|6 | | 6 | ||
|''566.3265-570.6122'' | | ''566.3265-570.6122'' | ||
|590.476 | | 590.476 | ||
|595.5565 | | 595.5565 | ||
|596.5714 | | 596.5714 | ||
|598.4416 | | 598.4416 | ||
|''600'' | | ''600'' | ||
|601.6757 | | 601.6757 | ||
|603.1166 | | 603.1166 | ||
|605.019 | | 605.019 | ||
|606.8571 | | 606.8571 | ||
|607.7698 | | 607.7698 | ||
|613.5338 | | 613.5338 | ||
|''634.2857-638.5714'' | | ''634.2857-638.5714'' | ||
|- | |- | ||
|7 | | 7 | ||
|''660.7143-665.714''3 | | ''660.7143-665.714''3 | ||
|688.8889 | | 688.8889 | ||
|694.8158 | | 694.8158 | ||
|696 | | 696 | ||
|698.1818 | | 698.1818 | ||
|''700'' | | ''700'' | ||
|701.955 | | 701.955 | ||
|703.636 | | 703.636 | ||
|705.85545 | | 705.85545 | ||
|708 | | 708 | ||
|709.0648 | | 709.0648 | ||
|715.7895 | | 715.7895 | ||
|''740-745'' | | ''740-745'' | ||
|- | |- | ||
|8 | | 8 | ||
|''755.102-760.8163'' | | ''755.102-760.8163'' | ||
|787.3016 | | 787.3016 | ||
|794.0753 | | 794.0753 | ||
|795.4286 | | 795.4286 | ||
|797.9221 | | 797.9221 | ||
|''800'' | | ''800'' | ||
|802.2343 | | 802.2343 | ||
|804.1555 | | 804.1555 | ||
|806.6919 | | 806.6919 | ||
|809.1429 | | 809.1429 | ||
|810.3598 | | 810.3598 | ||
|818.0451 | | 818.0451 | ||
|''845.7143-851.4286'' | | ''845.7143-851.4286'' | ||
|- | |- | ||
|9 | | 9 | ||
|''849.4898-855.9184'' | | ''849.4898-855.9184'' | ||
|885.7143 | | 885.7143 | ||
|893.3347 | | 893.3347 | ||
|894.8571 | | 894.8571 | ||
|897.6623 | | 897.6623 | ||
|''900'' | | ''900'' | ||
|902.5136 | | 902.5136 | ||
|904.6749 | | 904.6749 | ||
|907.5284 | | 907.5284 | ||
|910.2857 | | 910.2857 | ||
|911.6547 | | 911.6547 | ||
|920.30075 | | 920.30075 | ||
|''951.4286-957.8571'' | | ''951.4286-957.8571'' | ||
|- | |- | ||
|10 | | 10 | ||
|''943.8776-951.0204'' | | ''943.8776-951.0204'' | ||
|984.127 | | 984.127 | ||
|992.5941 | | 992.5941 | ||
|994.2857 | | 994.2857 | ||
|997.4126 | | 997.4126 | ||
|''1000'' | | ''1000'' | ||
|1002.7929 | | 1002.7929 | ||
|1005.1943 | | 1005.1943 | ||
|1008.3649 | | 1008.3649 | ||
|1011.4286 | | 1011.4286 | ||
|1012.9497 | | 1012.9497 | ||
|1022.5564 | | 1022.5564 | ||
|''1057.1429-1064.2857'' | | ''1057.1429-1064.2857'' | ||
|- | |- | ||
|11 | | 11 | ||
|''1038.2653-1046.12245'' | | ''1038.2653-1046.12245'' | ||
|1082.5397 | | 1082.5397 | ||
|1091.8535 | | 1091.8535 | ||
|1093.7143 | | 1093.7143 | ||
|1097.1429 | | 1097.1429 | ||
|''1100'' | | ''1100'' | ||
|1103.0721 | | 1103.0721 | ||
|1105.7138 | | 1105.7138 | ||
|1109.2014 | | 1109.2014 | ||
|1112.5714 | | 1112.5714 | ||
|1114.2447 | | 1114.2447 | ||
|1124.812 | | 1124.812 | ||
|''1162.8571-1170.7143'' | | ''1162.8571-1170.7143'' | ||
|- | |- | ||
|12 | | 12 | ||
|''1038.2653-1046.12245'' | | ''1038.2653-1046.12245'' | ||
|1180.9524 | | 1180.9524 | ||
|1191.1129 | | 1191.1129 | ||
|1193.1429 | | 1193.1429 | ||
|1196.8831 | | 1196.8831 | ||
|''1200'' | | ''1200'' | ||
|1203.3514 | | 1203.3514 | ||
|1206.2332 | | 1206.2332 | ||
|1210.0379 | | 1210.0379 | ||
|1213.7143 | | 1213.7143 | ||
|1215.5397 | | 1215.5397 | ||
|1227.0677 | | 1227.0677 | ||
|''1268.5714-1277.5714'' | | ''1268.5714-1277.5714'' | ||
|- | |- | ||
|13 | | 13 | ||
|''1229.8265-1236.3265'' | | ''1229.8265-1236.3265'' | ||
|1279.3651 | | 1279.3651 | ||
|1290.37235 | | 1290.37235 | ||
|1292.5714 | | 1292.5714 | ||
|1296.6234 | | 1296.6234 | ||
|''1300'' | | ''1300'' | ||
|1303.6307 | | 1303.6307 | ||
|1306.7526 | | 1306.7526 | ||
|1310.8744 | | 1310.8744 | ||
|1314.8571 | | 1314.8571 | ||
|1316.8346 | | 1316.8346 | ||
|1329.3233 | | 1329.3233 | ||
|''1374.2857-1383.5714'' | | ''1374.2857-1383.5714'' | ||
|- | |- | ||
|14 | | 14 | ||
|''1321.4286-1331.4286'' | | ''1321.4286-1331.4286'' | ||
|1377.7778 | | 1377.7778 | ||
|1389.6318 | | 1389.6318 | ||
|1392 | | 1392 | ||
|1396.3636 | | 1396.3636 | ||
|''1400'' | | ''1400'' | ||
|1403.91 | | 1403.91 | ||
|1407.2721 | | 1407.2721 | ||
|1411.7109 | | 1411.7109 | ||
|1416 | | 1416 | ||
|1418.1296 | | 1418.1296 | ||
|1431.57895 | | 1431.57895 | ||
|''1480-1490'' | | ''1480-1490'' | ||
|} | |} | ||
Different choices for the size of the fifth are listed in the top row. | Different choices for the size of the fifth are listed in the top row. | ||
[[Category:Edf]] | [[Category:Edf]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
[[Category:todo:improve synopsis]] | [[Category:todo:improve synopsis]] | ||
Revision as of 17:49, 18 April 2020
Division of the just perfect fifth into 7 equal parts (7EDF) is related to 12 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 100.2793 cents. The patent val has a generally sharp tendency for harmonics up to 21, with the exception for 11 and 13.
Lookalikes: 12edo, 19ed3, 31ed6
Intervals
| Scale Degree |
ed233\420-5¢ | ed31\54 | ed121/81 (~ed11\19) | ed696¢ | ed32\55 | 12edo=r¢ | ed3/2 | Pyrite | ed708¢ | ed122/81 (~ed13\22) | ed34\57 | ed37\60+5¢ | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (~ed17\29) | (~ed10\17) | ||||||||||||
| 1 | 94.3878-95.102 | 98.4127 | 99.2594 | 99.4286 | 99.7403 | 100 | 100.2793 | 100.5194 | 100.8365 | 101.1429 | 101.295 | 102.2556 | 105.7143-106.4286 |
| 2 | 188.7755-190.2041 | 196.8254 | 198.5188 | 198.8571 | 199.4805 | 200 | 200.5586 | 201.0389 | 201.673 | 202.2857 | 202.5899 | 204.5113 | 211.4286-212.8571 |
| 3 | 283.1633-285.3061 | 295.238 | 297.7782 | 298.2857 | 299.2208 | 300 | 300.8379 | 301.5583 | 302.5095 | 303.4286 | 303.8849 | 306.7669 | 317.1429-319.2857 |
| 4 | 377.551-380.4082 | 393.6508 | 397.03765 | 397.7143 | 398.961 | 400 | 401.1171 | 402.0777 | 403.346 | 404.5714 | 405.1799 | 409.0226 | 422.8571-425.7143 |
| 5 | 471.9388-475.5102 | 492.0635 | 496.2971 | 497.1429 | 498.7013 | 500 | 501.3964 | 502.5972 | 504.1825 | 505.7143 | 506.4749 | 511.2781 | 528.5714-532.1429 |
| 6 | 566.3265-570.6122 | 590.476 | 595.5565 | 596.5714 | 598.4416 | 600 | 601.6757 | 603.1166 | 605.019 | 606.8571 | 607.7698 | 613.5338 | 634.2857-638.5714 |
| 7 | 660.7143-665.7143 | 688.8889 | 694.8158 | 696 | 698.1818 | 700 | 701.955 | 703.636 | 705.85545 | 708 | 709.0648 | 715.7895 | 740-745 |
| 8 | 755.102-760.8163 | 787.3016 | 794.0753 | 795.4286 | 797.9221 | 800 | 802.2343 | 804.1555 | 806.6919 | 809.1429 | 810.3598 | 818.0451 | 845.7143-851.4286 |
| 9 | 849.4898-855.9184 | 885.7143 | 893.3347 | 894.8571 | 897.6623 | 900 | 902.5136 | 904.6749 | 907.5284 | 910.2857 | 911.6547 | 920.30075 | 951.4286-957.8571 |
| 10 | 943.8776-951.0204 | 984.127 | 992.5941 | 994.2857 | 997.4126 | 1000 | 1002.7929 | 1005.1943 | 1008.3649 | 1011.4286 | 1012.9497 | 1022.5564 | 1057.1429-1064.2857 |
| 11 | 1038.2653-1046.12245 | 1082.5397 | 1091.8535 | 1093.7143 | 1097.1429 | 1100 | 1103.0721 | 1105.7138 | 1109.2014 | 1112.5714 | 1114.2447 | 1124.812 | 1162.8571-1170.7143 |
| 12 | 1038.2653-1046.12245 | 1180.9524 | 1191.1129 | 1193.1429 | 1196.8831 | 1200 | 1203.3514 | 1206.2332 | 1210.0379 | 1213.7143 | 1215.5397 | 1227.0677 | 1268.5714-1277.5714 |
| 13 | 1229.8265-1236.3265 | 1279.3651 | 1290.37235 | 1292.5714 | 1296.6234 | 1300 | 1303.6307 | 1306.7526 | 1310.8744 | 1314.8571 | 1316.8346 | 1329.3233 | 1374.2857-1383.5714 |
| 14 | 1321.4286-1331.4286 | 1377.7778 | 1389.6318 | 1392 | 1396.3636 | 1400 | 1403.91 | 1407.2721 | 1411.7109 | 1416 | 1418.1296 | 1431.57895 | 1480-1490 |
Different choices for the size of the fifth are listed in the top row.