7edf: Difference between revisions
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| Line 10: | Line 10: | ||
! rowspan="2" |ed121/81 (~ed11\19) | ! rowspan="2" |ed121/81 (~ed11\19) | ||
! rowspan="2" |ed696¢ | ! rowspan="2" |ed696¢ | ||
! rowspan="2" |ed32\55 | |||
! rowspan="2" |[[12edo]]=''r¢'' | |||
! rowspan="2" |ed3/2 | ! rowspan="2" |ed3/2 | ||
! colspan="2" |Pyrite | ! colspan="2" |Pyrite | ||
| Line 25: | Line 27: | ||
|99.2594 | |99.2594 | ||
|99.4286 | |99.4286 | ||
|99.7403 | |||
|''100'' | |||
|100.2793 | |100.2793 | ||
|100.5194 | |100.5194 | ||
| Line 38: | Line 42: | ||
|198.5188 | |198.5188 | ||
|198.8571 | |198.8571 | ||
|199.4805 | |||
|''200'' | |||
|200.5586 | |200.5586 | ||
|201.0389 | |201.0389 | ||
| Line 51: | Line 57: | ||
|297.7782 | |297.7782 | ||
|298.2857 | |298.2857 | ||
|299.2208 | |||
|''300'' | |||
|300.8379 | |300.8379 | ||
|301.5583 | |301.5583 | ||
| Line 64: | Line 72: | ||
|397.03765 | |397.03765 | ||
|397.7143 | |397.7143 | ||
|398.961 | |||
|''400'' | |||
|401.1171 | |401.1171 | ||
|402.0777 | |402.0777 | ||
| Line 77: | Line 87: | ||
|496.2971 | |496.2971 | ||
|497.1429 | |497.1429 | ||
|498.7013 | |||
|''500'' | |||
|501.3964 | |501.3964 | ||
|502.5972 | |502.5972 | ||
| Line 90: | Line 102: | ||
|595.5565 | |595.5565 | ||
|596.5714 | |596.5714 | ||
|598.4416 | |||
|''600'' | |||
|601.6757 | |601.6757 | ||
|603.1166 | |603.1166 | ||
| Line 103: | Line 117: | ||
|694.8158 | |694.8158 | ||
|696 | |696 | ||
|698.1818 | |||
|''700'' | |||
|701.955 | |701.955 | ||
|703.636 | |703.636 | ||
| Line 116: | Line 132: | ||
|794.0753 | |794.0753 | ||
|795.4286 | |795.4286 | ||
|797.9221 | |||
|''800'' | |||
|802.2343 | |802.2343 | ||
|804.1555 | |804.1555 | ||
| Line 129: | Line 147: | ||
|893.3347 | |893.3347 | ||
|894.8571 | |894.8571 | ||
|897.6623 | |||
|''900'' | |||
|902.5136 | |902.5136 | ||
|904.6749 | |904.6749 | ||
| Line 142: | Line 162: | ||
|992.5941 | |992.5941 | ||
|994.2857 | |994.2857 | ||
|997.4126 | |||
|''1000'' | |||
|1002.7929 | |1002.7929 | ||
|1005.1943 | |1005.1943 | ||
| Line 155: | Line 177: | ||
|1091.8535 | |1091.8535 | ||
|1093.7143 | |1093.7143 | ||
|1097.1429 | |||
|''1100'' | |||
|1103.0721 | |1103.0721 | ||
|1105.7138 | |1105.7138 | ||
| Line 168: | Line 192: | ||
|1191.1129 | |1191.1129 | ||
|1193.1429 | |1193.1429 | ||
|1196.8831 | |||
|''1200'' | |||
|1203.3514 | |1203.3514 | ||
|1206.2332 | |1206.2332 | ||
| Line 181: | Line 207: | ||
|1290.37235 | |1290.37235 | ||
|1292.5714 | |1292.5714 | ||
|1296.6234 | |||
|''1300'' | |||
|1303.6307 | |1303.6307 | ||
|1306.7526 | |1306.7526 | ||
| Line 194: | Line 222: | ||
|1389.6318 | |1389.6318 | ||
|1392 | |1392 | ||
|1396.3636 | |||
|''1400'' | |||
|1403.91 | |1403.91 | ||
|1407.2721 | |1407.2721 | ||
Revision as of 22:21, 19 August 2019
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
| 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 |