7edf
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 |
