14edf: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
Line 10: | Line 10: | ||
! rowspan="2" |ed121/81 | ! rowspan="2" |ed121/81 | ||
! rowspan="2" |ed696¢ | ! rowspan="2" |ed696¢ | ||
! rowspan="2" |ed32\55 | |||
! rowspan="2" |[[24edo]]=''r¢'' | |||
! rowspan="2" |ed3/2 | ! rowspan="2" |ed3/2 | ||
! colspan="2" |Pyrite | ! colspan="2" |Pyrite | ||
Line 25: | Line 27: | ||
|49.6297 | |49.6297 | ||
|49.7143 | |49.7143 | ||
|49.8701 | |||
|''50'' | |||
|50.1396 | |50.1396 | ||
|50.2597 | |50.2597 | ||
Line 38: | Line 42: | ||
|99.2594 | |99.2594 | ||
|99.4286 | |99.4286 | ||
|99.7403 | |||
|''100'' | |||
|100.2793 | |100.2793 | ||
|100.5194 | |100.5194 | ||
Line 51: | Line 57: | ||
|148.8891 | |148.8891 | ||
|149.1429 | |149.1429 | ||
|149.6104 | |||
|''150'' | |||
|150.4189 | |150.4189 | ||
|150.77915 | |150.77915 | ||
Line 64: | Line 72: | ||
|198.5188 | |198.5188 | ||
|198.8571 | |198.8571 | ||
|199.4805 | |||
|''200'' | |||
|200.5586 | |200.5586 | ||
|201.0389 | |201.0389 | ||
Line 77: | Line 87: | ||
|248.1485 | |248.1485 | ||
|248.5714 | |248.5714 | ||
|249.35065 | |||
|''250'' | |||
|250.6982 | |250.6982 | ||
|251.2986 | |251.2986 | ||
Line 90: | Line 102: | ||
|297.782 | |297.782 | ||
|298.2857 | |298.2857 | ||
|299.2208 | |||
|''300'' | |||
|300.8379 | |300.8379 | ||
|301.5583 | |301.5583 | ||
Line 103: | Line 117: | ||
|347.408 | |347.408 | ||
|348 | |348 | ||
|349.0909 | |||
|''350'' | |||
|350.9775 | |350.9775 | ||
|351.818 | |351.818 | ||
Line 116: | Line 132: | ||
|397.03765 | |397.03765 | ||
|397.7143 | |397.7143 | ||
|398.961 | |||
|''400'' | |||
|401.1171 | |401.1171 | ||
|402.0777 | |402.0777 | ||
Line 129: | Line 147: | ||
|446.66735 | |446.66735 | ||
|447.4286 | |447.4286 | ||
|448.8312 | |||
|''450'' | |||
|451.2568 | |451.2568 | ||
|452.33745 | |452.33745 | ||
Line 142: | Line 162: | ||
|496.2971 | |496.2971 | ||
|497.1429 | |497.1429 | ||
|498.7013 | |||
|''500'' | |||
|501.3964 | |501.3964 | ||
|502.5972 | |502.5972 | ||
Line 155: | Line 177: | ||
|545.9268 | |545.9268 | ||
|546.8571 | |546.8571 | ||
|548.5714 | |||
|''550'' | |||
|551.536 | |551.536 | ||
|552.8569 | |552.8569 | ||
Line 168: | Line 192: | ||
|595.5565 | |595.5565 | ||
|596.5714 | |596.5714 | ||
|598.4416 | |||
|''600'' | |||
|601.6757 | |601.6757 | ||
|603.1166 | |603.1166 | ||
Line 181: | Line 207: | ||
|645.1862 | |645.1862 | ||
|646.2857 | |646.2857 | ||
|648.3117 | |||
|''650'' | |||
|651.8154 | |651.8154 | ||
|653.3763 | |653.3763 | ||
Line 194: | Line 222: | ||
|694.8158 | |694.8158 | ||
|696 | |696 | ||
|698.1818 | |||
|''700'' | |||
|701.955 | |701.955 | ||
|703.636 | |703.636 | ||
Line 207: | Line 237: | ||
|744.4456 | |744.4456 | ||
|745.7143 | |745.7143 | ||
|748.05195 | |||
|''750'' | |||
|752.0946 | |752.0946 | ||
|753.89575 | |753.89575 | ||
Line 220: | Line 252: | ||
|794.0753 | |794.0753 | ||
|795.4286 | |795.4286 | ||
|797.9221 | |||
|''800'' | |||
|802.2343 | |802.2343 | ||
|804.1555 | |804.1555 | ||
Line 233: | Line 267: | ||
|843.705 | |843.705 | ||
|845.1429 | |845.1429 | ||
|847.7922 | |||
|''850'' | |||
|852.3739 | |852.3739 | ||
|854.4152 | |854.4152 | ||
Line 246: | Line 282: | ||
|893.3347 | |893.3347 | ||
|894.8571 | |894.8571 | ||
|897.6623 | |||
|''900'' | |||
|902.5136 | |902.5136 | ||
|904.6749 | |904.6749 | ||
Line 259: | Line 297: | ||
|942.9644 | |942.9644 | ||
|944.5714 | |944.5714 | ||
|947.5325 | |||
|''950'' | |||
|952.6532 | |952.6532 | ||
|954.9346 | |954.9346 | ||
Line 272: | Line 312: | ||
|992.5941 | |992.5941 | ||
|994.2857 | |994.2857 | ||
|997.4126 | |||
|''1000'' | |||
|1002.7929 | |1002.7929 | ||
|1005.1943 | |1005.1943 | ||
Line 285: | Line 327: | ||
|1042.2238 | |1042.2238 | ||
|1044 | |1044 | ||
|1047.2727 | |||
|''1050'' | |||
|1052.9235 | |1052.9235 | ||
|1055.454 | |1055.454 | ||
Line 298: | Line 342: | ||
|1091.8535 | |1091.8535 | ||
|1093.7143 | |1093.7143 | ||
|1097.1429 | |||
|''1100'' | |||
|1103.0721 | |1103.0721 | ||
|1105.7138 | |1105.7138 | ||
Line 311: | Line 357: | ||
|1141.4832 | |1141.4832 | ||
|1143.4286 | |1143.4286 | ||
|1147.013 | |||
|''1150'' | |||
|1153.2118 | |1153.2118 | ||
|1155.9735 | |1155.9735 | ||
Line 324: | Line 372: | ||
|1191.1129 | |1191.1129 | ||
|1193.1429 | |1193.1429 | ||
|1196.8831 | |||
|''1200'' | |||
|1203.3514 | |1203.3514 | ||
|1206.2332 | |1206.2332 | ||
Line 337: | Line 387: | ||
|1240.74265 | |1240.74265 | ||
|1242.8571 | |1242.8571 | ||
|1246.75325 | |||
|''1250'' | |||
|1253.4911 | |1253.4911 | ||
|1256.4929 | |1256.4929 | ||
Line 350: | Line 402: | ||
|1290.37235 | |1290.37235 | ||
|1292.5714 | |1292.5714 | ||
|1296.6234 | |||
|''1300'' | |||
|1303.6307 | |1303.6307 | ||
|1306.7526 | |1306.7526 | ||
Line 363: | Line 417: | ||
|1340.0021 | |1340.0021 | ||
|1342.2857 | |1342.2857 | ||
|1346.4395 | |||
|''1350'' | |||
|1353.7704 | |1353.7704 | ||
|1357.01235 | |1357.01235 | ||
Line 376: | Line 432: | ||
|1389.6318 | |1389.6318 | ||
|1392 | |1392 | ||
|1396.3636 | |||
|''1400'' | |||
|1403.91 | |1403.91 | ||
|1407.2721 | |1407.2721 |
Revision as of 22:19, 19 August 2019
Division of the just perfect fifth into 14 equal parts (14EDF) is related to 24 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 50.1396 cents. The patent val has a generally sharp tendency for harmonics up to 22, with the exception for 7, 14, and 21.
Intervals
ed233\420-5¢ (~51ed4!) | ed31\54 (~49ed4!) | ed121/81 | ed696¢ | ed32\55 | 24edo=r¢ | ed3/2 | Pyrite | ed708¢ | ed122/81 (~ed13\22) | ed34\57 (~47ed4!) | ed37\60+5¢ | ||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
(~ed17\29) | (~ed10\17) | ||||||||||||
1 | 47.1939-47.551 | 49.20635 | 49.6297 | 49.7143 | 49.8701 | 50 | 50.1396 | 50.2597 | 50.41825 | 50.5714 | 50.6475 | 51.1278 | 52.8571-53.2143 |
2 | 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 |
3 | 141.5816-142.653 | 147.61905 | 148.8891 | 149.1429 | 149.6104 | 150 | 150.4189 | 150.77915 | 151.2547 | 151.7143 | 151.9425 | 153.3835 | 158.5714-159.6429 |
4 | 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 |
5 | 235.9694-237.7551 | 246.03175 | 248.1485 | 248.5714 | 249.35065 | 250 | 250.6982 | 251.2986 | 252.0912 | 252.8571 | 253.2374 | 255.6391 | 264.2857-266.0714 |
6 | 283.1633-285.3061 | 295.2381 | 297.782 | 298.2857 | 299.2208 | 300 | 300.8379 | 301.5583 | 302.5095 | 303.4286 | 303.8849 | 306.7669 | 317.1429-319.2857 |
7 | 330.3571-332.8571 | 344.4444 | 347.408 | 348 | 349.0909 | 350 | 350.9775 | 351.818 | 352.9277 | 354 | 354.5324 | 357.8947 | 370-372.5 |
8 | 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 |
9 | 424.7449-427.9592 | 442.8571 | 446.66735 | 447.4286 | 448.8312 | 450 | 451.2568 | 452.33745 | 453.7642 | 455.1429 | 455.8274 | 460.1504 | 475.7143-478.9286 |
10 | 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 |
11 | 519.13265-523.0612 | 541.2698 | 545.9268 | 546.8571 | 548.5714 | 550 | 551.536 | 552.8569 | 554.6007 | 556.2857 | 557.1223 | 562.406 | 581.4286-585.3571 |
12 | 566.3265-570.6122 | 590.4762 | 595.5565 | 596.5714 | 598.4416 | 600 | 601.6757 | 603.1166 | 605.019 | 606.8571 | 607.7698 | 613.5338 | 634.2857-638.5714 |
13 | 613.5204-618.1633 | 639.6825 | 645.1862 | 646.2857 | 648.3117 | 650 | 651.8154 | 653.3763 | 655.4372 | 657.4286 | 658.4173 | 664.66165 | 687.1429-691.7857 |
14 | 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 |
15 | 707.9082-713.2653 | 738.0952 | 744.4456 | 745.7143 | 748.05195 | 750 | 752.0946 | 753.89575 | 756.2736 | 758.5714 | 759.7123 | 766.9173 | 792.8571-798.2143 |
16 | 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 |
17 | 802.2959-808.36735 | 836.5079 | 843.705 | 845.1429 | 847.7922 | 850 | 852.3739 | 854.4152 | 857.1102 | 859.7143 | 961.0073 | 869.1729 | 898.5714-904.6429 |
18 | 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 |
19 | 896.6387-903.4694 | 934.9206 | 942.9644 | 944.5714 | 947.5325 | 950 | 952.6532 | 954.9346 | 957.9467 | 960.8571 | 962.3022 | 971.4286 | 1004.2857-1011.0714 |
20 | 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 |
21 | 991.0714-998.5714 | 1033.333 | 1042.2238 | 1044 | 1047.2727 | 1050 | 1052.9235 | 1055.454 | 1058.7832 | 1062 | 1063.5972 | 1073.6842 | 1110-1117.5 |
22 | 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 |
23 | 1085.4592-1093.6735 | 1131.7646 | 1141.4832 | 1143.4286 | 1147.013 | 1150 | 1153.2118 | 1155.9735 | 1159.6297 | 1163.1429 | 1164.8922 | 1175.93985 | 1215.7143-1223.9286 |
24 | 1132.6531-1141.2245 | 1180.9524 | 1191.1129 | 1193.1429 | 1196.8831 | 1200 | 1203.3514 | 1206.2332 | 1210.0379 | 1213.7143 | 1215.5397 | 1227.0677 | 1268.5714-1277.1429 |
25 | 1179.8469-1188.7755 | 1230.1587 | 1240.74265 | 1242.8571 | 1246.75325 | 1250 | 1253.4911 | 1256.4929 | 1260.4561 | 1264.2857 | 1266.18715 | 1278.1955 | 1321.4286-1330.3571 |
26 | 1227.0408-1236.3265 | 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 |
27 | 1274.2347-1283.87755 | 1328.5714 | 1340.0021 | 1342.2857 | 1346.4395 | 1350 | 1353.7704 | 1357.01235 | 1361.2927 | 1365.4286 | 1367.4821 | 1380.4511 | 1427.1429-1436.7857 |
28 | 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 |