14edf: Difference between revisions

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Line 9: Line 9:
! rowspan="2" |ed31\54 (~49ed4!)
! rowspan="2" |ed31\54 (~49ed4!)
! rowspan="2" |ed121/81
! rowspan="2" |ed121/81
! rowspan="2" |ed696¢
! rowspan="2" |ed3/2
! rowspan="2" |ed3/2
! colspan="2" |Pyrite
! colspan="2" |Pyrite
! rowspan="2" |ed708¢
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed34\57 (~47ed4!)
! rowspan="2" |ed34\57 (~47ed4!)
Line 22: Line 24:
|49.20635
|49.20635
|49.6297
|49.6297
|49.7143
|50.1396
|50.1396
|50.2597
|50.2597
|50.41825
|50.41825
|50.5714
|50.6475
|50.6475
|51.1278
|51.1278
Line 33: Line 37:
|98.4127
|98.4127
|99.2594
|99.2594
|99.4286
|100.2793
|100.2793
|100.5194
|100.5194
|100.8365
|100.8365
|101.1429
|101.295
|101.295
|102.2556
|102.2556
Line 44: Line 50:
|147.61905
|147.61905
|148.8891
|148.8891
|149.1429
|150.4189
|150.4189
|150.77915
|150.77915
|151.2547
|151.2547
|151.7143
|151.9425
|151.9425
|153.3835
|153.3835
Line 55: Line 63:
|196.8254
|196.8254
|198.5188
|198.5188
|198.8571
|200.5586
|200.5586
|201.0389
|201.0389
|201.673
|201.673
|202.2857
|202.5899
|202.5899
|204.5113
|204.5113
Line 66: Line 76:
|246.03175
|246.03175
|248.1485
|248.1485
|248.2857
|250.6982
|250.6982
|251.2986
|251.2986
|252.0912
|252.0912
|252.8571
|253.2374
|253.2374
|255.6391
|255.6391
Line 77: Line 89:
|295.2381
|295.2381
|297.782
|297.782
|298.2857
|300.8379
|300.8379
|301.5583
|301.5583
|302.5095
|302.5095
|303.4286
|303.8849
|303.8849
|306.7669
|306.7669
Line 88: Line 102:
|344.4444
|344.4444
|347.408
|347.408
|348
|350.9775
|350.9775
|351.818
|351.818
|352.9277
|352.9277
|354
|354.5324
|354.5324
|357.8947
|357.8947
Line 99: Line 115:
|393.6508
|393.6508
|397.03765
|397.03765
|397.7143
|401.1171
|401.1171
|402.0777
|402.0777
|403.346
|403.346
|404.5714
|405.1799
|405.1799
|409.0226
|409.0226
Line 110: Line 128:
|442.8571
|442.8571
|446.66735
|446.66735
|447.4286
|451.2568
|451.2568
|452.33745
|452.33745
|453.7642
|453.7642
|455.1429
|455.8274
|455.8274
|460.1504
|460.1504
Line 121: Line 141:
|492.0635
|492.0635
|496.2971
|496.2971
|497.1429
|501.3964
|501.3964
|502.5972
|502.5972
|504.1825
|504.1825
|505.7143
|506.4749
|506.4749
|511.2781
|511.2781
Line 132: Line 154:
|541.2698
|541.2698
|545.9268
|545.9268
|546.8571
|551.536
|551.536
|552.8569
|552.8569
|554.6007
|554.6007
|556.2857
|557.1223
|557.1223
|562.406
|562.406
Line 143: Line 167:
|590.4762
|590.4762
|595.5565
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|601.6757
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|603.1166
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|605.019
|605.019
|606.8571
|607.7698
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|613.5338
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Line 154: Line 180:
|639.6825
|639.6825
|645.1862
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|646.2857
|651.8154
|651.8154
|653.3763
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|655.4372
|655.4372
|657.4286
|658.4173
|658.4173
|664.66165
|664.66165
Line 165: Line 193:
|688.8889
|688.8889
|694.8158
|694.8158
|696
|701.955
|701.955
|703.636
|703.636
|705.85545
|705.85545
|708
|709.0648
|709.0648
|715.7895
|715.7895
Line 176: Line 206:
|738.0952
|738.0952
|744.4456
|744.4456
|745.7143
|752.0946
|752.0946
|753.89575
|753.89575
|756.2736
|756.2736
|758.5714
|759.7123
|759.7123
|766.9173
|766.9173
Line 187: Line 219:
|787.3016
|787.3016
|794.0753
|794.0753
|795.4286
|802.2343
|802.2343
|804.1555
|804.1555
|806.6919
|806.6919
|809.1429
|810.3598
|810.3598
|818.0451
|818.0451
Line 198: Line 232:
|836.5079
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|843.705
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|845.1429
|852.3739
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|854.4152
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|857.1102
|857.1102
|859.7143
|961.0073
|961.0073
|869.1729
|869.1729
Line 209: Line 245:
|885.7143
|885.7143
|893.3347
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|902.5136
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|904.6749
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|907.5284
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|910.2857
|911.6547
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|920.30075
|920.30075
Line 220: Line 258:
|934.9206
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|942.9644
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|952.6532
|952.6532
|954.9346
|954.9346
|957.9467
|957.9467
|960.8571
|962.3022
|962.3022
|971.4286
|971.4286
Line 231: Line 271:
|984.127
|984.127
|992.5941
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|994.2857
|1002.7929
|1002.7929
|1005.1943
|1005.1943
|1008.3649
|1008.3649
|1011.4286
|1012.9497
|1012.9497
|1022.5564
|1022.5564
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|1033.333
|1033.333
|1042.2238
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|1044
|1052.9235
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|1055.454
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|1058.7832
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|1062
|1063.5972
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|1073.6842
|1073.6842
Line 253: Line 297:
|1082.5397
|1082.5397
|1091.8535
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|1093.7143
|1103.0721
|1103.0721
|1105.7138
|1105.7138
|1109.2014
|1109.2014
|1112.5714
|1114.2447
|1114.2447
|1124.812
|1124.812
Line 264: Line 310:
|1131.7646
|1131.7646
|1141.4832
|1141.4832
|1143.4286
|1153.2118
|1153.2118
|1155.9735
|1155.9735
|1159.6297
|1159.6297
|1163.1429
|1164.8922
|1164.8922
|1175.93985
|1175.93985
Line 275: Line 323:
|1180.9524
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|1191.1129
|1191.1129
|1193.1429
|1203.3514
|1203.3514
|1206.2332
|1206.2332
|1210.0379
|1210.0379
|1213.7143
|1215.5397
|1215.5397
|1227.0677
|1227.0677
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|1230.1587
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|1240.74265
|1240.74265
|1242.8571
|1253.4911
|1253.4911
|1256.4929
|1256.4929
|1260.4561
|1260.4561
|1264.2857
|1266.18715
|1266.18715
|1278.1955
|1278.1955
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|1279.3651
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|1290.37235
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|1292.5714
|1303.6307
|1303.6307
|1306.7526
|1306.7526
|1310.8744
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|1314.8571
|1316.8346
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|1328.5714
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|1340.0021
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|1342.2857
|1353.7704
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|1357.01235
|1361.2927
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|1365.4286
|1367.4821
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|1380.4511
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|1377.7778
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|1389.6318
|1389.6318
|1392
|1403.91
|1403.91
|1407.2721
|1407.2721
|1411.7109
|1411.7109
|1416
|1418.1296
|1418.1296
|1431.57895
|1431.57895

Revision as of 01:22, 13 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.

Lookalikes: 24edo, 38edt

Intervals

ed233\420-5¢ (~51ed4!) ed31\54 (~49ed4!) ed121/81 ed696¢ 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 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 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 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 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 248.2857 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 300.8379 301.5583 302.5095 303.4286 303.8849 306.7669 317.1429-319.2857
7 331.3571-332.8571 344.4444 347.408 348 350.9775 351.818 352.9277 354 354.5324 357.8947 370-372.5
8 377.551-380.4082 393.6508 397.03765 397.7143 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 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 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 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 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 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 696 701.955 703.636 705.85545 708 709.0648 715.7895 740-745
15 707.9082-713.2653 738.0952 744.4456 745.7143 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 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 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 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 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 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 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 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 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 1203.3514 1206.2332 1210.0379 1213.7143 1215.5397 1227.0677 1268.5714-1277.5714
25 1179.8469-1188.7755 1230.1587 1240.74265 1242.8571 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 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 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 1403.91 1407.2721 1411.7109 1416 1418.1296 1431.57895 1480-1490