14edf: Difference between revisions

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Moremajorthanmajor (talk | contribs)
autopatrolled
3,126 edits
Line 6: Line 6:
|+
|+
! rowspan="2" |
! rowspan="2" |
! rowspan="2" |''ed233\420-3.5¢''
! rowspan="2" |ed31\54
! rowspan="2" |ed31\54
! rowspan="2" |ed121/81
! rowspan="2" |ed121/81
Line 12: Line 13:
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed34\57 (~47ed4!)
! rowspan="2" |ed34\57 (~47ed4!)
! rowspan="2" |''ed37\60+3.5¢''
|-
|-
!(~ed17\29)
!(~ed17\29)
Line 17: Line 19:
|-
|-
|1
|1
|''47.301-47.551''
|49.20635
|49.20635
|49.6297
|49.6297
Line 24: Line 27:
|50.6475
|50.6475
|51.1278
|51.1278
|''52.8571-53.1071''
|-
|-
|2
|2
|''94.602-95.102''
|98.4127
|98.4127
|99.2594
|99.2594
Line 33: Line 38:
|101.295
|101.295
|102.2556
|102.2556
|''105.7143-106.2143''
|-
|-
|3
|3
|''141.903-142.653''
|147.61905
|147.61905
|148.8891
|148.8891
Line 42: Line 49:
|151.9425
|151.9425
|153.3835
|153.3835
|''158.5714-159.3214''
|-
|-
|4
|4
|''189.2041-190.2041''
|196.8254
|196.8254
|198.5188
|198.5188
Line 51: Line 60:
|202.5899
|202.5899
|204.5113
|204.5113
|''211.4286-212.4286''
|-
|-
|5
|5
|''236.5051-237.7551''
|246.03175
|246.03175
|248.1485
|248.1485
Line 60: Line 71:
|253.2374
|253.2374
|255.6391
|255.6391
|''264.2857-265.5357''
|-
|-
|6
|6
|''283.8061-285.3061''
|295.2381
|295.2381
|297.782
|297.782
Line 69: Line 82:
|303.8849
|303.8849
|306.7669
|306.7669
|''317.1429-318.6429''
|-
|-
|7
|7
|''331.1071-332.857''1
|344.4444
|344.4444
|347.408
|347.408
Line 78: Line 93:
|354.5324
|354.5324
|357.8947
|357.8947
|''370-371.75''
|-
|-
|8
|8
|''378.4082-380.4082''
|393.6508
|393.6508
|397.03765
|397.03765
Line 87: Line 104:
|405.1799
|405.1799
|409.0226
|409.0226
|''422.8571-424.8571''
|-
|-
|9
|9
|''425.7092-427.9592''
|442.8571
|442.8571
|446.66735
|446.66735
Line 96: Line 115:
|455.8274
|455.8274
|460.1504
|460.1504
|''475.7143-477.9643''
|-
|-
|10
|10
|''473.0102-475.5102''
|492.0635
|492.0635
|496.2971
|496.2971
Line 105: Line 126:
|506.4749
|506.4749
|511.2781
|511.2781
|''528.5714-531.0714''
|-
|-
|11
|11
|''520.3112-523.0612''
|541.2698
|541.2698
|545.9268
|545.9268
Line 114: Line 137:
|557.1223
|557.1223
|562.406
|562.406
|''581.4286-584.1786''
|-
|-
|12
|12
|''567.6122-570.6122''
|590.4762
|590.4762
|595.5565
|595.5565
Line 123: Line 148:
|607.7698
|607.7698
|613.5338
|613.5338
|''634.2857-637.2857''
|-
|-
|13
|13
|''614.9133-618.1633''
|639.6825
|639.6825
|645.1862
|645.1862
Line 132: Line 159:
|658.4173
|658.4173
|664.66165
|664.66165
|''687.1429-690.3929''
|-
|-
|14
|14
|''662.2143-665.714''3
|688.8889
|688.8889
|694.8158
|694.8158
Line 141: Line 170:
|709.0648
|709.0648
|715.7895
|715.7895
|''740-743.5''
|-
|-
|15
|15
|''709.5153-713.2653''
|738.0952
|738.0952
|744.4456
|744.4456
Line 150: Line 181:
|759.7123
|759.7123
|766.9173
|766.9173
|''792.8571-796.6071''
|-
|-
|16
|16
|''756.8163-760.8163''
|787.3016
|787.3016
|794.0753
|794.0753
Line 159: Line 192:
|810.3598
|810.3598
|818.0451
|818.0451
|''845.7143-849.7143''
|-
|-
|17
|17
|''804.11735-808.36735''
|836.5079
|836.5079
|843.705
|843.705
Line 168: Line 203:
|961.0073
|961.0073
|869.1729
|869.1729
|''898.5714-902.8214''
|-
|-
|18
|18
|''851.4184-855.9184''
|885.7143
|885.7143
|893.3347
|893.3347
Line 177: Line 214:
|911.6547
|911.6547
|920.30075
|920.30075
|''951.4286-955.9286''
|-
|-
|19
|19
|''898.7194-903.4694''
|934.9206
|934.9206
|942.9644
|942.9644
Line 186: Line 225:
|962.3022
|962.3022
|971.4286
|971.4286
|''1004.2857-1009.0357''
|-
|-
|20
|20
|''946.0204-951.0204''
|984.127
|984.127
|992.5941
|992.5941
Line 195: Line 236:
|1012.9497
|1012.9497
|1022.5564
|1022.5564
|''1057.1429-1062.1429''
|-
|-
|21
|21
|''993.321-998.571''
|1033.333
|1033.333
|1042.2238
|1042.2238
Line 204: Line 247:
|1063.5972
|1063.5972
|1073.6842
|1073.6842
|''1110-1115.25''
|-
|-
|22
|22
|''1040.6224-1046.1224''
|1082.5397
|1082.5397
|1091.8535
|1091.8535
Line 213: Line 258:
|1114.2447
|1114.2447
|1124.812
|1124.812
|''1162.8571-1167.3571''
|-
|-
|23
|23
|''1088.9235-1093.6735''
|1131.7646
|1131.7646
|1141.4832
|1141.4832
Line 222: Line 269:
|1164.8922
|1164.8922
|1175.93985
|1175.93985
|''1215.7143-1221.4643''
|-
|-
|24
|24
|''1135.2245-1141.2245''
|1180.9524
|1180.9524
|1191.1129
|1191.1129
Line 231: Line 280:
|1215.5397
|1215.5397
|1227.0677
|1227.0677
|''1268.5714-1274.5714''
|-
|-
|25
|25
|''1182.5255-1188.7755''
|1230.1587
|1230.1587
|1240.74265
|1240.74265
Line 240: Line 291:
|1266.18715
|1266.18715
|1278.1955
|1278.1955
|''1321.4286-1327.6786''
|-
|-
|26
|26
|''1229.8265-1236.3265''
|1279.3651
|1279.3651
|1290.37235
|1290.37235
Line 249: Line 302:
|1316.8346
|1316.8346
|1329.3233
|1329.3233
|''1374.2857-1380.7857''
|-
|-
|27
|27
|''1277.12755-1283.87755''
|1328.5714
|1328.5714
|1340.0021
|1340.0021
Line 258: Line 313:
|1367.4821
|1367.4821
|1380.4511
|1380.4511
|''1427.1429-1433.8929''
|-
|-
|28
|28
|''1324.4286-1331.4286''
|1377.7778
|1377.7778
|1389.6318
|1389.6318
Line 267: Line 324:
|1418.1296
|1418.1296
|1431.57895
|1431.57895
|''1480-1487''
|}
|}
[[Category:Edf]]
[[Category:Edf]]
[[Category:Edonoi]]
[[Category:Edonoi]]
[[Category:todo:improve synopsis]]
[[Category:todo:improve synopsis]]

Revision as of 17:07, 25 June 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\420-3.5¢ ed31\54 ed121/81 ed3/2 Pyrite ed122/81 (~ed13\22) ed34\57 (~47ed4!) ed37\60+3.5¢
(~ed17\29) (~ed10\17)
1 47.301-47.551 49.20635 49.6297 50.1396 50.2597 50.41825 50.6475 51.1278 52.8571-53.1071
2 94.602-95.102 98.4127 99.2594 100.2793 100.5194 100.8365 101.295 102.2556 105.7143-106.2143
3 141.903-142.653 147.61905 148.8891 150.4189 150.77915 151.2547 151.9425 153.3835 158.5714-159.3214
4 189.2041-190.2041 196.8254 198.5188 200.5586 201.0389 201.673 202.5899 204.5113 211.4286-212.4286
5 236.5051-237.7551 246.03175 248.1485 250.6982 251.2986 252.0912 253.2374 255.6391 264.2857-265.5357
6 283.8061-285.3061 295.2381 297.782 300.8379 301.5583 302.5095 303.8849 306.7669 317.1429-318.6429
7 331.1071-332.8571 344.4444 347.408 350.9775 351.818 352.9277 354.5324 357.8947 370-371.75
8 378.4082-380.4082 393.6508 397.03765 401.1171 402.0777 403.346 405.1799 409.0226 422.8571-424.8571
9 425.7092-427.9592 442.8571 446.66735 451.2568 452.33745 453.7642 455.8274 460.1504 475.7143-477.9643
10 473.0102-475.5102 492.0635 496.2971 501.3964 502.5972 504.1825 506.4749 511.2781 528.5714-531.0714
11 520.3112-523.0612 541.2698 545.9268 551.536 552.8569 554.6007 557.1223 562.406 581.4286-584.1786
12 567.6122-570.6122 590.4762 595.5565 601.6757 603.1166 605.019 607.7698 613.5338 634.2857-637.2857
13 614.9133-618.1633 639.6825 645.1862 651.8154 653.3763 655.4372 658.4173 664.66165 687.1429-690.3929
14 662.2143-665.7143 688.8889 694.8158 701.955 703.636 705.85545 709.0648 715.7895 740-743.5
15 709.5153-713.2653 738.0952 744.4456 752.0946 753.89575 756.2736 759.7123 766.9173 792.8571-796.6071
16 756.8163-760.8163 787.3016 794.0753 802.2343 804.1555 806.6919 810.3598 818.0451 845.7143-849.7143
17 804.11735-808.36735 836.5079 843.705 852.3739 854.4152 857.1102 961.0073 869.1729 898.5714-902.8214
18 851.4184-855.9184 885.7143 893.3347 902.5136 904.6749 907.5284 911.6547 920.30075 951.4286-955.9286
19 898.7194-903.4694 934.9206 942.9644 952.6532 954.9346 957.9467 962.3022 971.4286 1004.2857-1009.0357
20 946.0204-951.0204 984.127 992.5941 1002.7929 1005.1943 1008.3649 1012.9497 1022.5564 1057.1429-1062.1429
21 993.321-998.571 1033.333 1042.2238 1052.9235 1055.454 1058.7832 1063.5972 1073.6842 1110-1115.25
22 1040.6224-1046.1224 1082.5397 1091.8535 1103.0721 1105.7138 1109.2014 1114.2447 1124.812 1162.8571-1167.3571
23 1088.9235-1093.6735 1131.7646 1141.4832 1153.2118 1155.9735 1159.6297 1164.8922 1175.93985 1215.7143-1221.4643
24 1135.2245-1141.2245 1180.9524 1191.1129 1203.3514 1206.2332 1210.0379 1215.5397 1227.0677 1268.5714-1274.5714
25 1182.5255-1188.7755 1230.1587 1240.74265 1253.4911 1256.4929 1260.4561 1266.18715 1278.1955 1321.4286-1327.6786
26 1229.8265-1236.3265 1279.3651 1290.37235 1303.6307 1306.7526 1310.8744 1316.8346 1329.3233 1374.2857-1380.7857
27 1277.12755-1283.87755 1328.5714 1340.0021 1353.7704 1357.01235 1361.2927 1367.4821 1380.4511 1427.1429-1433.8929
28 1324.4286-1331.4286 1377.7778 1389.6318 1403.91 1407.2721 1411.7109 1418.1296 1431.57895 1480-1487
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