7edf: Difference between revisions

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Line 6: Line 6:
|+
|+
! rowspan="2" |
! rowspan="2" |
! rowspan="2" |''ed233\420-3.5¢''
! rowspan="2" |''ed233\420-5¢''
! rowspan="2" |ed31\54
! rowspan="2" |ed31\54
! rowspan="2" |ed121/81 (~ed11\19)
! rowspan="2" |ed121/81 (~ed11\19)
! 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
! rowspan="2" |ed34\57
! rowspan="2" |''ed37\60+3.5¢''
! rowspan="2" |''ed37\60+5¢''
|-
|-
!(~ed17\29)
!(~ed17\29)
Line 19: Line 21:
|-
|-
|1
|1
|''94.602-95.102''
|''94.3878-95.102''
|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
|''105.7143-106.2143''
|''105.7143-106.4286''
|-
|-
|2
|2
|''189.2041-190.2041''
|''188.7755-190.2041''
|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
|''211.4286-212.4286''
|''211.4286-212.8571''
|-
|-
|3
|3
|''283.8061-285.3061''
|''283.1633-285.3061''
|295.238
|295.238
|297.7782
|297.7782
|298.2857
|300.8379
|300.8379
|301.5583
|301.5583
|302.5095
|302.5095
|303.4286
|303.8849
|303.8849
|306.7669
|306.7669
|''317.1429-318.6429''
|''317.1429-319.2857''
|-
|-
|4
|4
|''378.4082-380.4082''
|''377.551-380.4082''
|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
|''422.8571-424.8571''
|''422.8571-425.7143''
|-
|-
|5
|5
|''473.0102-475.5102''
|''471.9388-475.5102''
|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
|''528.5714-531.0714''
|''528.5714-532.1429''
|-
|-
|6
|6
|''567.6122-570.6122''
|''566.3265-570.6122''
|590.476
|590.476
|595.5565
|595.5565
|596.5714
|601.6757
|601.6757
|603.1166
|603.1166
|605.019
|605.019
|606.8571
|607.7698
|607.7698
|613.5338
|613.5338
|''634.2857-637.2857''
|''634.2857-638.5714''
|-
|-
|7
|7
|''662.2143-665.714''3
|''660.7143-665.714''3
|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
|''740-743.5''
|''740-745''
|-
|-
|8
|8
|''756.8163-760.8163''
|''755.102-760.8163''
|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
|''845.7143-849.7143''
|''845.7143-851.4286''
|-
|-
|9
|9
|''851.4184-855.9184''
|''849.4898-855.9184''
|885.7143
|885.7143
|893.3347
|893.3347
|894.8571
|902.5136
|902.5136
|904.6749
|904.6749
|907.5284
|907.5284
|910.2857
|911.6547
|911.6547
|920.30075
|920.30075
|''951.4286-955.9286''
|''951.4286-957.8571''
|-
|-
|10
|10
|''946.0204-951.0204''
|''943.8776-951.0204''
|984.127
|984.127
|992.5941
|992.5941
|994.2857
|1002.7929
|1002.7929
|1005.1943
|1005.1943
|1008.3649
|1008.3649
|1011.4286
|1012.9497
|1012.9497
|1022.5564
|1022.5564
|''1057.1429-1062.1429''
|''1057.1429-1064.2857''
|-
|-
|11
|11
|''1040.6224-1046.1224''
|''1038.2653-1046.12245''
|1082.5397
|1082.5397
|1091.8535
|1091.8535
|1093.7143
|1103.0721
|1103.0721
|1105.7138
|1105.7138
|1109.2014
|1109.2014
|1112.5714
|1114.2447
|1114.2447
|1124.812
|1124.812
|''1162.8571-1167.3571''
|''1162.8571-1170.7143''
|-
|-
|12
|12
|''1135.2245-1141.2245''
|''1038.2653-1046.12245''
|1180.9524
|1180.9524
|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
|''1268.5714-1274.5714''
|''1268.5714-1277.5714''
|-
|-
|13
|13
Line 154: Line 180:
|1279.3651
|1279.3651
|1290.37235
|1290.37235
|1292.5714
|1303.6307
|1303.6307
|1306.7526
|1306.7526
|1310.8744
|1310.8744
|1314.8571
|1316.8346
|1316.8346
|1329.3233
|1329.3233
|''1374.2857-1380.7857''
|''1374.2857-1383.5714''
|-
|-
|14
|14
|''1324.4286-1331.4286''
|''1321.4286-1331.4286''
|1377.7778
|1377.7778
|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
|''1480-1487''
|''1480-1490''
|}
|}
[[Category:Edf]]
[[Category:Edf]]
[[Category:Edonoi]]
[[Category:Edonoi]]
[[Category:todo:improve synopsis]]
[[Category:todo:improve synopsis]]

Revision as of 00:57, 13 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¢ 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 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 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 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 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 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 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 696 701.955 703.636 705.85545 708 709.0648 715.7895 740-745
8 755.102-760.8163 787.3016 794.0753 795.4286 802.2343 804.1555 806.6919 809.1429 810.3598 818.0451 845.7143-851.4286
9 849.4898-855.9184 885.7143 893.3347 894.8571 902.5136 904.6749 907.5284 910.2857 911.6547 920.30075 951.4286-957.8571
10 943.8776-951.0204 984.127 992.5941 994.2857 1002.7929 1005.1943 1008.3649 1011.4286 1012.9497 1022.5564 1057.1429-1064.2857
11 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
12 1038.2653-1046.12245 1180.9524 1191.1129 1193.1429 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 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 1403.91 1407.2721 1411.7109 1416 1418.1296 1431.57895 1480-1490
Retrieved from "https://en.xen.wiki/index.php?title=7edf&oldid=42246"