7edf: Difference between revisions

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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 (~ed11\19)
! rowspan="2" |ed121/81 (~ed11\19)
Line 12: Line 13:
! 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¢''
|-
|-
!(~ed17\29)
!(~ed17\29)
Line 17: Line 19:
|-
|-
|1
|1
|''94.602-95.102''
|98.4127
|98.4127
|99.2594
|99.2594
Line 24: Line 27:
|101.295
|101.295
|102.2556
|102.2556
|''105.7143-106.2143''
|-
|-
|2
|2
|''189.2041-190.2041''
|196.8254
|196.8254
|198.5188
|198.5188
Line 33: Line 38:
|202.5899
|202.5899
|204.5113
|204.5113
|''211.4286-212.4286''
|-
|-
|3
|3
|''283.8061-285.3061''
|295.238
|295.238
|297.7782
|297.7782
Line 42: Line 49:
|303.8849
|303.8849
|306.7669
|306.7669
|''317.1429-318.6429''
|-
|-
|4
|4
|''378.4082-380.4082''
|393.6508
|393.6508
|397.03765
|397.03765
Line 51: Line 60:
|405.1799
|405.1799
|409.0226
|409.0226
|''422.8571-424.8571''
|-
|-
|5
|5
|''473.0102-475.5102''
|492.0635
|492.0635
|496.2971
|496.2971
Line 60: Line 71:
|506.4749
|506.4749
|511.2781
|511.2781
|''528.5714-531.0714''
|-
|-
|6
|6
|''567.6122-570.6122''
|590.476
|590.476
|595.5565
|595.5565
Line 69: Line 82:
|607.7698
|607.7698
|613.5338
|613.5338
|''634.2857-637.2857''
|-
|-
|7
|7
|''662.2143-665.714''3
|688.8889
|688.8889
|694.8158
|694.8158
Line 78: Line 93:
|709.0648
|709.0648
|715.7895
|715.7895
|''740-743.5''
|-
|-
|8
|8
|''756.8163-760.8163''
|787.3016
|787.3016
|794.0753
|794.0753
Line 87: Line 104:
|810.3598
|810.3598
|818.0451
|818.0451
|''845.7143-849.7143''
|-
|-
|9
|9
|''851.4184-855.9184''
|885.7143
|885.7143
|893.3347
|893.3347
Line 96: Line 115:
|911.6547
|911.6547
|920.30075
|920.30075
|''951.4286-955.9286''
|-
|-
|10
|10
|''946.0204-951.0204''
|984.127
|984.127
|992.5941
|992.5941
Line 105: Line 126:
|1012.9497
|1012.9497
|1022.5564
|1022.5564
|''1057.1429-1062.1429''
|-
|-
|11
|11
|''1040.6224-1046.1224''
|1082.5397
|1082.5397
|1091.8535
|1091.8535
Line 114: Line 137:
|1114.2447
|1114.2447
|1124.812
|1124.812
|''1162.8571-1167.3571''
|-
|-
|12
|12
|''1135.2245-1141.2245''
|1180.9524
|1180.9524
|1191.1129
|1191.1129
Line 123: Line 148:
|1215.5397
|1215.5397
|1227.0677
|1227.0677
|''1268.5714-1274.5714''
|-
|-
|13
|13
|''1229.8265-1236.3265''
|1279.3651
|1279.3651
|1290.37235
|1290.37235
Line 132: Line 159:
|1316.8346
|1316.8346
|1329.3233
|1329.3233
|''1374.2857-1380.7857''
|-
|-
|14
|14
|''1324.4286-1331.4286''
|1377.7778
|1377.7778
|1389.6318
|1389.6318
Line 141: Line 170:
|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 01:12, 24 June 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\420-3.5¢ ed31\54 ed121/81 (~ed11\19) ed3/2 Pyrite ed122/81 (~ed13\22) ed34\57 ed37\60+3.5¢
(~ed17\29) (~ed10\17)
1 94.602-95.102 98.4127 99.2594 100.2793 100.5194 100.8365 101.295 102.2556 105.7143-106.2143
2 189.2041-190.2041 196.8254 198.5188 200.5586 201.0389 201.673 202.5899 204.5113 211.4286-212.4286
3 283.8061-285.3061 295.238 297.7782 300.8379 301.5583 302.5095 303.8849 306.7669 317.1429-318.6429
4 378.4082-380.4082 393.6508 397.03765 401.1171 402.0777 403.346 405.1799 409.0226 422.8571-424.8571
5 473.0102-475.5102 492.0635 496.2971 501.3964 502.5972 504.1825 506.4749 511.2781 528.5714-531.0714
6 567.6122-570.6122 590.476 595.5565 601.6757 603.1166 605.019 607.7698 613.5338 634.2857-637.2857
7 662.2143-665.7143 688.8889 694.8158 701.955 703.636 705.85545 709.0648 715.7895 740-743.5
8 756.8163-760.8163 787.3016 794.0753 802.2343 804.1555 806.6919 810.3598 818.0451 845.7143-849.7143
9 851.4184-855.9184 885.7143 893.3347 902.5136 904.6749 907.5284 911.6547 920.30075 951.4286-955.9286
10 946.0204-951.0204 984.127 992.5941 1002.7929 1005.1943 1008.3649 1012.9497 1022.5564 1057.1429-1062.1429
11 1040.6224-1046.1224 1082.5397 1091.8535 1103.0721 1105.7138 1109.2014 1114.2447 1124.812 1162.8571-1167.3571
12 1135.2245-1141.2245 1180.9524 1191.1129 1203.3514 1206.2332 1210.0379 1215.5397 1227.0677 1268.5714-1274.5714
13 1229.8265-1236.3265 1279.3651 1290.37235 1303.6307 1306.7526 1310.8744 1316.8346 1329.3233 1374.2857-1380.7857
14 1324.4286-1331.4286 1377.7778 1389.6318 1403.91 1407.2721 1411.7109 1418.1296 1431.57895 1480-1487