14edf: Difference between revisions

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! rowspan="2" |
! rowspan="2" |
! rowspan="2" |''ed233\420-5¢ (~51ed4!)''
! rowspan="2" |ed31\54 (~49ed4!)
! rowspan="2" |ed121/81
! rowspan="2" |ed696¢
! rowspan="2" |ed32\55
! rowspan="2" |[[24edo]]=''r¢''
! rowspan="2" |ed3/2
! rowspan="2" |ed3/2
! colspan="2" |Pyrite
! rowspan="2" |ed708¢
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed34\57 (~47ed4!)
! rowspan="2" |''ed37\60+5¢''
|-
|-
!(~ed17\29)
 
!(~ed10\17)
|-
|-
|1
|1
|''47.1939-47.551''
|49.20635
|49.6297
|49.7143
|49.8701
|''50''
|50.1396
|50.1396
|50.2597
|50.41825
|50.5714
|50.6475
|51.1278
|''52.8571-53.2143''
|-
|-
|2
|2
|''94.3878-95.102''
|98.4127
|99.2594
|99.4286
|99.7403
|''100''
|100.2793
|100.2793
|100.5194
|100.8365
|101.1429
|101.295
|102.2556
|''105.7143-106.4286''
|-
|-
|3
|3
|''141.5816-142.653''
|147.61905
|148.8891
|149.1429
|149.6104
|''150''
|150.4189
|150.4189
|150.77915
|151.2547
|151.7143
|151.9425
|153.3835
|''158.5714-159.6429''
|-
|-
|4
|4
|''188.7755-190.2041''
|196.8254
|198.5188
|198.8571
|199.4805
|''200''
|200.5586
|200.5586
|201.0389
|201.673
|202.2857
|202.5899
|204.5113
|''211.4286-212.8571''
|-
|-
|5
|5
|''235.9694-237.7551''
|246.03175
|248.1485
|248.5714
|249.35065
|''250''
|250.6982
|250.6982
|251.2986
|252.0912
|252.8571
|253.2374
|255.6391
|''264.2857-266.0714''
|-
|-
|6
|6
|''283.1633-285.3061''
|295.2381
|297.782
|298.2857
|299.2208
|''300''
|300.8379
|300.8379
|301.5583
|302.5095
|303.4286
|303.8849
|306.7669
|''317.1429-319.2857''
|-
|-
|7
|7
|''330.3571-332.857''1
|344.4444
|347.408
|348
|349.0909
|''350''
|350.9775
|350.9775
|351.818
|352.9277
|354
|354.5324
|357.8947
|''370-372.5''
|-
|-
|8
|8
|''377.551-380.4082''
|393.6508
|397.03765
|397.7143
|398.961
|''400''
|401.1171
|401.1171
|402.0777
|403.346
|404.5714
|405.1799
|409.0226
|''422.8571-425.7143''
|-
|-
|9
|9
|''424.7449-427.9592''
|442.8571
|446.66735
|447.4286
|448.8312
|''450''
|451.2568
|451.2568
|452.33745
|453.7642
|455.1429
|455.8274
|460.1504
|''475.7143-478.9286''
|-
|-
|10
|10
|''471.9388-475.5102''
|492.0635
|496.2971
|497.1429
|498.7013
|''500''
|501.3964
|501.3964
|502.5972
|504.1825
|505.7143
|506.4749
|511.2781
|''528.5714-532.1429''
|-
|-
|11
|11
|''519.13265-523.0612''
|541.2698
|545.9268
|546.8571
|548.5714
|''550''
|551.536
|551.536
|552.8569
|554.6007
|556.2857
|557.1223
|562.406
|''581.4286-585.3571''
|-
|-
|12
|12
|''566.3265-570.6122''
|590.4762
|595.5565
|596.5714
|598.4416
|''600''
|601.6757
|601.6757
|603.1166
|605.019
|606.8571
|607.7698
|613.5338
|''634.2857-638.5714''
|-
|-
|13
|13
|''613.5204-618.1633''
|639.6825
|645.1862
|646.2857
|648.3117
|''650''
|651.8154
|651.8154
|653.3763
|655.4372
|657.4286
|658.4173
|664.66165
|''687.1429-691.7857''
|-
|-
|14
|14
|''660.7143-665.714''3
|688.8889
|694.8158
|696
|698.1818
|''700''
|701.955
|701.955
|703.636
|705.85545
|708
|709.0648
|715.7895
|''740-745''
|-
|-
|15
|15
|''707.9082-713.2653''
|738.0952
|744.4456
|745.7143
|748.05195
|''750''
|752.0946
|752.0946
|753.89575
|756.2736
|758.5714
|759.7123
|766.9173
|''792.8571-798.2143''
|-
|-
|16
|16
|''755.102-760.8163''
|787.3016
|794.0753
|795.4286
|797.9221
|''800''
|802.2343
|802.2343
|804.1555
|806.6919
|809.1429
|810.3598
|818.0451
|''845.7143-851.4286''
|-
|-
|17
|17
|''802.2959-808.36735''
|836.5079
|843.705
|845.1429
|847.7922
|''850''
|852.3739
|852.3739
|854.4152
|857.1102
|859.7143
|961.0073
|869.1729
|''898.5714-904.6429''
|-
|-
|18
|18
|''849.4898-855.9184''
|885.7143
|893.3347
|894.8571
|897.6623
|''900''
|902.5136
|902.5136
|904.6749
|907.5284
|910.2857
|911.6547
|920.30075
|''951.4286-957.8571''
|-
|-
|19
|19
|''896.6387-903.4694''
|934.9206
|942.9644
|944.5714
|947.5325
|''950''
|952.6532
|952.6532
|954.9346
|957.9467
|960.8571
|962.3022
|971.4286
|''1004.2857-1011.0714''
|-
|-
|20
|20
|''943.8776-951.0204''
|984.127
|992.5941
|994.2857
|997.4126
|''1000''
|1002.7929
|1002.7929
|1005.1943
|1008.3649
|1011.4286
|1012.9497
|1022.5564
|''1057.1429-1064.2857''
|-
|-
|21
|21
|''991.0714-998.5714''
|1033.333
|1042.2238
|1044
|1047.2727
|''1050''
|1052.9235
|1052.9235
|1055.454
|1058.7832
|1062
|1063.5972
|1073.6842
|''1110-1117.5''
|-
|-
|22
|22
|''1038.2653-1046.12245''
|1082.5397
|1091.8535
|1093.7143
|1097.1429
|''1100''
|1103.0721
|1103.0721
|1105.7138
|1109.2014
|1112.5714
|1114.2447
|1124.812
|''1162.8571-1170.7143''
|-
|-
|23
|23
|''1085.4592-1093.6735''
|1131.7646
|1141.4832
|1143.4286
|1147.013
|''1150''
|1153.2118
|1153.2118
|1155.9735
|1159.6297
|1163.1429
|1164.8922
|1175.93985
|''1215.7143-1223.9286''
|-
|-
|24
|24
|''1132.6531-1141.2245''
|1180.9524
|1191.1129
|1193.1429
|1196.8831
|''1200''
|1203.3514
|1203.3514
|1206.2332
|1210.0379
|1213.7143
|1215.5397
|1227.0677
|''1268.5714-1277.1429''
|-
|-
|25
|25
|''1179.8469-1188.7755''
|1230.1587
|1240.74265
|1242.8571
|1246.75325
|''1250''
|1253.4911
|1253.4911
|1256.4929
|1260.4561
|1264.2857
|1266.18715
|1278.1955
|''1321.4286-1330.3571''
|-
|-
|26
|26
|''1227.0408-1236.3265''
|1279.3651
|1290.37235
|1292.5714
|1296.6234
|''1300''
|1303.6307
|1303.6307
|1306.7526
|1310.8744
|1314.8571
|1316.8346
|1329.3233
|''1374.2857-1383.5714''
|-
|-
|27
|27
|''1274.2347-1283.87755''
|1328.5714
|1340.0021
|1342.2857
|1346.4395
|''1350''
|1353.7704
|1353.7704
|1357.01235
|1361.2927
|1365.4286
|1367.4821
|1380.4511
|''1427.1429-1436.7857''
|-
|-
|28
|28
|''1321.4286-1331.4286''
|1377.7778
|1389.6318
|1392
|1396.3636
|''1400''
|1403.91
|1403.91
|1407.2721
|1411.7109
|1416
|1418.1296
|1431.57895
|''1480-1490''
|}
|}
[[Category:Edf]]
[[Category:Edf]]
[[Category:Edonoi]]
[[Category:Edonoi]]
[[Category:todo:improve synopsis]]
[[Category:todo:improve synopsis]]

Revision as of 04:08, 8 March 2023

← 13edf 14edf 15edf →
Prime factorization 2 × 7
Step size 50.1396 ¢ 
Octave 24\14edf (1203.35 ¢) (→ 12\7edf)
Twelfth 38\14edf (1905.31 ¢) (→ 19\7edf)
Consistency limit 6
Distinct consistency limit 6

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

ed3/2
1 50.1396
2 100.2793
3 150.4189
4 200.5586
5 250.6982
6 300.8379
7 350.9775
8 401.1171
9 451.2568
10 501.3964
11 551.536
12 601.6757
13 651.8154
14 701.955
15 752.0946
16 802.2343
17 852.3739
18 902.5136
19 952.6532
20 1002.7929
21 1052.9235
22 1103.0721
23 1153.2118
24 1203.3514
25 1253.4911
26 1303.6307
27 1353.7704
28 1403.91
Retrieved from "https://en.xen.wiki/index.php?title=14edf&oldid=105008"