| 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
|
|
ed233\420-5¢ (~51ed4!)
|
ed31\54 (~49ed4!)
|
ed121/81
|
ed696¢
|
ed32\55
|
24edo=r¢
|
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
|
49.8701
|
50
|
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
|
99.7403
|
100
|
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
|
149.6104
|
150
|
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
|
199.4805
|
200
|
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
|
248.5714
|
249.35065
|
250
|
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
|
299.2208
|
300
|
300.8379
|
301.5583
|
302.5095
|
303.4286
|
303.8849
|
306.7669
|
317.1429-319.2857
|
| 7
|
330.3571-332.8571
|
344.4444
|
347.408
|
348
|
349.0909
|
350
|
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
|
398.961
|
400
|
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
|
448.8312
|
450
|
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
|
498.7013
|
500
|
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
|
548.5714
|
550
|
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
|
598.4416
|
600
|
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
|
648.3117
|
650
|
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
|
698.1818
|
700
|
701.955
|
703.636
|
705.85545
|
708
|
709.0648
|
715.7895
|
740-745
|
| 15
|
707.9082-713.2653
|
738.0952
|
744.4456
|
745.7143
|
748.05195
|
750
|
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
|
797.9221
|
800
|
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
|
847.7922
|
850
|
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
|
897.6623
|
900
|
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
|
947.5325
|
950
|
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
|
997.4126
|
1000
|
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
|
1047.2727
|
1050
|
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
|
1097.1429
|
1100
|
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
|
1147.013
|
1150
|
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
|
1196.8831
|
1200
|
1203.3514
|
1206.2332
|
1210.0379
|
1213.7143
|
1215.5397
|
1227.0677
|
1268.5714-1277.1429
|
| 25
|
1179.8469-1188.7755
|
1230.1587
|
1240.74265
|
1242.8571
|
1246.75325
|
1250
|
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
|
1296.6234
|
1300
|
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
|
1346.4395
|
1350
|
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
|
1396.3636
|
1400
|
1403.91
|
1407.2721
|
1411.7109
|
1416
|
1418.1296
|
1431.57895
|
1480-1490
|