| Prime factorization
|
22 × 7
|
| Step size
|
25.0698 ¢
|
| Octave
|
48\28edf (1203.35 ¢) (→ 12\7edf)
|
| Twelfth
|
76\28edf (1905.31 ¢) (→ 19\7edf)
|
| Consistency limit
|
6
|
| Distinct consistency limit
|
6
|
Division of the just perfect fifth into 28 equal parts (28EDF) is related to 48 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 25.0698 cents (corresponding to 47.8663 edo). It is related to the regular temperament which tempers out |187 -159 28> in the 5-limit; 6656/6655, 256000/255879, and 38671875/38614472 in the 13-limit (2.3.5.11.13 subgroup), which is supported by 335, 383, 718, 1053, and 1101 EDOs.
Intervals
|
|
ed233\420-5¢ (~101ed4!)
|
ed31\54 (~49edo!)
|
ed121/81 (~ed11\19)
|
ed696¢
|
ed32\55
|
48edo=r¢
|
ed3/2
|
Pyrite
|
ed708¢
|
ed122/81 (~ed13\22)
|
ed34\57 (~47edo!)
|
ed37\60+5¢ (~91ed4!)
|
| (~ed17\29)
|
(~ed10\17)
|
| 1
|
23.5969-23.7755
|
24.6032
|
24.81485
|
24.8571
|
24.9351
|
25
|
25.0698
|
25.1299
|
25.2091
|
25.2857
|
25.3234
|
25.5639
|
26.4286-26.6071
|
| 2
|
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
|
| 3
|
70.7908-71.3625
|
73.8095
|
74.4446
|
74.5714
|
74.8052
|
75
|
75.2095
|
75.3896
|
75.6274
|
75.8571
|
75.9712
|
76.6917
|
79.2857-79.8574
|
| 4
|
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
|
| 5
|
117.9847-118.87755
|
123.0159
|
124.0743
|
124.2857
|
124.6753
|
125
|
125.3491
|
125.6493
|
126.0456
|
126.4286
|
126.6187
|
127.81955
|
132.1429-133.0357
|
| 6
|
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
|
| 7
|
165.1786-166.4286
|
172.2222
|
173.704
|
174
|
174.54545
|
175
|
175.48875
|
175.909
|
176.4639
|
177
|
177.2662
|
178.947
|
185-186.25
|
| 8
|
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
|
| 9
|
212.3724-213.9796
|
221.4286
|
223.3337
|
223.7143
|
224.4156
|
225
|
225.6284
|
226.1687
|
226.8821
|
227.5714
|
227.9137
|
230.0752
|
237.8571-239.4643
|
| 10
|
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
|
| 11
|
259.5663-261.5306
|
270.6349
|
272.9634
|
273.4286
|
274.2857
|
275
|
275.768
|
276.4284
|
277.3004
|
278.1429
|
278.5612
|
281.203
|
290.7143-292.6786
|
| 12
|
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
|
| 13
|
306.7602-309.0816
|
319.8413
|
322.5931
|
323.1429
|
324.1558
|
325
|
325.9077
|
326.6682
|
327.7186
|
328.7143
|
329.2087
|
332.3308
|
343.5714-345.8929
|
| 14
|
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
|
| 15
|
353.9541-356.63265
|
369.0476
|
372.2228
|
372.8571
|
374.026
|
375
|
376.0473
|
376.9479
|
378.13685
|
379.2857
|
379.8561
|
383.45865
|
396.4286-399.1071
|
| 16
|
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
|
| 17
|
401.148-404.1837
|
418.254
|
421.8525
|
422.5714
|
423.8961
|
425
|
426.187
|
427.2076
|
428.5551
|
429.8571
|
430.5036
|
434.5865
|
449.5714-452.3214
|
| 18
|
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
|
| 19
|
448.3418-451.7347
|
467.460
|
471.4822
|
472.2857
|
473.7662
|
475
|
476.3266
|
477.4673
|
478.97333
|
480.4286
|
481.1511
|
485.7143
|
502.1429-505.5357
|
| 20
|
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
|
| 21
|
495.5357-499.2857
|
516.6667
|
521.1119
|
522
|
523.6364
|
525
|
526.46625
|
527.727
|
529.3916
|
531
|
531.7986
|
536.8421
|
555-558.75
|
| 22
|
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
|
| 23
|
542.7296-546.8367
|
565.873
|
570.7416
|
571.4286
|
573.5065
|
575
|
576.6059
|
577.9867
|
579.8098
|
581.5714
|
582.4461
|
587.9699
|
607.8571-611.9643
|
| 24
|
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
|
| 25
|
589.9235-594.3878
|
615.0794
|
620.3713
|
621.4286
|
623.3766
|
625
|
626.7455
|
628.2465
|
630.2281
|
632.1429
|
633.0936
|
639.0977
|
660.7143-665.1786
|
| 26
|
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
|
| 27
|
637.1173-641.9388
|
664.2857
|
670.001
|
671.1429
|
673.24765
|
675
|
676.8852
|
678.5062
|
680.6463
|
682.7143
|
683.7411
|
690.2256
|
713.5714-718.3929
|
| 28
|
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
|
| 29
|
684.3112-689.4898
|
713.4921
|
719.6307
|
720.8571
|
723.1169
|
725
|
727.0248
|
728.7659
|
731.0646
|
733.2857
|
734.3885
|
741.3534
|
766.4286-771.6071
|
| 30
|
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
|
| 31
|
731.5051-737.0408
|
762.6984
|
769.2604
|
770.5714
|
772.987
|
775
|
777.1645
|
779.0256
|
781.4828
|
783.8571
|
785.036
|
792.4812
|
819.2857-824.8214
|
| 32
|
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
|
| 33
|
778.699-784.5918
|
811.9048
|
818.89015
|
820.2857
|
822.8571
|
825
|
827.3041
|
829.2853
|
831.9011
|
834.4286
|
835.6835
|
843.609
|
872.1429-876.0357
|
| 34
|
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
|
| 35
|
825.8929-832.1429
|
861.1111
|
868.51985
|
870
|
872.7273
|
875
|
877.44375
|
879.545
|
882.3193
|
885
|
886.331
|
894.7368
|
925-931.25
|
| 36
|
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
|
| 37
|
873.0867-879.6939
|
910.3175
|
918.1496
|
919.7143
|
922.5974
|
925
|
927.5834
|
929.8048
|
932.3767
|
935.5714
|
936.9785
|
945.8647
|
977.8571-984.4643
|
| 38
|
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
|
| 39
|
920.2806-927.2449
|
959.5238
|
967.7793
|
969.4286
|
972.4675
|
975
|
977.723
|
980.0645
|
983.1558
|
986.1429
|
987.626
|
996.9925
|
1030.7143-1037.6786
|
| 40
|
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
|
| 41
|
967.4745-974.7959
|
1008.7302
|
1017.409
|
1019.1429
|
1022.3377
|
1025
|
1027.8627
|
1030.3242
|
1033.57405
|
1035.7143
|
1038.2735
|
1048.1203
|
1083.5714-1090.8929
|
| 42
|
991.0714-998.5714
|
1033.333
|
1042.2238
|
1044
|
1047.2727
|
1050
|
1052.9325
|
1055.454
|
1058.7832
|
1062
|
1063.5972
|
1073.6842
|
1110-1117.5
|
| 43
|
1014.6684-1022.3469
|
1057.9365
|
1067.0386
|
1068.8571
|
1072.2078
|
1075
|
1078.0023
|
1080.5839
|
1083.9923
|
1087.2857
|
1088.92095
|
1099.2481
|
1136.4286-1144.1071
|
| 44
|
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
|
| 45
|
1061.8622-1069.898
|
1107.1429
|
1116.6684
|
1118.5714
|
1122.0779
|
1125
|
1128.142
|
1130.8436
|
1134.41055
|
1137.8571
|
1139.5684
|
1150.3759
|
1189.2857-1197.3214
|
| 46
|
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
|
| 47
|
1109.0561-1117.449
|
1156.3492
|
1166.2981
|
1168.2857
|
1171.94805
|
1175
|
1178.2816
|
1181.1033
|
1184.8288
|
1188.4286
|
1190.2159
|
1201.5038
|
1242.1429-1250.5357
|
| 48
|
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
|
| 49
|
1156.25-1165
|
1205.5556
|
1215.9278
|
1218
|
1221.8182
|
1225
|
1228.42125
|
1231.6306
|
1235.247
|
1239
|
1240.8634
|
1252.6316
|
1295-1303.75
|
| 50
|
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
|
| 51
|
1203.4439-1212.551
|
1254.7619
|
1265.5575
|
1267.7143
|
1271.6883
|
1275
|
1278.5609
|
1281.6228
|
1285.6653
|
1289.5714
|
1291.5109
|
1303.7594
|
1347.8571-1356.9643
|
| 52
|
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
|
| 53
|
1250.6378-1260.102
|
1303.96825
|
1315.1872
|
1317.4286
|
1321.5584
|
1325
|
1328.7005
|
1331.8825
|
1336.0835
|
1340.1429
|
1342.1584
|
1354.8872
|
1400.7143-1410.1786
|
| 54
|
1227.0408-1236.3265
|
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
|
| 55
|
1297.8316-1307.6531
|
1353.1746
|
1364.8169
|
1367.1429
|
1371.4286
|
1375
|
1378.8418
|
1382.1422
|
1386.5018
|
1390.7143
|
1392.8059
|
1406.015
|
1453.5714-1463.3929
|
| 56
|
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
|