NEJI tables/Greatest error: Difference between revisions

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Listed here are tables of [[Neji|NEJI]] scales up to 41 EDO and with the root harmonics going up to 256. Each table contains NEJI tunings that have consecutively lower greatest errors. Greatest errors are the largest deviation between an EDO interval and it's closest NEJI interval measured in cents. So all intervals in each NEJI have a deviation from their respective EDO interval that is less than or equal to the respective cent value listed on the right column. Note that this information is not prescriptive and that NEJI scales that deviate more from their underlying EDOs are equally deserving of use and exploration. These tables serve as a starting point or map and definitely not any sort of absolute truth.
Listed here are tables of [[Neji|NEJI]] scales up to 34 EDO and with the root harmonics going up to 128. Each table contains NEJI tunings that have consecutively lower greatest errors. Greatest errors are the largest deviation between an EDO interval and it's closest NEJI interval measured in cents. So all intervals in each NEJI have a deviation from their respective EDO interval that is less than or equal to the respective cent value listed on the right column. Note that this information is not prescriptive and that NEJI scales that deviate more from their underlying EDOs are equally deserving of use and exploration. These tables serve as a starting point or map and definitely not any sort of absolute truth.


== 1 EDO ==
== 1 EDO ==

Revision as of 09:05, 28 June 2021

Listed here are tables of NEJI scales up to 34 EDO and with the root harmonics going up to 128. Each table contains NEJI tunings that have consecutively lower greatest errors. Greatest errors are the largest deviation between an EDO interval and it's closest NEJI interval measured in cents. So all intervals in each NEJI have a deviation from their respective EDO interval that is less than or equal to the respective cent value listed on the right column. Note that this information is not prescriptive and that NEJI scales that deviate more from their underlying EDOs are equally deserving of use and exploration. These tables serve as a starting point or map and definitely not any sort of absolute truth.

1 EDO

1 EDO NEJI Scale Greatest Error (¢)
1 0.0000

2 EDO

2 EDO NEJI Scale Greatest Error (¢)
2:3 101.9550
5:7 17.4878
7:10 17.4878
12:17 3.0004
29:41 0.5148
41:58 0.5148
70:99 0.0883

3 EDO

3 EDO NEJI Scale Greatest Error (¢)
3:4:5 98.0450
5:6:8 84.3587
7:9:11 35.0841
12:15:19 13.6863
19:24:30 9.2443
27:34:43 5.6527
39:49:62 4.8308
46:58:73 1.3028
104:131:165 0.9410
119:150:189 0.9096

4 EDO

4 EDO NEJI Scale Greatest Error (¢)
4:5:6:7 101.9550
5:6:7:8 86.3137
7:8:10:12 68.8259
9:11:13:15 47.4079
10:12:14:17 18.6417
15:18:21:25 17.4878
21:25:30:35 17.4878
22:26:31:37 10.7903
31:37:44:52 6.3085
48:57:68:81 5.8650
53:63:75:89 2.6244
63:75:89:106 1.8558
116:138:164:195 0.7808

5 EDO

5 EDO NEJI Scale Greatest Error (¢)
5:6:7:8:9 102.5122
6:7:8:9:10 75.6413
7:8:9:11:12 62.4920
9:10:12:14:16 57.5963
11:13:15:17:19 56.9508
12:14:16:18:21 26.8709
15:17:20:23:26 23.3133
19:22:25:29:33 13.8049
35:40:46:53:61 8.8259
46:53:61:70:80 8.6105
47:54:62:71:82 5.8101
62:71:82:94:108 5.3390
66:76:87:100:115 4.2401
81:93:107:123:141 3.1974
107:123:141:162:186 2.7698
128:147:169:194:223 1.0799

6 EDO

6 EDO NEJI Scale Greatest Error (¢)
7:8:9:10:11:12 66.8709
8:9:10:11:13:14 48.6821
13:15:16:18:21:23 47.7411
14:16:18:20:22:25 35.0841
15:17:19:21:24:27 17.5963
24:27:30:34:38:43 13.6863
26:29:33:37:41:46 12.7453
31:35:39:44:49:55 10.1040
43:48:54:61:68:77 9.5627
49:55:62:69:78:87 7.4225
55:62:69:78:87:98 7.4039
58:65:73:82:92:103 5.7766
65:73:82:92:103:116 3.0407
97:109:122:137:154:173 3.0106
116:130:146:164:184:207 2.7358
123:138:155:174:195:219 2.2210

7 EDO

7 EDO NEJI Scale Greatest Error (¢)
8:9:10:11:12:13:14 59.7455
9:10:11:12:13:15:16 49.0966
12:13:15:16:18:20:22 43.4566
17:19:21:23:25:28:31 22.9684
22:24:27:30:33:36:40 22.6651
26:29:32:35:39:43:47 17.6210
27:30:33:36:40:44:49 16.2407
28:31:34:38:42:46:51 16.2407
31:34:38:42:46:51:56 11.5087
37:41:45:50:55:61:67 8.3979
50:55:61:67:74:82:91 8.1547
55:61:67:74:82:90:100 7.8246
58:64:71:78:86:95:105 7.2622
70:77:85:94:104:115:127 6.7276
76:84:93:102:113:125:138 6.6204
77:85:94:104:114:126:139 6.3901
78:86:95:105:116:128:141 3.5925
95:105:116:128:141:156:172 2.8933

8 EDO

8 EDO NEJI Scale Greatest Error (¢)
9:10:11:12:13:14:15:17 51.0454
10:11:12:13:14:15:17:18 48.0450
14:15:17:18:20:22:24:26 36.1295
18:20:21:23:25:28:30:33 33.1291
19:21:23:25:27:29:32:35 30.7613
20:22:24:26:28:31:34:37 18.6417
30:33:36:39:42:46:50:55 17.4878
31:34:37:40:44:48:52:57 9.9198
43:47:51:56:61:66:72:79 8.2448
53:58:63:69:75:82:89:97 6.7248
65:71:77:84:92:100:109:119 6.6975
68:74:81:88:96:105:114:125 5.4874
78:85:93:101:110:120:131:143 4.8510
90:98:107:117:127:139:151:165 4.2139
91:99:108:118:129:140:153:167 4.2139
101:110:120:131:143:156:170:185 2.6289

9 EDO

9 EDO NEJI Scale Greatest Error (¢)
10:11:12:13:14:15:16:17:19 54.2139
11:12:13:14:15:16:17:19:20 46.3625
12:13:14:15:16:18:19:21:22 35.4926
16:17:19:20:22:24:25:27:30 35.2883
17:18:20:21:23:25:27:29:31 34.3787
20:22:23:25:27:29:32:34:37 31.6709
22:24:26:28:30:32:35:38:41 22.5431
24:26:28:30:33:35:38:41:44 17.9846
28:30:33:35:38:41:44:48:52 17.7804
34:37:40:43:46:50:54:58:63 14.6916
36:39:42:45:49:53:57:62:67 13.6863
38:41:44:48:52:56:60:65:70 12.8617
41:44:48:52:56:60:65:70:76 11.4653
46:50:54:58:63:68:73:79:85 11.1282
47:51:55:59:64:69:75:81:87 9.0758
49:53:57:62:67:72:78:84:91 8.3219
53:57:62:67:72:78:84:91:98 7.3699
61:66:71:77:83:90:97:105:113 6.8765
72:78:84:91:98:106:114:123:133 6.2259
73:79:85:92:99:107:116:125:135 5.8949
77:83:90:97:105:113:122:132:143 5.0351
85:92:99:107:116:125:135:146:157 4.9747
89:96:104:112:121:131:141:153:165 4.6520
109:118:127:137:148:160:173:187:202 4.1827
122:132:142:154:166:179:194:209:226 3.8549
127:137:148:160:173:187:202:218:235 3.4322

10 EDO

10 EDO NEJI Scale Greatest Error (¢)
11:12:13:14:15:16:17:18:19:21 57.5080
12:13:14:15:16:17:18:19:21:22 44.4420
13:14:15:16:17:18:20:21:23:24 36.6177
16:17:18:20:21:23:24:26:28:30 36.0900
18:19:21:22:24:25:27:29:31:34 31.2826
19:20:22:23:25:27:29:31:33:35 31.1993
22:24:25:27:29:31:33:36:38:41 30.6371
23:25:26:28:30:33:35:37:40:43 27.7467
24:26:28:30:32:34:36:39:42:45 26.8709
25:27:29:31:33:35:38:41:44:47 18.6905
26:28:30:32:34:37:39:42:45:49 18.0450
29:31:33:36:38:41:44:47:50:54 16.9498
38:41:44:47:50:54:58:62:66:71 13.8049
40:43:46:49:53:57:61:65:70:75 13.1543
42:45:48:52:55:59:64:68:73:78 13.1493
45:48:52:55:59:64:68:73:78:84 12.5921
46:49:53:57:61:65:70:75:80:86 11.1937
52:56:60:64:69:74:79:84:91:97 10.8164
53:57:61:65:70:75:80:86:92:99 7.1908
66:71:76:81:87:93:100:107:115:123 6.4236
73:78:84:90:96:103:111:119:127:136 5.9918
82:88:94:101:108:116:124:133:143:153 4.0268
109:117:125:134:144:154:165:177:190:203 3.4181
126:135:145:155:166:178:191:205:219:235 3.1550

11 EDO

11 EDO NEJI Scale Greatest Error (¢)
13:14:15:16:17:18:19:20:22:23:24 38.0630
14:15:16:17:18:19:20:22:23:25:26 37.0576
16:17:18:19:21:22:23:25:26:28:30 34.4173
20:21:23:24:26:27:29:31:33:35:38 25.9033
25:27:28:30:32:34:36:39:41:44:47 24.1467
27:29:31:33:35:37:39:42:45:48:51 20.9888
28:30:32:34:36:38:41:44:46:49:53 18.8557
29:31:33:35:37:40:42:45:48:51:54 14.6213
35:37:40:42:45:48:51:54:58:62:66 12.9923
43:46:49:52:55:59:63:67:71:76:81 10.2497
57:61:65:69:73:78:83:89:94:101:107 9.1915
59:63:67:71:76:81:86:92:98:104:111 6.7478
76:81:86:92:98:104:111:118:126:134:143 4.1771
105:112:119:127:135:144:153:163:174:185:197 2.7747

12 EDO

12 EDO NEJI Scale Greatest Error (¢)
14:15:16:17:18:19:20:21:22:24:25:26 36.1295
16:17:18:19:20:21:23:24:25:27:29:30 29.5772
22:23:25:26:28:29:31:33:35:37:39:42 23.0436
30:32:34:36:38:40:42:45:48:50:53:57 17.4878
31:33:35:37:39:41:44:46:49:52:55:59 16.7612
32:34:36:38:40:43:45:48:51:54:57:60 13.6863
46:49:52:55:58:61:65:69:73:77:82:87 12.2533
47:50:53:56:59:63:66:70:75:79:84:89 12.2337
49:52:55:58:62:65:69:73:78:82:87:92 10.8104
51:54:57:61:64:68:72:76:81:86:91:96 9.9744
63:67:71:75:79:84:89:94:100:106:112:119 8.1990
65:69:73:77:82:87:92:97:103:109:116:123 6.9460
80:85:90:95:101:107:113:120:127:135:143:151 5.8650
84:89:94:100:106:112:119:126:133:141:150:159 5.2743
96:102:108:114:121:128:136:144:152:161:171:181 4.9554
104:110:117:124:131:139:147:156:165:175:185:196 4.5079
116:123:130:138:146:155:164:174:184:195:207:219 2.7358

13 EDO

13 EDO NEJI Scale Greatest Error (¢)
15:16:17:18:19:20:21:22:23:24:26:27:28 40.0135
16:17:18:19:20:21:22:23:25:26:27:29:30 34.1659
17:18:19:20:21:22:23:25:26:27:29:31:32 30.5272
21:22:23:25:26:27:29:31:32:34:36:38:40 28.1008
24:25:27:28:30:31:33:35:37:39:41:43:46 21.6353
30:32:33:35:37:39:41:44:46:48:51:54:57 19.6112
33:35:37:39:41:43:45:48:51:53:56:59:63 16.8954
34:36:38:40:42:44:47:49:52:55:58:61:64 15.1759
35:37:39:41:43:46:48:51:54:57:60:63:66 13.5592
42:44:47:49:52:55:58:61:64:68:72:76:80 11.7707
50:53:56:59:62:65:69:73:77:81:85:90:95 11.5831
51:54:57:60:63:67:70:74:78:82:87:92:97 10.8582
52:55:58:61:64:68:72:76:80:84:89:93:99 10.8315
53:56:59:62:66:69:73:77:81:86:90:95:100 10.5376
56:59:62:66:69:73:77:81:86:90:95:101:106 9.3714
68:72:76:80:84:89:94:99:104:110:116:122:129 7.9422
70:74:78:82:87:91:96:102:107:113:119:126:133 7.3245
71:75:79:83:88:93:98:103:109:115:121:128:135 6.5723
87:92:97:102:108:114:120:126:133:141:148:156:165 6.3974
88:93:98:103:109:115:121:128:135:142:150:158:167 4.4404
109:115:121:128:135:142:150:158:167:176:186:196:207 3.8007

14 EDO

14 EDO NEJI Scale Greatest Error (¢)
17:18:19:20:21:22:23:24:25:27:28:29:31:32 29.4810
19:20:21:22:23:24:26:27:28:30:31:33:34:36 28.7289
20:21:22:23:24:26:27:28:30:31:33:34:36:38 27.2159
21:22:23:24:26:27:28:30:31:33:34:36:38:40 26.8896
26:27:29:30:32:33:35:37:39:41:43:45:47:49 20.3769
32:34:35:37:39:41:43:45:48:50:53:55:58:61 19.2411
35:37:39:41:43:45:47:49:52:55:57:60:63:67 17.4878
36:38:40:42:44:46:48:51:53:56:59:62:65:69 16.2407
37:39:41:43:45:47:50:52:55:58:61:64:67:70 14.4088
38:40:42:44:46:49:51:54:56:59:62:66:69:72 14.4014
45:47:50:52:55:58:61:64:67:70:74:78:82:86 12.3754
46:48:51:53:56:59:62:65:68:72:75:79:83:88 12.0336
54:57:60:63:66:69:73:76:80:84:89:93:98:103 10.9751
56:59:62:65:68:72:75:79:83:87:92:97:101:107 8.7223
58:61:64:67:71:74:78:82:86:91:95:100:105:110 8.3478
74:78:82:86:90:95:100:105:110:116:121:128:134:141 6.9977
77:81:85:89:94:99:104:109:114:120:126:133:139:147 6.5127
93:98:103:108:113:119:125:132:138:145:153:160:168:177 6.2824
95:100:105:110:116:122:128:134:141:148:156:164:172:181 4.5197
113:119:125:131:138:145:152:160:168:176:185:195:205:215 4.3254
118:124:130:137:144:151:159:167:175:184:194:203:214:225 3.7589

15 EDO

15 EDO NEJI Scale Greatest Error (¢)
18:19:20:21:22:23:24:25:26:27:29:30:31:33:34 27.4079
20:21:22:23:24:25:26:28:29:30:32:33:35:36:38 25.7861
28:29:31:32:34:35:37:39:41:42:44:47:49:51:53 20.2365
34:36:37:39:41:43:45:47:49:52:54:57:59:62:65 18.9546
35:37:38:40:42:44:46:48:51:53:56:58:61:64:67 17.6266
38:40:42:44:46:48:50:53:55:58:60:63:66:69:73 15.9915
39:41:43:45:47:49:51:54:56:59:62:65:68:71:74 15.5723
40:42:44:46:48:50:53:55:58:61:63:66:70:73:76 13.6863
41:43:45:47:49:52:54:57:59:62:65:68:71:75:78 11.4653
49:51:54:56:59:62:65:68:71:74:78:81:85:89:94 10.7414
58:61:64:67:70:73:77:80:84:88:92:96:101:106:111 10.5667
59:62:65:68:71:74:78:82:85:89:94:98:103:108:113 9.8907
60:63:66:69:72:76:79:83:87:91:95:100:104:109:115 9.2443
63:66:69:72:76:79:83:87:91:95:100:105:110:115:120 8.9092
65:68:71:75:78:82:86:90:94:99:103:108:113:119:124 8.3866
69:72:76:79:83:87:91:95:100:105:110:115:120:126:132 7.4023
80:84:88:92:96:101:106:111:116:121:127:133:139:146:153 7.1908
82:86:90:94:99:103:108:113:119:124:130:136:143:150:157 6.1655
100:105:110:115:120:126:132:138:145:152:159:166:174:182:191 5.0042
112:117:123:129:135:141:148:155:162:170:178:186:195:204:214 4.6468
122:128:134:140:147:154:161:169:177:185:194:203:212:222:233 4.2419
123:129:135:141:148:155:162:170:178:186:195:204:214:224:235 4.1070

16 EDO

16 EDO NEJI Scale Greatest Error (¢)
19:20:21:22:23:24:25:26:27:28:29:31:32:33:35:36 30.7613
20:21:22:23:24:25:26:27:28:30:31:32:34:35:37:38 26.9550
23:24:25:26:27:29:30:31:33:34:35:37:39:40:42:44 26.3028
26:27:28:30:31:32:34:35:37:38:40:42:44:46:48:50 22.7411
30:31:33:34:36:37:39:41:42:44:46:48:50:53:55:57 18.2331
37:39:40:42:44:46:48:50:52:55:57:60:62:65:68:71 16.1386
41:43:45:47:49:51:53:56:58:61:63:66:69:72:75:79 14.7635
43:45:47:49:51:53:56:58:61:64:66:69:72:76:79:82 13.4823
44:46:48:50:52:55:57:60:62:65:68:71:74:77:81:84 11.9508
48:50:52:55:57:60:62:65:68:71:74:77:81:84:88:92 11.4273
52:54:57:59:62:65:67:70:74:77:80:84:87:91:95:100 11.3137
53:55:58:60:63:66:69:72:75:78:82:85:89:93:97:102 10.8729
62:65:68:71:74:77:80:84:88:92:96:100:104:109:114:119 9.9198
63:66:69:72:75:78:82:85:89:93:97:101:106:111:116:121 7.8821
65:68:71:74:77:81:84:88:92:96:100:105:109:114:119:124 6.8058
74:77:81:84:88:92:96:100:105:109:114:119:124:130:136:142 6.4760
88:92:96:100:105:109:114:119:124:130:136:142:148:155:161:169 6.2824
91:95:99:104:108:113:118:123:129:134:140:147:153:160:167:174 6.1741
106:111:116:121:126:132:137:144:150:157:163:171:178:186:194:203 6.0726
107:112:117:122:127:133:139:145:151:158:165:172:180:188:196:205 4.6773

17 EDO

17 EDO NEJI Scale Greatest Error (¢)
20:21:22:23:24:25:26:27:28:29:30:31:33:34:35:37:38 33.3725
21:22:23:24:25:26:27:28:29:30:32:33:34:36:37:39:40 23.3367
23:24:25:26:27:28:29:31:32:33:35:36:38:39:41:42:44 22.6436
28:29:30:32:33:34:36:37:39:40:42:44:46:48:50:52:54 21.7337
32:33:35:36:38:39:41:43:44:46:48:50:52:54:57:59:61 17.4001
39:41:42:44:46:48:50:52:54:56:59:61:64:66:69:72:75 15.9915
40:42:43:45:47:49:51:53:55:58:60:63:65:68:71:74:77 15.9725
43:45:47:49:51:53:55:57:60:62:65:67:70:73:76:79:83 14.3694
44:46:48:50:52:54:56:59:61:64:66:69:72:75:78:81:84 13.7361
46:48:50:52:54:56:59:61:64:66:69:72:75:78:81:85:88 12.3896
49:51:53:55:58:60:63:65:68:71:74:77:80:83:87:90:94 11.7849
55:57:60:62:65:67:70:73:76:79:83:86:90:93:97:101:106 11.2658
57:59:62:64:67:70:73:76:79:82:86:89:93:97:101:105:109 11.2327
62:65:67:70:73:76:79:82:86:89:93:97:101:105:110:114:119 11.2176
63:66:68:71:74:77:80:84:87:91:95:99:103:107:111:116:121 9.9516
66:69:72:75:78:81:84:88:91:95:99:103:108:112:117:122:127 9.5448
67:70:73:76:79:82:86:89:93:97:101:105:109:114:119:124:129 8.6813
69:72:75:78:81:85:88:92:96:100:104:108:113:117:122:127:132 8.0986
72:75:78:81:85:88:92:96:100:104:108:113:117:122:127:133:138 7.8547
78:81:85:88:92:96:100:104:108:113:117:122:127:133:138:144:150 7.6100
79:82:86:89:93:97:101:105:109:114:119:124:129:134:140:146:152 7.4216
87:91:94:98:102:107:111:116:121:126:131:136:142:148:154:160:167 7.2331
90:94:98:102:106:110:115:120:125:130:135:141:147:153:159:166:173 6.2516
94:98:102:106:111:115:120:125:130:136:141:147:153:160:166:173:180 5.4395
102:106:111:115:120:125:130:136:141:147:153:160:166:173:181:188:196 5.2122
114:119:124:129:134:140:146:152:158:165:171:179:186:194:202:210:219 4.8245
115:120:125:130:135:141:147:153:159:166:173:180:188:195:204:212:221 4.7623

18 EDO

18 EDO NEJI Scale Greatest Error (¢)
22:23:24:25:26:27:28:29:30:31:32:34:35:36:38:39:41:42 22.5431
30:31:32:34:35:36:38:39:41:42:44:46:48:49:51:53:56:58 21.6020
34:35:37:38:40:41:43:45:46:48:50:52:54:56:58:61:63:65 18.6016
35:36:38:39:41:42:44:46:48:49:51:53:56:58:60:62:65:67 17.8963
40:42:43:45:47:48:50:52:54:57:59:61:63:66:69:71:74:77 17.8005
41:43:44:46:48:50:52:54:56:58:60:63:65:68:70:73:76:79 15.7886
42:44:45:47:49:51:53:55:57:59:62:64:67:69:72:75:78:81 13.8905
46:48:50:52:54:56:58:60:63:65:68:70:73:76:79:82:85:89 12.2533
49:51:53:55:57:59:62:64:67:69:72:75:78:81:84:87:91:94 11.8135
55:57:59:62:64:67:69:72:75:78:81:84:87:91:94:98:102:106 11.7933
58:60:63:65:68:70:73:76:79:82:85:89:92:96:99:103:107:112 9.8254
67:70:72:75:78:81:84:88:91:95:98:102:106:111:115:119:124:129 9.1659
71:74:77:80:83:86:89:93:97:100:104:108:113:117:122:127:131:137 8.8164
72:75:78:81:84:87:91:94:98:102:106:110:114:119:123:128:133:139 6.2259
96:100:104:108:112:116:121:126:131:136:141:147:152:158:165:171:178:185 5.7111
100:104:108:112:117:121:126:131:136:141:147:153:159:165:171:178:185:192 5.1658
109:113:118:122:127:132:137:143:148:154:160:166:173:180:187:194:202:210 5.1072
122:127:132:137:142:148:154:160:166:173:179:186:194:201:209:217:226:235 4.6691
124:129:134:139:145:150:156:162:169:175:182:189:197:205:213:221:230:239 4.1887

19 EDO

19 EDO NEJI Scale Greatest Error (¢)
23:24:25:26:27:28:29:30:31:32:33:34:36:37:38:40:41:43:44 24.9591
24:25:26:27:28:29:30:31:32:33:35:36:37:39:40:41:43:45:46 21.6057
31:32:33:35:36:37:39:40:42:43:45:46:48:50:52:54:56:58:60 20.6304
34:35:37:38:39:41:42:44:46:47:49:51:53:55:57:59:61:63:66 20.0728
36:37:39:40:42:43:45:46:48:50:52:54:56:58:60:62:65:67:69 17.7409
37:38:40:41:43:44:46:48:50:51:53:55:57:59:62:64:66:69:71 16.9889
43:45:46:48:50:52:54:56:58:60:62:64:67:69:72:74:77:80:83 15.5481
44:46:47:49:51:53:55:57:59:61:63:66:68:71:73:76:79:82:85 13.7985
49:51:53:55:57:59:61:63:66:68:71:73:76:79:82:85:88:91:94 10.5062
61:63:66:68:71:73:76:79:82:85:88:91:95:98:102:105:109:113:118 10.1802
62:64:67:69:72:74:77:80:83:86:89:93:96:100:103:107:111:115:120 9.4810
71:74:76:79:82:85:88:92:95:99:102:106:110:114:118:123:127:132:137 8.4993
75:78:81:84:87:90:93:97:100:104:108:112:116:121:125:130:134:139:145 7.2182
89:92:96:99:103:107:111:115:119:124:128:133:138:143:148:154:160:165:172 5.7637
101:105:109:113:117:121:126:130:135:140:145:151:156:162:168:175:181:188:195 5.6516
103:107:111:115:119:124:128:133:138:143:148:154:160:166:172:178:185:192:199 5.4455
106:110:114:118:123:127:132:137:142:147:153:158:164:170:177:183:190:197:204 4.8813
110:114:118:123:127:132:137:142:147:153:158:164:170:177:183:190:197:205:212 4.7758
128:133:138:143:148:154:159:165:171:178:184:191:198:206:213:221:229:238:247 4.3544

20 EDO

20 EDO NEJI Scale Greatest Error (¢)
24:25:26:27:28:29:30:31:32:33:34:35:36:38:39:40:42:43:45:46 27.6222
25:26:27:28:29:30:31:32:33:34:35:37:38:39:41:42:44:45:47:48 18.7166
33:34:35:37:38:39:41:42:44:45:47:48:50:52:54:55:57:59:62:64 18.1333
38:39:41:42:44:45:47:48:50:52:54:56:58:60:62:64:66:68:71:73 15.5580
46:48:49:51:53:55:57:59:61:63:65:67:70:72:75:77:80:83:86:89 13.6807
47:49:50:52:54:56:58:60:62:64:66:69:71:74:76:79:82:85:88:91 12.8792
51:53:55:57:59:61:63:65:67:70:72:75:77:80:83:86:89:92:95:99 12.5576
52:54:56:58:60:62:64:66:69:71:74:76:79:82:84:87:91:94:97:100 10.8164
55:57:59:61:63:65:68:70:73:75:78:81:83:86:89:92:96:99:103:106 10.7903
58:60:62:64:67:69:71:74:77:79:82:85:88:91:94:98:101:105:108:112 10.5667
65:67:70:72:75:77:80:83:86:89:92:95:99:102:106:109:113:117:121:126 8.3866
75:78:80:83:86:89:92:96:99:102:106:110:114:118:122:126:131:135:140:145 8.2687
79:82:85:88:91:94:97:101:104:108:112:116:120:124:128:133:138:142:147:153 6.7810
81:84:87:90:93:96:100:103:107:111:115:119:123:127:132:136:141:146:151:156 6.7681
85:88:91:94:98:101:105:108:112:116:120:124:129:133:138:143:148:153:159:164 6.3827
88:91:94:98:101:105:108:112:116:120:124:129:133:138:143:148:153:159:164:170 6.3339
94:97:101:104:108:112:116:120:124:128:133:138:142:148:153:158:164:169:175:182 5.8374
107:111:115:119:123:127:132:136:141:146:151:157:162:168:174:180:186:193:200:207 4.8277
112:116:120:124:129:133:138:143:148:153:158:164:170:176:182:188:195:202:209:216 4.6468
121:125:130:134:139:144:149:154:160:165:171:177:183:190:197:203:211:218:226:234 4.2328

21 EDO

21 EDO NEJI Scale Greatest Error (¢)
26:27:28:29:30:31:32:33:34:35:36:37:39:40:41:43:44:46:47:49:50 19.1696
35:36:37:39:40:41:43:44:46:47:49:50:52:54:56:57:59:61:63:66:68 18.0813
38:39:41:42:43:45:46:48:49:51:53:55:56:58:60:62:64:67:69:71:74 17.2637
40:41:43:44:46:47:49:50:52:54:56:58:59:61:63:66:68:70:72:75:77 14.6921
48:50:51:53:55:57:59:60:63:65:67:69:71:74:76:79:81:84:87:90:93 14.3595
49:51:52:54:56:58:60:62:64:66:68:70:73:75:78:80:83:86:89:92:95 12.1157
54:56:58:60:62:64:66:68:70:73:75:78:80:83:86:89:92:95:98:101:104 10.9751
56:58:60:62:64:66:68:71:73:75:78:81:83:86:89:92:95:98:101:105:108 10.8706
58:60:62:64:66:68:71:73:76:78:81:83:86:89:92:95:98:102:105:109:112 10.7930
59:61:63:65:67:70:72:74:77:79:82:85:88:91:94:97:100:103:107:110:114 10.2537
61:63:65:67:70:72:74:77:79:82:85:88:91:94:97:100:103:107:110:114:118 9.6834
68:70:73:75:78:80:83:86:89:92:95:98:101:104:108:112:115:119:123:127:132 9.0332
69:71:74:76:79:81:84:87:90:93:96:99:103:106:110:113:117:121:125:129:134 8.1236
79:82:84:87:90:93:96:100:103:106:110:114:117:121:125:130:134:138:143:148:153 8.0905
83:86:89:92:95:98:101:105:108:112:115:119:123:127:132:136:141:145:150:155:161 7.0473
84:87:90:93:96:99:102:106:109:113:117:121:125:129:133:138:142:147:152:157:163 6.7276
85:88:91:94:97:100:104:107:111:114:118:122:126:131:135:139:144:149:154:159:164 6.4014
93:96:99:103:106:110:113:117:121:125:129:134:138:143:148:153:158:163:168:174:180 6.0483
99:102:106:109:113:117:121:125:129:133:138:142:147:152:157:162:168:174:179:185:192 5.4604
113:117:121:125:129:133:138:142:147:152:157:162:168:174:179:185:192:198:205:212:219 4.9662
115:119:123:127:131:136:140:145:150:155:160:165:171:177:183:189:195:202:208:215:223 4.6531
118:122:126:130:135:139:144:149:154:159:164:170:175:181:187:194:200:207:214:221:228 4.4356
122:126:130:135:139:144:149:154:159:164:170:175:181:187:194:200:207:214:221:228:236 4.3291
127:131:136:140:145:150:155:160:165:171:177:183:189:195:202:208:215:223:230:238:246 4.2481
128:132:137:141:146:151:156:161:167:172:178:184:190:197:203:210:217:224:232:240:248 3.9669

22 EDO

22 EDO NEJI Scale Greatest Error (¢)
27:28:29:30:31:32:33:34:35:36:37:38:39:41:42:43:45:46:48:49:51:52 21.4077
28:29:30:31:32:33:34:35:36:37:38:40:41:42:44:45:46:48:49:51:53:54 18.8557
30:31:32:33:34:35:36:37:39:40:41:42:44:45:47:48:50:51:53:55:56:58 18.7429
37:38:39:41:42:43:45:46:48:49:51:52:54:56:58:59:61:63:65:67:69:72 17.9523
40:41:43:44:45:47:48:50:51:53:55:57:58:60:62:64:66:68:71:73:75:78 16.1131
42:43:45:46:48:49:51:52:54:56:58:59:61:63:65:67:70:72:74:76:79:81 13.8087
51:53:54:56:58:60:62:64:66:68:70:72:74:77:79:82:84:87:90:93:96:99 12.0487
52:54:55:57:59:61:63:65:67:69:71:74:76:78:81:83:86:89:92:95:98:101 11.9869
57:59:61:63:65:67:69:71:73:76:78:81:83:86:89:91:94:97:101:104:107:110 9.6315
64:66:68:70:73:75:77:80:82:85:88:91:93:96:99:103:106:109:113:116:120:124 9.6077
72:74:77:79:82:84:87:90:93:96:99:102:105:108:112:115:119:123:127:131:135:140 7.5038
87:90:93:96:99:102:105:108:112:116:119:123:127:131:135:140:144:149:153:158:163:169 7.4854
88:91:94:97:100:103:106:110:113:117:121:124:128:133:137:141:146:150:155:160:165:171 6.2824
92:95:98:101:104:108:111:115:118:122:126:130:134:139:143:148:152:157:162:167:173:178 5.9285
102:105:109:112:116:119:123:127:131:135:140:144:149:154:159:164:169:174:180:186:192:198 5.8564
117:121:125:129:133:137:141:146:151:155:160:165:171:176:182:188:194:200:206:213:220:227 5.4126
118:122:126:130:134:138:143:147:152:157:162:167:172:178:183:189:195:202:208:215:222:229 5.4012
119:123:127:131:135:139:144:148:153:158:163:168:174:179:185:191:197:203:210:217:223:231 4.2555

23 EDO

23 EDO NEJI Scale Greatest Error (¢)
28:29:30:31:32:33:34:35:36:37:38:39:40:41:43:44:45:47:48:50:51:53:54 23.5775
29:30:31:32:33:34:35:36:37:38:39:40:42:43:44:46:47:48:50:51:53:55:56 17.1765
42:43:45:46:47:49:50:52:53:55:57:59:60:62:64:66:68:70:72:74:77:79:82 15.0950
44:45:47:48:50:51:53:54:56:58:59:61:63:65:67:69:71:73:76:78:80:83:85 13.8854
52:54:55:57:59:60:62:64:66:68:70:72:75:77:79:82:84:87:89:92:95:98:101 13.1634
54:56:57:59:61:63:65:67:69:71:73:75:78:80:82:85:87:90:93:96:99:102:105 10.7870
60:62:64:66:68:70:72:74:76:79:81:84:86:89:91:94:97:100:103:106:110:113:116 9.3499
70:72:74:77:79:81:84:86:89:92:95:98:100:104:107:110:113:117:120:124:128:132:136 8.8393
75:77:80:82:85:87:90:93:95:98:101:104:108:111:114:118:121:125:129:133:137:141:146 8.1470
76:78:81:83:86:88:91:94:97:100:103:106:109:112:116:119:123:127:131:135:139:143:147 7.2043
86:89:91:94:97:100:103:106:109:113:116:120:123:127:131:135:139:144:148:152:157:162:167 7.1885
91:94:97:100:103:106:109:112:116:119:123:127:131:135:139:143:147:152:157:161:166:171:177 6.7521
92:95:98:101:104:107:110:114:117:121:124:128:132:136:140:145:149:154:158:163:168:173:179 5.9763
94:97:100:103:106:109:113:116:120:123:127:131:135:139:143:148:152:157:162:167:172:177:182 5.6647
107:110:114:117:121:124:128:132:136:140:145:149:154:158:163:168:173:179:184:190:196:201:208 5.5944
109:112:116:119:123:127:131:135:139:143:147:152:156:161:166:171:177:182:188:193:199:205:212 5.4255
119:123:126:130:134:138:143:147:151:156:161:166:171:176:181:187:193:199:205:211:217:224:231 5.3932
123:127:131:135:139:143:147:152:157:161:166:171:177:182:188:193:199:205:212:218:225:232:239 5.1362
124:128:132:136:140:144:149:153:158:163:168:173:178:183:189:195:201:207:213:220:227:233:241 4.9232
125:129:133:137:141:145:150:154:159:164:169:174:179:185:191:196:202:209:215:222:228:235:243 4.4492

24 EDO

24 EDO NEJI Scale Greatest Error (¢)
30:31:32:33:34:35:36:37:38:39:40:41:42:44:45:46:48:49:50:52:53:55:57:58 17.4878
31:32:33:34:35:36:37:38:39:40:41:43:44:45:46:48:49:51:52:54:55:57:59:60 16.7612
40:41:42:44:45:46:48:49:50:52:53:55:57:58:60:62:63:65:67:69:71:73:76:78 15.6413
44:45:47:48:49:51:52:54:55:57:59:60:62:64:66:68:70:72:74:76:78:81:83:85 14.1887
46:47:49:50:52:53:55:56:58:60:61:63:65:67:69:71:73:75:77:80:82:84:87:89 12.7677
55:57:58:60:62:64:65:67:69:71:73:76:78:80:82:85:87:90:92:95:98:101:104:107 12.3683
56:58:59:61:63:65:67:69:71:73:75:77:79:82:84:86:89:91:94:97:100:103:106:109 11.4034
57:59:60:62:64:66:68:70:72:74:76:78:81:83:85:88:90:93:96:99:102:105:108:111 11.1993
62:64:66:68:70:72:74:76:78:80:83:85:88:90:93:96:98:101:104:107:110:114:117:120 10.1040
63:65:67:69:71:73:75:77:79:82:84:87:89:92:94:97:100:103:106:109:112:116:119:122 8.7963
73:75:77:80:82:84:87:89:92:95:97:100:103:106:109:113:116:119:123:126:130:134:138:142 8.5242
79:81:84:86:89:91:94:97:100:102:105:109:112:115:118:122:125:129:133:137:141:145:149:154 8.0905
80:82:85:87:90:92:95:98:101:104:107:110:113:116:120:123:127:131:135:138:143:147:151:155 8.0394
81:83:86:88:91:94:96:99:102:105:108:111:115:118:121:125:129:132:136:140:144:149:153:157 7.7727
89:92:94:97:100:103:106:109:112:115:119:122:126:130:133:137:141:145:150:154:159:163:168:173 7.3942
90:93:95:98:101:104:107:110:113:117:120:124:127:131:135:139:143:147:151:156:160:165:170:175 6.7669
95:98:101:104:107:110:113:116:120:123:127:131:134:138:142:147:151:155:160:164:169:174:179:185 6.7009
97:100:103:106:109:112:115:119:122:126:129:133:137:141:145:150:154:158:163:168:173:178:183:188 6.4227
99:102:105:108:111:114:118:121:125:128:132:136:140:144:148:153:157:162:166:171:176:182:187:192 5.7599
101:104:107:110:113:117:120:124:127:131:135:139:143:147:151:156:160:165:170:175:180:185:191:196 5.6390
107:110:113:117:120:124:127:131:135:139:143:147:151:156:160:165:170:175:180:185:191:196:202:208 5.5456
123:127:130:134:138:142:146:151:155:160:164:169:174:179:184:190:195:201:207:213:219:226:232:239 5.4042
128:132:136:140:144:148:152:157:161:166:171:176:181:186:192:197:203:209:215:222:228:235:242:249 5.1396

25 EDO

25 EDO NEJI Scale Greatest Error (¢)
31:32:33:34:35:36:37:38:39:40:41:42:43:44:46:47:48:50:51:52:54:55:57:59:60 18.8744
32:33:34:35:36:37:38:39:40:41:42:43:45:46:47:49:50:51:53:54:56:57:59:61:62 17.6518
39:40:41:42:44:45:46:47:49:50:51:53:54:56:57:59:61:62:64:66:68:70:72:74:76 16.8353
42:43:44:46:47:48:50:51:52:54:55:57:59:60:62:64:65:67:69:71:73:75:77:79:82 15.4630
46:47:49:50:51:53:54:56:57:59:61:62:64:66:68:70:72:74:76:78:80:82:85:87:89 13.3775
48:49:51:52:54:55:57:58:60:62:63:65:67:69:71:73:75:77:79:81:84:86:88:91:93 12.3032
59:61:62:64:66:68:70:72:74:76:78:80:82:85:87:89:92:95:97:100:103:106:109:112:115 10.1361
65:67:69:71:73:75:77:79:81:83:86:88:91:93:96:99:101:104:107:110:113:116:120:123:126 8.9481
67:69:71:73:75:77:79:81:84:86:88:91:93:96:99:102:104:107:110:113:117:120:123:127:130 8.3165
82:84:87:89:92:94:97:100:102:105:108:111:114:118:121:124:128:131:135:139:143:147:151:155:160 7.5650
92:95:97:100:103:106:109:112:115:118:121:125:128:132:136:139:143:147:152:156:160:165:169:174:179 7.5524
93:96:98:101:104:107:110:113:116:119:123:126:130:133:137:141:145:149:153:157:162:166:171:176:181 6.9644
94:97:99:102:105:108:111:114:117:121:124:128:131:135:139:142:146:151:155:159:164:168:173:178:183 6.4934
100:103:106:109:112:115:118:121:125:128:132:136:139:143:147:152:156:160:165:169:174:179:184:189:195 5.9915
101:104:107:110:113:116:119:123:126:130:133:137:141:145:149:153:157:162:166:171:176:181:186:191:196 5.1636
117:120:124:127:131:134:138:142:146:150:154:159:163:168:172:177:182:187:193:198:204:209:215:221:228 5.1306

26 EDO

26 EDO NEJI Scale Greatest Error (¢)
32:33:34:35:36:37:38:39:40:41:42:43:44:45:46:48:49:50:52:53:55:56:58:59:61:62 20.5899
33:34:35:36:37:38:39:40:41:42:43:44:45:47:48:49:51:52:53:55:56:58:59:61:63:64 16.8954
34:35:36:37:38:39:40:41:42:43:44:46:47:48:49:51:52:53:55:56:58:60:61:63:64:66 16.0662
43:44:45:47:48:49:50:52:53:55:56:58:59:61:62:64:66:68:69:71:73:75:77:79:82:84 15.8134
44:45:46:48:49:50:52:53:54:56:57:59:61:62:64:66:67:69:71:73:75:77:79:81:83:86 15.3513
47:48:50:51:52:54:55:57:58:60:61:63:65:66:68:70:72:74:76:78:80:82:84:87:89:92 14.8131
48:49:51:52:53:55:56:58:59:61:63:64:66:68:70:72:74:76:78:80:82:84:86:89:91:93 13.0658
50:51:53:54:56:57:59:60:62:64:65:67:69:71:73:75:77:79:81:83:85:88:90:92:95:97 11.9880
59:61:62:64:66:67:69:71:73:75:77:79:81:83:86:88:90:93:95:98:101:103:106:109:112:115 11.5593
60:62:63:65:67:69:70:72:74:76:78:80:83:85:87:89:92:94:97:100:102:105:108:111:114:117 11.1914
62:64:65:67:69:71:73:75:77:79:81:83:85:88:90:92:95:98:100:103:106:109:111:114:118:121 10.5019
68:70:72:74:76:78:80:82:84:86:89:91:94:96:99:101:104:107:110:113:116:119:122:126:129:132 8.8223
70:72:74:76:78:80:82:84:87:89:91:94:96:99:102:104:107:110:113:116:119:123:126:129:133:136 7.4356
86:88:91:93:96:98:101:104:106:109:112:115:118:122:125:128:132:135:139:143:147:151:155:159:163:167 7.2439
87:89:92:94:97:99:102:105:108:111:114:117:120:123:126:130:133:137:141:144:148:152:156:161:165:169 7.0735
97:100:102:105:108:111:114:117:120:123:127:130:134:137:141:145:149:153:157:161:165:170:174:179:184:189 6.5782
98:101:103:106:109:112:115:118:121:125:128:131:135:139:142:146:150:154:158:163:167:172:176:181:186:191 6.1589
104:107:110:113:116:119:122:125:129:132:136:139:143:147:151:155:159:164:168:173:177:182:187:192:197:203 5.4907
106:109:112:115:118:121:124:128:131:135:138:142:146:150:154:158:162:167:171:176:181:186:191:196:201:206 5.3920
121:124:128:131:135:138:142:146:150:154:158:162:167:171:176:180:185:190:196:201:206:212:218:223:229:236 5.0564
122:125:129:132:136:139:143:147:151:155:159:164:168:173:177:182:187:192:197:202:208:214:219:225:231:238 4.9247

27 EDO

27 EDO NEJI Scale Greatest Error (¢)
34:35:36:37:38:39:40:41:42:43:44:45:46:47:49:50:51:53:54:55:57:58:60:61:63:65:66 17.2266
35:36:37:38:39:40:41:42:43:44:45:46:48:49:50:51:53:54:56:57:58:60:62:63:65:66:68 15.7542
46:47:48:50:51:52:54:55:56:58:59:61:63:64:66:68:69:71:73:75:77:79:81:83:85:87:90 15.2082
49:50:52:53:54:56:57:59:60:62:63:65:67:68:70:72:74:76:78:80:82:84:86:88:91:93:96 13.9870
50:51:53:54:55:57:58:60:61:63:65:66:68:70:72:73:75:77:79:81:84:86:88:90:93:95:97 12.7735
52:53:55:56:58:59:61:62:64:66:67:69:71:73:74:76:78:80:83:85:87:89:91:94:96:99:101 12.7453
53:54:56:57:59:60:62:63:65:67:69:70:72:74:76:78:80:82:84:86:89:91:93:96:98:101:103 12.2804
61:63:64:66:68:69:71:73:75:77:79:81:83:85:87:90:92:94:97:99:102:105:107:110:113:116:119 11.4067
64:66:67:69:71:73:75:77:79:81:83:85:87:89:92:94:97:99:102:104:107:110:113:116:119:122:125 9.5819
70:72:74:76:78:80:82:84:86:88:90:93:95:98:100:103:106:108:111:114:117:120:123:126:130:133:136 9.5653
71:73:75:77:79:81:83:85:87:89:92:94:97:99:102:104:107:110:113:116:119:122:125:128:131:135:138 8.8164
73:75:77:79:81:83:85:87:90:92:94:97:99:102:105:107:110:113:116:119:122:125:128:132:135:139:142 7.3684
92:94:97:99:102:105:107:110:113:116:119:122:125:128:132:135:139:142:146:150:154:158:162:166:170:175:179 7.2122
100:103:105:108:111:114:117:120:123:126:129:133:136:140:143:147:151:155:159:163:167:171:176:180:185:190:195 6.7288
101:104:106:109:112:115:118:121:124:127:131:134:137:141:145:148:152:156:160:164:169:173:178:182:187:192:197 6.2294
108:111:114:117:120:123:126:129:133:136:140:143:147:151:155:159:163:167:171:176:180:185:190:195:200:205:211 5.2393
110:113:116:119:122:125:128:132:135:139:142:146:150:154:158:162:166:170:175:179:184:189:193:199:204:209:214 5.0976
126:129:133:136:140:143:147:151:155:159:163:167:171:176:180:185:190:195:200:205:211:216:222:227:233:239:246 4.7344
127:130:134:137:141:144:148:152:156:160:164:168:173:177:182:187:192:196:202:207:212:218:223:229:235:241:248 4.7338

28 EDO

28 EDO NEJI Scale Greatest Error (¢)
35:36:37:38:39:40:41:42:43:44:45:46:47:48:49:51:52:53:55:56:57:59:60:62:63:65:67:68 17.4878
36:37:38:39:40:41:42:43:44:45:46:47:48:50:51:52:53:55:56:58:59:61:62:64:65:67:69:70 16.2407
37:38:39:40:41:42:43:44:45:46:47:49:50:51:52:54:55:56:58:59:61:62:64:65:67:69:70:72 14.8792
51:52:54:55:56:58:59:61:62:64:65:67:69:70:72:74:76:78:80:82:84:86:88:90:92:95:97:100 13.2403
52:53:55:56:57:59:60:62:63:65:67:68:70:72:74:75:77:79:81:83:85:87:90:92:94:97:99:101 12.4882
54:55:57:58:60:61:63:64:66:67:69:71:73:75:76:78:80:82:84:86:89:91:93:95:98:100:103:105 12.2723
55:56:58:59:61:62:64:65:67:69:70:72:74:76:78:80:82:84:86:88:90:92:95:97:100:102:105:107 11.6629
63:65:66:68:70:71:73:75:77:79:81:83:85:87:89:91:94:96:98:101:103:106:109:111:114:117:120:123 11.2483
64:66:67:69:71:72:74:76:78:80:82:84:86:88:91:93:95:97:100:102:105:108:110:113:116:119:122:125 10.4158
65:67:68:70:72:74:75:77:79:81:83:85:87:90:92:94:97:99:101:104:107:109:112:115:118:121:124:127 10.2169
67:69:70:72:74:76:78:80:82:84:86:88:90:92:95:97:100:102:105:107:110:113:116:118:121:124:128:131 9.8817
73:75:77:79:81:83:85:87:89:91:94:96:98:101:103:106:108:111:114:117:120:123:126:129:132:136:139:142 9.1457
74:76:78:80:82:84:86:88:90:92:95:97:100:102:105:107:110:113:116:118:121:124:128:131:134:137:141:144 8.7840
75:77:79:81:83:85:87:89:91:94:96:98:101:103:106:109:111:114:117:120:123:126:129:133:136:139:143:146 8.3592
76:78:80:82:84:86:88:90:93:95:97:100:102:105:107:110:113:116:119:122:125:128:131:134:138:141:145:148 7.7526
83:85:87:89:92:94:96:99:101:104:106:109:112:115:117:120:123:126:130:133:136:140:143:147:150:154:158:162 7.7386
86:88:90:93:95:97:100:102:105:107:110:113:116:119:122:125:128:131:134:138:141:145:148:152:156:160:164:168 7.4716
92:94:97:99:102:104:107:109:112:115:118:121:124:127:130:133:137:140:144:147:151:155:159:163:167:171:175:180 7.2075
93:95:98:100:103:105:108:111:113:116:119:122:125:128:132:135:138:142:145:149:153:156:160:164:168:173:177:181 6.3085
106:109:111:114:117:120:123:126:129:132:136:139:143:146:150:154:158:161:166:170:174:178:183:187:192:197:202:207 5.9459
113:116:119:122:125:128:131:134:138:141:145:148:152:156:160:164:168:172:176:181:185:190:195:200:205:210:215:220 4.9077

29 EDO

29 EDO NEJI Scale Greatest Error (¢)
36:37:38:39:40:41:42:43:44:45:46:47:48:49:50:52:53:54:55:57:58:59:61:62:64:65:67:69:70 18.5950
37:38:39:40:41:42:43:44:45:46:47:48:49:50:52:53:54:56:57:58:60:61:63:64:66:67:69:71:72 16.6476
38:39:40:41:42:43:44:45:46:47:48:49:51:52:53:54:56:57:58:60:61:63:64:66:67:69:71:72:74 15.0336
44:45:46:47:48:50:51:52:53:55:56:57:59:60:61:63:64:66:68:69:71:73:74:76:78:80:82:84:86 14.8802
46:47:48:49:51:52:53:54:56:57:58:60:61:63:64:66:67:69:71:72:74:76:78:80:82:84:86:88:90 14.7605
48:49:50:52:53:54:55:57:58:60:61:62:64:65:67:69:70:72:74:76:77:79:81:83:85:87:89:92:94 14.4347
49:50:51:53:54:55:57:58:59:61:62:64:65:67:68:70:72:74:75:77:79:81:83:85:87:89:91:93:96 13.5403
53:54:56:57:58:60:61:63:64:66:67:69:71:72:74:76:78:80:81:83:85:88:90:92:94:96:99:101:103 12.5627
54:55:57:58:59:61:62:64:65:67:69:70:72:74:75:77:79:81:83:85:87:89:91:94:96:98:101:103:105 12.2106
56:57:59:60:62:63:65:66:68:69:71:73:75:76:78:80:82:84:86:88:90:93:95:97:99:102:104:107:109 11.0104
66:68:69:71:73:74:76:78:80:82:84:86:88:90:92:94:97:99:101:104:106:109:112:114:117:120:123:126:129 10.3032
69:71:72:74:76:78:80:82:84:86:88:90:92:94:96:99:101:104:106:109:111:114:117:120:122:125:128:132:135 9.5171
76:78:80:82:84:86:88:90:92:94:97:99:101:104:106:109:111:114:117:120:123:126:129:132:135:138:141:145:148 8.5893
78:80:82:84:86:88:90:92:94:97:99:101:104:106:109:112:114:117:120:123:126:129:132:135:138:142:145:149:152 8.0105
79:81:83:85:87:89:91:93:96:98:100:103:105:108:110:113:116:119:121:124:127:131:134:137:140:144:147:151:154 7.2015
89:91:93:96:98:100:103:105:108:110:113:116:119:121:124:127:130:134:137:140:144:147:151:154:158:162:166:170:174 6.9370
97:99:102:104:107:109:112:115:117:120:123:126:129:132:136:139:142:146:149:153:156:160:164:168:172:176:181:185:189 6.4922
108:111:113:116:119:122:125:128:131:134:137:140:144:147:151:155:158:162:166:170:174:178:183:187:192:196:201:206:211 6.0547
109:112:114:117:120:123:126:129:132:135:138:142:145:149:152:156:160:164:168:172:176:180:184:189:193:198:203:208:213 5.6254
116:119:122:125:128:131:134:137:140:144:147:151:155:158:162:166:170:174:178:183:187:192:196:201:206:211:216:221:227 5.4721
117:120:123:126:129:132:135:138:142:145:149:152:156:160:163:167:172:176:180:184:189:193:198:203:208:213:218:223:228 5.2742
119:122:125:128:131:134:137:141:144:148:151:155:159:162:166:170:174:179:183:187:192:197:201:206:211:216:222:227:232 5.1489
126:129:132:135:139:142:145:149:153:156:160:164:168:172:176:180:185:189:194:198:203:208:213:218:224:229:235:240:246 5.1209

30 EDO

30 EDO NEJI Scale Greatest Error (¢)
38:39:40:41:42:43:44:45:46:47:48:49:50:51:53:54:55:56:58:59:60:62:63:65:66:68:69:71:73:74 15.9915
39:40:41:42:43:44:45:46:47:48:49:50:51:53:54:55:56:58:59:60:62:63:65:66:68:69:71:73:74:76 15.5723
40:41:42:43:44:45:46:47:48:49:50:52:53:54:55:57:58:59:61:62:63:65:66:68:70:71:73:75:76:78 14.2139
50:51:52:54:55:56:57:59:60:62:63:64:66:68:69:71:72:74:76:78:79:81:83:85:87:89:91:93:95:98 13.2376
55:56:58:59:60:62:63:65:66:68:69:71:73:74:76:78:80:81:83:85:87:89:91:94:96:98:100:103:105:107 11.9455
56:57:59:60:61:63:64:66:67:69:71:72:74:76:77:79:81:83:85:87:89:91:93:95:98:100:102:104:107:109 11.9411
58:59:61:62:64:65:67:68:70:71:73:75:77:78:80:82:84:86:88:90:92:94:96:99:101:103:106:108:111:113 10.5667
68:70:71:73:75:76:78:80:82:84:86:88:90:92:94:96:98:101:103:105:108:110:113:116:118:121:124:127:130:133 10.1842
69:71:72:74:76:77:79:81:83:85:87:89:91:93:95:98:100:102:105:107:110:112:115:117:120:123:126:129:132:135 10.0855
70:72:73:75:77:79:80:82:84:86:88:90:92:95:97:99:101:104:106:109:111:114:116:119:122:125:128:131:134:137 9.3973
72:74:75:77:79:81:83:85:87:89:91:93:95:97:99:102:104:107:109:112:114:117:120:122:125:128:131:134:137:141 9.3276
78:80:82:84:86:88:90:92:94:96:98:101:103:105:108:110:113:116:118:121:124:127:130:133:136:139:142:146:149:152 9.0350
79:81:83:85:87:89:91:93:95:97:100:102:104:107:109:112:114:117:120:123:125:128:131:134:138:141:144:147:151:154 8.0905
81:83:85:87:89:91:93:95:97:100:102:104:107:109:112:115:117:120:123:126:129:132:135:138:141:144:148:151:155:158 7.9246
82:84:86:88:90:92:94:96:99:101:103:106:108:111:113:116:119:121:124:127:130:133:136:140:143:146:150:153:157:160 7.1074
89:91:93:95:98:100:102:105:107:110:112:115:117:120:123:126:129:132:135:138:141:145:148:151:155:159:162:166:170:174 7.0534
92:94:96:99:101:103:106:108:111:113:116:119:121:124:127:130:133:136:139:143:146:149:153:157:160:164:168:172:176:180 6.9536
99:101:104:106:109:111:114:116:119:122:125:128:131:134:137:140:143:147:150:154:157:161:165:168:172:176:181:185:189:193 6.5932
100:102:105:107:110:112:115:118:120:123:126:129:132:135:138:141:145:148:152:155:159:162:166:170:174:178:182:187:191:195 6.5442
112:115:117:120:123:126:129:132:135:138:141:144:148:151:155:158:162:166:170:174:178:182:186:191:195:200:204:209:214:219 5.7622
113:116:118:121:124:127:130:133:136:139:142:146:149:153:156:160:164:167:171:175:179:184:188:192:197:201:206:211:216:221 5.3624
120:123:126:129:132:135:138:141:144:148:151:155:158:162:166:170:174:178:182:186:190:195:199:204:209:214:219:224:229:235 5.2040
121:124:127:130:133:136:139:142:146:149:152:156:160:163:167:171:175:179:183:188:192:197:201:206:211:216:221:226:231:236 5.1536
122:125:128:131:134:137:140:143:147:150:154:157:161:165:169:173:177:181:185:189:194:198:203:208:212:217:222:228:233:238 5.0392
123:126:129:132:135:138:141:145:148:151:155:159:162:166:170:174:178:182:186:191:195:200:204:209:214:219:224:230:235:240 4.9317

31 EDO

31 EDO NEJI Scale Greatest Error (¢)
39:40:41:42:43:44:45:46:47:48:49:50:51:52:53:55:56:57:58:60:61:62:64:65:67:68:70:71:73:75:76 15.4830
41:42:43:44:45:46:47:48:49:50:51:52:54:55:56:57:59:60:61:63:64:66:67:69:70:72:73:75:77:78:80 14.3412
49:50:51:52:54:55:56:57:59:60:61:63:64:66:67:69:70:72:73:75:77:78:80:82:84:86:88:90:92:94:96 13.3745
53:54:55:57:58:59:61:62:63:65:66:68:69:71:72:74:76:78:79:81:83:85:87:89:91:93:95:97:99:101:104 13.2922
56:57:59:60:61:63:64:65:67:68:70:72:73:75:77:78:80:82:84:86:88:90:92:94:96:98:100:102:105:107:110 12.9523
57:58:60:61:62:64:65:67:68:70:71:73:75:76:78:80:82:83:85:87:89:91:93:95:97:100:102:104:107:109:111 11.3813
60:61:63:64:66:67:69:70:72:73:75:77:78:80:82:84:86:88:90:92:94:96:98:100:103:105:107:110:112:115:117 10.3022
70:72:73:75:77:78:80:82:84:86:88:90:92:94:96:98:100:102:105:107:109:112:114:117:120:122:125:128:131:134:137 10.1655
71:73:74:76:78:79:81:83:85:87:89:91:93:95:97:99:102:104:106:109:111:114:116:119:121:124:127:130:133:136:139 9.3832
78:80:82:83:85:87:89:91:93:95:98:100:102:104:107:109:112:114:117:119:122:125:128:130:133:136:139:143:146:149:153 9.1604
81:83:85:87:89:91:93:95:97:99:101:104:106:108:111:113:116:118:121:124:127:130:132:135:139:142:145:148:151:155:158 8.2214
82:84:86:88:90:92:94:96:98:100:103:105:107:110:112:115:117:120:123:125:128:131:134:137:140:143:147:150:153:157:160 7.6415
85:87:89:91:93:95:97:99:102:104:106:109:111:114:116:119:122:124:127:130:133:136:139:142:145:149:152:155:159:163:166 7.0089
95:97:99:102:104:106:109:111:114:116:119:121:124:127:130:133:136:139:142:145:149:152:155:159:162:166:170:174:178:182:186 6.9973
96:98:100:103:105:107:110:112:115:117:120:123:126:128:131:134:137:140:144:147:150:154:157:161:164:168:172:176:180:184:188 6.7469
103:105:108:110:113:115:118:120:123:126:129:132:135:138:141:144:147:151:154:158:161:165:168:172:176:180:184:188:193:197:201 6.4997
104:106:109:111:114:116:119:122:124:127:130:133:136:139:142:145:149:152:156:159:163:166:170:174:178:182:186:190:195:199:203 5.7328
116:119:121:124:127:130:133:136:139:142:145:148:152:155:159:162:166:170:173:177:181:186:190:194:198:203:207:212:217:222:227 5.4944
117:120:122:125:128:131:134:137:140:143:146:150:153:156:160:164:167:171:175:179:183:187:191:196:200:205:209:214:219:224:229 5.1808
124:127:130:133:136:139:142:145:148:152:155:159:162:166:170:173:177:181:185:190:194:198:203:207:212:217:222:227:232:237:243 5.1743
126:129:132:135:138:141:144:147:151:154:158:161:165:169:172:176:180:184:188:193:197:202:206:211:215:220:225:230:236:241:246 5.0936

32 EDO

32 EDO NEJI Scale Greatest Error (¢)
40:41:42:43:44:45:46:47:48:49:50:51:52:53:54:55:57:58:59:60:62:63:64:66:67:69:70:72:73:75:77:78 16.9606
41:42:43:44:45:46:47:48:49:50:51:52:53:54:56:57:58:59:61:62:63:65:66:67:69:70:72:74:75:77:79:80 14.7635
43:44:45:46:47:48:49:50:51:52:53:55:56:57:58:60:61:62:64:65:66:68:69:71:72:74:76:77:79:81:82:84 14.2510
49:50:51:52:53:55:56:57:58:60:61:62:64:65:66:68:69:71:72:74:76:77:79:81:82:84:86:88:90:92:94:96 14.1473
51:52:53:54:56:57:58:59:61:62:63:65:66:68:69:71:72:74:75:77:79:80:82:84:86:88:90:92:94:96:98:100 13.5454
53:54:55:57:58:59:60:62:63:64:66:67:69:70:72:73:75:77:78:80:82:84:85:87:89:91:93:95:97:99:102:104 13.4635
55:56:57:59:60:61:63:64:65:67:68:70:71:73:74:76:78:79:81:83:85:87:89:91:92:95:97:99:101:103:105:108 13.1636
58:59:61:62:63:65:66:67:69:70:72:74:75:77:79:80:82:84:86:88:89:91:93:95:98:100:102:104:106:109:111:114 12.7702
59:60:62:63:64:66:67:69:70:72:73:75:77:78:80:82:83:85:87:89:91:93:95:97:99:101:104:106:108:111:113:115 10.9722
62:63:65:66:68:69:71:72:74:75:77:79:80:82:84:86:88:90:92:94:96:98:100:102:104:107:109:111:114:116:119:121 9.9198
73:75:76:78:80:81:83:85:87:89:91:93:95:97:99:101:103:105:108:110:113:115:118:120:123:125:128:131:134:137:140:143 9.2930
75:77:78:80:82:84:85:87:89:91:93:95:97:99:102:104:106:108:111:113:116:118:121:123:126:129:132:135:138:141:144:147 8.6985
84:86:88:90:92:94:96:98:100:102:104:107:109:111:114:116:119:121:124:127:130:132:135:138:141:144:148:151:154:157:161:164 7.4934
85:87:89:91:93:95:97:99:101:103:106:108:110:113:115:118:120:123:126:128:131:134:137:140:143:146:149:153:156:159:163:166 7.2354
88:90:92:94:96:98:100:102:105:107:109:112:114:117:119:122:124:127:130:133:136:139:142:145:148:151:155:158:161:165:169:172 6.9075
99:101:103:106:108:110:113:115:118:120:123:126:128:131:134:137:140:143:146:149:153:156:159:163:166:170:174:178:182:186:190:194 6.4273
104:106:109:111:113:116:118:121:124:126:129:132:135:138:141:144:147:150:154:157:160:164:167:171:175:179:183:187:191:195:199:204 6.3560
106:108:111:113:116:118:121:123:126:129:132:135:137:140:144:147:150:153:157:160:163:167:171:174:178:182:186:190:194:199:203:207 6.1742
108:110:113:115:118:120:123:126:128:131:134:137:140:143:146:149:153:156:159:163:167:170:174:178:182:186:190:194:198:202:207:211 5.8650
120:123:125:128:131:134:137:140:143:146:149:152:156:159:163:166:170:173:177:181:185:189:193:197:202:206:211:215:220:225:230:235 5.2487
121:124:126:129:132:135:138:141:144:147:150:154:157:160:164:167:171:175:179:183:187:191:195:199:203:208:213:217:222:227:232:237 5.0080

33 EDO

33 EDO NEJI Scale Greatest Error (¢)
42:43:44:45:46:47:48:49:50:51:52:53:54:55:56:58:59:60:61:63:64:65:67:68:70:71:73:74:76:77:79:81:82 13.3417
46:47:48:49:50:51:52:53:54:56:57:58:59:60:62:63:64:66:67:69:70:72:73:75:76:78:79:81:83:85:86:88:90 13.3184
55:56:57:59:60:61:62:64:65:66:68:69:71:72:74:75:77:79:80:82:84:85:87:89:91:93:95:97:99:101:103:105:108 12.4491
60:61:63:64:65:67:68:70:71:72:74:76:77:79:81:82:84:86:88:89:91:93:95:97:99:101:104:106:108:110:113:115:118 12.3255
61:62:64:65:66:68:69:71:72:74:75:77:78:80:82:84:85:87:89:91:93:95:97:99:101:103:105:108:110:112:115:117:119 10.7658
64:65:67:68:70:71:73:74:76:77:79:81:82:84:86:88:90:91:93:95:97:99:102:104:106:108:110:113:115:118:120:123:125 9.6851
75:77:78:80:82:83:85:87:89:91:93:94:96:99:101:103:105:107:109:112:114:117:119:122:124:127:129:132:135:138:141:144:147 9.1978
76:78:79:81:83:84:86:88:90:92:94:96:98:100:102:104:106:109:111:113:116:118:121:123:126:128:131:134:137:140:143:146:149 8.6060
87:89:91:93:95:97:99:101:103:105:107:110:112:114:117:119:122:124:127:130:132:135:138:141:144:147:150:153:157:160:163:167:170 6.8400
91:93:95:97:99:101:103:105:108:110:112:115:117:120:122:125:127:130:133:136:139:141:144:148:151:154:157:160:164:167:171:175:178 6.8044
94:96:98:100:102:104:107:109:111:114:116:118:121:124:126:129:132:134:137:140:143:146:149:152:156:159:162:166:169:173:177:180:184 6.8017
102:104:106:109:111:113:116:118:121:123:126:129:131:134:137:140:143:146:149:152:155:159:162:165:169:172:176:180:184:188:192:196:200 6.5623
107:109:112:114:116:119:121:124:127:129:132:135:138:141:144:147:150:153:156:159:163:166:170:173:177:181:185:189:193:197:201:205:210 6.3383
110:112:115:117:120:122:125:127:130:133:136:139:142:145:148:151:154:157:161:164:167:171:175:178:182:186:190:194:198:202:207:211:215 5.7555
111:113:116:118:121:123:126:129:131:134:137:140:143:146:149:152:155:159:162:165:169:173:176:180:184:188:192:196:200:204:208:213:217 5.6282
124:127:129:132:135:138:141:144:147:150:153:156:160:163:166:170:174:177:181:185:189:193:197:201:205:210:214:219:223:228:233:238:243 5.0224

34 EDO

34 EDO NEJI Scale Greatest Error (¢)
43:44:45:46:47:48:49:50:51:52:53:54:55:56:57:58:60:61:62:63:65:66:67:69:70:72:73:75:76:78:79:81:83:84 14.3694
44:45:46:47:48:49:50:51:52:53:54:55:56:57:59:60:61:62:64:65:66:68:69:70:72:73:75:76:78:79:81:83:84:86 13.7361
46:47:48:49:50:51:52:53:54:55:56:58:59:60:61:62:64:65:66:68:69:71:72:74:75:77:78:80:81:83:85:87:88:90 13.0676
54:55:56:57:59:60:61:62:64:65:66:68:69:70:72:73:75:76:78:80:81:83:85:86:88:90:92:94:96:98:100:102:104:106 12.2793
57:58:59:61:62:63:64:66:67:68:70:71:73:74:76:77:79:81:82:84:86:87:89:91:93:95:97:99:101:103:105:107:109:112 12.1597
58:59:60:62:63:64:66:67:68:70:71:73:74:76:77:79:80:82:84:85:87:89:91:93:95:97:99:101:103:105:107:109:111:114 11.9310
62:63:65:66:67:69:70:72:73:74:76:78:79:81:82:84:86:88:89:91:93:95:97:99:101:103:105:108:110:112:114:117:119:121 11.8156
63:64:66:67:68:70:71:73:74:76:77:79:80:82:84:86:87:89:91:93:95:97:99:101:103:105:107:109:111:114:116:119:121:123 9.9516
66:67:69:70:72:73:75:76:78:79:81:83:84:86:88:90:91:93:95:97:99:101:103:105:108:110:112:114:117:119:122:124:127:129 9.5448
77:79:80:82:84:85:87:89:91:93:94:96:98:100:102:105:107:109:111:113:116:118:121:123:126:128:131:134:136:139:142:145:148:151 9.4606
78:80:81:83:85:86:88:90:92:94:96:98:100:102:104:106:108:110:113:115:117:120:122:125:127:130:133:135:138:141:144:147:150:153 8.5369
80:82:83:85:87:89:90:92:94:96:98:100:102:104:106:109:111:113:115:118:120:123:125:128:130:133:136:139:142:144:147:151:154:157 8.0958
89:91:93:95:97:99:101:103:105:107:109:111:114:116:118:121:123:126:128:131:134:137:139:142:145:148:151:154:158:161:164:167:171:174 7.8772
90:92:94:96:98:100:102:104:106:108:110:113:115:117:120:122:125:127:130:133:135:138:141:144:147:150:153:156:159:163:166:169:173:176 6.2516
105:107:109:112:114:116:119:121:124:126:129:131:134:137:140:143:145:148:152:155:158:161:164:168:171:175:178:182:186:190:194:198:202:206 5.9096
113:115:118:120:123:125:128:130:133:136:139:141:144:147:150:153:157:160:163:166:170:173:177:181:184:188:192:196:200:204:208:213:217:221 5.6262
115:117:120:122:125:127:130:133:135:138:141:144:147:150:153:156:159:163:166:169:173:176:180:184:188:191:195:199:204:208:212:216:221:225 5.4445
128:131:133:136:139:142:145:148:151:154:157:160:163:167:170:174:177:181:185:189:192:196:200:205:209:213:217:222:227:231:236:241:246:251 5.0556
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