NEJI tables/Average error
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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 average errors. Average errors are the arithmetic mean of all the deviations between each EDO interval and it's closest NEJI interval measured in cents. 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.
See also NEJI tables/Greatest error for NEJIs with successively lower maximum errors.
1 EDO
| 1 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 1:2 | 0.0000 |
2 EDO
| 2 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 2:3:4 | 50.9775 |
| 5:7:10 | 8.7439 |
| 7:10:14 | 8.7439 |
| 12:17:24 | 1.5002 |
| 29:41:58 | 0.2574 |
| 41:58:82 | 0.2574 |
| 70:99:140 | 0.0442 |
3 EDO
| 3 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 3:4:5:6 | 60.8012 |
| 4:5:6:8 | 37.2438 |
| 5:6:8:10 | 32.6817 |
| 7:9:11:14 | 17.5307 |
| 12:15:19:24 | 6.0428 |
| 19:24:30:38 | 4.5621 |
| 27:34:43:54 | 2.1874 |
| 46:58:73:92 | 0.5959 |
| 104:131:165:208 | 0.4537 |
4 EDO
| 4 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 4:5:6:7:8 | 64.2737 |
| 5:6:7:8:10 | 29.8607 |
| 9:11:13:15:18 | 24.9167 |
| 10:12:14:17:20 | 12.9427 |
| 12:14:17:20:24 | 12.9427 |
| 15:18:21:25:30 | 12.1926 |
| 16:19:23:27:32 | 9.1566 |
| 21:25:30:35:42 | 8.7439 |
| 22:26:31:37:44 | 4.2747 |
| 31:37:44:52:62 | 4.2747 |
| 41:49:58:69:82 | 2.5678 |
| 53:63:75:89:106 | 1.1177 |
| 111:132:157:187:222 | 0.8116 |
| 116:138:164:195:232 | 0.4869 |
5 EDO
| 5 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 5:6:7:8:9:10 | 65.8872 |
| 6:7:8:9:10:12 | 27.7204 |
| 8:9:11:12:14:16 | 26.8558 |
| 12:14:16:18:21:24 | 14.3574 |
| 15:17:20:23:26:30 | 13.8210 |
| 19:22:25:29:33:38 | 6.9990 |
| 27:31:36:41:47:54 | 4.4860 |
| 35:40:46:53:61:70 | 3.8143 |
| 47:54:62:71:82:94 | 2.0391 |
| 66:76:87:100:115:132 | 1.5883 |
| 81:93:107:123:141:162 | 1.2651 |
| 101:116:133:153:176:202 | 1.2488 |
| 116:133:153:176:202:232 | 1.1935 |
| 128:147:169:194:223:256 | 0.5266 |
6 EDO
| 6 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 7:8:9:10:11:12:14 | 28.0208 |
| 8:9:10:11:13:14:16 | 22.9967 |
| 12:13:15:17:19:21:24 | 18.9550 |
| 14:16:18:20:22:25:28 | 17.5092 |
| 15:17:19:21:24:27:30 | 12.4502 |
| 17:19:21:24:27:30:34 | 10.3689 |
| 19:21:24:27:30:34:38 | 9.3688 |
| 24:27:30:34:38:43:48 | 5.7669 |
| 31:35:39:44:49:55:62 | 5.6212 |
| 34:38:43:48:54:61:68 | 4.9740 |
| 41:46:52:58:65:73:82 | 2.7103 |
| 58:65:73:82:92:103:116 | 2.0196 |
| 65:73:82:92:103:116:130 | 1.7298 |
| 73:82:92:103:116:130:146 | 1.4137 |
| 123:138:155:174:195:219:246 | 0.8548 |
7 EDO
| 7 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 8:9:10:11:12:13:14:16 | 29.3674 |
| 9:10:11:12:13:15:16:18 | 20.0801 |
| 14:15:17:19:21:23:25:28 | 16.6330 |
| 17:19:21:23:25:28:31:34 | 12.7728 |
| 19:21:23:26:28:31:34:38 | 12.5450 |
| 20:22:24:27:30:33:36:40 | 10.8483 |
| 23:25:28:31:34:38:42:46 | 9.5601 |
| 27:30:33:36:40:44:49:54 | 7.4196 |
| 31:34:38:42:46:51:56:62 | 6.3682 |
| 37:41:45:50:55:61:67:74 | 3.8349 |
| 55:61:67:74:82:90:100:110 | 3.7530 |
| 58:64:71:78:86:95:105:116 | 2.4813 |
| 64:71:78:86:95:105:116:128 | 2.0503 |
| 78:86:95:105:116:128:141:156 | 1.3686 |
8 EDO
| 8 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 9:10:11:12:13:14:15:17:18 | 30.7596 |
| 10:11:12:13:14:15:17:18:20 | 18.9297 |
| 16:17:19:21:23:25:27:29:32 | 18.1878 |
| 17:19:20:22:24:26:29:31:34 | 14.6008 |
| 19:21:23:25:27:29:32:35:38 | 14.4431 |
| 20:22:24:26:28:31:34:37:40 | 11.8426 |
| 22:24:26:29:31:34:37:40:44 | 8.0796 |
| 31:34:37:40:44:48:52:57:62 | 5.8865 |
| 37:40:44:48:52:57:62:68:74 | 4.7850 |
| 41:45:49:53:58:63:69:75:82 | 4.7246 |
| 44:48:52:57:62:68:74:81:88 | 3.7157 |
| 53:58:63:69:75:82:89:97:106 | 3.3044 |
| 68:74:81:88:96:105:114:125:136 | 3.0908 |
| 74:81:88:96:105:114:124:136:148 | 3.0824 |
| 78:85:93:101:110:120:131:143:156 | 2.5534 |
| 85:93:101:110:120:131:143:156:170 | 2.0908 |
| 101:110:120:131:143:156:170:185:202 | 1.5366 |
| 111:121:132:144:157:171:187:204:222 | 1.2510 |
9 EDO
| 9 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 10:11:12:13:14:15:16:17:19:20 | 32.4708 |
| 11:12:13:14:15:16:17:19:20:22 | 18.8724 |
| 12:13:14:15:16:18:19:21:22:24 | 16.3272 |
| 17:18:20:21:23:25:27:29:31:34 | 14.4969 |
| 19:21:22:24:26:28:30:33:35:38 | 12.4752 |
| 22:24:26:28:30:32:35:38:41:44 | 11.8576 |
| 24:26:28:30:33:35:38:41:44:48 | 8.7298 |
| 34:37:40:43:46:50:54:58:63:68 | 6.2293 |
| 36:39:42:45:49:53:57:62:67:72 | 4.8256 |
| 42:45:49:53:57:62:67:72:78:84 | 4.7576 |
| 47:51:55:59:64:69:75:81:87:94 | 4.6294 |
| 49:53:57:62:67:72:78:84:91:98 | 3.7282 |
| 53:57:62:67:72:78:84:91:98:106 | 3.4483 |
| 61:66:71:77:83:90:97:105:113:122 | 3.0625 |
| 66:71:77:83:90:97:105:113:122:132 | 2.5855 |
| 77:83:90:97:105:113:122:132:143:154 | 2.4226 |
| 89:96:104:112:121:131:141:153:165:178 | 2.3936 |
| 100:108:117:126:136:147:159:171:185:200 | 1.7413 |
| 119:129:139:150:162:175:189:204:220:238 | 1.6757 |
| 126:136:147:159:171:185:200:216:233:252 | 1.4583 |
10 EDO
| 10 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 11:12:13:14:15:16:17:18:19:21:22 | 34.2485 |
| 12:13:14:15:16:17:18:19:21:22:24 | 19.4753 |
| 13:14:15:16:17:18:20:21:23:24:26 | 15.0609 |
| 19:20:22:23:25:27:29:31:33:35:38 | 13.3681 |
| 22:24:25:27:29:31:33:36:38:41:44 | 10.9501 |
| 26:28:30:32:34:37:39:42:45:49:52 | 9.8175 |
| 27:29:31:33:36:38:41:44:47:50:54 | 6.5777 |
| 39:42:45:48:51:55:59:63:68:73:78 | 5.7828 |
| 43:46:49:53:57:61:65:70:75:80:86 | 4.8980 |
| 53:57:61:65:70:75:80:86:92:99:106 | 3.4851 |
| 66:71:76:81:87:93:100:107:115:123:132 | 3.1868 |
| 69:74:79:85:91:98:105:112:120:129:138 | 2.9618 |
| 81:87:93:100:107:115:123:132:141:151:162 | 2.8801 |
| 82:88:94:101:108:116:124:133:143:153:164 | 2.0045 |
| 112:120:129:138:148:158:170:182:195:209:224 | 1.6420 |
| 126:135:145:155:166:178:191:205:219:235:252 | 1.6369 |
| 128:137:147:158:169:181:194:208:223:239:256 | 1.1284 |
11 EDO
| 11 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 13:14:15:16:17:18:19:20:22:23:24:26 | 20.0656 |
| 14:15:16:17:18:19:20:22:23:25:26:28 | 14.6028 |
| 20:21:23:24:26:27:29:31:33:35:38:40 | 14.4577 |
| 21:22:24:25:27:29:31:33:35:37:39:42 | 13.8411 |
| 22:23:25:27:28:30:32:34:36:39:41:44 | 13.4913 |
| 24:26:27:29:31:33:35:37:40:42:45:48 | 9.0505 |
| 29:31:33:35:37:40:42:45:48:51:54:58 | 6.8416 |
| 35:37:40:42:45:48:51:54:58:62:66:70 | 6.6226 |
| 38:40:43:46:49:52:55:59:63:67:71:76 | 5.6201 |
| 43:46:49:52:55:59:63:67:71:76:81:86 | 4.9772 |
| 52:55:59:63:67:71:76:81:86:92:98:104 | 4.1875 |
| 59:63:67:71:76:81:86:92:98:104:111:118 | 3.2223 |
| 67:71:76:81:86:92:98:104:111:118:126:134 | 2.6895 |
| 76:81:86:92:98:104:111:118:126:134:143:152 | 2.2053 |
| 81:86:92:98:104:111:118:126:134:143:152:162 | 2.0948 |
| 105:112:119:127:135:144:153:163:174:185:197:210 | 1.6699 |
| 119:127:135:144:153:163:174:185:197:210:223:238 | 1.5691 |
12 EDO
| 12 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 14:15:16:17:18:19:20:21:22:24:25:26:28 | 21.0581 |
| 15:16:17:18:19:20:21:22:24:25:27:28:30 | 14.6720 |
| 16:17:18:19:20:21:23:24:25:27:29:30:32 | 13.2528 |
| 22:23:25:26:28:29:31:33:35:37:39:42:44 | 11.2313 |
| 24:25:27:29:30:32:34:36:38:40:43:45:48 | 10.2361 |
| 26:28:29:31:33:35:37:39:41:44:46:49:52 | 10.1058 |
| 27:29:30:32:34:36:38:40:43:45:48:51:54 | 8.6826 |
| 31:33:35:37:39:41:44:46:49:52:55:59:62 | 8.3043 |
| 32:34:36:38:40:43:45:48:51:54:57:60:64 | 6.1105 |
| 41:43:46:49:52:55:58:61:65:69:73:77:82 | 6.1024 |
| 42:44:47:50:53:56:59:63:67:71:75:79:84 | 6.0262 |
| 46:49:52:55:58:61:65:69:73:77:82:87:92 | 4.9775 |
| 48:51:54:57:60:64:68:72:76:81:86:91:96 | 4.9348 |
| 50:53:56:59:63:67:71:75:79:84:89:94:100 | 4.3960 |
| 51:54:57:61:64:68:72:76:81:86:91:96:102 | 4.3867 |
| 54:57:61:64:68:72:76:81:86:91:96:102:108 | 4.2125 |
| 63:67:71:75:79:84:89:94:100:106:112:119:126 | 3.3708 |
| 73:77:82:87:92:97:103:109:116:123:130:138:146 | 3.2834 |
| 80:85:90:95:101:107:113:120:127:135:143:151:160 | 2.8438 |
| 82:87:92:98:103:109:116:123:130:138:146:155:164 | 2.8140 |
| 84:89:94:100:106:112:119:126:133:141:150:159:168 | 2.7580 |
| 89:94:100:106:112:119:126:133:141:150:159:168:178 | 2.7414 |
| 90:95:101:107:113:120:127:135:143:151:160:170:180 | 2.6389 |
| 96:102:108:114:121:128:136:144:152:161:171:181:192 | 2.5760 |
| 99:105:111:118:125:132:140:148:157:166:176:187:198 | 2.4332 |
| 100:106:112:119:126:133:141:150:159:168:178:189:200 | 2.3200 |
| 101:107:113:120:127:135:143:151:160:170:180:191:202 | 2.2684 |
| 104:110:117:124:131:139:147:156:165:175:185:196:208 | 2.0353 |
| 116:123:130:138:146:155:164:174:184:195:207:219:232 | 1.3097 |
13 EDO
| 13 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 15:16:17:18:19:20:21:22:23:24:26:27:28:30 | 22.2654 |
| 16:17:18:19:20:21:22:23:25:26:27:29:30:32 | 14.9244 |
| 17:18:19:20:21:22:23:25:26:27:29:31:32:34 | 12.4068 |
| 24:25:27:28:30:31:33:35:37:39:41:43:46:48 | 11.1729 |
| 26:27:29:31:32:34:36:38:40:42:44:47:49:52 | 10.1765 |
| 29:31:32:34:36:38:40:42:44:47:49:52:55:58 | 7.6852 |
| 34:36:38:40:42:44:47:49:52:55:58:61:64:68 | 6.1702 |
| 45:47:50:53:56:59:62:65:69:73:77:81:85:90 | 5.9169 |
| 47:50:52:55:58:61:65:68:72:76:80:84:89:94 | 5.7472 |
| 51:54:57:60:63:67:70:74:78:82:87:92:97:102 | 4.9960 |
| 53:56:59:62:66:69:73:77:81:86:90:95:100:106 | 4.3933 |
| 55:58:61:65:68:72:76:80:84:89:94:99:104:110 | 4.0630 |
| 64:68:71:75:79:84:88:93:98:103:109:115:121:128 | 4.0073 |
| 68:72:76:80:84:89:94:99:104:110:116:122:129:136 | 3.7124 |
| 69:73:77:81:85:90:95:100:106:111:118:124:131:138 | 3.5463 |
| 71:75:79:83:88:93:98:103:109:115:121:128:135:142 | 3.1779 |
| 75:79:83:88:93:98:103:109:115:121:128:135:142:150 | 2.5771 |
| 88:93:98:103:109:115:121:128:135:142:150:158:167:176 | 2.0125 |
| 98:103:109:115:121:128:135:142:150:158:167:176:186:196 | 1.9637 |
| 109:115:121:128:135:142:150:158:167:176:186:196:207:218 | 1.6517 |
14 EDO
| 14 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 17:18:19:20:21:22:23:24:25:27:28:29:31:32:34 | 15.3296 |
| 18:19:20:21:22:23:24:25:27:28:30:31:33:34:36 | 12.1861 |
| 19:20:21:22:23:24:26:27:28:30:31:33:34:36:38 | 11.9171 |
| 25:26:28:29:30:32:34:35:37:39:41:43:45:48:50 | 10.4275 |
| 29:30:32:34:35:37:39:41:43:45:48:50:53:55:58 | 8.8449 |
| 31:33:34:36:38:40:42:44:46:48:51:53:56:59:62 | 8.3477 |
| 32:34:35:37:39:41:43:45:48:50:53:55:58:61:64 | 6.9550 |
| 37:39:41:43:45:47:50:52:55:58:61:64:67:70:74 | 5.9728 |
| 39:41:43:45:48:50:52:55:58:61:64:67:71:74:78 | 5.4835 |
| 41:43:45:48:50:53:55:58:61:64:67:71:74:78:82 | 5.4654 |
| 50:53:55:58:61:64:67:71:74:78:82:86:91:95:100 | 4.5387 |
| 58:61:64:67:71:74:78:82:86:91:95:100:105:110:116 | 3.4619 |
| 64:67:71:74:78:82:86:91:95:100:105:110:116:122:128 | 3.2447 |
| 75:79:83:87:91:96:101:106:111:117:123:129:136:143:150 | 2.7031 |
| 87:91:96:101:106:111:117:123:129:136:143:150:158:166:174 | 2.6755 |
| 95:100:105:110:116:122:128:134:141:148:156:164:172:181:190 | 2.4654 |
| 96:101:106:111:117:123:129:136:143:150:158:165:174:183:192 | 2.4559 |
| 101:106:112:117:123:129:136:143:150:158:166:174:183:192:202 | 2.3349 |
| 105:110:116:122:128:134:141:148:156:164:172:181:190:200:210 | 2.2688 |
| 113:119:125:131:138:145:152:160:168:176:185:195:205:215:226 | 2.2578 |
| 114:120:126:132:139:146:153:161:169:178:187:197:207:217:228 | 2.0746 |
| 123:129:136:143:150:158:166:174:183:192:202:212:223:234:246 | 1.9563 |
15 EDO
| 15 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 18:19:20:21:22:23:24:25:26:27:29:30:31:33:34:36 | 16.0038 |
| 19:20:21:22:23:24:25:26:27:29:30:32:33:35:36:38 | 12.2574 |
| 20:21:22:23:24:25:26:28:29:30:32:33:35:36:38:40 | 11.0561 |
| 27:28:30:31:32:34:36:37:39:41:43:45:47:49:52:54 | 9.2959 |
| 29:30:32:33:35:37:38:40:42:44:46:48:50:53:55:58 | 9.0256 |
| 31:32:34:36:37:39:41:43:45:47:49:52:54:57:59:62 | 8.0270 |
| 34:36:37:39:41:43:45:47:49:52:54:57:59:62:65:68 | 6.5050 |
| 39:41:43:45:47:49:51:54:56:59:62:65:68:71:74:78 | 6.0295 |
| 41:43:45:47:49:52:54:57:59:62:65:68:71:75:78:82 | 5.6908 |
| 47:49:52:54:57:59:62:65:68:71:75:78:82:86:90:94 | 5.2054 |
| 50:52:55:57:60:63:66:69:72:76:79:83:87:91:95:100 | 5.0145 |
| 54:57:59:62:65:68:71:75:78:82:86:90:94:98:103:108 | 4.3416 |
| 60:63:66:69:72:76:79:83:87:91:95:100:104:109:115:120 | 4.2802 |
| 62:65:68:71:75:78:82:86:90:94:98:103:108:113:118:124 | 3.4417 |
| 74:77:81:85:89:93:98:102:107:112:117:123:129:135:141:148 | 3.2359 |
| 80:84:88:92:96:101:106:111:116:121:127:133:139:146:153:160 | 3.2129 |
| 81:85:89:93:97:102:107:112:117:123:129:135:141:148:155:162 | 2.8748 |
| 85:89:93:98:102:107:112:117:123:129:135:141:148:155:162:170 | 2.4646 |
| 89:93:98:102:107:112:117:123:129:135:141:148:155:162:170:178 | 2.4051 |
| 103:108:113:118:124:130:136:142:149:156:164:171:179:188:197:206 | 2.2658 |
| 107:112:117:123:129:135:141:148:155:162:170:178:186:195:204:214 | 2.0179 |
| 123:129:135:141:148:155:162:170:178:186:195:204:214:224:235:246 | 1.7349 |
| 128:134:140:147:154:161:169:177:185:194:203:213:223:233:244:256 | 1.6026 |
16 EDO
| 16 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 19:20:21:22:23:24:25:26:27:28:29:31:32:33:35:36:38 | 16.8538 |
| 20:21:22:23:24:25:26:27:28:30:31:32:34:35:37:38:40 | 12.2609 |
| 21:22:23:24:25:26:27:28:30:31:32:34:35:37:39:40:42 | 10.5461 |
| 25:26:27:28:30:31:32:34:35:37:39:40:42:44:46:48:50 | 10.5461 |
| 28:29:31:32:33:35:36:38:40:41:43:45:47:49:51:54:56 | 10.5445 |
| 29:30:32:33:34:36:38:39:41:43:45:47:49:51:53:56:58 | 9.5697 |
| 31:32:34:35:37:38:40:42:44:46:48:50:52:54:57:59:62 | 8.8223 |
| 33:34:36:38:39:41:43:45:47:49:51:53:55:58:61:63:66 | 8.8177 |
| 34:36:37:39:40:42:44:46:48:50:52:55:57:60:62:65:68 | 8.2809 |
| 36:38:39:41:43:45:47:49:51:53:56:58:61:63:66:69:72 | 7.1586 |
| 37:39:40:42:44:46:48:50:52:55:57:60:62:65:68:71:74 | 5.7932 |
| 44:46:48:50:52:55:57:60:62:65:68:71:74:77:81:84:88 | 4.6406 |
| 57:60:62:65:68:71:74:77:81:84:88:92:96:100:105:109:114 | 4.3637 |
| 65:68:71:74:77:81:84:88:92:96:100:105:109:114:119:124:130 | 3.3750 |
| 70:73:76:80:83:87:91:95:99:103:108:113:118:123:128:134:140 | 3.2904 |
| 79:82:86:90:94:98:102:107:112:117:122:127:133:139:145:151:158 | 3.0836 |
| 85:89:93:97:101:106:110:115:120:126:131:137:143:149:156:163:170 | 2.9492 |
| 87:91:95:99:103:108:113:118:123:128:134:140:146:153:160:167:174 | 2.8485 |
| 90:94:98:102:107:112:117:122:127:133:139:145:151:158:165:172:180 | 2.3979 |
| 107:112:117:122:127:133:139:145:151:158:165:172:180:188:196:205:214 | 1.9458 |
| 111:116:121:126:132:138:144:150:157:164:171:179:187:195:204:213:222 | 1.8368 |
17 EDO
| 17 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 20:21:22:23:24:25:26:27:28:29:30:31:33:34:35:37:38:40 | 17.8151 |
| 21:22:23:24:25:26:27:28:29:30:32:33:34:36:37:39:40:42 | 12.5486 |
| 22:23:24:25:26:27:28:29:30:32:33:34:36:37:39:41:42:44 | 10.5043 |
| 23:24:25:26:27:28:29:31:32:33:35:36:38:39:41:42:44:46 | 9.9276 |
| 30:31:33:34:35:37:38:40:42:43:45:47:49:51:53:55:58:60 | 8.7424 |
| 34:35:37:38:40:42:43:45:47:49:51:53:55:58:60:63:65:68 | 8.5813 |
| 36:37:39:41:42:44:46:48:50:52:54:56:59:61:64:66:69:72 | 7.0014 |
| 39:41:42:44:46:48:50:52:54:56:59:61:64:66:69:72:75:78 | 5.7975 |
| 46:48:50:52:54:56:59:61:64:66:69:72:75:78:81:85:88:92 | 4.8400 |
| 57:59:62:64:67:70:73:76:79:82:86:89:93:97:101:105:109:114 | 4.2006 |
| 62:65:67:70:73:76:79:82:86:89:93:97:101:105:110:114:119:124 | 4.0457 |
| 69:72:75:78:81:85:88:92:96:100:104:108:113:117:122:127:132:138 | 3.9003 |
| 70:73:76:79:82:86:89:93:97:101:105:110:114:119:124:129:134:140 | 2.8969 |
| 83:86:90:94:98:102:106:110:115:120:125:130:135:141:147:153:159:166 | 2.7358 |
| 90:94:98:102:106:110:115:120:125:130:135:141:147:153:159:166:173:180 | 2.7270 |
| 97:101:105:110:114:119:124:129:134:140:146:152:158:165:172:179:186:194 | 2.1755 |
| 106:110:115:120:125:130:135:141:147:153:159:166:173:180:188:195:204:212 | 2.1601 |
| 115:120:125:130:135:141:147:153:159:166:173:180:188:195:204:212:221:230 | 1.8892 |
18 EDO
| 18 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 22:23:24:25:26:27:28:29:30:31:32:34:35:36:38:39:41:42:44 | 13.0272 |
| 23:24:25:26:27:28:29:30:31:33:34:35:37:38:39:41:43:44:46 | 10.3822 |
| 24:25:26:27:28:29:30:31:33:34:35:37:38:40:41:43:44:46:48 | 9.3948 |
| 28:29:30:31:33:34:35:37:38:40:41:43:44:46:48:50:52:54:56 | 9.3948 |
| 32:33:35:36:37:39:40:42:44:45:47:49:51:53:55:57:59:62:64 | 8.4665 |
| 34:35:37:38:40:41:43:45:46:48:50:52:54:56:58:61:63:65:68 | 7.7349 |
| 36:37:39:40:42:44:45:47:49:51:53:55:57:59:62:64:67:69:72 | 6.9512 |
| 41:43:44:46:48:50:52:54:56:58:60:63:65:68:70:73:76:79:82 | 6.3533 |
| 42:44:45:47:49:51:53:55:57:59:62:64:67:69:72:75:78:81:84 | 5.2996 |
| 49:51:53:55:57:59:62:64:67:69:72:75:78:81:84:87:91:94:98 | 4.3565 |
| 55:57:59:62:64:67:69:72:75:78:81:84:87:91:94:98:102:106:110 | 4.3565 |
| 65:68:70:73:76:79:82:85:88:92:96:99:103:107:111:116:120:125:130 | 4.2674 |
| 66:69:71:74:77:80:83:86:90:93:97:101:105:109:113:118:122:127:132 | 3.4276 |
| 74:77:80:83:86:90:93:97:101:105:109:113:117:122:127:132:137:142:148 | 3.0890 |
| 77:80:83:86:90:93:97:101:105:109:113:118:122:127:132:137:143:148:154 | 2.9364 |
| 80:83:86:90:93:97:101:105:109:113:118:122:127:132:137:143:148:154:160 | 2.8981 |
| 97:101:105:109:113:118:122:127:132:137:143:148:154:160:166:173:180:187:194 | 2.3354 |
| 100:104:108:112:117:121:126:131:136:141:147:153:159:165:171:178:185:192:200 | 2.1645 |
| 119:124:129:134:139:144:150:156:162:168:175:182:189:196:204:212:220:229:238 | 2.1565 |
| 123:128:133:138:143:149:155:161:167:174:181:188:195:203:211:219:228:237:246 | 1.6671 |
19 EDO
| 19 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 23:24:25:26:27:28:29:30:31:32:33:34:36:37:38:40:41:43:44:46 | 13.6443 |
| 24:25:26:27:28:29:30:31:32:33:35:36:37:39:40:41:43:45:46:48 | 10.3278 |
| 25:26:27:28:29:30:31:32:33:35:36:37:39:40:42:43:45:46:48:50 | 9.1328 |
| 26:27:28:29:30:31:32:34:35:36:37:39:40:42:43:45:47:48:50:52 | 9.1175 |
| 29:30:31:32:34:35:36:37:39:40:42:43:45:47:48:50:52:54:56:58 | 9.0952 |
| 33:34:35:37:38:40:41:43:44:46:48:49:51:53:55:57:59:61:64:66 | 8.5109 |
| 36:37:39:40:42:43:45:46:48:50:52:54:56:58:60:62:65:67:69:72 | 7.6325 |
| 38:39:41:42:44:46:47:49:51:53:55:57:59:61:63:66:68:71:73:76 | 7.2173 |
| 41:43:44:46:47:49:51:53:55:57:59:61:64:66:68:71:73:76:79:82 | 6.3041 |
| 44:46:47:49:51:53:55:57:59:61:63:66:68:71:73:76:79:82:85:88 | 5.5272 |
| 51:53:55:57:59:61:63:66:68:71:73:76:79:82:85:88:91:95:98:102 | 4.3579 |
| 59:61:63:66:68:71:73:76:79:82:85:88:91:95:98:102:106:110:114:118 | 4.3492 |
| 66:68:71:74:76:79:82:85:88:92:95:99:102:106:110:114:118:123:127:132 | 4.2730 |
| 69:72:74:77:80:83:86:89:92:96:99:103:107:111:115:119:124:128:133:138 | 3.2765 |
| 77:80:83:86:89:92:96:99:103:107:111:115:119:124:128:133:138:143:148:154 | 2.8578 |
| 95:99:102:106:110:114:118:123:127:132:137:142:147:153:158:164:170:177:183:190 | 2.5795 |
| 102:106:110:114:118:122:127:132:137:142:147:152:158:164:170:176:183:190:197:204 | 2.5703 |
| 106:110:114:118:123:127:132:137:142:147:153:158:164:170:177:183:190:197:204:212 | 2.2054 |
| 114:118:123:127:132:137:142:147:153:158:164:170:177:183:190:197:204:212:220:228 | 2.1653 |
| 120:124:129:134:139:144:149:155:161:167:173:179:186:193:200:207:215:223:231:240 | 2.0313 |
20 EDO
| 20 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 24:25:26:27:28:29:30:31:32:33:34:35:36:38:39:40:42:43:45:46:48 | 14.3603 |
| 25:26:27:28:29:30:31:32:33:34:35:37:38:39:41:42:44:45:47:48:50 | 10.6094 |
| 26:27:28:29:30:31:32:33:34:36:37:38:39:41:42:44:45:47:49:50:52 | 9.1463 |
| 27:28:29:30:31:32:33:34:36:37:38:40:41:42:44:45:47:49:50:52:54 | 8.5847 |
| 35:36:38:39:40:42:43:45:46:48:49:51:53:55:57:59:61:63:65:68:70 | 7.9134 |
| 37:38:40:41:43:44:46:47:49:51:52:54:56:58:60:62:64:67:69:71:74 | 7.8979 |
| 39:40:42:43:45:46:48:50:51:53:55:57:59:61:63:66:68:70:73:75:78 | 7.6469 |
| 41:42:44:45:47:49:50:52:54:56:58:60:62:64:67:69:71:74:77:79:82 | 6.6494 |
| 43:45:46:48:49:51:53:55:57:59:61:63:65:67:70:72:75:78:80:83:86 | 6.4985 |
| 44:46:47:49:51:52:54:56:58:60:62:64:67:69:71:74:77:79:82:85:88 | 6.2228 |
| 46:48:49:51:53:55:57:59:61:63:65:67:70:72:75:77:80:83:86:89:92 | 6.0534 |
| 47:49:50:52:54:56:58:60:62:64:66:69:71:74:76:79:82:85:88:91:94 | 5.1518 |
| 53:55:57:59:61:63:65:68:70:72:75:78:80:83:86:89:92:96:99:102:106 | 4.8282 |
| 54:56:58:60:62:64:66:69:71:74:76:79:82:85:88:91:94:97:101:104:108 | 4.3626 |
| 56:58:60:62:64:67:69:71:74:76:79:82:85:88:91:94:98:101:104:108:112 | 4.1595 |
| 58:60:62:64:67:69:71:74:77:79:82:85:88:91:94:98:101:105:108:112:116 | 4.0819 |
| 69:71:74:77:79:82:85:88:91:94:98:101:105:108:112:116:120:124:129:133:138 | 3.5760 |
| 74:77:79:82:85:88:91:94:98:101:105:108:112:116:120:124:129:133:138:143:148 | 3.3632 |
| 81:84:87:90:93:96:100:103:107:111:115:119:123:127:132:136:141:146:151:156:162 | 3.2560 |
| 82:85:88:91:94:98:101:105:108:112:116:120:124:129:133:138:143:148:153:158:164 | 2.6290 |
| 91:94:98:101:105:108:112:116:120:124:129:133:138:143:148:153:158:164:170:176:182 | 2.5999 |
| 101:105:108:112:116:120:124:129:133:138:143:148:153:158:164:170:176:182:188:195:202 | 2.2905 |
| 112:116:120:124:129:133:138:143:148:153:158:164:170:176:182:188:195:202:209:216:224 | 1.8272 |
| 128:133:137:142:147:152:158:163:169:175:181:187:194:201:208:215:223:231:239:247:256 | 1.7304 |
21 EDO
| 21 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 26:27:28:29:30:31:32:33:34:35:36:37:39:40:41:43:44:46:47:49:50:52 | 10.9819 |
| 27:28:29:30:31:32:33:34:35:36:38:39:40:41:43:44:46:47:49:51:52:54 | 9.1426 |
| 28:29:30:31:32:33:34:35:36:38:39:40:42:43:44:46:47:49:51:52:54:56 | 8.2559 |
| 36:37:38:40:41:42:44:45:47:48:50:52:53:55:57:59:61:63:65:67:70:72 | 8.2448 |
| 37:38:40:41:42:44:45:47:48:50:51:53:55:57:59:61:63:65:67:69:72:74 | 7.8891 |
| 39:40:42:43:45:46:48:49:51:52:54:56:58:60:62:64:66:68:71:73:75:78 | 6.8431 |
| 41:42:44:45:47:48:50:52:53:55:57:59:61:63:65:67:70:72:74:77:79:82 | 6.3715 |
| 43:44:46:47:49:51:52:54:56:58:60:62:64:66:68:71:73:75:78:81:83:86 | 6.2954 |
| 46:48:49:51:52:54:56:58:60:62:64:66:68:71:73:75:78:81:83:86:89:92 | 5.3588 |
| 50:52:53:55:57:59:61:63:65:67:70:72:74:77:79:82:85:88:91:94:97:100 | 5.2759 |
| 56:58:60:62:64:66:68:71:73:75:78:81:83:86:89:92:95:98:101:105:108:112 | 4.1080 |
| 64:66:68:71:73:75:78:81:83:86:89:92:95:98:102:105:109:112:116:120:124:128 | 3.9149 |
| 69:71:74:76:79:81:84:87:90:93:96:99:103:106:110:113:117:121:125:129:134:138 | 3.5256 |
| 73:75:78:81:83:86:89:92:95:98:102:105:108:112:116:120:124:128:132:137:141:146 | 3.3841 |
| 78:81:83:86:89:92:95:98:102:105:109:112:116:120:124:128:132:137:141:146:151:156 | 2.8980 |
| 89:92:95:98:102:105:108:112:116:120:124:128:132:137:141:146:151:156:161:167:172:178 | 2.4979 |
| 92:95:98:102:105:109:112:116:120:124:128:132:137:141:146:151:156:161:167:172:178:184 | 2.4794 |
| 105:109:112:116:120:124:128:132:137:141:146:151:156:161:167:172:178:184:190:197:203:210 | 2.1620 |
| 119:123:127:131:136:140:145:150:155:160:166:171:177:183:189:195:202:209:216:223:230:238 | 2.0342 |
| 123:127:131:136:140:145:150:155:160:166:171:177:183:189:195:202:209:216:223:230:238:246 | 2.0209 |
| 128:132:137:141:146:151:156:161:167:172:178:184:190:197:203:210:217:224:232:240:248:256 | 1.8303 |
22 EDO
| 22 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 27:28:29:30:31:32:33:34:35:36:37:38:39:41:42:43:45:46:48:49:51:52:54 | 11.4612 |
| 28:29:30:31:32:33:34:35:36:37:38:40:41:42:44:45:46:48:49:51:53:54:56 | 9.1842 |
| 29:30:31:32:33:34:35:36:37:39:40:41:42:44:45:47:48:50:51:53:54:56:58 | 8.1265 |
| 30:31:32:33:34:35:36:37:39:40:41:42:44:45:47:48:50:51:53:55:56:58:60 | 8.0002 |
| 38:39:40:42:43:44:46:47:49:50:52:54:55:57:59:61:63:65:67:69:71:74:76 | 7.2876 |
| 41:42:44:45:47:48:50:51:53:54:56:58:60:62:64:66:68:70:72:75:77:79:82 | 6.8664 |
| 43:44:46:47:49:50:52:54:55:57:59:61:63:65:67:69:71:73:76:78:81:83:86 | 6.4410 |
| 46:47:49:51:52:54:56:57:59:61:63:65:67:69:72:74:76:79:81:84:86:89:92 | 6.2014 |
| 48:50:51:53:54:56:58:60:62:64:66:68:70:72:75:77:79:82:85:87:90:93:96 | 5.5006 |
| 52:54:55:57:59:61:63:65:67:69:71:74:76:78:81:83:86:89:92:95:98:101:104 | 5.0629 |
| 58:60:62:64:66:68:70:72:75:77:79:82:85:87:90:93:96:99:102:106:109:112:116 | 4.2844 |
| 61:63:65:67:69:71:74:76:78:81:84:86:89:92:95:98:101:104:108:111:115:118:122 | 3.6773 |
| 73:75:78:80:83:85:88:91:94:97:100:103:107:110:113:117:121:125:129:133:137:141:146 | 3.5799 |
| 76:78:81:84:86:89:92:95:98:101:104:107:111:114:118:122:126:130:134:138:143:147:152 | 3.4170 |
| 81:84:86:89:92:95:98:101:104:108:111:115:118:122:126:130:134:138:143:147:152:157:162 | 2.7277 |
| 89:92:95:98:101:104:108:111:115:118:122:126:130:134:138:143:147:152:157:162:167:172:178 | 2.5349 |
| 101:104:108:111:115:118:122:126:130:134:138:143:147:152:157:162:167:173:178:184:190:196:202 | 2.3961 |
| 111:115:118:122:126:130:134:138:143:147:152:157:162:167:173:178:184:190:196:202:208:215:222 | 2.1148 |
| 119:123:127:131:135:139:144:148:153:158:163:168:174:179:185:191:197:203:210:217:223:231:238 | 2.1048 |
| 122:126:130:134:138:143:147:152:157:162:167:173:178:184:190:196:202:208:215:222:229:236:244 | 1.8424 |
23 EDO
| 23 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 28:29:30:31:32:33:34:35:36:37:38:39:40:41:43:44:45:47:48:50:51:53:54:56 | 12.0548 |
| 29:30:31:32:33:34:35:36:37:38:39:40:42:43:44:46:47:48:50:51:53:55:56:58 | 9.2744 |
| 30:31:32:33:34:35:36:37:38:39:41:42:43:44:46:47:49:50:52:53:55:56:58:60 | 8.1403 |
| 31:32:33:34:35:36:37:38:39:41:42:43:45:46:47:49:50:52:53:55:57:58:60:62 | 7.7038 |
| 35:36:37:38:39:41:42:43:45:46:47:49:50:52:53:55:57:58:60:62:64:66:68:70 | 7.6527 |
| 39:40:41:43:44:45:47:48:50:51:53:54:56:58:59:61:63:65:67:69:71:73:76:78 | 7.5291 |
| 40:41:42:44:45:47:48:49:51:52:54:56:57:59:61:63:65:67:69:71:73:75:78:80 | 7.1903 |
| 42:43:45:46:47:49:50:52:53:55:57:59:60:62:64:66:68:70:72:74:77:79:82:84 | 6.7014 |
| 46:47:49:50:52:53:55:57:59:60:62:64:66:68:70:72:75:77:79:82:84:87:89:92 | 6.3930 |
| 48:49:51:53:54:56:58:59:61:63:65:67:69:71:73:75:78:80:83:85:88:90:93:96 | 5.5819 |
| 51:53:54:56:58:59:61:63:65:67:69:71:73:75:78:80:83:85:88:90:93:96:99:102 | 4.8869 |
| 61:63:65:67:69:71:73:75:78:80:82:85:88:90:93:96:99:102:105:108:111:115:118:122 | 3.9373 |
| 63:65:67:69:71:73:75:78:80:83:85:88:90:93:96:99:102:105:108:112:115:119:122:126 | 3.7594 |
| 71:73:75:78:80:83:85:88:90:93:96:99:102:105:108:112:115:119:122:126:130:134:138:142 | 3.6755 |
| 80:82:85:88:90:93:96:99:102:105:108:111:115:118:122:126:130:134:138:142:146:151:155:160 | 3.5836 |
| 84:87:89:92:95:98:101:104:107:110:114:117:121:124:128:132:136:140:145:149:153:158:163:168 | 3.2542 |
| 85:88:90:93:96:99:102:105:108:111:115:118:122:126:130:134:138:142:146:151:155:160:165:170 | 3.0777 |
| 86:89:91:94:97:100:103:106:109:113:116:120:123:127:131:135:139:144:148:152:157:162:167:172 | 3.0205 |
| 92:95:98:101:104:107:110:114:117:121:124:128:132:136:140:145:149:154:158:163:168:173:179:184 | 2.9783 |
| 93:96:99:102:105:108:111:115:118:122:126:130:134:138:142:146:151:155:160:165:170:175:180:186 | 2.9716 |
| 94:97:100:103:106:109:113:116:120:123:127:131:135:139:143:148:152:157:162:167:172:177:182:188 | 2.4317 |
| 110:113:117:120:124:128:132:136:140:144:149:153:158:163:168:173:178:184:189:195:201:207:213:220 | 2.2200 |
| 127:131:135:139:143:148:152:157:162:167:172:177:182:188:194:200:206:212:218:225:232:239:246:254 | 2.1642 |
| 128:132:136:140:144:149:153:158:163:168:173:178:184:189:195:201:207:214:220:227:234:241:248:256 | 1.7615 |
24 EDO
| 24 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 30:31:32:33:34:35:36:37:38:39:40:41:42:44:45:46:48:49:50:52:53:55:57:58:60 | 9.5991 |
| 31:32:33:34:35:36:37:38:39:40:41:43:44:45:46:48:49:51:52:54:55:57:59:60:62 | 8.1969 |
| 32:33:34:35:36:37:38:39:40:41:43:44:45:47:48:49:51:52:54:55:57:59:60:62:64 | 7.3620 |
| 37:38:39:40:42:43:44:45:47:48:49:51:52:54:55:57:59:60:62:64:66:68:70:72:74 | 7.2456 |
| 41:42:43:45:46:47:49:50:52:53:55:56:58:60:61:63:65:67:69:71:73:75:77:80:82 | 6.5250 |
| 44:45:47:48:49:51:52:54:55:57:59:60:62:64:66:68:70:72:74:76:78:81:83:85:88 | 6.1271 |
| 46:47:49:50:52:53:55:56:58:60:61:63:65:67:69:71:73:75:77:80:82:84:87:89:92 | 5.7071 |
| 48:49:51:52:54:55:57:59:60:62:64:66:68:70:72:74:76:78:81:83:86:88:91:93:96 | 5.6459 |
| 53:55:56:58:59:61:63:65:67:69:71:73:75:77:79:82:84:87:89:92:94:97:100:103:106 | 5.1179 |
| 54:56:57:59:61:62:64:66:68:70:72:74:76:79:81:83:86:88:91:93:96:99:102:105:108 | 4.8026 |
| 63:65:67:69:71:73:75:77:79:82:84:87:89:92:94:97:100:103:106:109:112:116:119:122:126 | 4.0778 |
| 66:68:70:72:74:76:78:81:83:86:88:91:93:96:99:102:105:108:111:114:118:121:125:128:132 | 3.5680 |
| 68:70:72:74:76:79:81:83:86:88:91:93:96:99:102:105:108:111:114:118:121:125:128:132:136 | 3.5325 |
| 72:74:76:79:81:83:86:88:91:93:96:99:102:105:108:111:114:118:121:125:128:132:136:140:144 | 3.5325 |
| 84:86:89:92:94:97:100:103:106:109:112:115:119:122:126:130:133:137:141:145:150:154:159:163:168 | 3.4135 |
| 85:87:90:93:95:98:101:104:107:110:113:117:120:124:127:131:135:139:143:147:151:156:160:165:170 | 3.1462 |
| 89:92:94:97:100:103:106:109:112:115:119:122:126:130:133:137:141:145:150:154:159:163:168:173:178 | 3.0597 |
| 90:93:95:98:101:104:107:110:113:117:120:124:127:131:135:139:143:147:151:156:160:165:170:175:180 | 2.5121 |
| 101:104:107:110:113:117:120:124:127:131:135:139:143:147:151:156:160:165:170:175:180:185:191:196:202 | 2.1730 |
| 116:119:123:126:130:134:138:142:146:150:155:159:164:169:174:179:184:190:195:201:207:213:219:225:232 | 2.1410 |
| 123:127:130:134:138:142:146:151:155:160:164:169:174:179:184:190:195:201:207:213:219:226:232:239:246 | 1.9176 |
25 EDO
| 25 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 31:32:33:34:35:36:37:38:39:40:41:42:43:44:46:47:48:50:51:52:54:55:57:59:60:62 | 10.1139 |
| 32:33:34:35:36:37:38:39:40:41:42:43:45:46:47:49:50:51:53:54:56:57:59:61:62:64 | 8.3180 |
| 33:34:35:36:37:38:39:40:41:42:44:45:46:47:49:50:51:53:54:56:57:59:61:62:64:66 | 7.2295 |
| 34:35:36:37:38:39:40:41:42:44:45:46:47:49:50:52:53:54:56:58:59:61:63:64:66:68 | 7.1259 |
| 43:44:45:47:48:49:51:52:54:55:57:58:60:62:63:65:67:69:71:73:75:77:79:81:84:86 | 6.3260 |
| 46:47:49:50:51:53:54:56:57:59:61:62:64:66:68:70:72:74:76:78:80:82:85:87:89:92 | 6.2835 |
| 48:49:51:52:54:55:57:58:60:62:63:65:67:69:71:73:75:77:79:81:84:86:88:91:93:96 | 5.8199 |
| 50:51:53:54:56:57:59:61:62:64:66:68:70:72:74:76:78:80:82:85:87:90:92:95:97:100 | 5.7748 |
| 53:54:56:58:59:61:63:64:66:68:70:72:74:76:78:80:83:85:87:90:92:95:98:100:103:106 | 4.9201 |
| 56:58:59:61:63:64:66:68:70:72:74:76:78:80:83:85:87:90:92:95:98:100:103:106:109:112 | 4.3989 |
| 66:68:70:72:74:76:78:80:82:85:87:90:92:95:97:100:103:106:109:112:115:118:121:125:128:132 | 4.0398 |
| 68:70:72:74:76:78:80:83:85:87:90:92:95:98:100:103:106:109:112:115:118:122:125:129:132:136 | 3.3947 |
| 76:78:80:83:85:87:90:92:95:98:100:103:106:109:112:115:118:122:125:129:132:136:140:144:148:152 | 3.3731 |
| 81:83:86:88:91:93:96:98:101:104:107:110:113:116:119:123:126:130:133:137:141:145:149:153:158:162 | 3.1050 |
| 88:90:93:96:98:101:104:107:110:113:116:119:123:126:130:133:137:141:145:149:153:158:162:167:171:176 | 2.8008 |
| 93:96:98:101:104:107:110:113:116:119:123:126:130:133:137:141:145:149:153:157:162:166:171:176:181:186 | 2.4727 |
| 101:104:107:110:113:116:119:123:126:130:133:137:141:145:149:153:157:162:166:171:176:181:186:191:196:202 | 2.3226 |
| 113:116:119:123:126:130:133:137:141:145:149:153:158:162:167:171:176:181:186:191:197:202:208:214:220:226 | 2.3006 |
| 120:123:127:130:134:138:142:146:150:154:158:163:167:172:177:182:187:192:198:203:209:215:221:227:233:240 | 2.0693 |
| 127:131:134:138:142:146:150:154:159:163:168:172:177:182:187:192:198:203:209:215:221:227:234:240:247:254 | 2.0185 |
26 EDO
| 26 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 32:33:34:35:36:37:38:39:40:41:42:43:44:45:46:48:49:50:52:53:55:56:58:59:61:62:64 | 10.5949 |
| 33:34:35:36:37:38:39:40:41:42:43:44:45:47:48:49:51:52:53:55:56:58:59:61:63:64:66 | 8.4032 |
| 34:35:36:37:38:39:40:41:42:43:44:46:47:48:49:51:52:53:55:56:58:60:61:63:64:66:68 | 7.3856 |
| 35:36:37:38:39:40:41:42:43:44:46:47:48:49:51:52:54:55:57:58:60:61:63:65:66:68:70 | 6.9736 |
| 36:37:38:39:40:41:42:43:45:46:47:48:50:51:52:54:55:57:58:60:61:63:65:66:68:70:72 | 6.7913 |
| 44:45:46:48:49:50:52:53:54:56:57:59:61:62:64:66:67:69:71:73:75:77:79:81:83:86:88 | 6.2229 |
| 47:48:50:51:52:54:55:57:58:60:61:63:65:66:68:70:72:74:76:78:80:82:84:87:89:92:94 | 5.8055 |
| 53:54:56:57:59:61:62:64:66:67:69:71:73:75:77:79:81:83:86:88:90:93:95:98:100:103:106 | 5.0864 |
| 58:60:61:63:65:66:68:70:72:74:76:78:80:82:84:87:89:91:94:96:99:102:104:107:110:113:116 | 4.6958 |
| 59:61:62:64:66:67:69:71:73:75:77:79:81:83:86:88:90:93:95:98:101:103:106:109:112:115:118 | 4.2039 |
| 68:70:72:74:76:78:80:82:84:86:89:91:94:96:99:101:104:107:110:113:116:119:122:126:129:132:136 | 4.0475 |
| 70:72:74:76:78:80:82:84:87:89:91:94:96:99:102:104:107:110:113:116:119:123:126:129:133:136:140 | 3.6672 |
| 71:73:75:77:79:81:83:86:88:90:93:95:98:100:103:106:109:112:115:118:121:124:128:131:135:138:142 | 3.4236 |
| 73:75:77:79:81:83:86:88:90:93:95:98:101:103:106:109:112:115:118:121:124:128:131:135:138:142:146 | 3.2605 |
| 85:87:90:92:95:97:100:102:105:108:111:114:117:120:123:127:130:134:137:141:145:149:153:157:161:166:170 | 3.0501 |
| 88:90:93:95:98:101:103:106:109:112:115:118:121:124:128:131:135:138:142:146:150:154:158:162:167:171:176 | 2.9017 |
| 92:94:97:100:102:105:108:111:114:117:120:123:127:130:134:137:141:145:149:153:157:161:165:170:174:179:184 | 2.8574 |
| 96:99:101:104:107:110:113:116:119:122:125:129:132:136:139:143:147:151:155:159:164:168:173:177:182:187:192 | 2.7785 |
| 97:100:102:105:108:111:114:117:120:123:127:130:134:137:141:145:149:153:157:161:165:170:174:179:184:189:194 | 2.6516 |
| 98:101:103:106:109:112:115:118:121:125:128:131:135:139:142:146:150:154:158:163:167:172:176:181:186:191:196 | 2.5859 |
| 104:107:110:113:116:119:122:125:129:132:136:139:143:147:151:155:159:164:168:173:177:182:187:192:197:203:208 | 2.5663 |
| 106:109:112:115:118:121:124:128:131:135:138:142:146:150:154:158:162:167:171:176:181:186:191:196:201:206:212 | 2.4138 |
| 108:111:114:117:120:123:127:130:134:137:141:145:149:153:157:161:165:170:175:179:184:189:194:199:205:210:216 | 2.2395 |
| 122:125:129:132:136:139:143:147:151:155:159:164:168:173:177:182:187:192:197:202:208:214:219:225:231:238:244 | 2.1930 |
| 126:129:133:136:140:144:148:152:156:160:164:169:174:178:183:188:193:198:204:209:215:221:227:233:239:245:252 | 2.1651 |
27 EDO
| 27 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 34:35:36:37:38:39:40:41:42:43:44:45:46:47:49:50:51:53:54:55:57:58:60:61:63:65:66:68 | 8.5868 |
| 35:36:37:38:39:40:41:42:43:44:45:46:48:49:50:51:53:54:56:57:58:60:62:63:65:66:68:70 | 7.3937 |
| 36:37:38:39:40:41:42:43:44:45:47:48:49:50:52:53:54:56:57:59:60:62:63:65:67:68:70:72 | 6.5934 |
| 37:38:39:40:41:42:43:44:45:47:48:49:50:52:53:54:56:57:59:60:62:63:65:67:69:70:72:74 | 6.5842 |
| 41:42:43:44:45:47:48:49:50:52:53:54:56:57:59:60:62:63:65:67:69:70:72:74:76:78:80:82 | 6.5776 |
| 42:43:44:45:47:48:49:50:52:53:54:56:57:59:60:62:63:65:67:68:70:72:74:76:78:80:82:84 | 6.5556 |
| 46:47:48:50:51:52:54:55:56:58:59:61:63:64:66:68:69:71:73:75:77:79:81:83:85:87:90:92 | 5.8790 |
| 49:50:52:53:54:56:57:59:60:62:63:65:67:68:70:72:74:76:78:80:82:84:86:88:91:93:96:98 | 5.6429 |
| 51:52:54:55:57:58:59:61:63:64:66:68:69:71:73:75:77:79:81:83:85:87:90:92:94:97:99:102 | 5.3003 |
| 53:54:56:57:59:60:62:63:65:67:69:70:72:74:76:78:80:82:84:86:89:91:93:96:98:101:103:106 | 5.1117 |
| 58:60:61:63:64:66:68:69:71:73:75:77:79:81:83:85:87:90:92:94:97:99:102:105:107:110:113:116 | 4.4929 |
| 61:63:64:66:68:69:71:73:75:77:79:81:83:85:87:90:92:94:97:99:102:105:107:110:113:116:119:122 | 3.9346 |
| 73:75:77:79:81:83:85:87:90:92:94:97:99:102:105:107:110:113:116:119:122:125:128:132:135:139:142:146 | 3.1423 |
| 83:85:87:90:92:94:97:99:102:105:107:110:113:116:119:122:125:128:132:135:139:142:146:150:154:158:162:166 | 3.1357 |
| 88:90:93:95:98:100:103:105:108:111:114:117:120:123:126:129:133:136:140:143:147:151:155:159:163:167:172:176 | 3.0533 |
| 92:94:97:99:102:105:107:110:113:116:119:122:125:128:132:135:139:142:146:150:154:158:162:166:170:175:179:184 | 2.7757 |
| 100:103:105:108:111:114:117:120:123:126:129:133:136:140:143:147:151:155:159:163:167:171:176:180:185:190:195:200 | 2.6699 |
| 102:105:107:110:113:116:119:122:125:129:132:135:139:142:146:150:154:158:162:166:170:175:179:184:189:194:199:204 | 2.3589 |
| 113:116:119:122:125:128:132:135:139:142:146:150:154:158:162:166:170:175:179:184:189:194:199:204:209:215:220:226 | 2.1218 |
| 116:119:122:125:129:132:135:139:142:146:150:154:158:162:166:170:175:179:184:189:194:199:204:209:215:220:226:232 | 2.0927 |
| 119:122:125:129:132:135:139:142:146:150:154:158:162:166:170:175:179:184:189:194:199:204:209:215:220:226:232:238 | 2.0838 |
28 EDO
| 28 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 35:36:37:38:39:40:41:42:43:44:45:46:47:48:49:51:52:53:55:56:57:59:60:62:63:65:67:68:70 | 8.9175 |
| 36:37:38:39:40:41:42:43:44:45:46:47:48:50:51:52:53:55:56:58:59:61:62:64:65:67:69:70:72 | 7.5561 |
| 37:38:39:40:41:42:43:44:45:46:47:49:50:51:52:54:55:56:58:59:61:62:64:65:67:69:70:72:74 | 6.4827 |
| 47:48:49:51:52:53:55:56:57:59:60:62:63:65:66:68:70:72:73:75:77:79:81:83:85:87:89:92:94 | 6.2388 |
| 48:49:50:52:53:54:56:57:59:60:61:63:65:66:68:70:71:73:75:77:79:81:83:85:87:89:91:94:96 | 5.9526 |
| 50:51:53:54:55:57:58:59:61:62:64:66:67:69:71:72:74:76:78:80:82:84:86:88:91:93:95:98:100 | 5.7615 |
| 53:54:56:57:59:60:61:63:65:66:68:70:71:73:75:77:79:81:83:85:87:89:91:94:96:98:101:103:106 | 5.3591 |
| 55:56:58:59:61:62:64:65:67:69:70:72:74:76:78:80:82:84:86:88:90:92:95:97:100:102:105:107:110 | 5.2403 |
| 58:59:61:62:64:66:67:69:71:72:74:76:78:80:82:84:86:88:91:93:95:98:100:102:105:108:110:113:116 | 4.8435 |
| 60:62:63:65:66:68:70:71:73:75:77:79:81:83:85:87:89:91:94:96:98:101:103:106:109:111:114:117:120 | 4.5449 |
| 63:65:66:68:70:71:73:75:77:79:81:83:85:87:89:91:94:96:98:101:103:106:109:111:114:117:120:123:126 | 4.2540 |
| 64:66:67:69:71:72:74:76:78:80:82:84:86:88:91:93:95:97:100:102:105:108:110:113:116:119:122:125:128 | 3.8977 |
| 69:71:73:74:76:78:80:82:84:86:88:91:93:95:98:100:103:105:108:110:113:116:119:122:125:128:131:135:138 | 3.8300 |
| 75:77:79:81:83:85:87:89:91:94:96:98:101:103:106:109:111:114:117:120:123:126:129:133:136:139:143:146:150 | 3.4494 |
| 76:78:80:82:84:86:88:90:93:95:97:100:102:105:107:110:113:116:119:122:125:128:131:134:138:141:145:148:152 | 3.3653 |
| 78:80:82:84:86:88:90:93:95:97:100:102:105:108:110:113:116:119:122:125:128:131:134:138:141:145:148:152:156 | 3.1419 |
| 80:82:84:86:88:91:93:95:98:100:102:105:108:110:113:116:119:122:125:128:131:135:138:141:145:149:152:156:160 | 3.1406 |
| 82:84:86:88:91:93:95:98:100:102:105:108:110:113:116:119:122:125:128:131:135:138:141:145:149:152:156:160:164 | 3.1406 |
| 92:94:97:99:102:104:107:109:112:115:118:121:124:127:130:133:137:140:144:147:151:155:159:163:167:171:175:180:184 | 3.1200 |
| 95:97:100:102:105:108:110:113:116:119:122:125:128:131:134:138:141:145:148:152:156:160:164:168:172:176:181:185:190 | 2.9405 |
| 100:103:105:108:110:113:116:119:122:125:128:131:135:138:141:145:149:152:156:160:164:168:172:177:181:186:190:195:200 | 2.5481 |
| 105:108:110:113:116:119:122:125:128:131:134:138:141:145:148:152:156:160:164:168:172:177:181:186:190:195:200:205:210 | 2.2410 |
| 116:119:122:125:128:131:135:138:141:145:149:152:156:160:164:168:172:177:181:186:190:195:200:205:210:215:221:226:232 | 1.9948 |
29 EDO
| 29 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 36:37:38:39:40:41:42:43:44:45:46:47:48:49:50:52:53:54:55:57:58:59:61:62:64:65:67:69:70:72 | 9.3895 |
| 37:38:39:40:41:42:43:44:45:46:47:48:49:50:52:53:54:56:57:58:60:61:63:64:66:67:69:71:72:74 | 7.6466 |
| 38:39:40:41:42:43:44:45:46:47:48:49:51:52:53:54:56:57:58:60:61:63:64:66:67:69:71:72:74:76 | 6.6413 |
| 39:40:41:42:43:44:45:46:47:48:50:51:52:53:54:56:57:59:60:61:63:64:66:68:69:71:73:74:76:78 | 6.3011 |
| 40:41:42:43:44:45:46:47:48:50:51:52:53:55:56:57:59:60:62:63:65:66:68:69:71:73:74:76:78:80 | 6.1726 |
| 44:45:46:47:48:50:51:52:53:55:56:57:59:60:61:63:64:66:68:69:71:73:74:76:78:80:82:84:86:88 | 6.1650 |
| 49:50:51:53:54:55:57:58:59:61:62:64:65:67:68:70:72:74:75:77:79:81:83:85:87:89:91:93:96:98 | 5.6871 |
| 52:53:55:56:57:59:60:61:63:64:66:68:69:71:73:74:76:78:80:82:84:86:88:90:92:95:97:99:102:104 | 5.3244 |
| 54:55:57:58:59:61:62:64:65:67:69:70:72:74:75:77:79:81:83:85:87:89:91:94:96:98:101:103:105:108 | 5.2855 |
| 58:59:61:62:64:65:67:69:70:72:74:75:77:79:81:83:85:87:89:91:94:96:98:101:103:105:108:111:113:116 | 4.8675 |
| 60:61:63:64:66:68:69:71:73:74:76:78:80:82:84:86:88:90:92:94:97:99:102:104:106:109:112:114:117:120 | 4.5465 |
| 63:65:66:68:69:71:73:74:76:78:80:82:84:86:88:90:92:95:97:99:102:104:107:109:112:115:117:120:123:126 | 4.1164 |
| 66:68:69:71:73:74:76:78:80:82:84:86:88:90:92:94:97:99:101:104:106:109:112:114:117:120:123:126:129:132 | 3.7962 |
| 71:73:74:76:78:80:82:84:86:88:90:92:95:97:99:102:104:107:109:112:115:117:120:123:126:129:132:135:139:142 | 3.4716 |
| 78:80:82:84:86:88:90:92:94:97:99:101:104:106:109:112:114:117:120:123:126:129:132:135:138:142:145:149:152:156 | 3.1265 |
| 80:82:84:86:88:90:92:95:97:99:102:104:107:109:112:114:117:120:123:126:129:132:135:139:142:145:149:153:156:160 | 2.9944 |
| 93:95:98:100:102:105:107:110:113:115:118:121:124:127:130:133:136:140:143:146:150:154:157:161:165:169:173:177:182:186 | 2.7627 |
| 104:107:109:112:114:117:120:123:126:129:132:135:139:142:145:149:152:156:160:164:168:172:176:180:185:189:194:198:203:208 | 2.4646 |
| 109:112:114:117:120:123:126:129:132:135:138:142:145:149:152:156:160:164:168:172:176:180:184:189:193:198:203:208:213:218 | 2.4090 |
| 110:113:115:118:121:124:127:130:133:136:140:143:147:150:154:157:161:165:169:173:177:182:186:191:195:200:205:210:215:220 | 2.3919 |
| 116:119:122:125:128:131:134:137:140:144:147:151:155:158:162:166:170:174:178:183:187:192:196:201:206:211:216:221:227:232 | 2.3800 |
| 118:121:124:127:130:133:136:139:143:146:150:153:157:161:165:169:173:177:181:186:190:195:200:204:209:214:220:225:230:236 | 2.3407 |
| 120:123:126:129:132:135:139:142:145:149:152:156:160:164:168:172:176:180:185:189:194:198:203:208:213:218:223:229:234:240 | 2.0430 |
| 123:126:129:132:135:139:142:145:149:153:156:160:164:168:172:176:180:185:189:194:198:203:208:213:218:224:229:235:240:246 | 2.0036 |
30 EDO
| 30 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 38:39:40:41:42:43:44:45:46:47:48:49:50:51:53:54:55:56:58:59:60:62:63:65:66:68:69:71:73:74:76 | 7.7757 |
| 39:40:41:42:43:44:45:46:47:48:49:50:51:53:54:55:56:58:59:60:62:63:65:66:68:69:71:73:74:76:78 | 6.8750 |
| 40:41:42:43:44:45:46:47:48:49:50:52:53:54:55:57:58:59:61:62:63:65:66:68:70:71:73:75:76:78:80 | 6.1026 |
| 41:42:43:44:45:46:47:48:49:50:52:53:54:55:57:58:59:61:62:64:65:67:68:70:71:73:75:77:78:80:82 | 6.0080 |
| 46:47:48:49:50:52:53:54:55:57:58:59:61:62:64:65:67:68:70:71:73:75:76:78:80:82:84:86:88:90:92 | 5.9710 |
| 50:51:52:54:55:56:57:59:60:62:63:64:66:68:69:71:72:74:76:78:79:81:83:85:87:89:91:93:95:98:100 | 5.9555 |
| 51:52:53:55:56:57:59:60:61:63:64:66:67:69:70:72:74:76:77:79:81:83:85:87:89:91:93:95:97:100:102 | 5.5939 |
| 54:55:57:58:59:61:62:63:65:66:68:70:71:73:75:76:78:80:82:84:86:88:90:92:94:96:98:101:103:106:108 | 5.4043 |
| 56:57:59:60:61:63:64:66:67:69:71:72:74:76:77:79:81:83:85:87:89:91:93:95:98:100:102:104:107:109:112 | 4.9281 |
| 58:59:61:62:64:65:67:68:70:71:73:75:77:78:80:82:84:86:88:90:92:94:96:99:101:103:106:108:111:113:116 | 4.6798 |
| 60:61:63:64:66:67:69:71:72:74:76:77:79:81:83:85:87:89:91:93:95:97:100:102:104:107:109:112:115:117:120 | 4.6132 |
| 65:67:68:70:71:73:75:76:78:80:82:84:86:88:90:92:94:96:99:101:103:106:108:111:113:116:119:121:124:127:130 | 4.2106 |
| 68:70:71:73:75:76:78:80:82:84:86:88:90:92:94:96:98:101:103:105:108:110:113:116:118:121:124:127:130:133:136 | 4.0635 |
| 69:71:72:74:76:77:79:81:83:85:87:89:91:93:95:98:100:102:105:107:110:112:115:117:120:123:126:129:132:135:138 | 3.6329 |
| 73:75:76:78:80:82:84:86:88:90:92:94:96:99:101:103:106:108:111:113:116:119:121:124:127:130:133:136:139:143:146 | 3.6010 |
| 74:76:77:79:81:83:85:87:89:91:93:95:98:100:102:105:107:110:112:115:117:120:123:126:129:132:135:138:141:145:148 | 3.3710 |
| 80:82:84:86:88:90:92:94:96:98:101:103:106:108:111:113:116:118:121:124:127:130:133:136:139:143:146:149:153:156:160 | 3.2522 |
| 83:85:87:89:91:93:95:98:100:102:105:107:110:112:115:117:120:123:126:129:132:135:138:141:145:148:151:155:159:162:166 | 3.0051 |
| 85:87:89:91:93:95:98:100:102:105:107:110:112:115:117:120:123:126:129:132:135:138:141:145:148:151:155:159:162:166:170 | 2.8728 |
| 97:99:102:104:106:109:111:114:117:119:122:125:128:131:134:137:140:144:147:150:154:158:161:165:169:173:177:181:185:190:194 | 2.6034 |
| 104:106:109:111:114:117:119:122:125:128:131:134:137:140:144:147:151:154:158:161:165:169:173:177:181:185:190:194:199:203:208 | 2.5591 |
| 107:110:112:115:117:120:123:126:129:132:135:138:141:144:148:151:155:158:162:166:170:174:178:182:186:191:195:200:204:209:214 | 2.5194 |
| 112:115:117:120:123:126:129:132:135:138:141:144:148:151:155:158:162:166:170:174:178:182:186:191:195:200:204:209:214:219:224 | 2.4166 |
| 114:117:119:122:125:128:131:134:137:140:144:147:150:154:158:161:165:169:173:177:181:185:190:194:198:203:208:213:218:223:228 | 2.1248 |
| 123:126:129:132:135:138:141:145:148:151:155:159:162:166:170:174:178:182:186:191:195:200:204:209:214:219:224:230:235:240:246 | 2.0489 |
| 125:128:131:134:137:140:144:147:150:154:157:161:165:169:173:177:181:185:189:194:198:203:208:213:218:223:228:233:239:244:250 | 2.0405 |
| 128:131:134:137:140:144:147:150:154:158:161:165:169:173:177:181:185:190:194:199:203:208:213:218:223:228:233:239:244:250:256 | 1.8427 |
31 EDO
| 31 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 39:40:41:42:43:44:45:46:47:48:49:50:51:52:53:55:56:57:58:60:61:62:64:65:67:68:70:71:73:75:76:78 | 8.0218 |
| 40:41:42:43:44:45:46:47:48:49:50:51:52:53:55:56:57:58:60:61:63:64:65:67:68:70:72:73:75:77:78:80 | 6.9693 |
| 41:42:43:44:45:46:47:48:49:50:51:52:54:55:56:57:59:60:61:63:64:66:67:69:70:72:73:75:77:78:80:82 | 6.0057 |
| 42:43:44:45:46:47:48:49:50:51:53:54:55:56:57:59:60:61:63:64:66:67:69:70:72:73:75:77:79:80:82:84 | 5.9466 |
| 52:53:54:56:57:58:59:61:62:64:65:66:68:70:71:73:74:76:78:80:81:83:85:87:89:91:93:95:97:99:102:104 | 5.3947 |
| 55:56:58:59:60:62:63:64:66:67:69:70:72:74:75:77:79:80:82:84:86:88:90:92:94:96:98:101:103:105:108:110 | 5.1600 |
| 58:59:61:62:63:65:66:68:69:71:73:74:76:78:79:81:83:85:87:89:91:93:95:97:99:101:104:106:108:111:113:116 | 5.0602 |
| 60:61:63:64:66:67:69:70:72:73:75:77:78:80:82:84:86:88:90:92:94:96:98:100:103:105:107:110:112:115:117:120 | 4.7648 |
| 65:66:68:70:71:73:74:76:78:79:81:83:85:87:89:91:93:95:97:99:102:104:106:109:111:114:116:119:122:124:127:130 | 4.1179 |
| 68:70:71:73:74:76:78:80:81:83:85:87:89:91:93:95:97:99:102:104:106:109:111:114:116:119:122:124:127:130:133:136 | 3.7375 |
| 71:73:74:76:78:79:81:83:85:87:89:91:93:95:97:99:102:104:106:109:111:114:116:119:121:124:127:130:133:136:139:142 | 3.6514 |
| 76:78:79:81:83:85:87:89:91:93:95:97:99:102:104:106:109:111:114:116:119:122:124:127:130:133:136:139:142:145:149:152 | 3.1520 |
| 85:87:89:91:93:95:97:99:102:104:106:109:111:114:116:119:122:124:127:130:133:136:139:142:145:149:152:155:159:163:166:170 | 2.7333 |
| 100:102:105:107:109:112:114:117:120:122:125:128:131:134:137:140:143:146:150:153:156:160:164:167:171:175:179:183:187:191:196:200 | 2.6575 |
| 104:106:109:111:114:116:119:122:124:127:130:133:136:139:142:145:149:152:156:159:163:166:170:174:178:182:186:190:195:199:203:208 | 2.4876 |
| 107:109:112:114:117:120:122:125:128:131:134:137:140:143:146:150:153:156:160:164:167:171:175:179:183:187:191:196:200:205:209:214 | 2.3357 |
| 117:120:122:125:128:131:134:137:140:143:146:150:153:156:160:164:167:171:175:179:183:187:191:196:200:205:209:214:219:224:229:234 | 2.0081 |
| 128:131:134:137:140:143:146:150:153:157:160:164:167:171:175:179:183:187:191:196:200:205:209:214:219:224:229:234:239:245:250:256 | 1.8293 |
32 EDO
| 32 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 40:41:42:43:44:45:46:47:48:49:50:51:52:53:54:55:57:58:59:60:62:63:64:66:67:69:70:72:73:75:77:78:80 | 8.4017 |
| 41:42:43:44:45:46:47:48:49:50:51:52:53:54:56:57:58:59:61:62:63:65:66:67:69:70:72:74:75:77:79:80:82 | 6.9925 |
| 42:43:44:45:46:47:48:49:50:51:52:53:54:56:57:58:59:61:62:63:65:66:68:69:71:72:74:75:77:79:80:82:84 | 6.0939 |
| 43:44:45:46:47:48:49:50:51:52:53:55:56:57:58:60:61:62:64:65:66:68:69:71:72:74:76:77:79:81:82:84:86 | 5.8597 |
| 44:45:46:47:48:49:50:51:52:53:55:56:57:58:60:61:62:64:65:66:68:69:71:72:74:76:77:79:81:82:84:86:88 | 5.6169 |
| 54:55:56:58:59:60:61:63:64:66:67:69:70:72:73:75:76:78:80:81:83:85:87:89:91:93:95:97:99:101:103:106:108 | 5.3056 |
| 57:58:60:61:62:64:65:66:68:69:71:72:74:76:77:79:81:82:84:86:88:90:92:94:96:98:100:102:105:107:109:112:114 | 5.0721 |
| 59:60:62:63:64:66:67:69:70:72:73:75:77:78:80:82:83:85:87:89:91:93:95:97:99:101:104:106:108:111:113:115:118 | 4.7305 |
| 63:64:66:67:69:70:72:73:75:77:78:80:82:83:85:87:89:91:93:95:97:99:101:104:106:108:111:113:116:118:121:123:126 | 4.6046 |
| 65:66:68:69:71:72:74:76:77:79:81:82:84:86:88:90:92:94:96:98:100:102:105:107:109:112:114:117:119:122:124:127:130 | 4.1473 |
| 70:72:73:75:76:78:80:81:83:85:87:89:91:93:95:97:99:101:103:106:108:110:113:115:118:120:123:126:128:131:134:137:140 | 3.7739 |
| 74:76:77:79:81:82:84:86:88:90:92:94:96:98:100:102:105:107:109:112:114:117:119:122:124:127:130:133:136:139:142:145:148 | 3.4695 |
| 78:80:81:83:85:87:89:91:93:95:97:99:101:103:106:108:110:113:115:118:120:123:126:128:131:134:137:140:143:146:149:153:156 | 3.2623 |
| 79:81:82:84:86:88:90:92:94:96:98:100:102:105:107:109:112:114:117:119:122:125:127:130:133:136:139:142:145:148:151:155:158 | 3.1752 |
| 85:87:89:91:93:95:97:99:101:103:106:108:110:113:115:118:120:123:126:128:131:134:137:140:143:146:149:153:156:159:163:166:170 | 3.1562 |
| 87:89:91:93:95:97:99:101:103:106:108:110:113:115:118:120:123:126:128:131:134:137:140:143:146:150:153:156:160:163:167:170:174 | 3.0667 |
| 88:90:92:94:96:98:100:102:105:107:109:112:114:117:119:122:124:127:130:133:136:139:142:145:148:151:155:158:161:165:169:172:176 | 2.8752 |
| 90:92:94:96:98:100:102:105:107:109:112:114:117:119:122:125:127:130:133:136:139:142:145:148:151:155:158:162:165:169:172:176:180 | 2.7624 |
| 96:98:100:102:105:107:109:112:114:117:119:122:124:127:130:133:136:139:142:145:148:151:155:158:161:165:169:172:176:180:184:188:192 | 2.7612 |
| 104:106:109:111:113:116:118:121:124:126:129:132:135:138:141:144:147:150:154:157:160:164:167:171:175:179:183:187:191:195:199:204:208 | 2.6423 |
| 107:109:112:114:117:119:122:125:127:130:133:136:139:142:145:148:151:155:158:161:165:169:172:176:180:184:188:192:196:201:205:209:214 | 2.4602 |
| 111:113:116:118:121:124:126:129:132:135:138:141:144:147:150:154:157:160:164:168:171:175:179:183:187:191:195:199:204:208:213:217:222 | 2.4087 |
| 116:119:121:124:126:129:132:135:138:141:144:147:150:154:157:161:164:168:171:175:179:183:187:191:195:199:204:208:213:217:222:227:232 | 2.1756 |
33 EDO
| 33 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 42:43:44:45:46:47:48:49:50:51:52:53:54:55:56:58:59:60:61:63:64:65:67:68:70:71:73:74:76:77:79:81:82:84 | 7.1600 |
| 43:44:45:46:47:48:49:50:51:52:53:54:55:57:58:59:60:61:63:64:65:67:68:70:71:73:74:76:77:79:81:82:84:86 | 6.3009 |
| 44:45:46:47:48:49:50:51:52:53:54:55:57:58:59:60:62:63:64:66:67:68:70:71:73:74:76:78:79:81:83:84:86:88 | 5.6307 |
| 45:46:47:48:49:50:51:52:53:54:56:57:58:59:60:62:63:64:66:67:68:70:71:73:74:76:78:79:81:83:85:86:88:90 | 5.5466 |
| 50:51:52:53:54:56:57:58:59:60:62:63:64:66:67:69:70:71:73:75:76:78:79:81:83:85:86:88:90:92:94:96:98:100 | 5.5000 |
| 55:56:57:59:60:61:62:64:65:66:68:69:71:72:74:75:77:79:80:82:84:85:87:89:91:93:95:97:99:101:103:105:108:110 | 5.0897 |
| 58:59:60:62:63:64:66:67:69:70:72:73:75:76:78:79:81:83:85:86:88:90:92:94:96:98:100:102:104:107:109:111:114:116 | 5.0720 |
| 61:62:64:65:66:68:69:71:72:74:75:77:78:80:82:84:85:87:89:91:93:95:97:99:101:103:105:108:110:112:115:117:119:122 | 4.5989 |
| 63:64:66:67:69:70:71:73:75:76:78:79:81:83:85:86:88:90:92:94:96:98:100:102:104:107:109:111:113:116:118:121:123:126 | 4.3946 |
| 65:66:68:69:71:72:74:75:77:79:80:82:84:85:87:89:91:93:95:97:99:101:103:105:108:110:112:115:117:120:122:125:127:130 | 4.2405 |
| 67:68:70:71:73:74:76:78:79:81:83:84:86:88:90:92:94:96:98:100:102:104:106:109:111:113:116:118:121:123:126:128:131:134 | 4.2011 |
| 70:71:73:75:76:78:79:81:83:85:86:88:90:92:94:96:98:100:102:104:107:109:111:113:116:118:121:123:126:129:131:134:137:140 | 3.8868 |
| 73:75:76:78:79:81:83:85:86:88:90:92:94:96:98:100:102:104:107:109:111:113:116:118:121:123:126:129:131:134:137:140:143:146 | 3.5324 |
| 76:78:79:81:83:84:86:88:90:92:94:96:98:100:102:104:106:109:111:113:116:118:121:123:126:128:131:134:137:140:143:146:149:152 | 3.5307 |
| 81:83:84:86:88:90:92:94:96:98:100:102:104:106:109:111:113:116:118:121:123:126:129:131:134:137:140:143:146:149:152:155:159:162 | 3.0633 |
| 90:92:94:96:98:100:102:104:106:109:111:113:116:118:121:123:126:129:131:134:137:140:143:146:149:152:155:159:162:165:169:173:176:180 | 2.6361 |
| 111:113:116:118:121:123:126:129:131:134:137:140:143:146:149:152:155:159:162:165:169:173:176:180:184:188:192:196:200:204:208:213:217:222 | 2.4801 |
| 119:122:124:127:129:132:135:138:141:144:147:150:153:156:160:163:167:170:174:177:181:185:189:193:197:201:205:210:214:219:223:228:233:238 | 2.1764 |
| 126:129:131:134:137:140:143:146:149:152:155:159:162:166:169:173:176:180:184:188:192:196:200:204:209:213:218:222:227:232:237:242:247:252 | 2.0249 |
34 EDO
| 34 EDO NEJI Scale | Average Error (¢) |
|---|---|
| 43:44:45:46:47:48:49:50:51:52:53:54:55:56:57:58:60:61:62:63:65:66:67:69:70:72:73:75:76:78:79:81:83:84:86 | 7.3907 |
| 44:45:46:47:48:49:50:51:52:53:54:55:56:57:59:60:61:62:64:65:66:68:69:70:72:73:75:76:78:79:81:83:84:86:88 | 6.4479 |
| 45:46:47:48:49:50:51:52:53:54:55:56:57:59:60:61:62:64:65:66:68:69:70:72:73:75:76:78:80:81:83:85:86:88:90 | 5.6133 |
| 46:47:48:49:50:51:52:53:54:55:56:58:59:60:61:62:64:65:66:68:69:71:72:74:75:77:78:80:81:83:85:87:88:90:92 | 5.4186 |
| 57:58:59:61:62:63:64:66:67:68:70:71:73:74:76:77:79:81:82:84:86:87:89:91:93:95:97:99:101:103:105:107:109:112:114 | 4.9442 |
| 60:61:62:64:65:66:68:69:71:72:74:75:77:78:80:81:83:85:87:88:90:92:94:96:98:100:102:104:106:108:111:113:115:118:120 | 4.7590 |
| 65:66:68:69:71:72:73:75:77:78:80:81:83:85:86:88:90:92:94:96:98:100:102:104:106:108:110:113:115:117:120:122:125:127:130 | 4.4513 |
| 70:71:73:74:76:78:79:81:82:84:86:88:89:91:93:95:97:99:101:103:105:107:110:112:114:117:119:121:124:126:129:132:134:137:140 | 4.0141 |
| 72:73:75:77:78:80:81:83:85:87:88:90:92:94:96:98:100:102:104:106:108:110:113:115:117:120:122:125:127:130:133:135:138:141:144 | 3.9535 |
| 75:77:78:80:81:83:85:87:88:90:92:94:96:98:100:102:104:106:108:110:113:115:117:120:122:125:127:130:133:135:138:141:144:147:150 | 3.6296 |
| 79:81:82:84:86:87:89:91:93:95:97:99:101:103:105:107:109:112:114:116:119:121:124:126:129:132:134:137:140:143:146:149:152:155:158 | 3.3969 |
| 83:85:86:88:90:92:94:96:98:100:102:104:106:108:110:113:115:117:120:122:125:127:130:133:135:138:141:144:147:150:153:156:159:163:166 | 3.1407 |
| 84:86:87:89:91:93:95:97:99:101:103:105:107:109:112:114:116:119:121:124:126:129:132:134:137:140:143:146:149:152:155:158:161:165:168 | 3.1373 |
| 90:92:94:96:98:100:102:104:106:108:110:113:115:117:120:122:125:127:130:133:135:138:141:144:147:150:153:156:159:163:166:169:173:176:180 | 3.1174 |
| 92:94:96:98:100:102:104:106:108:111:113:115:117:120:122:125:127:130:133:136:138:141:144:147:150:153:156:160:163:166:170:173:177:180:184 | 2.8988 |
| 93:95:97:99:101:103:105:107:109:112:114:116:119:121:124:126:129:132:134:137:140:143:146:149:152:155:158:161:165:168:171:175:179:182:186 | 2.8218 |
| 95:97:99:101:103:105:107:110:112:114:116:119:121:124:126:129:132:134:137:140:143:146:149:152:155:158:161:165:168:172:175:179:182:186:190 | 2.6424 |
| 101:103:105:107:110:112:114:116:119:121:124:126:129:132:134:137:140:143:146:149:152:155:158:161:165:168:172:175:179:182:186:190:194:198:202 | 2.6339 |
| 109:111:114:116:118:121:123:126:128:131:134:136:139:142:145:148:151:154:157:161:164:167:171:174:178:181:185:189:193:197:201:205:209:214:218 | 2.4137 |
| 119:121:124:127:129:132:134:137:140:143:146:149:152:155:158:162:165:168:172:175:179:183:186:190:194:198:202:206:211:215:219:224:228:233:238 | 2.3266 |
| 123:126:128:131:133:136:139:142:145:148:151:154:157:160:164:167:170:174:178:181:185:189:193:197:201:205:209:213:218:222:227:231:236:241:246 | 2.2871 |
| 124:127:129:132:135:137:140:143:146:149:152:155:158:162:165:168:172:175:179:183:186:190:194:198:202:206:211:215:219:224:229:233:238:243:248 | 2.1844 |