101afdo
| ← 100afdo | 101afdo | 102afdo → |
101afdo (arithmetic frequency division of the octave), or 101odo (otonal division of the octave), divides the octave into 101 parts of 1/101 each. It is a superset of 100afdo and a subset of 102afdo. As a scale it may be known as mode 101 of the harmonic series, the Over-101 scale, or the Dalmatian scale [idiosyncratic term]. This view is equivalent to 101afdo except that it has a fixed root and cannot be rotated.
It is a large primodal scale which is suited for use as a neji tuning. It is the 26th prime mode of the harmonic series. Its name is a reference to the animated TV series 101 Dalmatian Street (2019).
Optimal neji approximations
The Dalmatian scale approximates four edos, including two zeta peak edos, with lower maximum error than any smaller mode of the harmonic series:
- 19edo (101:105:109:113:117:121:126:130:135:140:145:151:156:162:168:175:181:188:195:202)
- 24edo (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)
- 25edo (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)
- 27edo (101:104:106:109:112:115:118:121:124:127:131:134:137:141:145:148:152:156:160:164:169:173:178:182:187:192:197:202)
It approximates seven edos, including three zeta peak edos, with lower average error than any smaller mode of the harmonic series:
- 5edo (101:116:133:153:176:202)
- 12edo (101:107:113:120:127:135:143:151:160:170:180:191:202)
- 14edo (101:106:112:117:123:129:136:143:150:158:166:174:183:192:202)
- 22edo (101:104:108:111:115:118:122:126:130:134:138:143:147:152:157:162:167:173:178:184:190:196:202)
- 24edo (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)
- 25edo (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)
- 34edo (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)
Table of intervals
| Step | Harmonic | Just ratio | Cents value |
|---|---|---|---|
| 1 | 102nd | 102/101 | 17.057 |
| 2 | 103rd | 103/101 | 33.947 |
| 3 | 104th | 104/101 | 50.674 |
| 4 | 105th | 105/101 | 67.241 |
| 5 | 106th | 106/101 | 83.651 |
| 6 | 107th | 107/101 | 99.907 |
| 7 | 108th | 108/101 | 116.011 |
| 8 | 109th | 109/101 | 131.967 |
| 9 | 110th | 110/101 | 147.778 |
| 10 | 111th | 111/101 | 163.445 |
| 11 | 112th | 112/101 | 178.972 |
| 12 | 113th | 113/101 | 194.361 |
| 13 | 114th | 114/101 | 209.614 |
| 14 | 115th | 115/101 | 224.734 |
| 15 | 116th | 116/101 | 239.723 |
| 16 | 117th | 117/101 | 254.584 |
| 17 | 118th | 118/101 | 269.318 |
| 18 | 119th | 119/101 | 283.928 |
| 19 | 120th | 120/101 | 298.415 |
| 20 | 121st | 121/101 | 312.782 |
| 21 | 122nd | 122/101 | 327.031 |
| 22 | 123rd | 123/101 | 341.164 |
| 23 | 124th | 124/101 | 355.182 |
| 24 | 125th | 125/101 | 369.087 |
| 25 | 126th | 126/101 | 382.882 |
| 26 | 127th | 127/101 | 396.568 |
| 27 | 128th | 128/101 | 410.146 |
| 28 | 129th | 129/101 | 423.619 |
| 29 | 130th | 130/101 | 436.988 |
| 30 | 131st | 131/101 | 450.254 |
| 31 | 132nd | 132/101 | 463.419 |
| 32 | 133rd | 133/101 | 476.485 |
| 33 | 134th | 134/101 | 489.453 |
| 34 | 135th | 135/101 | 502.325 |
| 35 | 136th | 136/101 | 515.102 |
| 36 | 137th | 137/101 | 527.785 |
| 37 | 138th | 138/101 | 540.376 |
| 38 | 139th | 139/101 | 552.876 |
| 39 | 140th | 140/101 | 565.286 |
| 40 | 141st | 141/101 | 577.608 |
| 41 | 142nd | 142/101 | 589.843 |
| 42 | 143rd | 143/101 | 601.992 |
| 43 | 144th | 144/101 | 614.056 |
| 44 | 145th | 145/101 | 626.037 |
| 45 | 146th | 146/101 | 637.936 |
| 46 | 147th | 147/101 | 649.753 |
| 47 | 148th | 148/101 | 661.490 |
| 48 | 149th | 149/101 | 673.148 |
| 49 | 150th | 150/101 | 684.729 |
| 50 | 151st | 151/101 | 696.232 |
| 51 | 152nd | 152/101 | 707.659 |
| 52 | 153rd | 153/101 | 719.012 |
| 53 | 154th | 154/101 | 730.290 |
| 54 | 155th | 155/101 | 741.496 |
| 55 | 156th | 156/101 | 752.629 |
| 56 | 157th | 157/101 | 763.691 |
| 57 | 158th | 158/101 | 774.683 |
| 58 | 159th | 159/101 | 785.606 |
| 59 | 160th | 160/101 | 796.460 |
| 60 | 161st | 161/101 | 807.246 |
| 61 | 162nd | 162/101 | 817.966 |
| 62 | 163rd | 163/101 | 828.620 |
| 63 | 164th | 164/101 | 839.209 |
| 64 | 165th | 165/101 | 849.733 |
| 65 | 166th | 166/101 | 860.194 |
| 66 | 167th | 167/101 | 870.591 |
| 67 | 168th | 168/101 | 880.927 |
| 68 | 169th | 169/101 | 891.202 |
| 69 | 170th | 170/101 | 901.415 |
| 70 | 171st | 171/101 | 911.569 |
| 71 | 172nd | 172/101 | 921.664 |
| 72 | 173rd | 173/101 | 931.700 |
| 73 | 174th | 174/101 | 941.678 |
| 74 | 175th | 175/101 | 951.600 |
| 75 | 176th | 176/101 | 961.464 |
| 76 | 177th | 177/101 | 971.273 |
| 77 | 178th | 178/101 | 981.026 |
| 78 | 179th | 179/101 | 990.725 |
| 79 | 180th | 180/101 | 1000.370 |
| 80 | 181st | 181/101 | 1009.961 |
| 81 | 182nd | 182/101 | 1019.500 |
| 82 | 183rd | 183/101 | 1028.986 |
| 83 | 184th | 184/101 | 1038.421 |
| 84 | 185th | 185/101 | 1047.804 |
| 85 | 186th | 186/101 | 1057.137 |
| 86 | 187th | 187/101 | 1066.420 |
| 87 | 188th | 188/101 | 1075.653 |
| 88 | 189th | 189/101 | 1084.837 |
| 89 | 190th | 190/101 | 1093.973 |
| 90 | 191st | 191/101 | 1103.061 |
| 91 | 192nd | 192/101 | 1112.101 |
| 92 | 193rd | 193/101 | 1121.095 |
| 93 | 194th | 194/101 | 1130.042 |
| 94 | 195th | 195/101 | 1138.943 |
| 95 | 196th | 196/101 | 1147.798 |
| 96 | 197th | 197/101 | 1156.608 |
| 97 | 198th | 198/101 | 1165.374 |
| 98 | 199th | 199/101 | 1174.096 |
| 99 | 200th | 200/101 | 1182.774 |
| 100 | 201st | 201/101 | 1191.408 |
| 101 | 202nd | 202/101 | 1200.000 |
Scales
Non-neji
Dante
101:114:120:152:189:202
Da Vinci
101:113:126:151:178:202
Dawkins
101:118:135:152:185:202
Deepak
101:126:135:152:160:202
Deja Vu
101:121:151:162:182:202
Delgado
101:107:126:152:177:202
Dolly
101:127:134:152:177:202
Dylan
101:135:151:161:180:202
Fergus
101:121:135:140:151:175:181:202
Hansel
101:113:126:135:151:169:189:202
Neji 5edo
Equipentatonic
101:116:133:153:176:202
Neji 6edo
Liquorice
101:113:127:143:160:180:202
Neji 12edo
Blues Aeolian Hexatonic
101:120:135:143:151:160:202
Blues Aeolian Pentatonic I
101:120:135:151:160:202
Blues Aeolian Pentatonic II
101:120:151:160:180:202
Blues Bright Double Harmonic
101:107:127:135:151:160:180:191:202
Blues Dark Double Harmonic
101:113:120:135:143:151:160:191:202
Blues Dorian Hexatonic
101:120:135:151:170:180:202
Blues Dorian Pentatonic
101:120:151:170:180:202
Blues Dorian Septatonic
101:120:135:143:151:170:180:202
Blues Harmonic Hexatonic
101:113:120:135:151:191:202
Blues Harmonic Septatonic
101:120:135:143:151:160:191:202
Blues Leading
101:120:135:143:151:180:191:202
Blues Minor
101:120:135:143:151:180:202
Blues Minor Maj7
101:120:135:143:151:191:202
Blues Pentachordal
101:113:120:135:143:151:202
Dominant Pentatonic
101:113:127:151:180:202
Dorian
101:113:120:135:151:170:180:202
Double Harmonic
1101:07:127:135:151:160:191:202
Hirajoshi
101:113:120:151:160:202
Ionian Pentatonic
101:127:135:151:191:202
Javanese Pentachordal
101:107:120:143:151:202
Kokin-Joshi
101:113:120:151:170:202
Locrian
101:107:120:135:143:160:180:202
Lydian
101:113:127:143:151:170:191:202
Major
101:113:127:135:151:170:191:202
Major Pentatonic
101:113:127:151:170:202
Minor
101:113:120:135:151:160:180:202
Minor Harmonic
101:113:120:135:151:160:191:202
Minor Harmonic Pentatonic
101:113:120:151:191:202
Minor Hexatonic
101:113:120:135:151:180:202
Minor Melodic
101:113:120:135:151:170:191:202
Minor Pentatonic
101:120:135:151:180:202
Mixolydian
101:113:127:135:151:170:180:202
Mixolydian Harmonic
101:127:135:151:160:180:202
Mixolydian Pentatonic
101:127:135:151:180:202
Phrygian
101:107:120:135:151:160:180:202
Phrygian Dominant
101:107:127:135:151:160:180:202
Phrygian Dominant Hexatonic
101:107:127:135:151:180:202
Phrygian Dominant Pentatonic
101:127:135:151:160:202
Phrygian Pentatonic
101:107:120:151:160:202
Picardy Hexatonic
101:113:127:135:151:160:202
Picardy Pentatonic
101:113:127:151:160:202
Liquorice (Whole Tone)
101:113:127:143:160:180:202