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).
Lowest-error 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