101afdo
| Prime factorization | 101 (prime) |
| Fifth | 152/101 (707.659c) |
| Dual sharp fifth | 152/101 (707.659c) |
| Dual flat fifth | 151/101 (696.231c) |
The Dalmatian scale [idiosyncratic term], also known as mode 101 of the harmonic series or 101afdo), is a 101-tone octave-repeating subset of the harmonic series.
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 |
Subsets
Non-NEJI
Dante
114/101
120/101
152/101
189/101
202/101
Da Vinci
113/101
126/101
151/101
178/101
202/101
Dawkins
118/101
135/101
152/101
185/101
202/101
Deepak
126/101
135/101
152/101
160/101
202/101
Deja Vu
121/101
151/101
162/101
182/101
202/101
Delgado
107/101
126/101
152/101
177/101
202/101
Dolly
127/101
134/101
152/101
177/101
202/101
Dylan
135/101
151/101
161/101
180/101
202/101
Fergus
121/101
135/101
140/101
151/101
175/101
181/101
202/101
Hansel
113/101
126/101
135/101
151/101
169/101
189/101
202/101
NEJI 5EDO
Equipentatonic
116/101
133/101
153/101
176/101
202/101
NEJI 6EDO
Liquorice
113/101
127/101
143/101
160/101
180/101
202/101
NEJI 12EDO
Blues Aeolian Hexatonic
120/101
135/101
143/101
151/101
160/101
202/101
Blues Aeolian Pentatonic I
120/101
135/101
151/101
160/101
202/101
Blues Aeolian Pentatonic II
120/101
151/101
160/101
180/101
202/101
Blues Bright Double Harmonic
107/101
127/101
135/101
151/101
160/101
180/101
191/101
202/101
Blues Dark Double Harmonic
113/101
120/101
135/101
143/101
151/101
160/101
191/101
202/101
Blues Dorian Hexatonic
120/101
135/101
151/101
170/101
180/101
202/101
Blues Dorian Pentatonic
120/101
151/101
170/101
180/101
202/101
Blues Dorian Septatonic
120/101
135/101
143/101
151/101
170/101
180/101
202/101
Blues Harmonic Hexatonic
113/101
120/101
135/101
151/101
191/101
202/101
Blues Harmonic Septatonic
120/101
135/101
143/101
151/101
160/101
191/101
202/101
Blues Leading
120/101
135/101
143/101
151/101
180/101
191/101
202/101
Blues Minor
120/101
135/101
143/101
151/101
180/101
202/101
Blues Minor Maj7
120/101
135/101
143/101
151/101
191/101
202/101
Blues Pentachordal
113/101
120/101
135/101
143/101
151/101
202/101
Dominant Pentatonic
113/101
127/101
151/101
180/101
202/101
Dorian
113/101
120/101
135/101
151/101
170/101
180/101
202/101
Double Harmonic
107/101
127/101
135/101
151/101
160/101
191/101
202/101
Hirajoshi
113/101
120/101
151/101
160/101
202/101
Ionian Pentatonic
127/101
135/101
151/101
191/101
202/101
Javanese Pentachordal
107/101
120/101
143/101
151/101
202/101
Kokin-Joshi
113/101
120/101
151/101
170/101
202/101
Locrian
107/101
120/101
135/101
143/101
160/101
180/101
202/101
Lydian
113/101
127/101
143/101
151/101
170/101
191/101
202/101
Major
113/101
127/101
135/101
151/101
170/101
191/101
202/101
Major Pentatonic
113/101
127/101
151/101
170/101
202/101
Minor
113/101
120/101
135/101
151/101
160/101
180/101
202/101
Minor Harmonic
113/101
120/101
135/101
151/101
160/101
191/101
202/101
Minor Harmonic Pentatonic
113/101
120/101
151/101
191/101
202/101
Minor Hexatonic
113/101
120/101
135/101
151/101
180/101
202/101
Minor Melodic
113/101
120/101
135/101
151/101
170/101
191/101
202/101
Minor Pentatonic
120/101
135/101
151/101
180/101
202/101
Mixolydian
113/101
127/101
135/101
151/101
170/101
180/101
202/101
Mixolydian Harmonic
127/101
135/101
151/101
160/101
180/101
202/101
Mixolydian Pentatonic
127/101
135/101
151/101
180/101
202/101
Phrygian
107/101
120/101
135/101
151/101
160/101
180/101
202/101
Phrygian Dominant
107/101
127/101
135/101
151/101
160/101
180/101
202/101
Phrygian Dominant Hexatonic
107/101
127/101
135/101
151/101
180/101
202/101
Phrygian Dominant Pentatonic
127/101
135/101
151/101
160/101
202/101
Phrygian Pentatonic
107/101
120/101
151/101
160/101
202/101
Picardy Hexatonic
113/101
127/101
135/101
151/101
160/101
202/101
Picardy Pentatonic
113/101
127/101
151/101
160/101
202/101
Liquorice (Whole Tone)
113/101
127/101
143/101
160/101
180/101
202/101