101afdo

The Dalmatian scale (also known as mode 101 of the harmonic series, or 101AFDO) is a large primodal scale which is excellent 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).

← 100afdo

101afdo

102afdo →

Prime factorization	101 (prime)
Dual sharp fifth	152/101 (707.659c)
Dual flat fifth	151/101 (696.231c)

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)

Even more impressively, the Dalmatian scale 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

108/101

119/101

150/101

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

133/101

153/101

176/101

202/101

Hansel

126/101

135/101

152/101

160/101

202/101

Pearl

120/101

126/101

152/101

177/101

202/101

NEJI 5EDO

Equipentatonic

116/101

133/101

153/101

176/101

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

NEJI 19EDO

Fergus

121/101

135/101

140/101

151/101

175/101

181/101

202/101