234edo

 ← 233edo 234edo 235edo →
Prime factorization 2 × 32 × 13
Step size 5.12821¢
Fifth 137\234 (702.564¢)
Semitones (A1:m2) 23:17 (117.9¢ : 87.18¢)
Consistency limit 7
Distinct consistency limit 7

234 equal divisions of the octave (abbreviated 234edo or 234ed2), also called 234-tone equal temperament (234tet) or 234 equal temperament (234et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 234 equal parts of about 5.13 ¢ each. Each step represents a frequency ratio of 21/234, or the 234th root of 2.

Theory

Prime harmonics

Approximation of prime harmonics in 234edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +0.61 -1.70 +0.40 +2.53 +0.50 -2.39 -0.08 +2.49 +1.19 -1.45
Relative (%) +0.0 +11.9 -33.1 +7.9 +49.3 +9.7 -46.6 -1.5 +48.7 +23.2 -28.2
Steps
(reduced)
234
(0)
371
(137)
543
(75)
657
(189)
810
(108)
866
(164)
956
(20)
994
(58)
1059
(123)
1137
(201)
1159
(223)

Intervals

# Cents Diatonic interval category
0 0.0 perfect unison
1 5.1 superunison
2 10.3 superunison
3 15.4 superunison
4 20.5 superunison
5 25.6 superunison
6 30.8 superunison
7 35.9 superunison
8 41.0 subminor second
9 46.2 subminor second
10 51.3 subminor second
11 56.4 subminor second
12 61.5 subminor second
13 66.7 subminor second
14 71.8 subminor second
15 76.9 subminor second
16 82.1 minor second
17 87.2 minor second
18 92.3 minor second
19 97.4 minor second
20 102.6 minor second
21 107.7 minor second
22 112.8 minor second
23 117.9 minor second
24 123.1 supraminor second
25 128.2 supraminor second
26 133.3 supraminor second
27 138.5 supraminor second
28 143.6 neutral second
29 148.7 neutral second
30 153.8 neutral second
31 159.0 neutral second
32 164.1 submajor second
33 169.2 submajor second
34 174.4 submajor second
35 179.5 submajor second
36 184.6 major second
37 189.7 major second
38 194.9 major second
39 200.0 major second
40 205.1 major second
41 210.3 major second
42 215.4 major second
43 220.5 supermajor second
44 225.6 supermajor second
45 230.8 supermajor second
46 235.9 supermajor second
47 241.0 ultramajor second
48 246.2 ultramajor second
49 251.3 ultramajor second
50 256.4 ultramajor second
51 261.5 subminor third
52 266.7 subminor third
53 271.8 subminor third
54 276.9 subminor third
55 282.1 minor third
56 287.2 minor third
57 292.3 minor third
58 297.4 minor third
59 302.6 minor third
60 307.7 minor third
61 312.8 minor third
62 317.9 minor third
63 323.1 supraminor third
64 328.2 supraminor third
65 333.3 supraminor third
66 338.5 supraminor third
67 343.6 neutral third
68 348.7 neutral third
69 353.8 neutral third
70 359.0 neutral third
71 364.1 submajor third
72 369.2 submajor third
73 374.4 submajor third
74 379.5 submajor third
75 384.6 major third
76 389.7 major third
77 394.9 major third
78 400.0 major third
79 405.1 major third
80 410.3 major third
81 415.4 major third
82 420.5 supermajor third
83 425.6 supermajor third
84 430.8 supermajor third
85 435.9 supermajor third
86 441.0 ultramajor third
87 446.2 ultramajor third
88 451.3 ultramajor third
89 456.4 ultramajor third
90 461.5 subfourth
91 466.7 subfourth
92 471.8 subfourth
93 476.9 subfourth
94 482.1 perfect fourth
95 487.2 perfect fourth
96 492.3 perfect fourth
97 497.4 perfect fourth
98 502.6 perfect fourth
99 507.7 perfect fourth
100 512.8 perfect fourth
101 517.9 superfourth
102 523.1 superfourth
103 528.2 superfourth
104 533.3 superfourth
105 538.5 superfourth
106 543.6 superfourth
107 548.7 superfourth
108 553.8 superfourth
109 559.0 superfourth
110 564.1 low tritone
111 569.2 low tritone
112 574.4 low tritone
113 579.5 low tritone
114 584.6 low tritone
115 589.7 low tritone
116 594.9 low tritone
117 600.0 high tritone
118 605.1 high tritone
119 610.3 high tritone
120 615.4 high tritone
121 620.5 high tritone
122 625.6 high tritone
123 630.8 high tritone
124 635.9 high tritone
125 641.0 subfifth
126 646.2 subfifth
127 651.3 subfifth
128 656.4 subfifth
129 661.5 subfifth
130 666.7 subfifth
131 671.8 subfifth
132 676.9 subfifth
133 682.1 subfifth
134 687.2 perfect fifth
135 692.3 perfect fifth
136 697.4 perfect fifth
137 702.6 perfect fifth
138 707.7 perfect fifth
139 712.8 perfect fifth
140 717.9 perfect fifth
141 723.1 superfifth
142 728.2 superfifth
143 733.3 superfifth
144 738.5 superfifth
145 743.6 ultrafifth
146 748.7 ultrafifth
147 753.8 ultrafifth
148 759.0 ultrafifth
149 764.1 subminor sixth
150 769.2 subminor sixth
151 774.4 subminor sixth
152 779.5 subminor sixth
153 784.6 minor sixth
154 789.7 minor sixth
155 794.9 minor sixth
156 800.0 minor sixth
157 805.1 minor sixth
158 810.3 minor sixth
159 815.4 minor sixth
160 820.5 supraminor sixth
161 825.6 supraminor sixth
162 830.8 supraminor sixth
163 835.9 supraminor sixth
164 841.0 neutral sixth
165 846.2 neutral sixth
166 851.3 neutral sixth
167 856.4 neutral sixth
168 861.5 submajor sixth
169 866.7 submajor sixth
170 871.8 submajor sixth
171 876.9 submajor sixth
172 882.1 major sixth
173 887.2 major sixth
174 892.3 major sixth
175 897.4 major sixth
176 902.6 major sixth
177 907.7 major sixth
178 912.8 major sixth
179 917.9 major sixth
180 923.1 supermajor sixth
181 928.2 supermajor sixth
182 933.3 supermajor sixth
183 938.5 supermajor sixth
184 943.6 ultramajor sixth
185 948.7 ultramajor sixth
186 953.8 ultramajor sixth
187 959.0 ultramajor sixth
188 964.1 subminor seventh
189 969.2 subminor seventh
190 974.4 subminor seventh
191 979.5 subminor seventh
192 984.6 minor seventh
193 989.7 minor seventh
194 994.9 minor seventh
195 1000.0 minor seventh
196 1005.1 minor seventh
197 1010.3 minor seventh
198 1015.4 minor seventh
199 1020.5 supraminor seventh
200 1025.6 supraminor seventh
201 1030.8 supraminor seventh
202 1035.9 supraminor seventh
203 1041.0 neutral seventh
204 1046.2 neutral seventh
205 1051.3 neutral seventh
206 1056.4 neutral seventh
207 1061.5 submajor seventh
208 1066.7 submajor seventh
209 1071.8 submajor seventh
210 1076.9 submajor seventh
211 1082.1 major seventh
212 1087.2 major seventh
213 1092.3 major seventh
214 1097.4 major seventh
215 1102.6 major seventh
216 1107.7 major seventh
217 1112.8 major seventh
218 1117.9 major seventh
219 1123.1 supermajor seventh
220 1128.2 supermajor seventh
221 1133.3 supermajor seventh
222 1138.5 supermajor seventh
223 1143.6 ultramajor seventh
224 1148.7 ultramajor seventh
225 1153.8 ultramajor seventh
226 1159.0 ultramajor seventh
227 1164.1 suboctave
228 1169.2 suboctave
229 1174.4 suboctave
230 1179.5 suboctave
231 1184.6 suboctave
232 1189.7 suboctave
233 1194.9 suboctave
234 1200.0 perfect octave