230edo

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← 229edo230edo231edo →
Prime factorization 2 × 5 × 23
Step size 5.21739¢ 
Fifth 135\230 (704.348¢) (→27\46)
Semitones (A1:m2) 25:15 (130.4¢ : 78.26¢)
Dual sharp fifth 135\230 (704.348¢) (→27\46)
Dual flat fifth 134\230 (699.13¢) (→67\115)
Dual major 2nd 39\230 (203.478¢)
Consistency limit 3
Distinct consistency limit 3

230 equal divisions of the octave (abbreviated 230edo or 230ed2), also called 230-tone equal temperament (230tet) or 230 equal temperament (230et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 230 equal parts of about 5.22 ¢ each. Each step represents a frequency ratio of 21/230, or the 230th root of 2.

Theory

Odd harmonics

Approximation of odd harmonics in 230edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +2.39 -0.23 +1.61 -0.43 +1.73 -0.53 +2.17 -0.61 -0.12 -1.22 -2.19
Relative (%) +45.9 -4.3 +30.8 -8.3 +33.1 -10.1 +41.5 -11.6 -2.3 -23.3 -41.9
Steps
(reduced)
365
(135)
534
(74)
646
(186)
729
(39)
796
(106)
851
(161)
899
(209)
940
(20)
977
(57)
1010
(90)
1040
(120)

Intervals

# Cents Diatonic interval category
0 0.0 perfect unison
1 5.2 superunison
2 10.4 superunison
3 15.7 superunison
4 20.9 superunison
5 26.1 superunison
6 31.3 superunison
7 36.5 superunison
8 41.7 subminor second
9 47.0 subminor second
10 52.2 subminor second
11 57.4 subminor second
12 62.6 subminor second
13 67.8 subminor second
14 73.0 subminor second
15 78.3 subminor second
16 83.5 minor second
17 88.7 minor second
18 93.9 minor second
19 99.1 minor second
20 104.3 minor second
21 109.6 minor second
22 114.8 minor second
23 120.0 supraminor second
24 125.2 supraminor second
25 130.4 supraminor second
26 135.7 supraminor second
27 140.9 neutral second
28 146.1 neutral second
29 151.3 neutral second
30 156.5 neutral second
31 161.7 submajor second
32 167.0 submajor second
33 172.2 submajor second
34 177.4 submajor second
35 182.6 major second
36 187.8 major second
37 193.0 major second
38 198.3 major second
39 203.5 major second
40 208.7 major second
41 213.9 major second
42 219.1 major second
43 224.3 supermajor second
44 229.6 supermajor second
45 234.8 supermajor second
46 240.0 ultramajor second
47 245.2 ultramajor second
48 250.4 ultramajor second
49 255.7 ultramajor second
50 260.9 subminor third
51 266.1 subminor third
52 271.3 subminor third
53 276.5 subminor third
54 281.7 minor third
55 287.0 minor third
56 292.2 minor third
57 297.4 minor third
58 302.6 minor third
59 307.8 minor third
60 313.0 minor third
61 318.3 minor third
62 323.5 supraminor third
63 328.7 supraminor third
64 333.9 supraminor third
65 339.1 supraminor third
66 344.3 neutral third
67 349.6 neutral third
68 354.8 neutral third
69 360.0 submajor third
70 365.2 submajor third
71 370.4 submajor third
72 375.7 submajor third
73 380.9 major third
74 386.1 major third
75 391.3 major third
76 396.5 major third
77 401.7 major third
78 407.0 major third
79 412.2 major third
80 417.4 major third
81 422.6 supermajor third
82 427.8 supermajor third
83 433.0 supermajor third
84 438.3 supermajor third
85 443.5 ultramajor third
86 448.7 ultramajor third
87 453.9 ultramajor third
88 459.1 ultramajor third
89 464.3 subfourth
90 469.6 subfourth
91 474.8 subfourth
92 480.0 perfect fourth
93 485.2 perfect fourth
94 490.4 perfect fourth
95 495.7 perfect fourth
96 500.9 perfect fourth
97 506.1 perfect fourth
98 511.3 perfect fourth
99 516.5 perfect fourth
100 521.7 superfourth
101 527.0 superfourth
102 532.2 superfourth
103 537.4 superfourth
104 542.6 superfourth
105 547.8 superfourth
106 553.0 superfourth
107 558.3 superfourth
108 563.5 low tritone
109 568.7 low tritone
110 573.9 low tritone
111 579.1 low tritone
112 584.3 low tritone
113 589.6 low tritone
114 594.8 low tritone
115 600.0 high tritone
116 605.2 high tritone
117 610.4 high tritone
118 615.7 high tritone
119 620.9 high tritone
120 626.1 high tritone
121 631.3 high tritone
122 636.5 high tritone
123 641.7 subfifth
124 647.0 subfifth
125 652.2 subfifth
126 657.4 subfifth
127 662.6 subfifth
128 667.8 subfifth
129 673.0 subfifth
130 678.3 subfifth
131 683.5 perfect fifth
132 688.7 perfect fifth
133 693.9 perfect fifth
134 699.1 perfect fifth
135 704.3 perfect fifth
136 709.6 perfect fifth
137 714.8 perfect fifth
138 720.0 superfifth
139 725.2 superfifth
140 730.4 superfifth
141 735.7 superfifth
142 740.9 ultrafifth
143 746.1 ultrafifth
144 751.3 ultrafifth
145 756.5 ultrafifth
146 761.7 subminor sixth
147 767.0 subminor sixth
148 772.2 subminor sixth
149 777.4 subminor sixth
150 782.6 minor sixth
151 787.8 minor sixth
152 793.0 minor sixth
153 798.3 minor sixth
154 803.5 minor sixth
155 808.7 minor sixth
156 813.9 minor sixth
157 819.1 minor sixth
158 824.3 supraminor sixth
159 829.6 supraminor sixth
160 834.8 supraminor sixth
161 840.0 neutral sixth
162 845.2 neutral sixth
163 850.4 neutral sixth
164 855.7 neutral sixth
165 860.9 submajor sixth
166 866.1 submajor sixth
167 871.3 submajor sixth
168 876.5 submajor sixth
169 881.7 major sixth
170 887.0 major sixth
171 892.2 major sixth
172 897.4 major sixth
173 902.6 major sixth
174 907.8 major sixth
175 913.0 major sixth
176 918.3 major sixth
177 923.5 supermajor sixth
178 928.7 supermajor sixth
179 933.9 supermajor sixth
180 939.1 supermajor sixth
181 944.3 ultramajor sixth
182 949.6 ultramajor sixth
183 954.8 ultramajor sixth
184 960.0 subminor seventh
185 965.2 subminor seventh
186 970.4 subminor seventh
187 975.7 subminor seventh
188 980.9 minor seventh
189 986.1 minor seventh
190 991.3 minor seventh
191 996.5 minor seventh
192 1001.7 minor seventh
193 1007.0 minor seventh
194 1012.2 minor seventh
195 1017.4 minor seventh
196 1022.6 supraminor seventh
197 1027.8 supraminor seventh
198 1033.0 supraminor seventh
199 1038.3 supraminor seventh
200 1043.5 neutral seventh
201 1048.7 neutral seventh
202 1053.9 neutral seventh
203 1059.1 neutral seventh
204 1064.3 submajor seventh
205 1069.6 submajor seventh
206 1074.8 submajor seventh
207 1080.0 major seventh
208 1085.2 major seventh
209 1090.4 major seventh
210 1095.7 major seventh
211 1100.9 major seventh
212 1106.1 major seventh
213 1111.3 major seventh
214 1116.5 major seventh
215 1121.7 supermajor seventh
216 1127.0 supermajor seventh
217 1132.2 supermajor seventh
218 1137.4 supermajor seventh
219 1142.6 ultramajor seventh
220 1147.8 ultramajor seventh
221 1153.0 ultramajor seventh
222 1158.3 ultramajor seventh
223 1163.5 suboctave
224 1168.7 suboctave
225 1173.9 suboctave
226 1179.1 suboctave
227 1184.3 suboctave
228 1189.6 suboctave
229 1194.8 suboctave
230 1200.0 perfect octave


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