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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | |||
=== Odd harmonics === | |||
{{Harmonics in equal|230}} | |||
== Intervals == | |||
{| class="wikitable" | |||
|- | |||
! # | |||
! 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 | ||
|- | |- | ||
|230 | | 208 | ||
|1200.0 | | 1085.2 | ||
|perfect octave | | 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 | |||
|} | |} | ||
{{Stub}} |