230edo: Difference between revisions
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m changed EDO intro to ED intro |
ArrowHead294 (talk | contribs) mNo edit summary |
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== Intervals == | == Intervals == | ||
{|class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! # | ! # | ||
Line 13: | Line 13: | ||
! Diatonic interval category | ! Diatonic interval category | ||
|- | |- | ||
|0 | | 0 | ||
|0.0 | | 0.0 | ||
|perfect unison | | perfect unison | ||
|- | |- | ||
|1 | | 1 | ||
|5.2 | | 5.2 | ||
|superunison | | superunison | ||
|- | |- | ||
|2 | | 2 | ||
|10.4 | | 10.4 | ||
|superunison | | superunison | ||
|- | |- | ||
|3 | | 3 | ||
|15.7 | | 15.7 | ||
|superunison | | superunison | ||
|- | |- | ||
|4 | | 4 | ||
|20.9 | | 20.9 | ||
|superunison | | superunison | ||
|- | |- | ||
|5 | | 5 | ||
|26.1 | | 26.1 | ||
|superunison | | superunison | ||
|- | |- | ||
|6 | | 6 | ||
|31.3 | | 31.3 | ||
|superunison | | superunison | ||
|- | |- | ||
|7 | | 7 | ||
|36.5 | | 36.5 | ||
|superunison | | superunison | ||
|- | |- | ||
|8 | | 8 | ||
|41.7 | | 41.7 | ||
|subminor second | | subminor second | ||
|- | |- | ||
|9 | | 9 | ||
|47.0 | | 47.0 | ||
|subminor second | | subminor second | ||
|- | |- | ||
|10 | | 10 | ||
|52.2 | | 52.2 | ||
|subminor second | | subminor second | ||
|- | |- | ||
|11 | | 11 | ||
|57.4 | | 57.4 | ||
|subminor second | | subminor second | ||
|- | |- | ||
|12 | | 12 | ||
|62.6 | | 62.6 | ||
|subminor second | | subminor second | ||
|- | |- | ||
|13 | | 13 | ||
|67.8 | | 67.8 | ||
|subminor second | | subminor second | ||
|- | |- | ||
|14 | | 14 | ||
|73.0 | | 73.0 | ||
|subminor second | | subminor second | ||
|- | |- | ||
|15 | | 15 | ||
|78.3 | | 78.3 | ||
|subminor second | | subminor second | ||
|- | |- | ||
|16 | | 16 | ||
|83.5 | | 83.5 | ||
|minor second | | minor second | ||
|- | |- | ||
|17 | | 17 | ||
|88.7 | | 88.7 | ||
|minor second | | minor second | ||
|- | |- | ||
|18 | | 18 | ||
|93.9 | | 93.9 | ||
|minor second | | minor second | ||
|- | |- | ||
|19 | | 19 | ||
|99.1 | | 99.1 | ||
|minor second | | minor second | ||
|- | |- | ||
|20 | | 20 | ||
|104.3 | | 104.3 | ||
|minor second | | minor second | ||
|- | |- | ||
|21 | | 21 | ||
|109.6 | | 109.6 | ||
|minor second | | minor second | ||
|- | |- | ||
|22 | | 22 | ||
|114.8 | | 114.8 | ||
|minor second | | minor second | ||
|- | |- | ||
|23 | | 23 | ||
|120.0 | | 120.0 | ||
|supraminor second | | supraminor second | ||
|- | |- | ||
|24 | | 24 | ||
|125.2 | | 125.2 | ||
|supraminor second | | supraminor second | ||
|- | |- | ||
|25 | | 25 | ||
|130.4 | | 130.4 | ||
|supraminor second | | supraminor second | ||
|- | |- | ||
|26 | | 26 | ||
|135.7 | | 135.7 | ||
|supraminor second | | supraminor second | ||
|- | |- | ||
|27 | | 27 | ||
|140.9 | | 140.9 | ||
|neutral second | | neutral second | ||
|- | |- | ||
|28 | | 28 | ||
|146.1 | | 146.1 | ||
|neutral second | | neutral second | ||
|- | |- | ||
|29 | | 29 | ||
|151.3 | | 151.3 | ||
|neutral second | | neutral second | ||
|- | |- | ||
|30 | | 30 | ||
|156.5 | | 156.5 | ||
|neutral second | | neutral second | ||
|- | |- | ||
|31 | | 31 | ||
|161.7 | | 161.7 | ||
|submajor second | | submajor second | ||
|- | |- | ||
|32 | | 32 | ||
|167.0 | | 167.0 | ||
|submajor second | | submajor second | ||
|- | |- | ||
|33 | | 33 | ||
|172.2 | | 172.2 | ||
|submajor second | | submajor second | ||
|- | |- | ||
|34 | | 34 | ||
|177.4 | | 177.4 | ||
|submajor second | | submajor second | ||
|- | |- | ||
|35 | | 35 | ||
|182.6 | | 182.6 | ||
|major second | | major second | ||
|- | |- | ||
|36 | | 36 | ||
|187.8 | | 187.8 | ||
|major second | | major second | ||
|- | |- | ||
|37 | | 37 | ||
|193.0 | | 193.0 | ||
|major second | | major second | ||
|- | |- | ||
|38 | | 38 | ||
|198.3 | | 198.3 | ||
|major second | | major second | ||
|- | |- | ||
|39 | | 39 | ||
|203.5 | | 203.5 | ||
|major second | | major second | ||
|- | |- | ||
|40 | | 40 | ||
|208.7 | | 208.7 | ||
|major second | | major second | ||
|- | |- | ||
|41 | | 41 | ||
|213.9 | | 213.9 | ||
|major second | | major second | ||
|- | |- | ||
|42 | | 42 | ||
|219.1 | | 219.1 | ||
|major second | | major second | ||
|- | |- | ||
|43 | | 43 | ||
|224.3 | | 224.3 | ||
|supermajor second | | supermajor second | ||
|- | |- | ||
|44 | | 44 | ||
|229.6 | | 229.6 | ||
|supermajor second | | supermajor second | ||
|- | |- | ||
|45 | | 45 | ||
|234.8 | | 234.8 | ||
|supermajor second | | supermajor second | ||
|- | |- | ||
|46 | | 46 | ||
|240.0 | | 240.0 | ||
|ultramajor second | | ultramajor second | ||
|- | |- | ||
|47 | | 47 | ||
|245.2 | | 245.2 | ||
|ultramajor second | | ultramajor second | ||
|- | |- | ||
|48 | | 48 | ||
|250.4 | | 250.4 | ||
|ultramajor second | | ultramajor second | ||
|- | |- | ||
|49 | | 49 | ||
|255.7 | | 255.7 | ||
|ultramajor second | | ultramajor second | ||
|- | |- | ||
|50 | | 50 | ||
|260.9 | | 260.9 | ||
|subminor third | | subminor third | ||
|- | |- | ||
|51 | | 51 | ||
|266.1 | | 266.1 | ||
|subminor third | | subminor third | ||
|- | |- | ||
|52 | | 52 | ||
|271.3 | | 271.3 | ||
|subminor third | | subminor third | ||
|- | |- | ||
|53 | | 53 | ||
|276.5 | | 276.5 | ||
|subminor third | | subminor third | ||
|- | |- | ||
|54 | | 54 | ||
|281.7 | | 281.7 | ||
|minor third | | minor third | ||
|- | |- | ||
|55 | | 55 | ||
|287.0 | | 287.0 | ||
|minor third | | minor third | ||
|- | |- | ||
|56 | | 56 | ||
|292.2 | | 292.2 | ||
|minor third | | minor third | ||
|- | |- | ||
|57 | | 57 | ||
|297.4 | | 297.4 | ||
|minor third | | minor third | ||
|- | |- | ||
|58 | | 58 | ||
|302.6 | | 302.6 | ||
|minor third | | minor third | ||
|- | |- | ||
|59 | | 59 | ||
|307.8 | | 307.8 | ||
|minor third | | minor third | ||
|- | |- | ||
|60 | | 60 | ||
|313.0 | | 313.0 | ||
|minor third | | minor third | ||
|- | |- | ||
|61 | | 61 | ||
|318.3 | | 318.3 | ||
|minor third | | minor third | ||
|- | |- | ||
|62 | | 62 | ||
|323.5 | | 323.5 | ||
|supraminor third | | supraminor third | ||
|- | |- | ||
|63 | | 63 | ||
|328.7 | | 328.7 | ||
|supraminor third | | supraminor third | ||
|- | |- | ||
|64 | | 64 | ||
|333.9 | | 333.9 | ||
|supraminor third | | supraminor third | ||
|- | |- | ||
|65 | | 65 | ||
|339.1 | | 339.1 | ||
|supraminor third | | supraminor third | ||
|- | |- | ||
|66 | | 66 | ||
|344.3 | | 344.3 | ||
|neutral third | | neutral third | ||
|- | |- | ||
|67 | | 67 | ||
|349.6 | | 349.6 | ||
|neutral third | | neutral third | ||
|- | |- | ||
|68 | | 68 | ||
|354.8 | | 354.8 | ||
|neutral third | | neutral third | ||
|- | |- | ||
|69 | | 69 | ||
|360.0 | | 360.0 | ||
|submajor third | | submajor third | ||
|- | |- | ||
|70 | | 70 | ||
|365.2 | | 365.2 | ||
|submajor third | | submajor third | ||
|- | |- | ||
|71 | | 71 | ||
|370.4 | | 370.4 | ||
|submajor third | | submajor third | ||
|- | |- | ||
|72 | | 72 | ||
|375.7 | | 375.7 | ||
|submajor third | | submajor third | ||
|- | |- | ||
|73 | | 73 | ||
|380.9 | | 380.9 | ||
|major third | | major third | ||
|- | |- | ||
|74 | | 74 | ||
|386.1 | | 386.1 | ||
|major third | | major third | ||
|- | |- | ||
|75 | | 75 | ||
|391.3 | | 391.3 | ||
|major third | | major third | ||
|- | |- | ||
|76 | | 76 | ||
|396.5 | | 396.5 | ||
|major third | | major third | ||
|- | |- | ||
|77 | | 77 | ||
|401.7 | | 401.7 | ||
|major third | | major third | ||
|- | |- | ||
|78 | | 78 | ||
|407.0 | | 407.0 | ||
|major third | | major third | ||
|- | |- | ||
|79 | | 79 | ||
|412.2 | | 412.2 | ||
|major third | | major third | ||
|- | |- | ||
|80 | | 80 | ||
|417.4 | | 417.4 | ||
|major third | | major third | ||
|- | |- | ||
|81 | | 81 | ||
|422.6 | | 422.6 | ||
|supermajor third | | supermajor third | ||
|- | |- | ||
|82 | | 82 | ||
|427.8 | | 427.8 | ||
|supermajor third | | supermajor third | ||
|- | |- | ||
|83 | | 83 | ||
|433.0 | | 433.0 | ||
|supermajor third | | supermajor third | ||
|- | |- | ||
|84 | | 84 | ||
|438.3 | | 438.3 | ||
|supermajor third | | supermajor third | ||
|- | |- | ||
|85 | | 85 | ||
|443.5 | | 443.5 | ||
|ultramajor third | | ultramajor third | ||
|- | |- | ||
|86 | | 86 | ||
|448.7 | | 448.7 | ||
|ultramajor third | | ultramajor third | ||
|- | |- | ||
|87 | | 87 | ||
|453.9 | | 453.9 | ||
|ultramajor third | | ultramajor third | ||
|- | |- | ||
|88 | | 88 | ||
|459.1 | | 459.1 | ||
|ultramajor third | | ultramajor third | ||
|- | |- | ||
|89 | | 89 | ||
|464.3 | | 464.3 | ||
|subfourth | | subfourth | ||
|- | |- | ||
|90 | | 90 | ||
|469.6 | | 469.6 | ||
|subfourth | | subfourth | ||
|- | |- | ||
|91 | | 91 | ||
|474.8 | | 474.8 | ||
|subfourth | | subfourth | ||
|- | |- | ||
|92 | | 92 | ||
|480.0 | | 480.0 | ||
|perfect fourth | | perfect fourth | ||
|- | |- | ||
|93 | | 93 | ||
|485.2 | | 485.2 | ||
|perfect fourth | | perfect fourth | ||
|- | |- | ||
|94 | | 94 | ||
|490.4 | | 490.4 | ||
|perfect fourth | | perfect fourth | ||
|- | |- | ||
|95 | | 95 | ||
|495.7 | | 495.7 | ||
|perfect fourth | | perfect fourth | ||
|- | |- | ||
|96 | | 96 | ||
|500.9 | | 500.9 | ||
|perfect fourth | | perfect fourth | ||
|- | |- | ||
|97 | | 97 | ||
|506.1 | | 506.1 | ||
|perfect fourth | | perfect fourth | ||
|- | |- | ||
|98 | | 98 | ||
|511.3 | | 511.3 | ||
|perfect fourth | | perfect fourth | ||
|- | |- | ||
|99 | | 99 | ||
|516.5 | | 516.5 | ||
|perfect fourth | | perfect fourth | ||
|- | |- | ||
|100 | | 100 | ||
|521.7 | | 521.7 | ||
|superfourth | | superfourth | ||
|- | |- | ||
|101 | | 101 | ||
|527.0 | | 527.0 | ||
|superfourth | | superfourth | ||
|- | |- | ||
|102 | | 102 | ||
|532.2 | | 532.2 | ||
|superfourth | | superfourth | ||
|- | |- | ||
|103 | | 103 | ||
|537.4 | | 537.4 | ||
|superfourth | | superfourth | ||
|- | |- | ||
|104 | | 104 | ||
|542.6 | | 542.6 | ||
|superfourth | | superfourth | ||
|- | |- | ||
|105 | | 105 | ||
|547.8 | | 547.8 | ||
|superfourth | | superfourth | ||
|- | |- | ||
|106 | | 106 | ||
|553.0 | | 553.0 | ||
|superfourth | | superfourth | ||
|- | |- | ||
|107 | | 107 | ||
|558.3 | | 558.3 | ||
|superfourth | | superfourth | ||
|- | |- | ||
|108 | | 108 | ||
|563.5 | | 563.5 | ||
|low tritone | | low tritone | ||
|- | |- | ||
|109 | | 109 | ||
|568.7 | | 568.7 | ||
|low tritone | | low tritone | ||
|- | |- | ||
|110 | | 110 | ||
|573.9 | | 573.9 | ||
|low tritone | | low tritone | ||
|- | |- | ||
|111 | | 111 | ||
|579.1 | | 579.1 | ||
|low tritone | | low tritone | ||
|- | |- | ||
|112 | | 112 | ||
|584.3 | | 584.3 | ||
|low tritone | | low tritone | ||
|- | |- | ||
|113 | | 113 | ||
|589.6 | | 589.6 | ||
|low tritone | | low tritone | ||
|- | |- | ||
|114 | | 114 | ||
|594.8 | | 594.8 | ||
|low tritone | | low tritone | ||
|- | |- | ||
|115 | | 115 | ||
|600.0 | | 600.0 | ||
|high tritone | | high tritone | ||
|- | |- | ||
|116 | | 116 | ||
|605.2 | | 605.2 | ||
|high tritone | | high tritone | ||
|- | |- | ||
|117 | | 117 | ||
|610.4 | | 610.4 | ||
|high tritone | | high tritone | ||
|- | |- | ||
|118 | | 118 | ||
|615.7 | | 615.7 | ||
|high tritone | | high tritone | ||
|- | |- | ||
|119 | | 119 | ||
|620.9 | | 620.9 | ||
|high tritone | | high tritone | ||
|- | |- | ||
|120 | | 120 | ||
|626.1 | | 626.1 | ||
|high tritone | | high tritone | ||
|- | |- | ||
|121 | | 121 | ||
|631.3 | | 631.3 | ||
|high tritone | | high tritone | ||
|- | |- | ||
|122 | | 122 | ||
|636.5 | | 636.5 | ||
|high tritone | | high tritone | ||
|- | |- | ||
|123 | | 123 | ||
|641.7 | | 641.7 | ||
|subfifth | | subfifth | ||
|- | |- | ||
|124 | | 124 | ||
|647.0 | | 647.0 | ||
|subfifth | | subfifth | ||
|- | |- | ||
|125 | | 125 | ||
|652.2 | | 652.2 | ||
|subfifth | | subfifth | ||
|- | |- | ||
|126 | | 126 | ||
|657.4 | | 657.4 | ||
|subfifth | | subfifth | ||
|- | |- | ||
|127 | | 127 | ||
|662.6 | | 662.6 | ||
|subfifth | | subfifth | ||
|- | |- | ||
|128 | | 128 | ||
|667.8 | | 667.8 | ||
|subfifth | | subfifth | ||
|- | |- | ||
|129 | | 129 | ||
|673.0 | | 673.0 | ||
|subfifth | | subfifth | ||
|- | |- | ||
|130 | | 130 | ||
|678.3 | | 678.3 | ||
|subfifth | | subfifth | ||
|- | |- | ||
|131 | | 131 | ||
|683.5 | | 683.5 | ||
|perfect fifth | | perfect fifth | ||
|- | |- | ||
|132 | | 132 | ||
|688.7 | | 688.7 | ||
|perfect fifth | | perfect fifth | ||
|- | |- | ||
|133 | | 133 | ||
|693.9 | | 693.9 | ||
|perfect fifth | | perfect fifth | ||
|- | |- | ||
|134 | | 134 | ||
|699.1 | | 699.1 | ||
|perfect fifth | | perfect fifth | ||
|- | |- | ||
|135 | | 135 | ||
|704.3 | | 704.3 | ||
|perfect fifth | | perfect fifth | ||
|- | |- | ||
|136 | | 136 | ||
|709.6 | | 709.6 | ||
|perfect fifth | | perfect fifth | ||
|- | |- | ||
|137 | | 137 | ||
|714.8 | | 714.8 | ||
|perfect fifth | | perfect fifth | ||
|- | |- | ||
|138 | | 138 | ||
|720.0 | | 720.0 | ||
|superfifth | | superfifth | ||
|- | |- | ||
|139 | | 139 | ||
|725.2 | | 725.2 | ||
|superfifth | | superfifth | ||
|- | |- | ||
|140 | | 140 | ||
|730.4 | | 730.4 | ||
|superfifth | | superfifth | ||
|- | |- | ||
|141 | | 141 | ||
|735.7 | | 735.7 | ||
|superfifth | | superfifth | ||
|- | |- | ||
|142 | | 142 | ||
|740.9 | | 740.9 | ||
|ultrafifth | | ultrafifth | ||
|- | |- | ||
|143 | | 143 | ||
|746.1 | | 746.1 | ||
|ultrafifth | | ultrafifth | ||
|- | |- | ||
|144 | | 144 | ||
|751.3 | | 751.3 | ||
|ultrafifth | | ultrafifth | ||
|- | |- | ||
|145 | | 145 | ||
|756.5 | | 756.5 | ||
|ultrafifth | | ultrafifth | ||
|- | |- | ||
|146 | | 146 | ||
|761.7 | | 761.7 | ||
|subminor sixth | | subminor sixth | ||
|- | |- | ||
|147 | | 147 | ||
|767.0 | | 767.0 | ||
|subminor sixth | | subminor sixth | ||
|- | |- | ||
|148 | | 148 | ||
|772.2 | | 772.2 | ||
|subminor sixth | | subminor sixth | ||
|- | |- | ||
|149 | | 149 | ||
|777.4 | | 777.4 | ||
|subminor sixth | | subminor sixth | ||
|- | |- | ||
|150 | | 150 | ||
|782.6 | | 782.6 | ||
|minor sixth | | minor sixth | ||
|- | |- | ||
|151 | | 151 | ||
|787.8 | | 787.8 | ||
|minor sixth | | minor sixth | ||
|- | |- | ||
|152 | | 152 | ||
|793.0 | | 793.0 | ||
|minor sixth | | minor sixth | ||
|- | |- | ||
|153 | | 153 | ||
|798.3 | | 798.3 | ||
|minor sixth | | minor sixth | ||
|- | |- | ||
|154 | | 154 | ||
|803.5 | | 803.5 | ||
|minor sixth | | minor sixth | ||
|- | |- | ||
|155 | | 155 | ||
|808.7 | | 808.7 | ||
|minor sixth | | minor sixth | ||
|- | |- | ||
|156 | | 156 | ||
|813.9 | | 813.9 | ||
|minor sixth | | minor sixth | ||
|- | |- | ||
|157 | | 157 | ||
|819.1 | | 819.1 | ||
|minor sixth | | minor sixth | ||
|- | |- | ||
|158 | | 158 | ||
|824.3 | | 824.3 | ||
|supraminor sixth | | supraminor sixth | ||
|- | |- | ||
|159 | | 159 | ||
|829.6 | | 829.6 | ||
|supraminor sixth | | supraminor sixth | ||
|- | |- | ||
|160 | | 160 | ||
|834.8 | | 834.8 | ||
|supraminor sixth | | supraminor sixth | ||
|- | |- | ||
|161 | | 161 | ||
|840.0 | | 840.0 | ||
|neutral sixth | | neutral sixth | ||
|- | |- | ||
|162 | | 162 | ||
|845.2 | | 845.2 | ||
|neutral sixth | | neutral sixth | ||
|- | |- | ||
|163 | | 163 | ||
|850.4 | | 850.4 | ||
|neutral sixth | | neutral sixth | ||
|- | |- | ||
|164 | | 164 | ||
|855.7 | | 855.7 | ||
|neutral sixth | | neutral sixth | ||
|- | |- | ||
|165 | | 165 | ||
|860.9 | | 860.9 | ||
|submajor sixth | | submajor sixth | ||
|- | |- | ||
|166 | | 166 | ||
|866.1 | | 866.1 | ||
|submajor sixth | | submajor sixth | ||
|- | |- | ||
|167 | | 167 | ||
|871.3 | | 871.3 | ||
|submajor sixth | | submajor sixth | ||
|- | |- | ||
|168 | | 168 | ||
|876.5 | | 876.5 | ||
|submajor sixth | | submajor sixth | ||
|- | |- | ||
|169 | | 169 | ||
|881.7 | | 881.7 | ||
|major sixth | | major sixth | ||
|- | |- | ||
|170 | | 170 | ||
|887.0 | | 887.0 | ||
|major sixth | | major sixth | ||
|- | |- | ||
|171 | | 171 | ||
|892.2 | | 892.2 | ||
|major sixth | | major sixth | ||
|- | |- | ||
|172 | | 172 | ||
|897.4 | | 897.4 | ||
|major sixth | | major sixth | ||
|- | |- | ||
|173 | | 173 | ||
|902.6 | | 902.6 | ||
|major sixth | | major sixth | ||
|- | |- | ||
|174 | | 174 | ||
|907.8 | | 907.8 | ||
|major sixth | | major sixth | ||
|- | |- | ||
|175 | | 175 | ||
|913.0 | | 913.0 | ||
|major sixth | | major sixth | ||
|- | |- | ||
|176 | | 176 | ||
|918.3 | | 918.3 | ||
|major sixth | | major sixth | ||
|- | |- | ||
|177 | | 177 | ||
|923.5 | | 923.5 | ||
|supermajor sixth | | supermajor sixth | ||
|- | |- | ||
|178 | | 178 | ||
|928.7 | | 928.7 | ||
|supermajor sixth | | supermajor sixth | ||
|- | |- | ||
|179 | | 179 | ||
|933.9 | | 933.9 | ||
|supermajor sixth | | supermajor sixth | ||
|- | |- | ||
|180 | | 180 | ||
|939.1 | | 939.1 | ||
|supermajor sixth | | supermajor sixth | ||
|- | |- | ||
|181 | | 181 | ||
|944.3 | | 944.3 | ||
|ultramajor sixth | | ultramajor sixth | ||
|- | |- | ||
|182 | | 182 | ||
|949.6 | | 949.6 | ||
|ultramajor sixth | | ultramajor sixth | ||
|- | |- | ||
|183 | | 183 | ||
|954.8 | | 954.8 | ||
|ultramajor sixth | | ultramajor sixth | ||
|- | |- | ||
|184 | | 184 | ||
|960.0 | | 960.0 | ||
|subminor seventh | | subminor seventh | ||
|- | |- | ||
|185 | | 185 | ||
|965.2 | | 965.2 | ||
|subminor seventh | | subminor seventh | ||
|- | |- | ||
|186 | | 186 | ||
|970.4 | | 970.4 | ||
|subminor seventh | | subminor seventh | ||
|- | |- | ||
|187 | | 187 | ||
|975.7 | | 975.7 | ||
|subminor seventh | | subminor seventh | ||
|- | |- | ||
|188 | | 188 | ||
|980.9 | | 980.9 | ||
|minor seventh | | minor seventh | ||
|- | |- | ||
|189 | | 189 | ||
|986.1 | | 986.1 | ||
|minor seventh | | minor seventh | ||
|- | |- | ||
|190 | | 190 | ||
|991.3 | | 991.3 | ||
|minor seventh | | minor seventh | ||
|- | |- | ||
|191 | | 191 | ||
|996.5 | | 996.5 | ||
|minor seventh | | minor seventh | ||
|- | |- | ||
|192 | | 192 | ||
|1001.7 | | 1001.7 | ||
|minor seventh | | minor seventh | ||
|- | |- | ||
|193 | | 193 | ||
|1007.0 | | 1007.0 | ||
|minor seventh | | minor seventh | ||
|- | |- | ||
|194 | | 194 | ||
|1012.2 | | 1012.2 | ||
|minor seventh | | minor seventh | ||
|- | |- | ||
|195 | | 195 | ||
|1017.4 | | 1017.4 | ||
|minor seventh | | minor seventh | ||
|- | |- | ||
|196 | | 196 | ||
|1022.6 | | 1022.6 | ||
|supraminor seventh | | supraminor seventh | ||
|- | |- | ||
|197 | | 197 | ||
|1027.8 | | 1027.8 | ||
|supraminor seventh | | supraminor seventh | ||
|- | |- | ||
|198 | | 198 | ||
|1033.0 | | 1033.0 | ||
|supraminor seventh | | supraminor seventh | ||
|- | |- | ||
|199 | | 199 | ||
|1038.3 | | 1038.3 | ||
|supraminor seventh | | supraminor seventh | ||
|- | |- | ||
|200 | | 200 | ||
|1043.5 | | 1043.5 | ||
|neutral seventh | | neutral seventh | ||
|- | |- | ||
|201 | | 201 | ||
|1048.7 | | 1048.7 | ||
|neutral seventh | | neutral seventh | ||
|- | |- | ||
|202 | | 202 | ||
|1053.9 | | 1053.9 | ||
|neutral seventh | | neutral seventh | ||
|- | |- | ||
|203 | | 203 | ||
|1059.1 | | 1059.1 | ||
|neutral seventh | | neutral seventh | ||
|- | |- | ||
|204 | | 204 | ||
|1064.3 | | 1064.3 | ||
|submajor seventh | | submajor seventh | ||
|- | |- | ||
|205 | | 205 | ||
|1069.6 | | 1069.6 | ||
|submajor seventh | | submajor seventh | ||
|- | |- | ||
|206 | | 206 | ||
|1074.8 | | 1074.8 | ||
|submajor seventh | | submajor seventh | ||
|- | |- | ||
|207 | | 207 | ||
|1080.0 | | 1080.0 | ||
|major seventh | | major seventh | ||
|- | |- | ||
|208 | | 208 | ||
|1085.2 | | 1085.2 | ||
|major seventh | | major seventh | ||
|- | |- | ||
|209 | | 209 | ||
|1090.4 | | 1090.4 | ||
|major seventh | | major seventh | ||
|- | |- | ||
|210 | | 210 | ||
|1095.7 | | 1095.7 | ||
|major seventh | | major seventh | ||
|- | |- | ||
|211 | | 211 | ||
|1100.9 | | 1100.9 | ||
|major seventh | | major seventh | ||
|- | |- | ||
|212 | | 212 | ||
|1106.1 | | 1106.1 | ||
|major seventh | | major seventh | ||
|- | |- | ||
|213 | | 213 | ||
|1111.3 | | 1111.3 | ||
|major seventh | | major seventh | ||
|- | |- | ||
|214 | | 214 | ||
|1116.5 | | 1116.5 | ||
|major seventh | | major seventh | ||
|- | |- | ||
|215 | | 215 | ||
|1121.7 | | 1121.7 | ||
|supermajor seventh | | supermajor seventh | ||
|- | |- | ||
|216 | | 216 | ||
|1127.0 | | 1127.0 | ||
|supermajor seventh | | supermajor seventh | ||
|- | |- | ||
|217 | | 217 | ||
|1132.2 | | 1132.2 | ||
|supermajor seventh | | supermajor seventh | ||
|- | |- | ||
|218 | | 218 | ||
|1137.4 | | 1137.4 | ||
|supermajor seventh | | supermajor seventh | ||
|- | |- | ||
|219 | | 219 | ||
|1142.6 | | 1142.6 | ||
|ultramajor seventh | | ultramajor seventh | ||
|- | |- | ||
|220 | | 220 | ||
|1147.8 | | 1147.8 | ||
|ultramajor seventh | | ultramajor seventh | ||
|- | |- | ||
|221 | | 221 | ||
|1153.0 | | 1153.0 | ||
|ultramajor seventh | | ultramajor seventh | ||
|- | |- | ||
|222 | | 222 | ||
|1158.3 | | 1158.3 | ||
|ultramajor seventh | | ultramajor seventh | ||
|- | |- | ||
|223 | | 223 | ||
|1163.5 | | 1163.5 | ||
|suboctave | | suboctave | ||
|- | |- | ||
|224 | | 224 | ||
|1168.7 | | 1168.7 | ||
|suboctave | | suboctave | ||
|- | |- | ||
|225 | | 225 | ||
|1173.9 | | 1173.9 | ||
|suboctave | | suboctave | ||
|- | |- | ||
|226 | | 226 | ||
|1179.1 | | 1179.1 | ||
|suboctave | | suboctave | ||
|- | |- | ||
|227 | | 227 | ||
|1184.3 | | 1184.3 | ||
|suboctave | | suboctave | ||
|- | |- | ||
|228 | | 228 | ||
|1189.6 | | 1189.6 | ||
|suboctave | | suboctave | ||
|- | |- | ||
|229 | | 229 | ||
|1194.8 | | 1194.8 | ||
|suboctave | | suboctave | ||
|- | |- | ||
|230 | | 230 | ||
|1200.0 | | 1200.0 | ||
|perfect octave | | perfect octave | ||
|} | |} | ||
{{Stub}} | {{Stub}} |
Latest revision as of 12:08, 21 February 2025
← 229edo | 230edo | 231edo → |
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
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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