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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox regtemp |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | Title = Sirius |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-16 20:28:15 UTC</tt>.<br>
| | | Subgroups = 3.5.7 |
| : The original revision id was <tt>595570878</tt>.<br>
| | | Comma basis = [[3125/3087]] |
| : The revision comment was: <tt></tt><br>
| | | Edo join 1 = b13 | Edo join 2 = b19 |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | | Mapping = 1; 3 5 |
| <h4>Original Wikitext content:</h4>
| | | Generators = 25/21 |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=<span style="font-size: 1.4em;">EDTs compatible with the Sirius triskaidecatonic scale</span>=
| | | Generators tuning = 293.759 |
| The Sirius MOS families of 6L+7s and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 pentad, and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" diatonic scale. Below is a list of the equal-temperaments which contain a 4L+5s scale using generators between 271.7 cents and 317.0 cents.
| | | Optimization method = CWE |
| | | MOS scales = [[1L 5s (3/1-equivalent)|1L 5s <3/1>]], [[6L 1s (3/1-equivalent)|6L 1s <3/1>]], [[6L 7s (3/1-equivalent)|6L 7s <3/1>]] |
| | | Color name = |
| | | Odd limit 1 = 3.5.7 7 | Mistuning 1 = 4.236 | Complexity 1 = 6 |
| | | Odd limit 2 = 3.5.7 49 | Mistuning 2 = 8.472 | Complexity 2 = 13 |
| | }} |
| | '''Sirius''' is a no-twos temperament which tempers out the gariboh comma, [[3125/3087]] (also known as major BP diesis). |
|
| |
|
| L=1 s=0 6 and 7 edt
| | See [[Gariboh clan #Sirius]] and [[No-twos subgroup temperaments #Sirius]] for technical data. |
| L=1 s=1 13 edt
| |
| L=2 s=1 19 (~12edo) and 20
| |
| L=3 s=1 25 and 27 (~17edo)
| |
| L=3 s=2 32 and 33 (~21edo)
| |
| L=4 s=1 31 and 34
| |
| L=4 s=3 45 and 46 (~29edo)
| |
| L=5 s=1 37 and 41
| |
| L=5 s=2 44 and 47
| |
| L=5 s=3 51 (~32edo) and 53
| |
| L=5 s=4 58 and 59 (~37edo)
| |
| L=6 s=1 43 (~27edo) and 48
| |
| L=6 s=5 71 and 72
| |
| L=7 s=1 49 (~31edo) and 55
| |
| L=7 s=2 56 and 61
| |
| L=7 s=3 63 (~40edo) and 67 (~42edo)
| |
| L=7 s=4 64 and 68 (~43edo)
| |
| L=7 s=5 77 and 79 (~50edo)
| |
| L=7 s=6 84 (~53edo) and 85
| |
| [For what it's worth, as 6edt and 7edt are comparable to 5edo and 7edo, then the "counterparts" of Blackwood and Whitewood would be found in multiples therein and would be dodecatonic and tetradecatonic, eg. 18edt and 21edt.] | |
|
| |
|
| ||||||||||||||~ Generator ||~ cents ||~ L ||~ s ||~ 2g ||~ 3g ||~ 4g ||~ notes ||
| | == EDTs compatible with the Sirius triskaidecatonic scale == |
| ||= 1/6 ||= ||= ||= ||= ||= ||= ||||= 316.99 ||= 0 ||= 633.985 ||= 950.98 ||= 1267.97 ||= ||
| | The Sirius [[MOS]] families of [[6L 7s]] and 6L 7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents. |
| ||= ||= ||= ||= ||= ||= ||= 8/49 ||= 310.52 ||= 271.71 ||= 38.815 ||= 621.05 ||= 931.57 ||= 1242.09 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 7/43 ||= ||= 309.62 ||= 265.389 ||= 44.23 ||= 619.24 ||= 928.86 ||= 1238.48 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 13/80 ||= 309.07 ||= 261.52 ||= 47.55 ||= 618.14 ||= 927.2 ||= 1236.27 ||= ||
| |
| ||= ||= ||= ||= ||= 6/37 ||= ||= ||= 308.425 ||= 257.02 ||= 51.4 ||= 616.85 ||= 925.275 ||= 1233.7 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 17/105 ||= 307.94 ||= 253.59 ||= 54.34 ||= 615.87 ||= 923.81 ||= 1231.74 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 11/68 ||= ||= 307.67 ||= 251.73 ||= 55.94 ||= 615.34 ||= 923.01 ||= 1230.68 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 16/99 ||= 307.39 ||= 249.75 ||= 57.635 ||= 614.77 ||= 922.16 ||= 1229.55 ||= ||
| |
| ||= ||= ||= ||= 5/31 ||= ||= ||= ||= 306.77 ||= 245.41 ||= 61.35 ||= 613.53 ||= 920.3 ||= 1227.07 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 19/118 ||= 306.25 ||= 241.77 ||= 64.47 ||= 612.49 ||= 918.74 ||= 1224.99 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 14/87 ||= ||= 306.06 ||= 240.47 ||= 65.585 ||= 612.12 ||= 918.19 ||= 1224.25 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 23/143 ||= 305.91 ||= 239.41 ||= 66.5 ||= 611.82 ||= 917.73 ||= 1223.64 ||= ||
| |
| ||= ||= ||= ||= ||= 9/56 ||= ||= ||= 305.67 ||= 237.74 ||= 67.93 ||= 611.34 ||= 917.01 ||= 1222.68 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 22/137 ||= 305.42 ||= <span style="font-family: Arial,Helvetica,sans-serif;">236.01</span> ||= <span style="font-size: small;">69.41</span> ||= 610.85 ||= 916.27 ||= 1221.69 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 13/81 ||= ||= 305.25 ||= 234.81 ||= 70.44 ||= 610.5 ||= 915.76 ||= 1221.01 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 17/106 ||= 305.03 ||= 233.26 ||= 71.77 ||= 610.06 ||= 915.09 ||= 1220.12 ||= ||
| |
| || || || || || || || ||= 304.73 ||= 231.15 ||= 73.58 ||= 609.46 ||= 914.19 ||= 1218.92 || ||
| |
| ||= ||= ||= 4/25 ||= ||= ||= ||= ||= <span style="font-family: Arial,Helvetica,sans-serif;">304.31</span> ||= <span style="font-family: Arial,Helvetica,sans-serif;">228.235</span> ||= <span style="font-family: Arial,Helvetica,sans-serif;">76.08</span> ||= <span style="font-family: Arial,Helvetica,sans-serif;">608.63</span> ||= <span style="font-family: Arial,Helvetica,sans-serif;">912.94</span> ||= <span style="font-family: Arial,Helvetica,sans-serif;">1217.25 </span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 19/119 ||= <span style="font-family: Arial,Helvetica,sans-serif;">303.67</span> ||= <span style="font-family: Arial,Helvetica,sans-serif;">223.76</span> ||= <span style="font-family: Arial,Helvetica,sans-serif;">79.91</span> ||= <span style="font-family: Arial,Helvetica,sans-serif;">607.35</span> ||= <span style="font-family: Arial,Helvetica,sans-serif;">911.02</span> ||= <span style="font-family: Arial,Helvetica,sans-serif;">1214.69</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= 15/94 ||= ||= 303.5 ||= 222.57 ||= 80.93 ||= 607.01 ||= 910.51 ||= 1214.01 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= ||= 303.39 ||= 221.8 ||= 81.595 ||= 606.79 ||= 910.18 ||= 1213.57 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 26/163 ||= 303.38 ||= 221.7 ||= 81.67 ||= 606.76 ||= 910.14 ||= 1213.52 ||= ||
| |
| ||= ||= ||= ||= ||= 11/69 ||= ||= ||= 303.21 ||= 220.52 ||= 82.69 ||= 606.42 ||= 909.63 ||= 1212.84 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 29/182 ||= 303.06 ||= 219.46 ||= 83.6 ||= 606.12 ||= 909.18 ||= 1212.84 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 18/113 ||= ||= 302.97 ||= 218.81 ||= 84.16 ||= 605.93 ||= 908.9 ||= 1211.86 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 25/157 ||= 302.86 ||= 218.06 ||= 84.8 ||= 605.72 ||= 908.58 ||= 1211.44 ||= ||
| |
| ||= ||= ||= ||= 7/44 ||= ||= ||= ||= 302.58 ||= 216.13 ||= 86.45 ||= 605.17 ||= 907.75 ||= 1210.34 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 24/151 ||= 302.3 ||= 214.13 ||= 88.17 ||= 604.59 ||= 906.89 ||= 1209.19 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 17/107 ||= ||= 302.18 ||= 213.3 ||= 88.88 ||= 604.36 ||= 906.54 ||= 1208.72 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 27/170 ||= 302.075 ||= 212.57 ||= 89.5 ||= 604.15 ||= 906.225 ||= 1208.3 ||= ||
| |
| ||= ||= ||= ||= ||= 10/63 ||= ||= ||= 301.898 ||= 211.33 ||= 90.57 ||= 603.8 ||= 905.69 ||= 1207.59 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 23/145 ||= 301.69 ||= 209.87 ||= 91.82 ||= 603.38 ||= 905.07 ||= 1207.76 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 13/82 ||= ||= 301.53 ||= 208.75 ||= 92.78 ||= 603.06 ||= 904.59 ||= 1206.12 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 16/101 ||= 301.3 ||= 207.14 ||= 94.16 ||= 602.6 ||= 903.9 ||= 1205.2 ||= ||
| |
| ||= ||= 3/19 ||= ||= ||= ||= ||= ||= 300.31 ||= 200.21 ||= 100.1 ||= 600.62 ||= 900.93 ||= 1201.235 ||= Boundary of propriety for major Sirius scale ||
| |
| ||= ||= ||= ||= ||= ||= ||= 17/108 ||= 299.38 ||= 193.72 ||= 105.66 ||= 598.76 ||= 898.15 ||= 1197.53 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 14/89 ||= ||= 299.18 ||= 192.33 ||= 106.85 ||= 598.37 ||= 897.55 ||= 1196.74 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 25/159 ||= 299.05 ||= 191.39 ||= 107.66 ||= 598.1 ||= 897.15 ||= 1196.2 ||= ||
| |
| ||= ||= ||= ||= ||= 11/70 ||= ||= ||= 298.88 ||= 190.2 ||= 108.68 ||= 597.76 ||= 896.64 ||= 1195.52 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 30/191 ||= 298.74 ||= 189.2 ||= 109.54 ||= 597.47 ||= 896.21 ||= 1194.94 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 19/121 ||= ||= 298.65 ||= 188.62 ||= 110.03 ||= 597.31 ||= 895.96 ||= 1194.62 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 27/172 ||= 298.56 ||= 187.98 ||= 110.58 ||= 597.13 ||= 895.69 ||= 1194.25 ||= ||
| |
| ||= ||= ||= ||= 8/51 ||= ||= ||= ||= 298.35 ||= 186.47 ||= 111.88 ||= 596.69 ||= 895.04 ||= 1193.38 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 29/185 ||= 298.14 ||= 185.055 ||= 113.09 ||= 596.29 ||= 894.43 ||= 1192.58 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 21/134 ||= ||= 298.07 ||= 184.52 ||= 113.55 ||= 596.14 ||= 894.2 ||= 1192.27 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 34/217 ||= 298 ||= 184.06 ||= 113.94 ||= 596 ||= 894.01 ||= 1192.01 ||= Golden major Sirius scale is near here ||
| |
| ||= ||= ||= ||= ||= 13/83 ||= ||= ||= 297.9 ||= 183.32 ||= 114.58 ||= 595.79 ||= 893.69 ||= 1191.59 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 31/198 ||= 297.78 ||= 182.51 ||= 115.27 ||= 595.56 ||= 893.34 ||= 1191.12 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 18/115 ||= ||= 297.7 ||= 181.93 ||= 115.71 ||= 595.39 ||= 893.09 ||= 1190.79 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 23/147 ||= 297.585 ||= 181.14 ||= 116.45 ||= 595.17 ||= 892.755 ||= 1190.34 ||= ||
| |
| ||= ||= ||= 5/32 ||= ||= ||= ||= ||= 297.18 ||= 178.31 ||= 118.87 ||= 594.36 ||= 891.54 ||= 1188.72 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 22/141 ||= 296.76 ||= 175.36 ||= 121.4 ||= 593.52 ||= 890.28 ||= 1187.04 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 17/109 ||= ||= 296.635 ||= 174.49 ||= 122.14 ||= 593.27 ||= 889.905 ||= 1186.54 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 29/186 ||= 296.54 ||= 173.835 ||= 122.71 ||= 593.08 ||= 889.62 ||= 1186.16 ||= ||
| |
| ||= ||= ||= ||= ||= 12/77 ||= ||= ||= 296.41 ||= 172.905 ||= 123.5 ||= 592.82 ||= 889.23 ||= 1185.64 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 31/199 ||= 296.28 ||= 172.04 ||= 124.25 ||= 592.57 ||= 888.85 ||= 1185.14 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 19/122 ||= ||= 296.21 ||= 171.49 ||= 124.718 ||= 592.41 ||= 888.62 ||= 1184.82 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 26/167 ||= 296.11 ||= 170.83 ||= 125.28 ||= 592.23 ||= 888.34 ||= 1184.45 ||= ||
| |
| ||= ||= ||= ||= 7/45 ||= ||= ||= ||= 295.86 ||= 169.06 ||= 126.8 ||= 591.72 ||= 887.57 ||= 1183.44 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 23/148 ||= 295.57 ||= 167.06 ||= 128.51 ||= 591.15 ||= 886.72 ||= 1182.3 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 16/103 ||= ||= 295.45 ||= 166.19 ||= 129.26 ||= 590.9 ||= 886.35 ||= 1181.8 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 25/161 ||= 295.335 ||= 165.39 ||= 129.95 ||= 590.67 ||= 896.005 ||= 1181.34 ||= ||
| |
| ||= ||= ||= ||= ||= 9/58 ||= ||= ||= 295.13 ||= 163.96 ||= 131.17 ||= 590.26 ||= 885.39 ||= 1180.52 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 20/129 ||= 294.88 ||= 162.18 ||= 132.695 ||= 589.75 ||= 884.63 ||= 1179.51 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 11/71 ||= ||= 294.67 ||= 160.73 ||= 133.94 ||= 589.34 ||= 884.01 ||= 1178.68 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 13/84 ||= 294.35 ||= 158.5 ||= 135.85 ||= 588.7 ||= 883.05 ||= 1177.4 ||= ||
| |
| ||= 2/13 ||= ||= ||= ||= ||= ||= ||= 292.61 ||||= 146.3 ||= 585.22 ||= 877.825 ||= 1170.43 ||= Separatrix of major and minor Sirius scales ||
| |
| ||= ||= ||= ||= ||= ||= ||= 13/85 ||= 290.89 ||= 156.63 ||= 134.26 ||= 581.77 ||= 872.66 ||= 1163.55 ||= ||
| |
| ||= ||= ||= ||= ||= ||= 11/72 ||= ||= 290.58 ||= 158.5 ||= 132.08 ||= 581.15 ||= 871.73 ||= 1162.3 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">20/131
| |
| </span> ||= <span style="display: block; text-align: center;">290.375
| |
| </span> ||= <span style="display: block; text-align: center;">159.71
| |
| </span> ||= <span style="display: block; text-align: center;">132.695
| |
| </span> ||= 580.75 ||= 871.125 ||= 1161.5 ||= ||
| |
| ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">9/59
| |
| </span> ||= ||= ||= <span style="display: block; text-align: center;">290.13
| |
| </span> ||= <span style="display: block; text-align: center;">161.18
| |
| </span> ||= <span style="display: block; text-align: center;">128.95
| |
| </span> ||= 580.26 ||= 870.38 ||= 1160.52 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">25/164
| |
| </span> ||= <span style="display: block; text-align: center;">289.93
| |
| </span> ||= <span style="display: block; text-align: center;">162.36
| |
| </span> ||= <span style="display: block; text-align: center;">127.57
| |
| </span> ||= 579.86 ||= 869.8 ||= 1159.73 ||= ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">16/105
| |
| </span> ||= ||= <span style="display: block; text-align: center;">289.82
| |
| </span> ||= <span style="display: block; text-align: center;">163.025
| |
| </span> ||= <span style="display: block; text-align: center;">126.8
| |
| </span> ||= 579.66 ||= 869.47 ||= 1159.29 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">23/151
| |
| </span> ||= <span style="display: block; text-align: center;">289.7
| |
| </span> ||= <span style="display: block; text-align: center;">163.74
| |
| </span> ||= <span style="display: block; text-align: center;">125.96
| |
| </span> ||= 579.4 ||= 869.11 ||= 1158.81 ||= ||
| |
| ||= ||= ||= ||= <span style="display: block; text-align: center;">7/46
| |
| </span> ||= ||= ||= ||= <span style="display: block; text-align: center;">289.43
| |
| </span> ||= <span style="display: block; text-align: center;">165.39
| |
| </span> ||= <span style="display: block; text-align: center;">124.04
| |
| </span> ||= 578.86 ||= 868.28 ||= 1157.71 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">26/171
| |
| </span> ||= <span style="display: block; text-align: center;">289.19
| |
| </span> ||= <span style="display: block; text-align: center;">166.84
| |
| </span> ||= <span style="display: block; text-align: center;">122.74
| |
| </span> ||= 578.37 ||= 867.56 ||= 1156.74 ||= ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">19/125
| |
| </span> ||= ||= <span style="display: block; text-align: center;">289.1
| |
| </span> ||= <span style="display: block; text-align: center;">167.37
| |
| </span> ||= <span style="display: block; text-align: center;">121.725
| |
| </span> ||= 578.19 ||= 867.29 ||= 1156.39 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">31/204
| |
| </span> ||= <span style="display: block; text-align: center;">289.02
| |
| </span> ||= <span style="display: block; text-align: center;">167.82
| |
| </span> ||= <span style="display: block; text-align: center;">121.2
| |
| </span> ||= 578.05 ||= 067.07 ||= 1156.092 ||= ||
| |
| ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">12/79
| |
| </span> ||= ||= ||= <span style="display: block; text-align: center;">288.905
| |
| </span> ||= <span style="display: block; text-align: center;">168.53
| |
| </span> ||= <span style="display: block; text-align: center;">120.38
| |
| </span> ||= 577.81 ||= 866.715 ||= 1155.62 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= 29/191 ||= 288.78 ||= 169.28 ||= 119.495 ||= 577.56 ||= 866.34 ||= 1155.12 ||= ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">17/112
| |
| </span> ||= ||= <span style="display: block; text-align: center;">288.69
| |
| </span> ||= <span style="display: block; text-align: center;">169.82
| |
| </span> ||= <span style="display: block; text-align: center;">118.87
| |
| </span> ||= 577.38 ||= 866.07 ||= 1154.76 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">22/145
| |
| </span> ||= <span style="display: block; text-align: center;">288.57
| |
| </span> ||= <span style="display: block; text-align: center;">170.52
| |
| </span> ||= <span style="display: block; text-align: center;">118.05
| |
| </span> ||= 577.14 ||= 865.72 ||= 1154.29 ||= ||
| |
| ||= ||= ||= 5/33 ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">288.175
| |
| </span> ||= <span style="display: block; text-align: center;">172.905
| |
| </span> ||= <span style="display: block; text-align: center;">115.27
| |
| </span> ||= 576.35 ||= 864.525 ||= 1152.7 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">23/152
| |
| </span> ||= <span style="display: block; text-align: center;">287.8
| |
| </span> ||= <span style="display: block; text-align: center;">175.18
| |
| </span> ||= <span style="display: block; text-align: center;">112.62
| |
| </span> ||= 575.59 ||= 863.39 ||= 1151.18 ||= ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">18/119
| |
| </span> ||= ||= <span style="display: block; text-align: center;">287.69
| |
| </span> ||= <span style="display: block; text-align: center;">175.81
| |
| </span> ||= <span style="display: block; text-align: center;">111.88
| |
| </span> ||= 575.38 ||= 863.07 ||= 1150.76 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">31/205
| |
| </span> ||= <span style="display: block; text-align: center;">287.61
| |
| </span> ||= <span style="display: block; text-align: center;">176.28
| |
| </span> ||= <span style="display: block; text-align: center;">111.33
| |
| </span> ||= 575.23 ||= 862.84 ||= 1150.54 ||= ||
| |
| ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">13/86</span> ||= ||= ||= <span style="display: block; text-align: center;">287.505</span> ||= <span style="display: block; text-align: center;">176.93</span> ||= <span style="display: block; text-align: center;">110.58</span> ||= 575.01 ||= 862.515 ||= 1150.02 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">34/225</span> ||= <span style="display: block; text-align: center;">287.41</span> ||= <span style="display: block; text-align: center;">177.52</span> ||= <span style="display: block; text-align: center;">109.89</span> ||= 574.81 ||= 862.22 ||= 1149.63 ||= Golden minor Sirius scale is near here ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">21/139</span> ||= ||= <span style="display: block; text-align: center;">287.35</span> ||= <span style="display: block; text-align: center;">177.88</span> ||= <span style="display: block; text-align: center;">109.465</span> ||= 574.69 ||= 862.02 ||= 1149.38 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">29/192</span> ||= <span style="display: block; text-align: center;">287.27</span> ||= <span style="display: block; text-align: center;">178.31</span> ||= <span style="display: block; text-align: center;">108.97</span> ||= 574.55 ||= 861.82 ||= 1149.1 ||= ||
| |
| ||= ||= ||= ||= <span style="display: block; text-align: center;">8/53</span> ||= ||= ||= ||= <span style="display: block; text-align: center;">287.09</span> ||= <span style="display: block; text-align: center;">179.43</span> ||= <span style="display: block; text-align: center;">107.66</span> ||= 574.18 ||= 861.26 ||= 1148.35 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">27/179</span> ||= <span style="display: block; text-align: center;">286.88</span> ||= <span style="display: block; text-align: center;">180.63</span> ||= <span style="display: block; text-align: center;">106.25</span> ||= 573.77 ||= 860.66 ||= 1147.55 ||= ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">19/126</span> ||= ||= <span style="display: block; text-align: center;">286.8</span> ||= <span style="display: block; text-align: center;">181.14</span> ||= <span style="display: block; text-align: center;">105.66</span> ||= 573.61 ||= 860.41 ||= 1147.21 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">30/199</span> ||= <span style="display: block; text-align: center;">286.73</span> ||= <span style="display: block; text-align: center;">181.59</span> ||= <span style="display: block; text-align: center;">105.13</span> ||= 573.45 ||= 860.18 ||= 1146.91 ||= ||
| |
| ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">11/73</span> ||= ||= ||= <span style="display: block; text-align: center;">286.6</span> ||= <span style="display: block; text-align: center;">182.38</span> ||= <span style="display: block; text-align: center;">104.22</span> ||= 573.19 ||= 859.79 ||= 1146.38 ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">25/166</span> ||= <span style="display: block; text-align: center;">286.44</span> ||= <span style="display: block; text-align: center;">183.32</span> ||= <span style="display: block; text-align: center;">103.12</span> ||= 572.88 ||= 859.32 ||= 1145.76 ||= ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">14/93</span> ||= ||= <span style="display: block; text-align: center;"><span style="text-align: -webkit-right;">286.32</span></span> ||= <span style="display: block; text-align: center;"><span style="text-align: -webkit-right;">184.06</span></span> ||= <span style="display: block; text-align: center;"><span style="text-align: -webkit-right;">102.26</span></span> ||= <span style="text-align: -webkit-right;">572.63</span> ||= <span style="text-align: -webkit-right;">858.95</span> ||= <span style="text-align: -webkit-right;">1145.26</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">17/113</span> ||= <span style="display: block; text-align: center;"><span style="text-align: -webkit-right;">286.135</span></span> ||= <span style="display: block; text-align: center;"><span style="text-align: -webkit-right;">185.15</span></span> ||= <span style="display: block; text-align: center;"><span style="text-align: -webkit-right;">100.99</span></span> ||= <span style="text-align: -webkit-right;">572.27</span> ||= <span style="text-align: -webkit-right;">858.405</span> ||= <span style="text-align: -webkit-right;">1144.54</span> ||= ||
| |
| ||= ||= <span style="display: block; text-align: center;">3/20</span> ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">285.29</span> ||= <span style="display: block; text-align: center;">190.2</span> ||= <span style="display: block; text-align: center;">95.1</span> ||= 570.59 ||= 855.88 ||= 1141.17 ||= <span style="display: block; text-align: center;">Boundary of propriety for minor Sirius scale</span> ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">16/107</span> ||= <span style="text-align: -webkit-right;">284.4</span> ||= <span style="text-align: -webkit-right;">195.52</span> ||= <span style="text-align: -webkit-right;">88.88</span> ||= <span style="text-align: -webkit-right;">568.81</span> ||= <span style="text-align: -webkit-right;">853.21</span> ||= <span style="text-align: -webkit-right;">1137.6</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">13/87</span> ||= ||= <span style="text-align: -webkit-right;">284.2</span> ||= <span style="text-align: -webkit-right;">196.75</span> ||= <span style="text-align: -webkit-right;">87.45</span> ||= <span style="text-align: -webkit-right;">568.4</span> ||= <span style="text-align: -webkit-right;">852.6</span> ||= <span style="text-align: -webkit-right;">1136.8</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">23/154</span> ||= <span style="text-align: -webkit-right;">284.06</span> ||= <span style="text-align: -webkit-right;">197.61</span> ||= <span style="text-align: -webkit-right;">86.45</span> ||= <span style="text-align: -webkit-right;">568.12</span> ||= <span style="text-align: -webkit-right;">852.17</span> ||= <span style="text-align: -webkit-right;">1136.23</span> ||= ||
| |
| ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">10/67</span> ||= ||= ||= <span style="text-align: -webkit-right;">283.87</span> ||= <span style="text-align: -webkit-right;">198.71</span> ||= <span style="text-align: -webkit-right;">85.16</span> ||= <span style="text-align: -webkit-right;">567.75</span> ||= <span style="text-align: -webkit-right;">851.62</span> ||= <span style="text-align: -webkit-right;">1135.5</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">27/181</span> ||= <span style="text-align: -webkit-right;">283.72</span> ||= <span style="text-align: -webkit-right;">199.65</span> ||= <span style="display: block; text-align: center;">84.06</span> ||= <span style="text-align: -webkit-right;">567.43</span> ||= <span style="text-align: -webkit-right;">851.15</span> ||= <span style="text-align: -webkit-right;">1134.87</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">17/114</span> ||= ||= <span style="text-align: -webkit-right;">283.625</span> ||= <span style="text-align: -webkit-right;">200.21</span> ||= <span style="display: block; text-align: center;"><span style="text-align: -webkit-right;">83.42</span></span> ||= <span style="text-align: -webkit-right;">567.25</span> ||= <span style="text-align: -webkit-right;">850.875</span> ||= <span style="text-align: -webkit-right;">1134.5</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">24/161</span> ||= <span style="text-align: -webkit-right;">283.52</span> ||= <span style="text-align: -webkit-right;">200.83</span> ||= <span style="text-align: -webkit-right;">82.69</span> ||= <span style="text-align: -webkit-right;">567.04</span> ||= <span style="text-align: -webkit-right;">850.56</span> ||= <span style="text-align: -webkit-right;">1134.08</span> ||= ||
| |
| ||= ||= ||= ||= <span style="display: block; text-align: center;">7/47</span> ||= ||= ||= ||= <span style="text-align: -webkit-right;">283.27</span> ||= <span style="text-align: -webkit-right;">202.34</span> ||= <span style="text-align: -webkit-right;">80.93</span> ||= <span style="text-align: -webkit-right;">566.54</span> ||= <span style="text-align: -webkit-right;">849.81</span> ||= <span style="text-align: -webkit-right;">1133.08</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">25/168</span> ||= <span style="text-align: -webkit-right;">283.03</span> ||= <span style="text-align: -webkit-right;">203.78</span> ||= <span style="text-align: -webkit-right;">79.25</span> ||= <span style="text-align: -webkit-right;">566.06</span> ||= <span style="text-align: -webkit-right;">849.09</span> ||= <span style="text-align: -webkit-right;">1132.12</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">18/121</span> ||= ||= <span style="text-align: -webkit-right;">282.935</span> ||= <span style="text-align: -webkit-right;">204.34</span> ||= <span style="text-align: -webkit-right;">78.59</span> ||= <span style="text-align: -webkit-right;">565.87</span> ||= <span style="text-align: -webkit-right;">848.805</span> ||= <span style="text-align: -webkit-right;">1131.74</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">29/195</span> ||= <span style="text-align: -webkit-right;">282.855</span> ||= <span style="text-align: -webkit-right;">204.83</span> ||= <span style="text-align: -webkit-right;">78.03</span> ||= <span style="text-align: -webkit-right;">565.71</span> ||= <span style="text-align: -webkit-right;">848.565</span> ||= <span style="text-align: -webkit-right;">1131.42</span> ||= ||
| |
| ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">11/74</span> ||= ||= ||= <span style="text-align: -webkit-right;">282.72</span> ||= <span style="text-align: -webkit-right;">205.62</span> ||= <span style="text-align: -webkit-right;">77.11</span> ||= <span style="text-align: -webkit-right;">565.45</span> ||= <span style="text-align: -webkit-right;">848.17</span> ||= <span style="text-align: -webkit-right;">1130.89</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">26/175</span> ||= <span style="text-align: -webkit-right;">282.58</span> ||= <span style="text-align: -webkit-right;">206.5</span> ||= <span style="text-align: -webkit-right;">76.08</span> ||= <span style="text-align: -webkit-right;">565.15</span> ||= <span style="text-align: -webkit-right;">847.73</span> ||= <span style="text-align: -webkit-right;">1130.3</span> ||= ||
| |
| || || || || || || || ||= 282.56 ||= 206.57 ||= 75.99 ||= 565.13 ||= 847.69 ||= 1130.26 || ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">15/101</span> ||= ||= <span style="text-align: -webkit-right;">282.47</span> ||= <span style="text-align: -webkit-right;">207.14</span> ||= <span style="text-align: -webkit-right;">75.325</span> ||= 564.94 ||= <span style="text-align: -webkit-right;">847.41</span> ||= <span style="text-align: -webkit-right;">1129.88</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">19/128</span> ||= <span style="text-align: -webkit-right;">282.32</span> ||= <span style="text-align: -webkit-right;">208.03</span> ||= <span style="text-align: -webkit-right;">74.295</span> ||= <span style="text-align: -webkit-right;">564.64</span> ||= <span style="text-align: -webkit-right;">846.96</span> ||= <span style="text-align: -webkit-right;">1129.28</span> ||= ||
| |
| ||= ||= ||= 4/27 ||= ||= ||= ||= ||= <span style="text-align: -webkit-right;">281.77</span> ||= <span style="text-align: -webkit-right;">211.33</span> ||= <span style="text-align: -webkit-right;">70.44</span> ||= <span style="text-align: -webkit-right;">563.54</span> ||= <span style="text-align: -webkit-right;">845.31</span> ||= <span style="text-align: -webkit-right;">1127.08</span> ||= ||
| |
| || || || || || || || ||= 281.415 ||= 213.47 ||= 67.95 ||= 562.83 ||= 844.24 ||= 1125.66 || ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">17/115</span> ||= <span style="text-align: -webkit-right;">281.16</span> ||= <span style="text-align: -webkit-right;">215</span> ||= <span style="text-align: -webkit-right;">66.155</span> ||= <span style="text-align: -webkit-right;">562.32</span> ||= <span style="text-align: -webkit-right;">843.48</span> ||= <span style="text-align: -webkit-right;">1124.64</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">13/88</span> ||= ||= <span style="text-align: -webkit-right;">280.97</span> ||= <span style="text-align: -webkit-right;">216.13</span> ||= <span style="text-align: -webkit-right;">64.84</span> ||= <span style="text-align: -webkit-right;">561.94</span> ||= <span style="text-align: -webkit-right;">842.91</span> ||= <span style="text-align: -webkit-right;">1123.88</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">22/149</span> ||= <span style="text-align: -webkit-right;">280.83</span> ||= <span style="text-align: -webkit-right;">217</span> ||= <span style="text-align: -webkit-right;">63.82</span> ||= <span style="text-align: -webkit-right;">561.65</span> ||= <span style="text-align: -webkit-right;">842.48</span> ||= <span style="text-align: -webkit-right;">1123.3</span> ||= ||
| |
| ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">9/61</span> ||= ||= ||= <span style="text-align: -webkit-right;">280.62</span> ||= <span style="text-align: -webkit-right;">218.26</span> ||= <span style="text-align: -webkit-right;">62.36</span> ||= <span style="text-align: -webkit-right;">561.23</span> ||= <span style="text-align: -webkit-right;">841.85</span> ||= <span style="text-align: -webkit-right;">1122.46</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">23/156</span> ||= <span style="text-align: -webkit-right;">280.42</span> ||= <span style="text-align: -webkit-right;">219.46</span> ||= <span style="text-align: -webkit-right;">60.96</span> ||= <span style="text-align: -webkit-right;">560.83</span> ||= <span style="text-align: -webkit-right;">841.25</span> ||= <span style="text-align: -webkit-right;">1121.66</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">14/95</span> ||= ||= <span style="text-align: -webkit-right;">280.29</span> ||= <span style="text-align: -webkit-right;">220.23</span> ||= <span style="display: block; text-align: center;"><span style="text-align: -webkit-right;">60.06</span></span> ||= <span style="text-align: -webkit-right;">560.58</span> ||= <span style="text-align: -webkit-right;">840.86</span> ||= <span style="text-align: -webkit-right;">1121.15</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">19/129</span> ||= <span style="text-align: -webkit-right;">280.13</span> ||= <span style="text-align: -webkit-right;">221.16</span> ||= <span style="text-align: -webkit-right;">58.975</span> ||= <span style="text-align: -webkit-right;">560.27</span> ||= <span style="text-align: -webkit-right;">840.4</span> ||= <span style="text-align: -webkit-right;">1120.53</span> ||= ||
| |
| ||= ||= ||= ||= <span style="display: block; text-align: center;">5/34</span> ||= ||= ||= ||= <span style="text-align: -webkit-right;">279.7</span> ||= <span style="text-align: -webkit-right;">223.76</span> ||= <span style="text-align: -webkit-right;">55.94</span> ||= <span style="text-align: -webkit-right;">559.4</span> ||= <span style="text-align: -webkit-right;">839.1</span> ||= <span style="text-align: -webkit-right;">1118.8</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">16/109</span> ||= <span style="text-align: -webkit-right;">279.19</span> ||= <span style="text-align: -webkit-right;">226.84</span> ||= <span style="text-align: -webkit-right;">52.35</span> ||= <span style="text-align: -webkit-right;">558.37</span> ||= <span style="text-align: -webkit-right;">837.56</span> ||= <span style="text-align: -webkit-right;">1116.74</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">11/75</span> ||= ||= <span style="text-align: -webkit-right;">278.95</span> ||= <span style="text-align: -webkit-right;">228.235</span> ||= <span style="text-align: -webkit-right;">50.72</span> ||= <span style="text-align: -webkit-right;">557.91</span> ||= <span style="text-align: -webkit-right;">836.86</span> ||= <span style="text-align: -webkit-right;">1115.81</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">17/116</span> ||= <span style="text-align: -webkit-right;">278.735</span> ||= <span style="text-align: -webkit-right;">229.55</span> ||= <span style="text-align: -webkit-right;">49.19</span> ||= <span style="text-align: -webkit-right;">557.47</span> ||= <span style="text-align: -webkit-right;">836.205</span> ||= <span style="text-align: -webkit-right;">1114.94</span> ||= ||
| |
| ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">6/41</span> ||= ||= ||= <span style="text-align: -webkit-right;">278.335</span> ||= <span style="text-align: -webkit-right;">231.95</span> ||= <span style="text-align: -webkit-right;">46.39</span> ||= <span style="text-align: -webkit-right;">556.67</span> ||= <span style="text-align: -webkit-right;">835.005</span> ||= <span style="text-align: -webkit-right;">1113.34</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">13/89</span> ||= <span style="text-align: -webkit-right;">277.81</span> ||= <span style="text-align: -webkit-right;">235.07</span> ||= <span style="text-align: -webkit-right;">42.74</span> ||= <span style="text-align: -webkit-right;">555.63</span> ||= <span style="text-align: -webkit-right;">833.44</span> ||= <span style="text-align: -webkit-right;">1111.26</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= 7/48 ||= ||= <span style="text-align: -webkit-right;">277.37</span> ||= <span style="text-align: -webkit-right;">237.74</span> ||= <span style="text-align: -webkit-right;">39.62</span> ||= <span style="text-align: -webkit-right;">554.74</span> ||= <span style="text-align: -webkit-right;">832.1</span> ||= <span style="text-align: -webkit-right;">1109.47</span> ||= ||
| |
| ||= ||= ||= ||= ||= ||= ||= <span style="display: block; text-align: center;">8/55</span> ||= <span style="text-align: -webkit-right;">276.65</span> ||= <span style="text-align: -webkit-right;">242.07</span> ||= <span style="text-align: -webkit-right;">34.58</span> ||= <span style="text-align: -webkit-right;">553.3</span> ||= <span style="text-align: -webkit-right;">829.94</span> ||= <span style="text-align: -webkit-right;">1106.59</span> ||= ||
| |
| ||= <span style="display: block; text-align: center;">1/7</span> ||= ||= ||= ||= ||= ||= ||||= <span style="display: block; text-align: center;">271,71</span> ||= 0 ||= 543.42 ||= 815.12 ||= 1086.83 ||= ||
| |
|
| |
|
| <span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 2126px; width: 1px;">
| | * L=1 s=0 [[6edt|6]] and [[7edt|7]] edt |
| || <span style="font-family: Calibri;">236.009</span> ||
| | * L=1 s=1 [[13edt|13 edt]] |
| </span></pre></div>
| | * L=2 s=1 [[19edt|19]] (~[[12edo]]) and [[20edt|20]] |
| <h4>Original HTML content:</h4>
| | * L=3 s=1 [[25edt|25]] and [[27edt|27]] (~[[17edo]]) |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Sirius</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="EDTs compatible with the Sirius triskaidecatonic scale"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="font-size: 1.4em;">EDTs compatible with the Sirius triskaidecatonic scale</span></h1>
| | * L=3 s=2 [[32edt|32]] and [[33edt|33]] (~[[21edo]]) |
| The Sirius MOS families of 6L+7s and 6L+7s are good scales to know for representing &quot;ordinary&quot; diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an &quot;ordinary&quot; dim7dim9 pentad, and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an &quot;ordinary&quot; diatonic scale. Below is a list of the equal-temperaments which contain a 4L+5s scale using generators between 271.7 cents and 317.0 cents.<br />
| | * L=4 s=1 [[31edt|31]] and [[34edt|34]] |
| <br />
| | * L=4 s=3 [[45edt|45]] and [[46edt|46]] (~[[29edo]]) |
| L=1 s=0 6 and 7 edt<br /> | | * L=5 s=1 [[37edt|37]] and [[41edt|41]] |
| L=1 s=1 13 edt<br /> | | * L=5 s=2 [[44edt|44]] and [[47edt|47]] |
| L=2 s=1 19 (~12edo) and 20<br /> | | * L=5 s=3 [[51edt|51]] (~[[32edo]]) and [[53edt|53]] |
| L=3 s=1 25 and 27 (~17edo)<br /> | | * L=5 s=4 [[58edt|58]] and [[59edt|59]] (~[[37edo]]) |
| L=3 s=2 32 and 33 (~21edo)<br /> | | * L=6 s=1 [[43edt|43]] (~[[27edo]]) and [[48edt|48]] |
| L=4 s=1 31 and 34<br /> | | * L=6 s=5 [[71edt|71]] and [[72edt|72]] |
| L=4 s=3 45 and 46 (~29edo)<br /> | | * L=7 s=1 [[49edt|49]] (~[[31edo]]) and [[55edt|55]] |
| L=5 s=1 37 and 41<br /> | | * L=7 s=2 [[56edt|56]] and [[61edt|61]] |
| L=5 s=2 44 and 47<br /> | | * L=7 s=3 [[63edt|63]] (~[[40edo]]) and [[67edt|67]] (~[[42edo]]) |
| L=5 s=3 51 (~32edo) and 53<br /> | | * L=7 s=4 [[64edt|64]] and [[68edt|68]] (~[[43edo]]) |
| L=5 s=4 58 and 59 (~37edo)<br /> | | * L=7 s=5 [[77edt|77]] and [[79edt|79]] (~[[50edo]]) |
| L=6 s=1 43 (~27edo) and 48<br /> | | * L=7 s=6 [[84edt|84]] (~[[53edo]]) and [[85edt|85]] |
| L=6 s=5 71 and 72<br /> | |
| L=7 s=1 49 (~31edo) and 55<br /> | |
| L=7 s=2 56 and 61<br /> | |
| L=7 s=3 63 (~40edo) and 67 (~42edo)<br /> | |
| L=7 s=4 64 and 68 (~43edo)<br /> | |
| L=7 s=5 77 and 79 (~50edo)<br /> | |
| L=7 s=6 84 (~53edo) and 85<br /> | |
| [For what it's worth, as 6edt and 7edt are comparable to 5edo and 7edo, then the &quot;counterparts&quot; of Blackwood and Whitewood would be found in multiples therein and would be dodecatonic and tetradecatonic, eg. 18edt and 21edt.]<br />
| |
| <br />
| |
|
| |
|
| | [For what it's worth, as [[6edt]] and [[7edt]] are comparable to [[5edo]] and [[7edo]], then the "counterparts" of [[Blackwood]] and [[Whitewood]] would be found in multiples therein and would be [[Category:12-tone scales|dodecatonic]] and [[Category:14-tone scales|tetradecatonic]], eg. [[18edt]] and [[21edt]].] |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" style="text-align:center;" |
| <tr>
| | |- |
| <th colspan="7">Generator<br />
| | ! colspan="7" | Generator |
| </th>
| | ! Cents <br>Hekts |
| <th>cents<br />
| | ! L |
| </th>
| | ! s |
| <th>L<br />
| | ! 2g |
| </th>
| | ! 3g |
| <th>s<br />
| | ! 4g |
| </th>
| | ! notes |
| <th>2g<br />
| | |- |
| </th>
| | | 1/6 |
| <th>3g<br />
| | | |
| </th>
| | | |
| <th>4g<br />
| | | |
| </th>
| | | |
| <th>notes<br />
| | | |
| </th>
| | | |
| </tr>
| | | colspan="2" | 316.99 <br>216.67 |
| <tr>
| | | 0 |
| <td style="text-align: center;">1/6<br />
| | | 633.985 <br>433.33 |
| </td>
| | | 950.98 <br>650 |
| <td style="text-align: center;"><br />
| | | 1267.97 <br>866.67 |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | |- |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | 8/49 |
| <td style="text-align: center;"><br />
| | | 310.52<br />212.245 |
| </td>
| | | 271.71<br />185.71 |
| <td colspan="2" style="text-align: center;">316.99<br />
| | | 38.815<br />26.53 |
| </td>
| | | 621.05<br />424.49 |
| <td style="text-align: center;">0<br />
| | | 931.57<br />636.735 |
| </td>
| | | 1242.09<br />848.98 |
| <td style="text-align: center;">633.985<br />
| | | |
| </td>
| | |- |
| <td style="text-align: center;">950.98<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;">1267.97<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | 7/43 |
| </tr>
| | | |
| <tr>
| | | 309.62<br />211.63 |
| <td style="text-align: center;"><br />
| | | 265.39<br />181.395 |
| </td>
| | | 44.23<br />30.23 |
| <td style="text-align: center;"><br />
| | | 619.24<br />423.26 |
| </td>
| | | 928.86<br />634.88 |
| <td style="text-align: center;"><br />
| | | 1238.48<br />846.51 |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | |- |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | |
| <td style="text-align: center;">8/49<br />
| | | |
| </td>
| | | 13/80 |
| <td style="text-align: center;">310.52<br />
| | | 309.07<br />211.25 |
| </td>
| | | 261.52<br />178.75 |
| <td style="text-align: center;">271.71<br />
| | | 47.55<br />32.5 |
| </td>
| | | 618.14<br />422.5 |
| <td style="text-align: center;">38.815<br />
| | | 927.2<br />633.75 |
| </td>
| | | 1236.27<br />845 |
| <td style="text-align: center;">621.05<br />
| | | |
| </td>
| | |- |
| <td style="text-align: center;">931.57<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;">1242.09<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | 6/37 |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | | 308.425<br />210.81 |
| <td style="text-align: center;"><br />
| | | 257.02<br />175.68 |
| </td>
| | | 51.4<br />35.135 |
| <td style="text-align: center;"><br />
| | | 616.85<br />421.62 |
| </td>
| | | 925.275<br />632.43 |
| <td style="text-align: center;"><br />
| | | 1233.7<br />843.24 |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | |- |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | |
| <td style="text-align: center;">7/43<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | 17/105 |
| <td style="text-align: center;">309.62<br />
| | | 307.94<br />210.48 |
| </td>
| | | 253.59<br />173.33 |
| <td style="text-align: center;">265.389<br />
| | | 54.34<br />37.14 |
| </td>
| | | 615.87<br />420.95 |
| <td style="text-align: center;">44.23<br />
| | | 923.81<br />631.43 |
| </td>
| | | 1231.74<br />841.905 |
| <td style="text-align: center;">619.24<br />
| | | |
| </td>
| | |- |
| <td style="text-align: center;">928.86<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;">1238.48<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | 11/68 |
| </tr>
| | | |
| <tr>
| | | 307.67<br />210.29 |
| <td style="text-align: center;"><br />
| | | 251.73<br />172.06 |
| </td>
| | | 55.94<br />38.235 |
| <td style="text-align: center;"><br />
| | | 615.34<br />420.59 |
| </td>
| | | 923.01<br />630.88 |
| <td style="text-align: center;"><br />
| | | 1230.68<br />841.18 |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | |- |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | |
| <td style="text-align: center;">13/80<br />
| | | |
| </td>
| | | 16/99 |
| <td style="text-align: center;">309.07<br />
| | | 307.39<br />210.1 |
| </td>
| | | 249.75<br />170.71 |
| <td style="text-align: center;">261.52<br />
| | | 57.635<br />39.39 |
| </td>
| | | 614.77<br />420.2 |
| <td style="text-align: center;">47.55<br />
| | | 922.16<br />630.3 |
| </td>
| | | 1229.55<br />840.4 |
| <td style="text-align: center;">618.14<br />
| | | |
| </td>
| | |- |
| <td style="text-align: center;">927.2<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;">1236.27<br />
| | | |
| </td>
| | | 5/31 |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | | 306.77<br />209.68 |
| <td style="text-align: center;"><br />
| | | 245.41<br />167.74 |
| </td>
| | | 61.35<br />41.935 |
| <td style="text-align: center;"><br />
| | | 613.53<br />419.355 |
| </td>
| | | 920.3<br />629.03 |
| <td style="text-align: center;"><br />
| | | 1227.07<br />838.71 |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | |- |
| </td>
| | | |
| <td style="text-align: center;">6/37<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | 19/118 |
| <td style="text-align: center;">308.425<br />
| | | 306.25<br />209.32 |
| </td>
| | | 241.77<br />165.25 |
| <td style="text-align: center;">257.02<br />
| | | 64.47<br />44.07 |
| </td>
| | | 612.49<br />418.64 |
| <td style="text-align: center;">51.4<br />
| | | 918.74<br />627.97 |
| </td>
| | | 1224.99<br />837.29 |
| <td style="text-align: center;">616.85<br />
| | | |
| </td>
| | |- |
| <td style="text-align: center;">925.275<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;">1233.7<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | 14/87 |
| </tr>
| | | |
| <tr>
| | | 306.06<br />209.195 |
| <td style="text-align: center;"><br />
| | | 240.47<br />164.37 |
| </td>
| | | 65.585<br />44.83 |
| <td style="text-align: center;"><br />
| | | 612.12<br />418.39 |
| </td>
| | | 918.19<br />627.59 |
| <td style="text-align: center;"><br />
| | | 1224.25<br />836.78 |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | |- |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | |
| <td style="text-align: center;">17/105<br />
| | | |
| </td>
| | | 23/143 |
| <td style="text-align: center;">307.94<br />
| | | 305.91<br />209.09 |
| </td>
| | | 239.41<br />163.64 |
| <td style="text-align: center;">253.59<br />
| | | 66.5<br />46.36 |
| </td>
| | | 611.82<br />418.18 |
| <td style="text-align: center;">54.34<br />
| | | 917.73<br />627.27 |
| </td>
| | | 1223.64<br />836.36 |
| <td style="text-align: center;">615.87<br />
| | | |
| </td>
| | |- |
| <td style="text-align: center;">923.81<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;">1231.74<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | 9/56 |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | | 305.67<br />208.93 |
| <td style="text-align: center;"><br />
| | | 237.74<br />162.5 |
| </td>
| | | 67.93<br />46.43 |
| <td style="text-align: center;"><br />
| | | 611.34<br />417.86 |
| </td>
| | | 917.01<br />626.79 |
| <td style="text-align: center;"><br />
| | | 1222.68<br />835.71 |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | |- |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | |
| <td style="text-align: center;">11/68<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | 22/137 |
| <td style="text-align: center;">307.67<br />
| | | 305.42<br />208.76 |
| </td>
| | | 236.01<br />161.31 |
| <td style="text-align: center;">251.73<br />
| | | 69.41<br />47.445 |
| </td>
| | | 610.85<br />417.52 |
| <td style="text-align: center;">55.94<br />
| | | 916.27<br />626.28 |
| </td>
| | | 1221.69<br />835.04 |
| <td style="text-align: center;">615.34<br />
| | | |
| </td>
| | |- |
| <td style="text-align: center;">923.01<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;">1230.68<br />
| | | |
| </td>
| | | |
| <td style="text-align: center;"><br />
| | | |
| </td>
| | | 13/81 |
| </tr>
| | | |
| <tr>
| | | 305.25<br />208.64 |
| <td style="text-align: center;"><br />
| | | 234.81<br />160.49 |
| </td&
| | | 70.44<br />48.15 |
| | | 610.5<br />417.28 |
| | | 915.76<br />625.93 |
| | | 1221.01<br />834.57 |
| | | |
| | |- |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | 17/106 |
| | | 305.03<br />208.49 |
| | | 233.26<br />159.43 |
| | | 71.77<br />49.06 |
| | | 610.06<br />416.98 |
| | | 915.09<br />625.47 |
| | | 1220.12<br />833.96 |
| | | |
| | |- |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | 304.73<br />208.285 |
| | | 231.15<br />157.99 |
| | | 73.58<br />50.29 |
| | | 609.46<br />416.57 |
| | | 914.19<br />624.855 |
| | | 1218.92<br />833.14 |
| | |L=8/7 essentially here |
| | |- |
| | | |
| | | |
| | | 4/25 |
| | | |
| | | |
| | | |
| | | |
| | | 304.31<br />208 |
| | | 228.235<br />156 |
| | | 76.08<br />52 |
| | | 608.63<br />416 |
| | | 912.94<br />624 |
| | | 1217.25 <br />832 |
| | | |
| | |- |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | 19/119 |
| | | 303.67<br />207.56 |
| | | 223.76<br />152.94 |
| | | 79.91<br />54.62 |
| | | 607.35<br />415.13 |
| | | 911.02<br />622.69 |
| | | 1214.69<br />830.25 |
| | | |
| | |- |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | 15/94 |
| | | |
| | | 303.5<br />207.45 |
| | | 222.57<br />152.13 |
| | | 80.93<br />55.32 |
| | | 607.01<br />414.89 |
| | | 910.51<br />622.34 |
| | | 1214.01<br />829.79 |
| | | |
| | |- |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | 303.39<br />207.37 |
| | | 221.8<br />151.61 |
| | | 81.595<br />55.77 |
| | | 606.79<br />414.74 |
| | | 910.18<br />622.115 |
| | | 1213.57<br />829.49 |
| | | |
| | |- |
| | | |
| | | |
| | | |
|
| |
|
| <br />
| | [[Category:Sirius| ]] <!-- main article --> |
| <span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 2126px; width: 1px;"><br />
| | [[Category:Rank-2 temperaments]] |
| | | [[Category:Non-octave temperaments]] |
| | | {{Todo| review }} |
| <table class="wiki_table">
| |
| <tr>
| |
| <td><span style="font-family: Calibri;">236.009</span><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </span></body></html></pre></div>
| |