User:Moremajorthanmajor/19edX: Difference between revisions
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! colspan="10" |Major mode Middletown temperament | ! colspan="10" |Major mode Middletown temperament | ||
|- | |- | ||
! colspan="2" rowspan="3" |Aeolian-Dorian | ! colspan="2" rowspan="3" |Intense Aeolian-Dorian | ||
! colspan="6" |Dorian | ! colspan="6" |Dorian | ||
! colspan="2" rowspan="3" |Dorian-Mixolydian | ! colspan="2" rowspan="3" |Dorian-Mixolydian | ||
| Line 471: | Line 471: | ||
! colspan="5" |Major mode Middletown temperament | ! colspan="5" |Major mode Middletown temperament | ||
|- | |- | ||
! rowspan="3" |Aeolian-Dorian | ! rowspan="3" |Intense Aeolian-Dorian | ||
! colspan="3" |Dorian | ! colspan="3" |Dorian | ||
! rowspan="3" |Dorian-Mixolydian | ! rowspan="3" |Dorian-Mixolydian | ||
Revision as of 04:40, 5 December 2018
Explanation needed for what this is. See edX maybe?
Intervals
| Degrees | Enneatonic | Minor mode Middletown temperament | Neutral mode Middletown temperament | Major mode Middletown temperament | ||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Intense Aeolian-Dorian | Dorian | Dorian-Mixolydian | Mixolydian | Mixolydian-Ionian | ||||||||||||||||||
| Subpental | Pental | Superpental | Subpental | Pental | Superpental | |||||||||||||||||
| Soft | Intense | |||||||||||||||||||||
| Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | |||
| 1 | Gb | 75.7895 | 77.193 | 78.947 | 80.383 | 81.203 | 82.105 | 82.895 | 84.2105 | 84.9365 | 87.114 | 88.421 | ||||||||||
| 2 | F# | 151.579 | 154.386 | 157.895 | 160.766 | 162.406 | 164.2105 | 165.7895 | 168.421 | 169.873 | 174.229 | 176.842 | ||||||||||
| 3 | G | 227.368 | 231.579 | 236.842 | 241.148 | 243.609 | 246.316 | 248.684 | 252.632 | 254.809 | 261.343 | 265.263 | ||||||||||
| 4 | J | A | 303.158 | 308.772 | 315.7895 | 321.531 | 324.812 | 328.421 | 331.579 | 336.842 | 339.746 | 348.457 | 353.684 | |||||||||
| 5 | Ab | Bb | 378.947 | 385.965 | 394.737 | 401.914 | 406.015 | 410.526 | 414.474 | 421.053 | 424.682 | 435.527 | 442.105 | |||||||||
| 6 | J# | A# | 454.737 | 463.158 | 473.684 | 482.297 | 487.218 | 492.632 | 497.368 | 505.263 | 509.619 | 522.686 | 530.526 | |||||||||
| 7 | A | B | 530.526 | 540.351 | 552.632 | 592.679 | 568.421 | 574.737 | 580.263 | 589.474 | 594.555 | 609.8 | 618.947 | |||||||||
| 8 | B | H | 606.316 | 617.544 | 631.579 | 643.062 | 647.624 | 656.842 | 663.158 | 673.684 | 679.491 | 696.915 | 707.368 | |||||||||
| 9 | Hb | Cb | 682.105 | 694.737 | 710.526 | 723.445 | 730.827 | 738.947 | 746.053 | 757.895 | 764.418 | 784.029 | 795.7895 | |||||||||
| 10 | B# | H# | 757.895 | 771.93 | 789.474 | 803.828 | 812.03 | 821.053 | 828.947 | 842.105 | 849.365 | 871.143 | 884.2105 | |||||||||
| 11 | H | C | 833.654 | 849.123 | 868.421 | 884.2105 | 893.233 | 903.158 | 911.843 | 926.316 | 934.302 | 958.258 | 972.632 | |||||||||
| 12 | C | D | 909.474 | 926.326 | 947.378 | 964.593 | 974.436 | 985.263 | 994.737 | 1010.526 | 1019.238 | 1045.372 | 1061.053 | |||||||||
| 13 | Db | Sb | 985.263 | 1003.509 | 1026.316 | 1044.976 | 1055.639 | 1067.368 | 1077.612 | 1094.737 | 1104.172 | 1132.486 | 1149.474 | |||||||||
| 14 | C# | D# | 1061.053 | 1080.702 | 1105.263 | 1125.359 | 1136.842 | 1149.474 | 1160.526 | 1178.947 | 1189.111 | 1220.601 | 1237.895 | |||||||||
| 15 | D | S | 1136.842 | 1107.895 | 1184.2105 | 1205.742 | 1218.045 | 1231.579 | 1243.421 | 1263.158 | 1274.047 | 1306.715 | 1326.316 | |||||||||
| 16 | Eb | 1212.632 | 1235.088 | 1363.156 | 1286.124 | 1299.248 | 1313.684 | 1326.316 | 1347.378 | 1359.984 | 1393.829 | 1414.737 | ||||||||||
| 17 | D# | S# | 1288.421 | 1312.181 | 1042.105 | 1366.507 | 1380.451 | 1395.7895 | 1408.2105 | 1431.579 | 1443.98 | 1480.944 | 1503.158 | |||||||||
| 18 | E | 1364.2105 | 1389.474 | 1421.053 | 1446.89 | 1461.654 | 1477.895 | 1491.105 | 1515.7895 | 1526.8275 | 1568.058 | 1591.579 | ||||||||||
| 19 | F | 1440 | 1466.667 | 1500 | 1527.273 | 1542.857 | 1560 | 1575 | 1600 | 1613.793 | 1655.172 | 1680 | ||||||||||
Most harmonic tunings
| Degrees | Enneatonic | Minor mode Middletown temperament | Neutral mode Middletown temperament | Major mode Middletown temperament | |
|---|---|---|---|---|---|
| 7/3±13¢ | 22/9±13¢ | 5/2±13¢ | |||
| 1 | Gb | 76.5195-77.888 | 80.758-82.127 | 82.806-84.174 | |
| 2 | F# | 153.039-155.776 | 161.517-164.2535 | 165.612-168.349 | |
| 3 | G | 229.559-233.664 | 242.275-246.38 | 248.418-252.523 | |
| 4 | J | A | 306.078-311.552 | 323.033-328.507 | 331.224-336.698 |
| 5 | Ab | Bb | 382.598-389.44 | 403.792-410.634 | 414.03-420.872 |
| 6 | J# | A# | 459.117-467.328 | 484.55-492.76 | 496.835-505.046 |
| 7 | A | B | 535.637-545.216 | 565.308-574.887 | 579.342-589.221 |
| 8 | B | H | 612.156-623.1035 | 646.0665-657.014 | 662.448-673.395 |
| 9 | Hb | Cb | 688.676-700.9915 | 726.825-739.141 | 745.254-757.57 |
| 10 | B# | H# | 765.195-778.879 | 807.583-821.267 | 828.06-841.744 |
| 11 | H | C | 841.715-856.767. | 888.341-903.394 | 910.866-925.9185 |
| 12 | C | D | 918.234-934.655 | 969.1-985.52 | 993.672-1010.093 |
| 13 | Db | Sb | 994.754-1012.543 | 1049.858-1067.6475 | 1076.478-1094.267 |
| 14 | C# | D# | 1071.273-1090.431 | 1130.616-1149.774 | 1159.284-1178.442 |
| 15 | D | S | 1147.793-1168.319 | 1211.375-1231.901 | 1242.09-1262.616 |
| 16 | Eb | 1224.312-1266.207 | 1292.133-1314.028 | 1324.896-1346.7905 | |
| 17 | D# | S# | 1300.832--1324.095 | 1372.891-1396.1545 | 1407.702-1430.965 |
| 18 | E | 1377.351-1401.983 | 1453.65-1478.281 | 1490.507-1515.139 | |
| 19 | F | 1453.871-1479.871 | 1534.408-1560.408 | 1573.314-1599.314 | |
Golden tunings±13¢
| Degrees | Enneatonic | Minor mode Middletown temperament | Neutral mode Middletown temperament | Major mode Middletown temperament | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Intense Aeolian-Dorian | Dorian | Dorian-Mixolydian | Mixolydian | Mixolydian-Ionian | ||||||||
| Subpental | Pental | Superpental | Subpental | Pental | Superpental | |||||||
| Soft | Intense | |||||||||||
| 1 | Gb | 76.15-77.5185 | 76.887-78.255 | 79.435-80.804 | 79.93-81.2985 | 81.149-82.517 | 81.9905-83.359 | 82.347-83.716 | 84.209-85.557 | 85.598-86.967 | 86.556-87.924 | |
| 2 | F# | 152.3-155.037 | 153.774-156.5105 | 158.87-161.607 | 159.86-162.597 | 162.297-165.034 | 163.981-166.718 | 164.694-167.431 | 168.417-171.154 | 171.1965-173.933 | 173.112-175.849 | |
| 3 | G | 228.45-232.555 | 230.6605-234.766 | 238.3055-242.411 | 239.79-243.896 | 243.446-247.551 | 245.971-250.077 | 247.0415-251.147 | 252.626-256.731 | 256.795-260.9 | 259.668-263.773 | |
| 4 | J | A | 304.6-310.074 | 307.547-313.021 | 317.741-323.214 | 319.72-325.164 | 324.594-330.068 | 327.962-333.436 | 329.389-334.862 | 336.835-342.308 | 342.393-347.867 | 346.224-351.6975 |
| 5 | Ab | Bb | 380.75-387.592 | 384.434-391.276 | 397.176-404.018 | 399.6505-406.493 | 405.743-412.585 | 409.953-416.795 | 411.736-418.578 | 421.043-427.885 | 427.991-434.833 | 432.78-439.622 |
| 6 | J# | A# | 456.9-465.111 | 461.321-469.5315 | 476.611-484.8215 | 479.581-487.791 | 486.8915-495.102 | 491.943-500.154 | 494.083-502.2935 | 505.252-513.462 | 513.59-521.8 | 519.336-527.546 |
| 7 | A | B | 533.05-542.926 | 538.208-547.787 | 556.046-565.625 | 559.511-569.09 | 568.04-577.619 | 573.934-583.513 | 576.43-586.001 | 589.4605-599.0395 | 599.188-608.767 | 605.892-615.471 |
| 8 | B | H | 609.2-620.148 | 615.095-626.042 | 635.481-648.429 | 639.441-650.388 | 649.189-660.136 | 655.924-666.872 | 658.777-669.725 | 673.669-684.6165 | 684.786-694.733 | 692.448-703.395 |
| 9 | Hb | Cb | 685.35-697.666 | 691.981-704.297 | 714.9165-727.232 | 719.371-731.687 | 730.337-742.653 | 737.915-750.231 | 741.1245-752.44 | 757.878-770.194 | 770.384-782.7 | 779.004-791.31+ |
| 10 | B# | H# | 761.5-775.185 | 768.868-782.5525 | 794.352-808.036 | 799.301-812.985 | 811.486-825.17 | 819.9055-833.59 | 834.451-837.156 | 842.086-855.771 | 855.983-879.244 | 865.56-881.262 |
| 11 | H | C | 837.6505-852.703 | 845.755-860.808 | 873.787-888.8395 | 879.231-894.284 | 892.6345-907.687 | 901.896-916.949 | 905.819-917.156 | 926.295-941.348 | 941.581-956.6335 | 952.1155-967.168 |
| 12 | C | D | 913.8005-930.222 | 922.642-939.063 | 953.222-969.643 | 959.161-975.582. | 973.783-990.304 | 983.887-1000.308 | 988.166-1000.8715 | 1010.503-1026.925 | 1027.179-1043.6 | 1038.6715-1055.093 |
| 13 | Db | Sb | 989.951-1007.74 | 999.529-1017.318 | 1032.657-1050.447 | 1039.091-1056.881 | 1054.932-1072.721 | 1065.877-1083.667 | 1070.513-1084.587 | 1094.712-1112.502 | 1112.777-1130.567 | 1125.2275-1143.017 |
| 14 | C# | D# | 1066.101-1085.2585 | 1076.416-1095.5735 | 1112.092-1131.25 | 1119.021-1138.179 | 1136.08-1152.238 | 1147.868-1167.026 | 1152.86-1168.303 | 1178.921-1198.079 | 1198.376-1217.5335 | 1211.783-1230.941 |
| 15 | D | S | 1142.251-1162.777 | 1153.302-1173.829 | 1191.5275-1212.054 | 1198.9515-1219.478 | 1217.229-1237.755 | 1229.858-1250.3845 | 1235.2075-1252.018 | 1263.13-1283.656 | 1283.974-1304.5 | 1298.339-1318.451 |
| 16 | Eb | 1218.401-1240.295 | 1230.159-1525.054 | 1270.963-1292.857 | 1279.882-1300.776 | 1298.377-1320.272 | 1311.849-1333.743 | 1317.555-1339.734 | 1347.338-1369.233 | 1369.572-1389.467 | 1384.895-1406.79 | |
| 17 | D# | S# | 1294.551-1317.814 | 1307.0769-1330.339 | 1350.298-1373.661 | 1358.612-1382.075 | 1379.526-1402.789 | 1393.839-1417.1025 | 1399.912-1423.165 | 1431.547-1454.81 | 1455.17-1478.434 | 1471.451-1494.7145 |
| 18 | E | 1370.701-1395.332 | 1383.963-1408.594 | 1429.833-1454.465 | 1438.742-1463.373 | 1460.675-1485.306 | 1475.83-1500.461 | 1399.902-1499.446 | 1515.756-1540.387 | 1540.769-1565.4 | 1558.007-1582.639 | |
| 19 | F | 1446.851-1472.851 | 1460.85-1486.85 | 1509.268-1535.268 | 1518.672-1544.672 | 1541.823-1567.823 | 1557.82-1583.82 | 1564.596-1590.596 | 1599.964-1625.964 | 1626.366-1652.366 | 1644.563-1670.563 | |