User:Moremajorthanmajor/19edX

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Explanation needed for what this is. See edX maybe?

Intervals

Degrees Enneatonic Minor mode Middletown temperament Neutral mode Middletown temperament Major mode Middletown temperament
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
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
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