User:Moremajorthanmajor/17edIX
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This scale, a Long Common Practice minor mode, has the Grandfather 3L 5s MOS with a 4:1 ratio of large against small. It also gives the wide values for the period of the Greater Chlorine temperament.
Intervals
| Nonet | Period | Notes |
|---|---|---|
| 1/1 | 70.588 | Soft Phrygian mode begins |
| 23\22 | 73.797 | |
| 22\21 | 73.950 | Soft Phrygian mode ends, Thirdtone Phrygian mode begins |
| 21\20 | 74.118 | |
| 20\19 | 74.303 | |
| 19\18 | 74.510 | |
| 37\35 | 74.622 | |
| 18\17 | 74.740 | |
| 17\16 | 75.000 | |
| 16\15 | 75.294 | Thirdtone Phrygian mode ends |
| 15\14 | 75.630 | Semitone Phrygian mode begins |
| 14\13 | 76.018 | |
| 27\25 | 76.235 | |
| 13\12 | 76.471 | |
| 12\11 | 77.005 | |
| 11\10 | 77.647 | Semitone Phrygian mode ends, Intense Phrygian mode begins |
| 21\19 | 78.019 | |
| 10\9 | 78.431 | Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins |
| 19\17 | 78.893 | |
| 9\8 | 79.412 | Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins |
| 17\15 | 80.000 | |
| 8\7 | 80.672 | Soft Aeolian mode ends, Flattone Aeolian mode begins |
| 15\13 | 81.448 | |
| 22\19 | 81.734 | Flattone Aeolian mode ends, Meantone Aeolian mode begins |
| 29\25 | 81.882 | |
| 7\6 | 82.353 | Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins |
| 20\17 | 83.045 | |
| 13\11 | 83.422 | Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins |
| 19\16 | 83.824 | |
| 6\5 | 84.706 | Ultrapyth Intense Aeolian mode ends |
Golden/Pyrite Tunings±13¢
| Degrees | Octatonic | Soft Phrygian | Phrygian | |||||
|---|---|---|---|---|---|---|---|---|
| Min-Med | Min-Max/Med-Max | Thirdtone | Semitone | |||||
| Min-Med/Min-Max | Med-Max | Min-Med/Min-Max | Med-Max | |||||
| 1 | A | Ab | 72.944-74.474 | 73.089-74.618 | 73.379-75.205 | 74.012-75.586 | 75.216-77.013 | 75.75-77.635 |
| 2 | B\\ | G#v/Ab^ | 145.889-148.948 | 146.178-149.236 | 146.758-150.409 | 148.023-151.173 | 150.432-154.025 | 151.501-155.2705 |
| 3 | Apv/B\\^ | G# | 218.833-223.4215 | 219.266-223.855 | 220.137-225.614 | 222.035-226.759 | 225.648-230.037 | 227.251-232.906 |
| 4 | Ap | A | 291.778-297.895 | 292.355-298.473 | 293.5155-300.819 | 296.047-302.346 | 300.864-308.050 | 303.002-301.541 |
| 5 | B | 364.722-372.369 | 365.444-373.091 | 366.894-376.0235 | 370.059-377.932 | 376.08-385.063 | 378.752-388.176 | |
| 6 | C | 437.6665-446.843 | 438.533-447.709 | 440.273-451.228 | 444.070-453.519 | 451.296-462.075 | 454.5025-465.811 | |
| 7 | Q | Qb | 510.611-521.317 | 511.621-522.327 | 513.652-526.433 | 518.082-529.105 | 526.512-539.088 | 530.253-543.447 |
| 8 | D\\ | C#v/Qb^ | 583.555-595.791 | 584.71-596.9455 | 587.031-601.638 | 592.094-604.6915 | 601.728-616.101 | 606.003-621.082 |
| 9 | Qpv/D\\^ | C# | 656.5-670.264 | 657.799-671.564 | 660.41-676.842 | 661.1055-680.278 | 676.944-693.1135 | 681.754-698.717 |
| 10 | Qp | Q | 729.444-744.738 | 730.888-746.182 | 733.789-752.047 | 740.117-755.864 | 752.16-770.126 | 757.504-776.352 |
| 11 | D | 802.3885-819.212 | 803.9765-820.8 | 807.468-827.252 | 814.129-831.451 | 827.376-847.139 | 833.255-853.988 | |
| 12 | E | 875.333-893.686 | 877.065-895.418 | 880.5465-902.456 | 888.141-907.037 | 902.592-924.151 | 909.005-931.622 | |
| 13 | F | Fb | 948.277-968.16 | 950.154-970.0365 | 953.925-977.661 | 962.152-982.624 | 977.808-1001.164 | 984.755-1009.258 |
| 14 | F\\ | E#v/Fb^ | 1021.222-1042.6335 | 1023.243-1044.655 | 1027.304-1052.866 | 1036.164-1058.21 | 1053.024-1078.177 | 1060.506-1086.893 |
| 15 | Fpv/G\\^ | E# | 1094.166-1117.107 | 1096.332-1119.273 | 1100.683-1128.0705 | 1110.176-1133.7965 | 1128.24-1155.189 | 1136.256-1164.5285 |
| 16 | Fp | F | 1167.111-1191.581 | 1169.42-1193.891 | 1174.062-1203.275 | 1184.188-1209.382 | 1203.456-1232.202 | 1212.007-1242.164 |
| 17 | G | 1240.055-1266.055 | 1242.506-1268.509 | 1247.441-1278.48 | 1258.199-1284.969 | 1278.672-1309.2145 | 1287.757-1319.799 | |
| Degrees | Octatonic | Intense Phrygian | Intense Phrygian-Soft Aeolian | Soft Aeolian | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Min-Med/Min-Max | Med-Max | Min-Med/Min-Max | Med-Max | Min-Med/Min-Max | Med-Max | |||||
| 1 | G | Gb | A | Ab | 77.163-78.692 | 77.347-78.877 | 78.014-79.544 | 78.245-79.774 | 79.0895-80.618 | 79.385-80.915 |
| 2 | A\\ | F#v/Gb^ | B\\ | G#v/Ab^ | 155.325-157.384 | 155.695-157.7535 | 156.029-159.087 | 156.49-159.549 | 158.179-161.238 | 158.772-161.83 |
| 3 | Gpv/A\\^ | F# | Apv/B\\^ | G# | 231.488-236.076 | 232.042-236.63 | 234.043-238.631 | 234.735-239.323 | 237.268-241.857 | 238.157-242.746 |
| 4 | Gp | G | Ap | A | 308.651-314.768 | 309.389-315.507 | 312.057-318.175 | 312.98-319.098 | 316.358-322.4755 | 317.543-323.661 |
| 5 | A | B | 385.814-393.4605 | 386.737-394.384 | 390.071-397.7185 | 391.225-398.872 | 395.447-403.094 | 396.929-404.576 | ||
| 6 | B | C | 462.976-472.1525 | 464.084-473.261 | 468.086-477.262 | 469.469-478.646 | 474.537-483.713 | 476.315-485.4913 | ||
| 7 | H | Hb | Q | Qb | 540.139-550.845 | 541.4315-549.423 | 546.1-556.806 | 547.715-558.421 | 553.627-564.332 | 555.7005-566.406 |
| 8 | C\\ | B#v/Hb^ | D\\ | C#v/Qb^ | 617.3015-629.537 | 618.779-631.014 | 624.114-636.35 | 625.96-638.195 | 632.716-644.951 | 635.086-647.322 |
| 9 | Hpv/C\\^ | B# | Qpv/D\\^ | C# | 694.464-708.229 | 696.126-709.891 | 702.129-715.893 | 704.205-717.969 | 711.805-725.57 | 714.805-728.237 |
| 10 | Hp | H | Qp | Q | 771.629-786.921 | 773.4735-788.768 | 780.143-795.437 | 782.45-797.744 | 790.895-806.189 | 793.858-809.152 |
| 11 | C | D | 848.79-865.613 | 865.821-867.644 | 858.157-874.981 | 860.695-877.518 | 869.984-886.808 | 873.243-890.067 | ||
| 12 | D | E | 925.952-944.305 | 928.168-946.521 | 936.171-954.527 | 938.94-957.293 | 949.074-967.427 | 952.692-970.982 | ||
| 13 | E | Eb | F | Fb | 1003.115-1022.997 | 1005.516-1025.398 | 1014.186-1034.0668 | 1017.185-1037.067 | 1028.163-1048.045 | 1032.015-1051.8975 |
| 14 | F\\ | D#v/Eb^ | F\\ | E#v/Fb^ | 1080.278-1101.689 | 1082.863-1104.275 | 1092.2-1113.612 | 1095.43-1116.841 | 1107.253-1128.664 | 1111.401-1132.813 |
| 15 | Epv/F\\^ | D# | Fpv/G\\^ | E# | 1157.44-1180.381 | 1160.21-1183.151 | 1170.214-1193.1555 | 1173.675-1196.616 | 1186.3425-1209.283 | 1190.788-1213.728 |
| 16 | Ep | E | Fp | F | 1234.603-1259.0735 | 1237.558-1262.028 | 1248.229-1272.699 | 1251.9195-1276.39 | 1265.4315-1289.902 | 1270.173-1294.643 |
| 17 | F | G | 1311.767-1337.767 | 1314.905-1340.905 | 1326.243-1352.243 | 1330.1645-1356.1645 | 1344.521-1370.521 | 1349.558-1375.558 | ||
| Degrees | Octatonic | Aeolian | Intense Aeolian | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Flattone | Meantone | Superpyth | Ultrapyth | |||||||
| Min-Med | Med-Max~Min-Max | Min-Med/Min-Max | Med-Max | Min-Med | Min-Max/Med-Max | Min-Med/Min-Max | Med-Max | |||
| 1 | G | Gb | 80.49-82.019 | 80.772-82.6 | 81.178-82.707 | 82.156-83.686 | 82.388-83.9175 | 82.939-84.469 | 83.202-84.731 | |
| 2 | A\\ | F#v/Gb^ | 160.979-164.038 | 161.544-165.199 | 162.356-165.416 | 164.127-167.31715 | 164.776-167.835 | 165.8785-168.937 | 166.403-169.462 | |
| 3 | Gpv/A\\^ | F# | 241.469-246.057 | 242.316-247.799 | 243.535-248.1235 | 246.469-251.057 | 247.164-251.753 | 248.818-253.405 | 249.605-254.193 | |
| 4 | Gp | G | 321.958-328.076 | 323.089-330.398 | 324.714-330.831 | 328.625-334.743 | 329.552-335.67 | 331.757-337.875 | 332.807-338.324 | |
| 5 | A | 402.448-410.095 | 403.861-412.998 | 405.892-413.539 | 410.782-418.429 | 411.9405-419.588 | 414.696-422.343 | 416.008-423.655 | ||
| 6 | B | 482.937-492.114 | 484.633-495.597 | 487.071-496.247 | 492.938-502-115 | 494.329-503.505 | 497.635-506.812 | 499.21-508.386 | ||
| 7 | H | Hb | 563.427-574.133 | 565.405-578.197 | 568.249-578.955 | 575.0945-585.8 | 576.717-587.423 | 580.575-591.2805 | 582.416-593.117 | |
| 8 | C\\ | B#v/Hb^ | 643.917-656.152 | 647.177-660.797 | 649.4275-661.663 | 657.251-669.486 | 659.105-671.34 | 663.514-675.749 | 665.613-677.8485 | |
| 9 | Hpv/C\\^ | B# | 724.406-738.171 | 726.9495-743.396 | 730.606-744.371 | 739.407-753.172 | 741.493-755.258 | 746.453-760.218 | 748.815-762.58 | |
| 10 | Hp | H | 804.896-820.19 | 807.722-825.996 | 811.784-827.0785 | 821.5635-836.858 | 823.881-839.175 | 829.392-844.686 | 832.0165-847.311 | |
| 11 | C | 885.385-902.209 | 888.494-908.595 | 892.963-909.7886 | 903.72-920.543 | 906.269-923.093 | 912.331-929.155 | 915.218-932.041 | ||
| 12 | D | 965.875-984.228 | 969.266-991.195 | 974.141-992.494 | 985.876-1004.229 | 988.657-1007.01 | 995.271-1013.624 | 998.419-1016.773 | ||
| 13 | E | Eb | 1046.364-1066.247 | 1050.004-1073.794 | 1055.32-1075.202 | 1068.033-1087.915 | 1071.045-1090.928 | 1078.21-1098.092 | 1081.6215-1101.504- | |
| 14 | F\\ | D#v/Eb^ | 1126.854-1148.266 | 1130.81-1156.394 | 1136.498-1157.91 | 1150.189-1171.601 | 1153.4335-1174.845 | 1161.149-1182.561 | 1164.823-1186.235 | |
| 15 | Epv/F\\^ | D# | 1207.344-1230.285 | 1211.583-1238.9935 | 1217.6765-1240.617 | 1232.345-1255.2865 | 1235.822-1258.762 | 1244.088-1267.03 | 1248.025-1270.966 | |
| 16 | Ep | E | 1287.833-1312.304 | 1292.3545-1321.593 | 1298.855-1323.3255 | 1314.502-1338.972 | 1318.21-1342.68 | 1327.028-1351.498 | 1331.226-1355.697 | |
| 17 | F | 1368.322-1394.322 | 1373.127-1404.193 | 1380.033-1406.033 | 1396.658-1422.658 | 1400.598-1426.598 | 1409.967-1435.967 | 1414.428-1440.428 | ||