User:Moremajorthanmajor/14edIX
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This scale, a reformed minor mode,occurs in 12edo, where it is the equal division of the major ninth. It has the Long Common Practice Macroshrutis 6L 2s MOS with a 2:1 ratio of large against small. It also gives the wide values for the period of the Greater Silicon temperament.
Intervals
| Nonet | Period | Notes |
|---|---|---|
| 1/1 | 85.714 | Soft Phrygian mode begins |
| 23\22 | 89.610 | |
| 22\21 | 89.796 | Soft Phrygian mode ends, Thirdtone Phrygian mode begins |
| 21\20 | 90.000 | |
| 20\19 | 90.226 | |
| 19\18 | 90.476 | |
| 37\35 | 90.612 | |
| 18\17 | 90.756 | |
| 17\16 | 91.071 | |
| 16\15 | 91.429 | Thirdtone Phrygian mode ends |
| 15\14 | 91.837 | Semitone Phrygian mode begins |
| 14\13 | 92.308 | |
| 27\25 | 92.571 | |
| 13\12 | 92.857 | |
| 12\11 | 93.506 | |
| 11\10 | 94.286 | Semitone Phrygian mode ends, Intense Phrygian mode begins |
| 21\19 | 94.737 | |
| 10\9 | 95.238 | Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins |
| 19\17 | 95.798 | |
| 9\8 | 96.429 | Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins |
| 17\15 | 97.143 | |
| 8\7 | 97.959 | Soft Aeolian mode ends, Flattone Aeolian mode begins |
| 15\13 | 98.901 | |
| 22\19 | 99.248 | Flattone Aeolian mode ends, Meantone Aeolian mode begins |
| 29\25 | 99.429 | |
| 7\6 | 100.000 | Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins |
| 20\17 | 100.840 | |
| 13\11 | 101.299 | Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins |
| 19\16 | 101.786 | |
| 6\5 | 102.857 | 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 | G#/Ab | 88.575-90.4325 | 88.751-90.608 | 89.103-91.32 | 89.871-91.7835 | 91.334-93.515 | 91.983-94.271 |
| 2 | A | 177.151-180.865 | 177.501-181.216 | 178.206-182.64 | 179.743-183.567 | 182.667-187.031 | 183.965-188.543 |
| 3 | A#/Bb | 265.756-271.2975 | 266.252-271.823 | 267.309-273.96 | 269.614-275.351 | 274.001-280.545 | 275.948-282.814 |
| 4 | B | 354.301-361.73 | 355.003-362.431 | 356.412-365.28 | 359.4855-367.134 | 365.335-374.613 | 367.931-377.085 |
| 5 | B#/Cb | 442.877-452.1625 | 443.753-453.039 | 445.515-456.6 | 449.357-458.918 | 456.6685-467.577 | 459.913-471.357 |
| 6 | C | 531.452-542.595 | 532.504-543.647 | 534.6175-547.92 | 539.228-550.701 | 548.002-561.092 | 551.896-565.628 |
| 7 | Q | 620.0275-633.0275 | 621.253-634.253 | 623.7205-639.24 | 629.1-642.485 | 639.335-654.335 | 643.879-659.8995 |
| 8 | Q#/Db | 708.603-723.46 | 710.005-724.862 | 712.823-730.56 | 718.971-734 | 730.67-748.123 | 735.861-754.171 |
| 9 | D | 797.178-813.8925 | 798.756-815.47 | 801.926-821.88 | 808.842-826.032 | 822.003-841.78 | 827.844848.442 |
| 10 | D#/Eb | 885.754-904.325 | 887.507-906.078 | 891.029-913.2 | 898.714-917.835 | 913.337-935.153 | 919.8265-942.7135 |
| 11 | E | 974.329-994.7575 | 976.257-996.686 | 980.132-1004.52 | 988.585-1009.619 | 1007.671-1028.6685 | 1011.809-1036.985 |
| 12 | E#/Fb | 1062.904-1085.19 | 1065.008-1087.294 | 1069.235-1095.84 | 1078.4565-1101.023 | 1096.004-1121.1894 | 1103.792-1131.256 |
| 13 | F | 1151.48-1175.6225 | 1153.759-1177.901 | 1158.338-1187.16 | 1168.328-1193.186 | 1187.338-1215.699 | 1195.7745-1225.528 |
| 14 | G | 1240.055-1266.055 | 1242.506-1268.506 | 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 | F#/Gb | G#/Ab | 93.6975-95.555 | 93.922-95.779 | 94.732-96.589 | 95.012-96.869 | 96.037-97.894 | 96.397-98.254 |
| 2 | G | A | 187.395-191.109 | 187.844-191.558 | 189.463-193.178 | 190.0235-193.738 | 192.074-195.789 | 192.794-196.508 |
| 3 | G#/Ab | A#/Bb | 281.093-286.664 | 281.765-287.337 | 284.195-289.766 | 285.035-290.607 | 288.112-293.683 | 289.191-294.7625 |
| 4 | A | B | 374.79-382.219 | 375.687-383.116 | 378.9265-386.219 | 380.047-387.476 | 384.149-391.577 | 385.588-393.017 |
| 5 | A#/Bb | B#/Cb | 468.488-477.773 | 469.609-478.895 | 473.658-482.944 | 475.059-484.3445 | 480.186-489.472 | 481.985-491.271 |
| 6 | B | C | 562.185-573.328 | 563.531-574.674 | 568.39-579.533 | 570.0705-581.213 | 576.223-587.366 | 578.382-589.525 |
| 7 | H | Q | 655.883-668.883 | 657.4525-670.4525 | 663.121-676.121 | 665.082-678.082 | 672.2605-685.2605 | 674.779-687.779 |
| 8 | H#/Cb | Q#/Db | 749.58-764.4375 | 751.374-766.231 | 757.853-772.71 | 760.094-774.951 | 768.298-783.155 | 771.176-786.033 |
| 9 | C | D | 843.278-859.992 | 845.296-862.01 | 852.585-869.299 | 855.105-871.82 | 864.335-881.049 | 867.573-884.2875 |
| 10 | C#/Db | D#/Eb | 936.975-955.5546 | 939.218-957.789 | 947.316-965.887 | 950.1175-968.689 | 960.372-978.9435 | 963.97-982.542 |
| 11 | D | E | 1030.672-1051.101 | 1033.101-1053.568 | 1042.048-1062.477 | 1045.129-1065.558 | 1056.409-1076.838 | 1060.367-1080.796 |
| 12 | D#/Eb | E#/Fb | 1124.3705-1146.656 | 1127.061-1149.347 | 1136.78-1159.065 | 1140.141-1162.427 | 1152.4465-1174.732 | 1156.764-1179.05 |
| 13 | E | F | 1218.068-1242.211 | 1220.983-1245.126 | 1231.511-1255.654 | 1235.153-1259.295 | 1248.484-1272.626 | 1253.161-1227.304 |
| 14 | 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 | F#/Gb | 97.737-99.5945 | 98.0805-100.2995 | 98.574-100.431 | 99.761-101.618 | 100.043-101.9 | 100.712-102.569 | 101.031-102.888 | |
| 2 | G | 195.475-199.189 | 196.161-200.599 | 197.148-200.862 | 199.523-203.237 | 200.085-203.8 | 201.424-205.138 | 202.061.205.7755 | |
| 3 | G#/Ab | 293.212-298.783 | 294.2415-300.8985 | 295.721-301.293 | 299.284-304.885 | 300.128-305.6995 | 302.135-307.707 | 303.092-308.663 | |
| 4 | A | 390.949-398.378 | 392.322-401.198 | 394.295-401.724 | 399.045-406.474 | 400.171-407.599 | 402.848-410.276 | 404.122-411.551 | |
| 5 | A#/Bb | 488.687-497.972 | 490.4025-501.497 | 492.869-502.155 | 498.806-508.092 | 500.2135-509.499 | 503.56-512.845 | 505.153-514.439 | |
| 6 | B | 586.424-597.567 | 588.483-601.797 | 591.443-602.586 | 598.568-609.711 | 600.256-611.399 | 604.2715-615.414 | 606.1835-617.326 | |
| 7 | H | 684.161-697.161 | 686.5635-702.096 | 690.017-703.017 | 698.329-711.329 | 700.299-713.299 | 704.983-717.983 | 707.214-720.214 | |
| 8 | H#/Cb | 781.899-796.756 | 784.644-802.3955 | 788.5905-803.448 | 798.09-812.947 | 800.342-815.199 | 805.695-820.5525 | 808.245-823.102 | |
| 9 | C | 879.636-896.35 | 882.724-902.695 | 887.164-903.879 | 897.8582-914.566. | 900.384-917.099 | 906.407-923.1215 | 909.275-925.9895 | |
| 10 | C#/Db | 977.373-995.945 | 980.805-1002.995 | 985.738-1004.3095 | 997.613-1016.184 | 1000.427-1018.9985 | 1007.119-1025.691 | 1010.306-1028.877 | |
| 11 | D | 1075.111-1095.539 | 1078.885-1003.294 | 1084.312-1104.7405 | 1097.374-1117.803 | 1100.47-1120.898 | 1107.831-1128.26 | 1111.134-1131.765 | |
| 12 | D#/Eb | 1172.848-1195.134 | 1176.966-1203.594 | 1182.886-1205.171 | 1197.135-1219.421 | 1200.512-1222.798 | 1208.543-1230.829 | 1212.367-1234.653 | |
| 13 | E | 1270.585-1294.728 | 1275.046-1303.893 | 1281.4956-1305.603 | 1296.867-1321.04 | 1300.555-1324.698 | 1309.255-1333.398 | 1313.3975-1337.54 | |
| 14 | F | 1368.323-1394.324 | 1373.127-1404.193 | 1380.033-1406.033 | 1396.658-1422.658 | 1400.598-1426.598 | 1409.967-1435.967 | 1414.428-1440.428 | |