User:Moremajorthanmajor/17edIX
This scale, a Long Common Practice minor mode, has the Grandfather 3L 5s MOS with a 4:1 ratio of large against small.
Intervals
| Degrees | Octatonic | Phrygian Mode (aka Double) Neapolitan Temperament (natural minor) | Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor) | Aeolian Mode Neapolitan Temperament (melodic/harmonic minor) | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Absolute Minimum | Minimum | Median | Maximum | Minimum | Median | Maximum | Minimum | Median | Maximum | |||
| 1 | G | Gb | 70.588 | 74.622 | 75.294 | 77.647 | 78.893 | 80.672 | 82.353 | 84.706 | ||
| 2 | A\\ | F#v/Gb^ | 141.1765 | 149.244 | 150.588 | 155.294 | 157.7855 | 161.3445 | 164.706 | 169.412 | ||
| 3 | Gpv/A\\^ | F# | 211.765 | 213.8655 | 225.882 | 232.941 | 236.678 | 242.017 | 247.059 | 254.118 | ||
| 4 | Gp | G | 282.353 | 298.487 | 301.1765 | 310.588 | 315.571 | 322.689 | 329.412 | 338.8235 | ||
| 5 | A | A | 352.941 | 373.109 | 376.471 | 387.235 | 394.464 | 403.361 | 411.765 | 423.529 | ||
| 6 | B | B | 423.529 | 447.731 | 451.765 | 464.822 | 473.356 | 484.034 | 494.118 | 508.235 | ||
| 7 | H | Hb | 494.118 | 522.353 | 527.059 | 542.529 | 552.249 | 564.706 | 576.471 | 592.941 | ||
| 8 | C\\ | B#v/Hb^ | 564.706 | 596.975 | 602.353 | 620.1765 | 651.142 | 645.378 | 658.8235 | 677.647 | ||
| 9 | Hpv/C\\^ | B# | 635.294 | 671.597 | 677.647 | 697.8235 | 710.035 | 726.05 | 741.1765 | 762.653 | ||
| 10 | Hp | H | 705.882 | 746.2185 | 752.941 | 777.471 | 788.927 | 806.723 | 823.529 | 847.059 | ||
| 11 | C | C | 776.471 | 820.84 | 828.235 | 855.118 | 867.82 | 887.395 | 905.882 | 931.765 | ||
| 12 | D | D | 847.059 | 895.462 | 903.529 | 932.765 | 956.713 | 968.067 | 988.235 | 1016.471 | ||
| 13 | E | Eb | 917.647 | 970.084 | 978.8235 | 1010.412 | 1025.6055 | 1048.7395 | 1070.588 | 1101.1765 | ||
| 14 | F\\ | D#v/Eb^ | 988.235 | 1044.706 | 1054.118 | 1088.059 | 1104.598 | 1129.412 | 1152.941 | 1185.882 | ||
| 15 | Epv/F\\^ | D# | 1058.8235 | 1119.328 | 1129.412 | 1164.706 | 1183.391 | 1210.084 | 1233.294 | 1270.588 | ||
| 16 | Ep | E | 1129.412 | 1193.95 | 1204.706 | 1242.353 | 1262.284 | 1290.756 | 1317.647 | 1355.294 | ||
| 17 | F | 1200 | 1268.571 | 1280 | 1320 | 1341.1765 | 1371.429 | 1400 | 1440 | |||
Golden Tunings
| Degrees | Octatonic | Phrygian Mode (natural minor) | Phrygian-Aeolian Mode (intermediate minor) | Aeolian Mode (melodic/harmonic minor) | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Min-Med | Min-Max | Med-Max | Min-Med/Min-Max | Med-Max | Min-Med | Min-Max | Med-Max | |||
| 1 | G | Gb | 74.763 | 75.076 | 75.981 | 78.561 | 79.254 | 81.254 | 81.908 | 83.153 |
| 2 | A\\ | F#v/Gb^ | 149.525 | 150.152 | 151.961 | 157.121 | 158.5075 | 162.509 | 163.815 | 166.306 |
| 3 | Gpv/A\\^ | F# | 224.288 | 225.228 | 227.942 | 235.982 | 237.761 | 243.763 | 245.723 | 249.458 |
| 4 | Gp | G | 299.0505 | 300.3035 | 303.923 | 314.242 | 317.015 | 325.017 | 327.63 | 332.611 |
| 5 | A | A | 373.813 | 375.379 | 379.9035 | 392.803 | 396.269 | 406.271 | 409.538 | 415.764 |
| 6 | B | B | 448.576 | 450.455 | 455.884 | 471.264 | 475.522 | 487.526 | 491.4455 | 498.917 |
| 7 | H | Hb | 523.338 | 525.531 | 531.865 | 549.924 | 554.776 | 568.78 | 573.353 | 582.07 |
| 8 | C\\ | B#v/Hb^ | 598.101 | 600.607 | 607.846 | 628.485 | 634.03 | 650.034 | 655.261 | 665.2225 |
| 9 | Hpv/C\\^ | B# | 672.864 | 675.683 | 683.826 | 707.0455 | 713.284 | 731.2885 | 737.168 | 748.375 |
| 10 | Hp | H | 747.626 | 750.759 | 759.807 | 785.606 | 792.537 | 812.543 | 819.076 | 831.528 |
| 11 | C | C | 822.389 | 825.835 | 835.788 | 864.168 | 871.791 | 893.797 | 900.983 | 914.681 |
| 12 | D | D | 897.1515 | 900.9105 | 911.768 | 942.727 | 951.045 | 975.051 | 982.891 | 997.833 |
| 13 | E | Eb | 971.914 | 975.986 | 987.749 | 1021.288 | 1030.2985 | 1056.306 | 1064.799 | 1080.986 |
| 14 | F\\ | D#v/Eb^ | 1046.877 | 1051.062 | 1063.728 | 1099.849 | 1109.552 | 1137.56 | 1146.706 | 1164.139 |
| 15 | Epv/F\\^ | D# | 1121.439 | 1126.138 | 1139.71 | 1178.409 | 1188.806 | 1218.814 | 1228.614 | 1247.292 |
| 16 | Ep | E | 1196.202 | 1201.214 | 1215.69 | 1256.97 | 1268.06 | 1300.0685 | 1310.521 | 1330.445 |
| 17 | F | 1270.965 | 1276.29 | 1291.672 | 1335.53 | 1347.313 | 1381.322 | 1392.429 | 1413.598 | |