User:Moremajorthanmajor/17edIX: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 602492068 - Original comment: ** |
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| (23 intermediate revisions by 5 users not shown) | |||
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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 [[Ragismic microtemperaments #Chlorine|Chlorine]] temperament. | |||
This | == Intervals== | ||
{| class="wikitable" | |||
|+ | |||
!Nonet | |||
!Period | |||
!Notes | |||
|- | |||
|| | |1/1 | ||
| | |''70.588'' | ||
| | |Soft Phrygian mode begins | ||
|| | |- | ||
|| | |25\24 | ||
| | |''73.529'' | ||
| | | | ||
| | |- | ||
| | |24\23 | ||
|| | |73.657 | ||
| | |||
| | |- | ||
| | |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¢ | |||
{| class="wikitable" | |||
! rowspan="3" |Degrees | |||
! colspan="2" rowspan="3" |Octatonic | |||
! colspan="2" |Soft Phrygian | |||
! colspan="4" |Phrygian | |||
|- | |||
! rowspan="2" |Min-Med | |||
! rowspan="2" |Min-Max/Med-Max | |||
! colspan="2" |Thirdtone | |||
! colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
|} | |||
{| class="wikitable" | |||
|- | |||
! rowspan="2" |Degrees | |||
! colspan="4" rowspan="2" |Octatonic | |||
! colspan="2" |Intense Phrygian | |||
! colspan="2" |Intense Phrygian-Soft Aeolian | |||
! colspan="2" |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 | |||
| colspan="2" |A | |||
| colspan="2" |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 | |||
| colspan="2" |B | |||
| colspan="2" |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 | |||
| colspan="2" |C | |||
| colspan="2" |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 | |||
| colspan="2" |D | |||
| colspan="2" |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 | |||
| colspan="2" |F | |||
| colspan="2" |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 | |||
|} | |||
{| class="wikitable" | |||
! rowspan="3" |Degrees | |||
! colspan="2" rowspan="3" |Octatonic | |||
! colspan="4" |Aeolian | |||
! colspan="4" |Intense Aeolian | |||
|- | |||
! colspan="2" |Flattone | |||
! colspan="2" |Meantone | |||
! colspan="2" |Superpyth | |||
! colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |A | |||
|402.448-410.095 | |||
| colspan="2" |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 | |||
| colspan="2" |B | |||
|482.937-492.114 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |C | |||
|885.385-902.209 | |||
| colspan="2" |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 | |||
| colspan="2" |D | |||
|965.875-984.228 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |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 | |||
| colspan="2" |F | |||
|1368.322-1394.322 | |||
| colspan="2" |1373.127-1404.193 | |||
|1380.033-1406.033 | |||
|1396.658-1422.658 | |||
|1400.598-1426.598 | |||
|1409.967-1435.967 | |||
|1414.428-1440.428 | |||
|} | |||
[[Category:edIX]] | |||