User:Moremajorthanmajor/16edX: Difference between revisions
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! rowspan="3" |Degrees | ! rowspan="3" |Degrees | ||
! colspan="3" rowspan="3" |Enneatonic | ! colspan="3" rowspan="3" |Enneatonic | ||
! colspan=" | ! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian | ||
! colspan="9" |Dorian | ! colspan="9" |Dorian | ||
|- | |- | ||
Line 11: | Line 11: | ||
! colspan="3" |Superpental | ! colspan="3" |Superpental | ||
|- | |- | ||
!Min | !Min-comma | ||
! | !Med | ||
!Max+comma | |||
!Min-comma | |||
!Med | |||
!Max+comma | |||
!Min-comma | |||
!Med | |||
!Max+comma | |||
!Min-comma | |||
!Med | |||
!Max+comma | |||
|- | |||
|1 | |||
|1#/2b | |||
|G#/Jb | |||
|''G#/Ab'' | |||
|88.125-90 | |||
|91.071 | |||
| colspan="2" |89.792-93.542 | |||
|92.308 | |||
| colspan="2" |91.875-95.625 | |||
|95 | |||
| colspan="2" |93.5795-97.3295 | |||
|95.833 | |||
|96.429-98.304 | |||
|- | |||
|2 | |||
|2 | |||
|J | |||
|''A'' | |||
|176.25-180 | |||
|182.143 | |||
| colspan="2" |179.583-187.083 | |||
|184.615 | |||
| colspan="2" |183.75-191.25 | |||
|190 | |||
| colspan="2" |187.159-194.659 | |||
|191.667 | |||
|192.857-196.607 | |||
|- | |||
|3 | |||
|2#/3b | |||
|J#/Ab | |||
|''A#/Bb'' | |||
|264.375-270 | |||
|273.214 | |||
| colspan="2" |269.375-280.625 | |||
|276.923 | |||
| colspan="2" |275.625-286.875 | |||
|285 | |||
| colspan="2" |280.739-291.989 | |||
|287.5 | |||
|289.286-294.911 | |||
|- | |||
|4 | |||
|3 | |||
|J | |||
|''B'' | |||
|352.5-360 | |||
|364.286 | |||
| colspan="2" |358.167-373.167 | |||
|369.231 | |||
| colspan="2" |367.5-382.5 | |||
|380 | |||
| colspan="2" |374.318-389.318 | |||
|383.333 | |||
|385.714-393.214 | |||
|- | |||
|5 | |||
|3#/4b | |||
|J#/Ab | |||
|B#/Cb | |||
|440.625-450 | |||
|455.357 | |||
| colspan="2" |448.958-467.708 | |||
|461.5385 | |||
| colspan="2" |459.375-476.125 | |||
|475 | |||
| colspan="2" |467.898-486.648 | |||
|479.167 | |||
|482.143-491.518 | |||
|- | |||
|6 | |||
|4 | |||
|A | |||
|''C'' | |||
|528.75-540 | |||
|546-429 | |||
| colspan="2" |538.75-561.25 | |||
|553.846 | |||
| colspan="2" |551.25-573.75 | |||
|570 | |||
| colspan="2" |561.477-583.977 | |||
|575 | |||
|578.571-589.821 | |||
|- | |||
|7 | |||
|5 | |||
|A#/Bb | |||
|''C#/Qb'' | |||
|616.875-630 | |||
|637.5 | |||
| colspan="2" |628.542-654.792 | |||
|646.154 | |||
| colspan="2" |643.125-669.375 | |||
|665 | |||
| colspan="2" |655.057-681.307 | |||
|670.833 | |||
|675-688.125 | |||
|- | |||
|8 | |||
|5#/6b | |||
|B | |||
|''Q'' | |||
|705-720 | |||
|728.571 | |||
| colspan="2" |718.333-748.333 | |||
|738.4615 | |||
| colspan="2" |735-765 | |||
|760 | |||
| colspan="2" |748.636-778.636 | |||
|766.667 | |||
|771.429-786.429 | |||
|- | |||
|9 | |||
|6 | |||
|C | |||
|''D'' | |||
|793.125-810 | |||
|819.642 | |||
| colspan="2" |808.125-841.875 | |||
|830.769 | |||
| colspan="2" |826.875-860.625 | |||
|855 | |||
| colspan="2" |842.216-875.966 | |||
|862.5 | |||
|867.857-884.732 | |||
|- | |||
|10 | |||
|6#/7b | |||
|C#/Db | |||
|D#/Sb | |||
|881.25-900 | |||
|910.714 | |||
| colspan="2" |897.917-935.417 | |||
|923.071 | |||
| colspan="2" |918.75-956.25 | |||
|950 | |||
| colspan="2" |935.7975-973.2975 | |||
|958.333 | |||
|964.286-983.036 | |||
|- | |||
|11 | |||
|7 | |||
|D | |||
|''S'' | |||
|969.375-990 | |||
|1001.786 | |||
| colspan="2" |987.708-1028.958 | |||
|1015.385 | |||
| colspan="2" |1010.625-1051.875 | |||
|1045 | |||
| colspan="2" |1029.375-1070.605 | |||
|1054.167 | |||
|1060.714-1081.239 | |||
|- | |||
|12 | |||
|7#/8b | |||
|D#/Eb | |||
|''S#/Eb'' | |||
|1057.5-1080 | |||
|1092.857 | |||
| colspan="2" |1077.5-1122.5 | |||
|1107.692 | |||
| colspan="2" |1102.5-1147.5 | |||
|1140 | |||
| colspan="2" |1122.9545-1167.9545 | |||
|1150 | |||
|1157.143-1179.643 | |||
|- | |||
|13 | |||
|8 | |||
| colspan="2" |E | |||
|1145.625-1170 | |||
|1183.929 | |||
| colspan="2" |1167.292-1216.042 | |||
|1200 | |||
| colspan="2" |1194.375-1241.125 | |||
|1235 | |||
| colspan="2" |1216.534-1265.284 | |||
|1245.833 | |||
|1253.571-1277.946 | |||
|- | |||
|14 | |||
|8#/9b | |||
| colspan="2" |E#/Fb | |||
|1233.75-1260 | |||
|1275 | |||
| colspan="2" |1257.083-1309.583 | |||
|1292.308 | |||
| colspan="2" |1286.25-1338.75 | |||
|1330 | |||
| colspan="2" |1310.114-1362.614 | |||
|1341.667 | |||
|1350-1376.25 | |||
|- | |||
|15 | |||
|9 | |||
| colspan="2" |F | |||
|1321.875-1350 | |||
|1366.071 | |||
| colspan="2" |1346.875-1403.125 | |||
|1384.615 | |||
| colspan="2" |1378.125-1434.375 | |||
|1425 | |||
| colspan="2" |1403.693-1459.943 | |||
|1437.5 | |||
|1446.429-1474.554 | |||
|- | |||
|16 | |||
|1 | |||
| colspan="2" |G | |||
|1410-1440 | |||
|1457.143 | |||
| colspan="2" |1436.667-1496.667 | |||
|1476.923 | |||
| colspan="2" |1470-1530 | |||
|1520 | |||
| colspan="2" |1497.273-1557.273 | |||
|1533.333 | |||
|1542.857-1572.857 | |||
|} | |||
{| class="wikitable" style="text-align: center" | |||
! rowspan="2" |Degrees | |||
! colspan="5" rowspan="2" |Enneatonic | |||
! colspan="4" |Mohajira | |||
! colspan="3" |Beatles | |||
|- | |||
!Min-comma | |||
!''r¢'' | !''r¢'' | ||
!Max | !Med | ||
!Min | !Max+comma | ||
! | !Min-comma | ||
!Max | !Med | ||
!Min | !Max+comma | ||
! | |- | ||
!Max | |1 | ||
!Min | |1#/2b | ||
! | | colspan="2" |F#/Gb | ||
!Max | |G#/Jb | ||
|''G#/Ab'' | |||
|94.554-96.429 | |||
| colspan="2" |''96.875'' | |||
| colspan="2" |95.184-98.934 | |||
|97.222 | |||
|97.5-99.375 | |||
|- | |||
|2 | |||
|2 | |||
| colspan="2" |G | |||
|J | |||
|''A'' | |||
|189.107-192.857 | |||
| colspan="2" |''193.75'' | |||
| colspan="2" |190.368-197.868 | |||
|194.444 | |||
|195-198.75 | |||
|- | |||
|3 | |||
|2#/3b | |||
|G#/Jb | |||
|''G#/Ab'' | |||
|J#/Ab | |||
|''A#/Bb'' | |||
|283.661-289.286 | |||
| colspan="2" |''290.625'' | |||
| colspan="2" |285.5515-296.8015 | |||
|291.667 | |||
|292.5-298.125 | |||
|- | |||
|4 | |||
|3 | |||
|J | |||
|''A'' | |||
|J | |||
|''B'' | |||
|378.214-385.714 | |||
| colspan="2" |''387.5'' | |||
| colspan="2" |380.735-395.735 | |||
|388.889 | |||
|390-397.5 | |||
|- | |||
|5 | |||
|3#/4b | |||
|J#/Ab | |||
|''A#/Bb'' | |||
|J#/Ab | |||
|B#/Cb | |||
|472.767-482.143 | |||
| colspan="2" |''484.375'' | |||
| colspan="2" |475.919-494.669 | |||
|486.111 | |||
|487.5-496.875 | |||
|- | |||
|6 | |||
|4 | |||
|A | |||
|''B'' | |||
|A | |||
|''C'' | |||
|567.321-578.571 | |||
| colspan="2" |''581.25'' | |||
| colspan="2" |571.103-593.603 | |||
|583.333 | |||
|585-596.25 | |||
|- | |||
|7 | |||
|5 | |||
|B | |||
|''H'' | |||
|A#/Bb | |||
|''C#/Qb'' | |||
|661.875-675 | |||
| colspan="2" |''678.125'' | |||
| colspan="2" |666.287-692.537 | |||
|680.556 | |||
|682.5-695.625 | |||
|- | |||
|8 | |||
|5#/6b | |||
|B#/Hb | |||
|''H#/Cb'' | |||
|B | |||
|''Q'' | |||
|756.429-771.429 | |||
| colspan="2" |''775'' | |||
| colspan="2" |761.471-791.471 | |||
|777.778 | |||
|780-795 | |||
|- | |||
|9 | |||
|6 | |||
|H | |||
|''C'' | |||
|C | |||
|''D'' | |||
|850.982-867.857 | |||
| colspan="2" |''871.875'' | |||
| colspan="2" |856.654-890.404 | |||
|875 | |||
|877.5-894.375 | |||
|- | |||
|10 | |||
|6#/7b | |||
|H#/Cb | |||
|''C#/Db'' | |||
|C#/Db | |||
|D#/Sb | |||
|945.536-964.286 | |||
| colspan="2" |''968.75'' | |||
| colspan="2" |951.738-989.238 | |||
|972.222 | |||
|975-993.75 | |||
|- | |||
|11 | |||
|7 | |||
|C | |||
|''D'' | |||
|D | |||
|''S'' | |||
|1040.089-1060.714 | |||
| colspan="2" |''1065.625'' | |||
| colspan="2" |1047.022-1088.252 | |||
|1069.444 | |||
|1072.5-1093.125 | |||
|- | |||
|12 | |||
|7#/8b | |||
|C#/Db | |||
|''D#/Sb'' | |||
|D#/Eb | |||
|''S#/Eb'' | |||
|1134.643-1157.143 | |||
| colspan="2" |''1162.5'' | |||
| colspan="2" |1142.203-1187.206 | |||
|1166.667 | |||
|1170-1192.5 | |||
|- | |||
|13 | |||
|8 | |||
|D | |||
|''S'' | |||
| colspan="2" |E | |||
|1229.196-1253.571 | |||
| colspan="2" |''1259.375'' | |||
| colspan="2" |1237.39-1286.14 | |||
|1263.889 | |||
|1267.5-1291.875 | |||
|- | |||
|14 | |||
|8#/9b | |||
|D#/Eb | |||
|''S#/Eb'' | |||
| colspan="2" |E#/Fb | |||
|1323.75-1350 | |||
| colspan="2" |''1356.25'' | |||
| colspan="2" |1332.5735-1385.0735 | |||
|1361.111 | |||
|1365-1391.25 | |||
|- | |||
|15 | |||
|9 | |||
| colspan="2" |E | |||
| colspan="2" |F | |||
|1418.304-1446.429 | |||
| colspan="2" |''1453.125'' | |||
| colspan="2" |1427.757-1484.007 | |||
|1458.333 | |||
|1462.5-1490.625 | |||
|- | |||
|16 | |||
|1 | |||
| colspan="2" |F | |||
| colspan="2" |G | |||
|1512.857-1542.857 | |||
| colspan="2" |''1550'' | |||
| colspan="2" |1522.941-1582.941 | |||
|1555.556 | |||
|1560-1590 | |||
|} | |||
{| class="wikitable" style="text-align: center" | |||
|- | |||
! rowspan="4" |Degrees | |||
! colspan="3" rowspan="4" |Enneatonic | |||
! colspan="12" |Mixolydian | |||
! colspan="3" rowspan="3" |Mixolydian-Ionian | |||
|- | |||
! colspan="3" rowspan="2" |Subpental | |||
! colspan="3" rowspan="2" |Pental | |||
! colspan="6" |Superpental | |||
|- | |||
! colspan="3" |Soft | |||
! colspan="3" |Intense | |||
|- | |||
! width="4%" |Min-comma | |||
!Med | |||
! width="4%" |Max+comma | |||
! width="4%" |Min-comma | |||
!Med | |||
! width="4%" |Max+comma | |||
! width="4%" |Min-comma | |||
!Med | |||
! width="4%" |Max+comma | |||
! width="4%" |Min-comma | |||
!Med | |||
! width="4%" |Max+comma | |||
!Min-comma | |||
!Med | |||
!Max+comma | |||
|- | |||
| |1 | |||
|1#/2b | |||
| colspan="2" |F#/Gb | |||
|95.625-97.5 | |||
|98.077 | |||
| colspan="2" |96.5625-100.3125 | |||
|98.684 | |||
| colspan="2" |98.125-101.875 | |||
|100.781 | |||
| colspan="2" |98.987-102.737 | |||
|102.155 | |||
| colspan="2" |101.573-105.323 | |||
|103.6765 | |||
|105-106.875 | |||
|- | |||
| |2 | |||
|2 | |||
| colspan="2" |G | |||
|191.25-195 | |||
|196.154 | |||
| colspan="2" |193.125-200.625 | |||
|197.368 | |||
| colspan="2" |196.25-203.75 | |||
|201.5625 | |||
| colspan="2" |197.974-205.474 | |||
|204.31 | |||
| colspan="2" |203.147-210.647 | |||
|207.353 | |||
|210-213.75 | |||
|- | |||
| |3 | |||
|2#/3b | |||
|G#/Jb | |||
|''G#/Ab'' | |||
|286.875-292.5 | |||
|294.231 | |||
| colspan="2" |289.6875-300.9375 | |||
|296.053 | |||
| colspan="2" |294.375-305.625 | |||
|302.344 | |||
| colspan="2" |296.961-308.211 | |||
|306.4655 | |||
| colspan="2" |304.72-315.97 | |||
|311.029 | |||
|315-320.625 | |||
|- | |||
| |4 | |||
|3 | |||
|J | |||
|''A'' | |||
|382.5-390 | |||
|392.308 | |||
| colspan="2" |386.25-401.25 | |||
|394.737 | |||
| colspan="2" |392.5-407.5 | |||
|403.125 | |||
| colspan="2" |395.948-410.948 | |||
|408.621 | |||
| colspan="2" |406.293-421.293 | |||
|414.706 | |||
|420-427.5 | |||
|- | |||
| |5 | |||
|3#/4b | |||
|J#/Ab | |||
|''A#/Bb'' | |||
|478.125-487.5 | |||
|490.385 | |||
| colspan="2" |482.8125-501.5625 | |||
|493.421 | |||
| colspan="2" |490.625-509.375 | |||
|503.906 | |||
| colspan="2" |494.935-513.685 | |||
|510.776 | |||
| colspan="2" |507.866-526.616 | |||
|518.382 | |||
|525-534.375 | |||
|- | |||
| |6 | |||
|4 | |||
|A | |||
|''B'' | |||
|573.75-585 | |||
|588.4615 | |||
| colspan="2" |579.375-601.875 | |||
|592.105 | |||
| colspan="2" |588.75-611.25 | |||
|604.6875 | |||
| colspan="2" |593.922-616.422 | |||
|612.931 | |||
| colspan="2" |609.44-631.94 | |||
|622.059 | |||
|630-641.25 | |||
|- | |||
| |7 | |||
|5 | |||
|B | |||
|''H'' | |||
|669.375-682.5 | |||
|686.5385 | |||
| colspan="2" |675.9375-702.1875 | |||
|690.7895 | |||
| colspan="2" |687.875-713.125 | |||
|705.469 | |||
| colspan="2" |692.9095-719.1595 | |||
|715.086 | |||
| colspan="2" |711.012-737.262 | |||
|725.735 | |||
|735-748.125 | |||
|- | |||
|8 | |||
|5#/6b | |||
|B#/Hb | |||
|''H#/Cb'' | |||
|765-780 | |||
|784.615 | |||
| colspan="2" |772.5-802.5 | |||
|789.474 | |||
| colspan="2" |785-815 | |||
|806.25 | |||
| colspan="2" |791.897-821.897 | |||
|817.241 | |||
| colspan="2" |812.586-842.586 | |||
|829.412 | |||
|840-855 | |||
|- | |||
|9 | |||
|6 | |||
|H | |||
|''C'' | |||
|860.625-877.5 | |||
|882.962 | |||
| colspan="2" |869.0625-903.8125 | |||
|888.158 | |||
| colspan="2" |883.125-916.875 | |||
|907.031 | |||
| colspan="2" |890.884-924.624 | |||
|919.397 | |||
| colspan="2" |914.1595-947.9095 | |||
|933.088 | |||
|945-961.875 | |||
|- | |||
|10 | |||
|6#/7b | |||
|H#/Cb | |||
|''C#/Db'' | |||
|956.25-975 | |||
|980.769 | |||
| colspan="2" |965.625-1003.125 | |||
|986.842 | |||
| colspan="2" |981.25-1018.75 | |||
|1007.8125 | |||
| colspan="2" |989.871-1027.371 | |||
|1021.552 | |||
| colspan="2" |1015.733-1053.233 | |||
|1036.765 | |||
|1050-1068.75 | |||
|- | |||
|11 | |||
|7 | |||
|C | |||
|''D'' | |||
|1051.875-1072.5 | |||
|1078.846 | |||
| colspan="2" |1062.1875-1103.4375 | |||
|1085.526 | |||
| colspan="2" |1079.375-1120.625 | |||
|1108.594 | |||
| colspan="2" |1088.858-1130.108 | |||
|1123.707 | |||
| colspan="2" |117.306-1158.556 | |||
|1140.441 | |||
|1155-1175.625 | |||
|- | |||
|12 | |||
|7#/8b | |||
|C#/Db | |||
|''D#/Sb'' | |||
|1147.5-1170 | |||
|1176.923 | |||
| colspan="2" |1158.75-1203.75 | |||
|1184.2105 | |||
| colspan="2" |1177.5-1222.5 | |||
|1209.375 | |||
| colspan="2" |1187.845-1232.845 | |||
|1225.862 | |||
| colspan="2" |1218.879-1263.879 | |||
|1244.118 | |||
|1260-1282.5 | |||
|- | |||
|13 | |||
|8 | |||
|D | |||
|''S'' | |||
|1243.125-1267.5 | |||
|1275 | |||
| colspan="2" |1255.3125-1304.0625 | |||
|1282.895 | |||
| colspan="2" |1275.625-1324.325 | |||
|1310.156 | |||
| colspan="2" |1286.832-1335.585 | |||
|1328.017 | |||
| colspan="2" |1320.453-1369.203 | |||
|1347.794 | |||
|1365-1389.375 | |||
|- | |||
|14 | |||
|8#/9b | |||
|D#/Eb | |||
|''S#/Eb'' | |||
|1338.25-1365 | |||
|1373.077 | |||
| colspan="2" |1351.875-1404.375 | |||
|1381.579 | |||
| colspan="2" |1373.75-1426.25 | |||
|1410.9375 | |||
| colspan="2" |1385.819-1438.319 | |||
|1430.172 | |||
| colspan="2" |1422.026-1474.526 | |||
|1451.471 | |||
|1470-1496.25 | |||
|- | |||
|15 | |||
|9 | |||
| colspan="2" |E | |||
|1434.375-1462.5 | |||
|1471.154 | |||
| colspan="2" |1448.4375-1504.6875 | |||
|1480.263 | |||
| colspan="2" |1471.875-1528.125 | |||
|1511.719 | |||
| colspan="2" |1484.806-1541.056 | |||
|1532.328 | |||
| colspan="2" |1523.599-1579.849 | |||
|1555.147 | |||
|1575-1603.125 | |||
|- | |||
|16 | |||
|1 | |||
| colspan="2" |F | |||
|1530-1560 | |||
|1569.231 | |||
| colspan="2" |1545-1605 | |||
|1578.947 | |||
| colspan="2" |1570-1630 | |||
|1612.5 | |||
| colspan="2" |1583.793-1643.793. | |||
|1634.483 | |||
| colspan="2" |1625.172-1685.172 | |||
|1658.8235 | |||
|1680-1710 | |||
|}Relative cents | |||
{| class="wikitable" style="text-align: center" | |||
!Degrees | |||
! colspan="3" |Enneatonic | |||
!Intense Aeolian-Subpental Dorian | |||
!Dorian | |||
|- | |||
|1 | |||
|1#/2b | |||
|G#/Jb | |||
|''G#/Ab'' | |||
|90.625 | |||
|''93.75'' | |||
|- | |||
|2 | |||
|2 | |||
|J | |||
|''A'' | |||
|181.25 | |||
|''187.5'' | |||
|- | |||
|3 | |||
|2#/3b | |||
|J#/Ab | |||
|''A#/Bb'' | |||
|271.875 | |||
|''281.25'' | |||
|- | |||
|4 | |||
|3 | |||
|J | |||
|''B'' | |||
|362.5 | |||
|''375'' | |||
|- | |||
|5 | |||
|3#/4b | |||
|J#/Ab | |||
|B#/Cb | |||
|453.125 | |||
|''468.75'' | |||
|- | |||
|6 | |||
|4 | |||
|A | |||
|''C'' | |||
|543.75 | |||
|''562.5'' | |||
|- | |||
|7 | |||
|5 | |||
|A#/Bb | |||
|''C#/Qb'' | |||
|633.375 | |||
|''656.25'' | |||
|- | |||
|8 | |||
|5#/6b | |||
|B | |||
|''Q'' | |||
|725 | |||
|''750'' | |||
|- | |||
|9 | |||
|6 | |||
|C | |||
|''D'' | |||
|815.625 | |||
|''843.75'' | |||
|- | |||
|10 | |||
|6#/7b | |||
|C#/Db | |||
|D#/Sb | |||
|906.25 | |||
|''937.5'' | |||
|- | |||
|11 | |||
|7 | |||
|D | |||
|''S'' | |||
|996.875 | |||
|''1031.25'' | |||
|- | |||
|12 | |||
|7#/8b | |||
|D#/Eb | |||
|''S#/Eb'' | |||
|1087.5 | |||
|''1125'' | |||
|- | |||
|13 | |||
|8 | |||
| colspan="2" |E | |||
|1178.125 | |||
|''1218.75'' | |||
|- | |||
|14 | |||
|8#/9b | |||
| colspan="2" |E#/Fb | |||
|1268.75 | |||
|''1312.5'' | |||
|- | |||
|15 | |||
|9 | |||
| colspan="2" |F | |||
|1359.375 | |||
|''1406.25'' | |||
|- | |||
|16 | |||
|1 | |||
| colspan="2" |G | |||
|1450 | |||
|''1500'' | |||
|} | |||
{| class="wikitable" style="text-align: center" | |||
!Degrees | |||
! colspan="3" |Enneatonic | |||
!Subpental-Soft Superpental Mixolydian | |||
!Intense Superpental Mixolydian ~ Mixolydian-Ionian | |||
|- | |||
| |1 | |||
|1#/2b | |||
| colspan="2" |F#/Gb | |||
|''100'' | |||
|''103.125'' | |||
|- | |||
| |2 | |||
|2 | |||
| colspan="2" |G | |||
|''200'' | |||
|''206.25'' | |||
|- | |||
| |3 | |||
|2#/3b | |||
|G#/Jb | |||
|''G#/Ab'' | |||
|''300'' | |||
|''309.375'' | |||
|- | |||
| |4 | |||
|3 | |||
|J | |||
|''A'' | |||
|''400'' | |||
|''412.5'' | |||
|- | |||
| |5 | |||
|3#/4b | |||
|J#/Ab | |||
|''A#/Bb'' | |||
|''500'' | |||
|''515.625'' | |||
|- | |||
| |6 | |||
|4 | |||
|A | |||
|''B'' | |||
|''600'' | |||
|''618.75'' | |||
|- | |||
| |7 | |||
|5 | |||
|B | |||
|''H'' | |||
|''700'' | |||
|''721.875'' | |||
|- | |||
|8 | |||
|5#/6b | |||
|B#/Hb | |||
|''H#/Cb'' | |||
|''800'' | |||
|''825'' | |||
|- | |||
|9 | |||
|6 | |||
|H | |||
|''C'' | |||
|''900'' | |||
|''928.125'' | |||
|- | |||
|10 | |||
|6#/7b | |||
|H#/Cb | |||
|''C#/Db'' | |||
|''1000'' | |||
|''1031.25'' | |||
|- | |||
|11 | |||
|7 | |||
|C | |||
|''D'' | |||
|''1100'' | |||
|''1134.375'' | |||
|- | |||
|12 | |||
|7#/8b | |||
|C#/Db | |||
|''D#/Sb'' | |||
|''1200'' | |||
|''1237.5'' | |||
|- | |||
|13 | |||
|8 | |||
|D | |||
|''S'' | |||
|''1300'' | |||
|''1340.625'' | |||
|- | |||
|14 | |||
|8#/9b | |||
|D#/Eb | |||
|''S#/Eb'' | |||
|''1400'' | |||
|''1443.75'' | |||
|- | |||
|15 | |||
|9 | |||
| colspan="2" |E | |||
|''1500'' | |||
|''1546.875'' | |||
|- | |||
|16 | |||
|1 | |||
| colspan="2" |F | |||
|''1600'' | |||
|''1650'' | |||
|}Golden/Pyrite Tunings±13¢ | |||
{| class="wikitable" style="text-align: center" | |||
! rowspan="2" |Degrees | |||
! colspan="3" rowspan="2" |Enneatonic | |||
! rowspan="2" |Intense Aeolian-Subpental Dorian | |||
! colspan="3" |Dorian | |||
|- | |||
!Subpental | |||
!Pental | |||
!Superpental | |||
|- | |- | ||
|1 | |1 | ||
Line 29: | Line 966: | ||
|G#/Jb | |G#/Jb | ||
|''G#/Ab'' | |''G#/Ab'' | ||
|90.428-92.053 | |90.428-92.053 | ||
|91.303-92.928 | |91.303-92.928 | ||
|94.329-95.943 | |94.329-95.943 | ||
|94.917-96.542 | |94.917-96.542 | ||
|- | |- | ||
|2 | |2 | ||
Line 44: | Line 975: | ||
|J | |J | ||
|''A'' | |''A'' | ||
|180.856-184.106 | |180.856-184.106 | ||
|182.606-185.856 | |182.606-185.856 | ||
|188.2585-191.9085 | |188.2585-191.9085 | ||
|189.834-193.084 | |189.834-193.084 | ||
|- | |- | ||
|3 | |3 | ||
Line 59: | Line 984: | ||
|J#/Ab | |J#/Ab | ||
|''A#/Bb'' | |''A#/Bb'' | ||
|271.2845-276.159 | |271.2845-276.159 | ||
|273.909-278.784 | |273.909-278.784 | ||
|282.988-287.863 | |282.988-287.863 | ||
|284.751-289.626 | |284.751-289.626 | ||
|- | |- | ||
|4 | |4 | ||
Line 74: | Line 993: | ||
|J | |J | ||
|''B'' | |''B'' | ||
|361.712-368.213 | |361.712-368.213 | ||
|365.212-371.712 | |365.212-371.712 | ||
|377.317-383.817 | |377.317-383.817 | ||
|379.668-386.168 | |379.668-386.168 | ||
|- | |- | ||
|5 | |5 | ||
Line 89: | Line 1,002: | ||
|J#/Ab | |J#/Ab | ||
|B#/Cb | |B#/Cb | ||
|452.141-460.266 | |452.141-460.266 | ||
|456.5155-464.6405 | |456.5155-464.6405 | ||
|471.646-479.771 | |471.646-479.771 | ||
|474.585-482.71 | |474.585-482.71 | ||
|- | |- | ||
|6 | |6 | ||
Line 104: | Line 1,011: | ||
|A | |A | ||
|''C'' | |''C'' | ||
|542.569-552.319 | |542.569-552.319 | ||
|547.819-557.569 | |547.819-557.569 | ||
|565.974-575.726 | |565.974-575.726 | ||
|569.502-579.252 | |569.502-579.252 | ||
|- | |- | ||
|7 | |7 | ||
Line 119: | Line 1,020: | ||
|A#/Bb | |A#/Bb | ||
|''C#/Qb'' | |''C#/Qb'' | ||
|632.997-644.372 | |632.997-644.372 | ||
|639.122-650.497 | |639.122-650.497 | ||
|660.305-671.68 | |660.305-671.68 | ||
|664.419-675.794 | |664.419-675.794 | ||
|- | |- | ||
|8 | |8 | ||
Line 134: | Line 1,029: | ||
|B | |B | ||
|''Q'' | |''Q'' | ||
|723.425-736.425 | |723.425-736.425 | ||
|730.425-743.425 | |730.425-743.425 | ||
|754.634-767.634 | |754.634-767.634 | ||
|759.336-771.336 | |759.336-771.336 | ||
|- | |- | ||
|9 | |9 | ||
Line 149: | Line 1,038: | ||
|C | |C | ||
|''D'' | |''D'' | ||
|813.854-828.479 | |813.854-828.479 | ||
|821.728-836.353 | |821.728-836.353 | ||
|848.963-863.588 | |848.963-863.588 | ||
|854.253-868.878 | |854.253-868.878 | ||
|- | |- | ||
|10 | |10 | ||
Line 164: | Line 1,047: | ||
|C#/Db | |C#/Db | ||
|D#/Sb | |D#/Sb | ||
|904.282-920.532 | |904.282-920.532 | ||
|913.031-920.281 | |913.031-920.281 | ||
|943.293-959.543 | |943.293-959.543 | ||
|949.17-965.42 | |949.17-965.42 | ||
|- | |- | ||
|11 | |11 | ||
Line 179: | Line 1,056: | ||
|D | |D | ||
|''S'' | |''S'' | ||
|994.71-1012.585 | |994.71-1012.585 | ||
|1004.334-1022.209 | |1004.334-1022.209 | ||
|1037.622-1055.497 | |1037.622-1055.497 | ||
|1044.087-1061.962 | |1044.087-1061.962 | ||
|- | |- | ||
|12 | |12 | ||
Line 194: | Line 1,065: | ||
|D#/Eb | |D#/Eb | ||
|''S#/Eb'' | |''S#/Eb'' | ||
|1085.138-1104.638 | |1085.138-1104.638 | ||
|1095.637-1115.137 | |1095.637-1115.137 | ||
|1131.951-1151.451 | |1131.951-1151.451 | ||
|1139.004-1158.503 | |1139.004-1158.503 | ||
|- | |- | ||
|13 | |13 | ||
|8 | |8 | ||
| colspan="2" |E | | colspan="2" |E | ||
|1175.566-1106.691 | |1175.566-1106.691 | ||
|1186.94-1208.065 | |1186.94-1208.065 | ||
|1226.38-1247.405 | |1226.38-1247.405 | ||
|1233.921-1255.046 | |1233.921-1255.046 | ||
|- | |- | ||
|14 | |14 | ||
|8#/9b | |8#/9b | ||
| colspan="2" |E#/Fb | | colspan="2" |E#/Fb | ||
|1265.9945-1288.7445 | |1265.9945-1288.7445 | ||
|1278.2435-1300.9935 | |1278.2435-1300.9935 | ||
|1320.61-1343.36 | |1320.61-1343.36 | ||
|1328.838-1351.588 | |1328.838-1351.588 | ||
|- | |- | ||
|15 | |15 | ||
|9 | |9 | ||
| colspan="2" |F | | colspan="2" |F | ||
|1356.423-1380.798 | |1356.423-1380.798 | ||
|1369.547-1393.922 | |1369.547-1393.922 | ||
|1414.939-1439.314 | |1414.939-1439.314 | ||
|1423.755-1448.13 | |1423.755-1448.13 | ||
|- | |- | ||
|16 | |16 | ||
|1 | |1 | ||
| colspan="2" |G | | colspan="2" |G | ||
|1446.851-1472.851 | |1446.851-1472.851 | ||
|1460.85-1486.85 | |1460.85-1486.85 | ||
|1509.268-1535.268 | |1509.268-1535.268 | ||
|1518.672-1544.672 | |1518.672-1544.672 | ||
|} | |} | ||
{| class="wikitable" style="text-align: center" | {| class="wikitable" style="text-align: center" | ||
!Degrees | !Degrees | ||
! colspan="5" |Enneatonic | ! colspan="5" |Enneatonic | ||
! | !Mohajira | ||
! | !Beatles | ||
|- | |- | ||
|1 | |1 | ||
Line 274: | Line 1,113: | ||
|G#/Jb | |G#/Jb | ||
|''G#/Ab'' | |''G#/Ab'' | ||
|96. | |96.1185-97.7435 | ||
|96.364-97.989 | |||
| | |||
|- | |- | ||
|2 | |2 | ||
Line 284: | Line 1,121: | ||
|J | |J | ||
|''A'' | |''A'' | ||
|192. | |192.237-195.487 | ||
|192.728-195.978 | |192.728-195.978 | ||
|- | |- | ||
|3 | |3 | ||
Line 295: | Line 1,130: | ||
|J#/Ab | |J#/Ab | ||
|''A#/Bb'' | |''A#/Bb'' | ||
| | |288.355-293.23 | ||
|289.092-293. | |289.092-293.965 | ||
|- | |- | ||
|4 | |4 | ||
Line 306: | Line 1,139: | ||
|J | |J | ||
|''B'' | |''B'' | ||
| | |384.474-390.974 | ||
|385.456-391.956 | |385.456-391.956 | ||
|- | |- | ||
|5 | |5 | ||
Line 317: | Line 1,148: | ||
|J#/Ab | |J#/Ab | ||
|B#/Cb | |B#/Cb | ||
| | |480.592-488.717 | ||
|481.82-489.945 | |481.82-489.945 | ||
|- | |- | ||
|6 | |6 | ||
Line 328: | Line 1,157: | ||
|A | |A | ||
|''C'' | |''C'' | ||
| | |576.711-585.961 | ||
|578.184-587.934 | |578.184-587.934 | ||
|- | |- | ||
|7 | |7 | ||
Line 339: | Line 1,166: | ||
|A#/Bb | |A#/Bb | ||
|''C#/Qb'' | |''C#/Qb'' | ||
| | |672.829-684.454 | ||
|674.548-685.923 | |674.548-685.923 | ||
|- | |- | ||
|8 | |8 | ||
Line 350: | Line 1,175: | ||
|B | |B | ||
|''Q'' | |''Q'' | ||
| | |768.948-781.948 | ||
|770.912-783.912 | |770.912-783.912 | ||
|- | |- | ||
|9 | |9 | ||
Line 361: | Line 1,184: | ||
|C | |C | ||
|''D'' | |''D'' | ||
| | |865.066-879.691 | ||
|867. | |867.276-881.901 | ||
|- | |- | ||
|10 | |10 | ||
Line 372: | Line 1,193: | ||
|C#/Db | |C#/Db | ||
|D#/Sb | |D#/Sb | ||
| | |961.185-977.435 | ||
|963. | |963.6395-979.8895 | ||
|- | |- | ||
|11 | |11 | ||
Line 383: | Line 1,202: | ||
|D | |D | ||
|''S'' | |''S'' | ||
| | |1057.303-1075.178 | ||
|1060.0035- | |1060.0035-1077.8785 | ||
|- | |- | ||
|12 | |12 | ||
Line 394: | Line 1,211: | ||
|D#/Eb | |D#/Eb | ||
|''S#/Eb'' | |''S#/Eb'' | ||
| | |1153.422-1172.921 | ||
|1156.367-1175.867 | |1156.367-1175.867 | ||
|- | |- | ||
|13 | |13 | ||
Line 404: | Line 1,219: | ||
|''S'' | |''S'' | ||
| colspan="2" |E | | colspan="2" |E | ||
| | |1249.54-1270.665 | ||
|1252.731-1273.856 | |1252.731-1273.856 | ||
|- | |- | ||
|14 | |14 | ||
Line 414: | Line 1,227: | ||
|''S#/Eb'' | |''S#/Eb'' | ||
| colspan="2" |E#/Fb | | colspan="2" |E#/Fb | ||
| | |1345.659-1368.409 | ||
|1349.095- | |1349.095-1372.345 | ||
|- | |- | ||
|15 | |15 | ||
Line 423: | Line 1,234: | ||
| colspan="2" |E | | colspan="2" |E | ||
| colspan="2" |F | | colspan="2" |F | ||
| | |1441.777-1366.152 | ||
|1445.459-1469.834 | |1445.459-1469.834 | ||
|- | |- | ||
|16 | |16 | ||
Line 432: | Line 1,241: | ||
| colspan="2" |F | | colspan="2" |F | ||
| colspan="2" |G | | colspan="2" |G | ||
| | |1537.8955-1563.8955 | ||
|1541.823- | |1541.823-1577.823 | ||
|} | |} | ||
{| class="wikitable" style="text-align: center" | {| class="wikitable" style="text-align: center" | ||
|- | |- | ||
! rowspan=" | ! rowspan="3" |Degrees | ||
! colspan="3" rowspan=" | ! colspan="3" rowspan="3" |Enneatonic | ||
! colspan=" | ! colspan="4" |Mixolydian | ||
! | ! rowspan="3" |Mixolydian-Ionian | ||
|- | |- | ||
! | ! rowspan="2" |Subpental | ||
! colspan=" | ! rowspan="2" |Pental | ||
! colspan="2" |Superpental | |||
|- | |- | ||
! | !Soft | ||
! | !Intense | ||
|- | |- | ||
|1 | |||
|1#/2b | |1#/2b | ||
| colspan="2" |F#/Gb | | colspan="2" |F#/Gb | ||
|97.364-98.989 | |97.364-98.989 | ||
|97.787-99.412 | |97.787-99.412 | ||
|99.998-101.623 | |99.998-101.623 | ||
|101.648-103.273 | |101.648-103.273 | ||
|102.785-104.41 | |102.785-104.41 | ||
|- | |- | ||
| |2 | | |2 | ||
|2 | |2 | ||
| colspan="2" |G | | colspan="2" |G | ||
|194.7275-197.9775 | |194.7275-197.9775 | ||
|195.5745-198.8245 | |195.5745-198.8245 | ||
|199.9955-203.2455 | |199.9955-203.2455 | ||
|203.296-206.546 | |203.296-206.546 | ||
|205.57-208.82 | |205.57-208.82 | ||
|- | |- | ||
|3 | |||
|2#/3b | |2#/3b | ||
|G#/Jb | |G#/Jb | ||
|''G#/Ab'' | |''G#/Ab'' | ||
|292.091-296.966 | |292.091-296.966 | ||
|293.362-298.237 | |293.362-298.237 | ||
|299.993-304.868 | |299.993-304.868 | ||
|304.944-309.819 | |304.944-309.819 | ||
|308.356-313.231 | |308.356-313.231 | ||
|- | |- | ||
| |4 | | |4 | ||
Line 521: | Line 1,290: | ||
|J | |J | ||
|''A'' | |''A'' | ||
|389.455-395.955 | |389.455-395.955 | ||
|391.149-397.649 | |391.149-397.649 | ||
|399.991-406.491 | |399.991-406.491 | ||
|406.592-413.092 | |406.592-413.092 | ||
|411.141-417.641 | |411.141-417.641 | ||
|- | |- | ||
|5 | |||
|3#/4b | |3#/4b | ||
|J#/Ab | |J#/Ab | ||
|''A#/Bb'' | |''A#/Bb'' | ||
|486.819-494.944 | |486.819-494.944 | ||
|488.936-497.061 | |488.936-497.061 | ||
|499.989-508.114 | |499.989-508.114 | ||
|508.24-516.365 | |508.24-516.365 | ||
|513.926-522.051 | |513.926-522.051 | ||
|- | |- | ||
| |6 | | |6 | ||
Line 555: | Line 1,310: | ||
|A | |A | ||
|''B'' | |''B'' | ||
|584.183-593.933 | |584.183-593.933 | ||
|586.724-596.474 | |586.724-596.474 | ||
|599.987-609.737 | |599.987-609.737 | ||
|609.888-619.638 | |609.888-619.638 | ||
|616.711-626.461 | |616.711-626.461 | ||
|- | |- | ||
|7 | |||
|5 | |5 | ||
|B | |B | ||
|''H'' | |''H'' | ||
|681.546-692.921 | |681.546-692.921 | ||
|684.571-695.886 | |684.571-695.886 | ||
|699.984-711.359 | |699.984-711.359 | ||
|711.5355-722.9105 | |711.5355-722.9105 | ||
|719.496-730.871 | |719.496-730.871 | ||
|- | |- | ||
|8 | |8 | ||
Line 589: | Line 1,330: | ||
|B#/Hb | |B#/Hb | ||
|''H#/Cb'' | |''H#/Cb'' | ||
|778.91-791.91 | |778.91-791.91 | ||
|782.298-795.298. | |782.298-795.298. | ||
|799.982-812.982 | |799.982-812.982 | ||
|813.1835-826.1835 | |813.1835-826.1835 | ||
|822.282-835.282 | |822.282-835.282 | ||
|- | |- | ||
|9 | |9 | ||
Line 606: | Line 1,340: | ||
|H | |H | ||
|''C'' | |''C'' | ||
|876.274-890.899 | |876.274-890.899 | ||
|880.085-894.71 | |880.085-894.71 | ||
|899.98-914.605 | |899.98-914.605 | ||
|914.831-929.456 | |914.831-929.456 | ||
|925.067-939.692 | |925.067-939.692 | ||
|- | |- | ||
|10 | |10 | ||
Line 623: | Line 1,350: | ||
|H#/Cb | |H#/Cb | ||
|''C#/Db'' | |''C#/Db'' | ||
|973.638-989.888 | |973.638-989.888 | ||
|977.873-994.123 | |977.873-994.123 | ||
|999.978-1016.238 | |999.978-1016.238 | ||
|1016.479-1032.729 | |1016.479-1032.729 | ||
|1027.852-1044.102 | |1027.852-1044.102 | ||
|- | |- | ||
|11 | |11 | ||
Line 640: | Line 1,360: | ||
|C | |C | ||
|''D'' | |''D'' | ||
|1071.0015-1088.8765 | |1071.0015-1088.8765 | ||
|1075.66-1093.535 | |1075.66-1093.535 | ||
|1099.975-1117.85 | |1099.975-1117.85 | ||
|1118.127-1136.002 | |1118.127-1136.002 | ||
|1130.637-1148.512 | |1130.637-1148.512 | ||
|- | |- | ||
|12 | |12 | ||
Line 657: | Line 1,370: | ||
|C#/Db | |C#/Db | ||
|''D#/Sb'' | |''D#/Sb'' | ||
|1168.365-1187.865 | |1168.365-1187.865 | ||
|1173.447-1192.947 | |1173.447-1192.947 | ||
|1199.973-1219.473 | |1199.973-1219.473 | ||
|1219.775-1239.275 | |1219.775-1239.275 | ||
|1233.422-1252.922 | |1233.422-1252.922 | ||
|- | |- | ||
|13 | |13 | ||
Line 674: | Line 1,380: | ||
|D | |D | ||
|''S'' | |''S'' | ||
|1265.729-1286.854 | |1265.729-1286.854 | ||
|1271.234-1292.359 | |1271.234-1292.359 | ||
|1299.971-1321.096 | |1299.971-1321.096 | ||
|1321.423-1342.548 | |1321.423-1342.548 | ||
|1336.208-1357.333 | |1336.208-1357.333 | ||
|- | |- | ||
|14 | |14 | ||
Line 691: | Line 1,390: | ||
|D#/Eb | |D#/Eb | ||
|''S#/Eb'' | |''S#/Eb'' | ||
|1363.093-1385.843 | |1363.093-1385.843 | ||
|1369.022-1391.772 | |1369.022-1391.772 | ||
|1399.968-1422.719 | |1399.968-1422.719 | ||
|1423.071-1445.821 | |1423.071-1445.821 | ||
|1438.993-1461.743 | |1438.993-1461.743 | ||
|- | |- | ||
|15 | |15 | ||
|9 | |9 | ||
| colspan="2" |E | | colspan="2" |E | ||
|1460.457-1484.832 | |1460.457-1484.832 | ||
|1455.809-1491.184 | |1455.809-1491.184 | ||
|1499.9665-1524.3415 | |1499.9665-1524.3415 | ||
|1524.719-1549.094 | |1524.719-1549.094 | ||
|1541.778-1566.153 | |1541.778-1566.153 | ||
|- | |- | ||
|16 | |16 | ||
|1 | |1 | ||
| colspan="2" |F | | colspan="2" |F | ||
|1557.82-1583.82 | |1557.82-1583.82 | ||
|1564.596-1590.596 | |1564.596-1590.596 | ||
|1599.964-1625.964 | |1599.964-1625.964 | ||
|1626.366-1652.366 | |1626.366-1652.366 | ||
|1644.563-1670.563 | |1644.563-1670.563 | ||
|}By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.686 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo or almost exactly the Golden Subpental Mixolydian step or every ninth step of [[110edo]], and tuning 4:3 pure creates an almost exact 43/74edo fifth. Also, the Golden Soft Superpental Mixolydian step is almost exactly (25/24)^(10/7) and tuning 12:7 pure creates almost exactly the Golden Mixolydian-Ionian step. | |}By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.686 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo or almost exactly the Golden Subpental Mixolydian step or every ninth step of [[110edo]], and tuning 4:3 pure creates an almost exact 43/74edo fifth. Also, the Golden Soft Superpental Mixolydian step is almost exactly (25/24)^(10/7) and tuning 12:7 pure creates almost exactly the Golden Mixolydian-Ionian step. | ||
[[Category:16-tone]] | [[Category:16-tone]] |