User:Moremajorthanmajor/9edX: Difference between revisions
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{| class="wikitable" style="text-align: center" | {| class="wikitable" style="text-align: center" | ||
! rowspan="3" |Degrees | ! rowspan="3" |Degrees | ||
! colspan=" | ! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian | ||
! colspan="9" |Dorian | ! colspan="9" |Dorian | ||
|- | |- | ||
| Line 10: | Line 10: | ||
! 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 | |||
|156.667-160 | |||
|161.905 | |||
| colspan="2" |159.63-166.297 | |||
|164.103 | |||
| colspan="2" |163.333-170 | |||
|168.889 | |||
| colspan="2" |166.364-173.03 | |||
|170.37 | |||
|168.095-171.429 | |||
|- | |||
|2 | |||
|313.333-320 | |||
|323.8095 | |||
| colspan="2" |319.26-333.593 | |||
|328.205 | |||
| colspan="2" |326.667-340 | |||
|337.778 | |||
| colspan="2" |332.727-346.06 | |||
|340.741 | |||
|336.19-342.857 | |||
|- | |||
|3 | |||
|470-480 | |||
|485.714 | |||
| colspan="2" |478.889-498.889 | |||
|492.308 | |||
| colspan="2" |490-510 | |||
|506.667 | |||
| colspan="2" |499.091-519.091 | |||
|511.111 | |||
|504.286-514.286 | |||
|- | |||
|4 | |||
|626.666-640 | |||
|647.619 | |||
| colspan="2" |638.5185-665.185 | |||
|656.41 | |||
| colspan="2" |653.333-680 | |||
|675.556 | |||
| colspan="2" |665.4545-682.121 | |||
|681.4815 | |||
|672.381-685.714 | |||
|- | |||
|5 | |||
|783.333-800 | |||
|809.524 | |||
| colspan="2" |798.148-831.4815 | |||
|820.512 | |||
| colspan="2" |816.667-850 | |||
|844.444 | |||
| colspan="2" |831.818-851.1515 | |||
|851.852 | |||
|843.476-857.143 | |||
|- | |||
|6 | |||
|940-960 | |||
|971.429 | |||
| colspan="2" |957.778-997.778 | |||
|984.615 | |||
| colspan="2" |980-1020 | |||
|1013.333 | |||
| colspan="2" |998.182-1038.182 | |||
|1022.222 | |||
|1008.571-1028.571 | |||
|- | |||
|7 | |||
|1096.667-1120 | |||
|1133.333 | |||
| colspan="2" |1117.407-1164.074 | |||
|1148.718 | |||
| colspan="2" |1143.333-1190 | |||
|1182.222 | |||
| colspan="2" |1164.5455-1211.212 | |||
|1192.593 | |||
|1176.667-1200 | |||
|- | |||
|8 | |||
|1253.333-1280 | |||
|1295.238 | |||
| colspan="2" |1277.037-1310.33 | |||
|1312.8205 | |||
| colspan="2" |1306.667-1360 | |||
|1351.111 | |||
| colspan="2" |1330.909-1384.242 | |||
|1362.963 | |||
|1334.762-1371.429 | |||
|} | |||
{| class="wikitable" style="text-align: center" | |||
! rowspan="2" |Degrees | |||
! 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 | |171.429-174.762 | ||
! | | colspan="2" |''172.222'' | ||
!Max | | colspan="2" |169.216-175.883 | ||
|172.8395 | |||
|173.333-176.667 | |||
|- | |||
|2 | |||
|342.857-349.524 | |||
| colspan="2" |''344.444'' | |||
| colspan="2" |338.431-351.765 | |||
|345.679 | |||
|346.667-353.333 | |||
|- | |||
|3 | |||
|514.286-524.286 | |||
| colspan="2" |''516.667'' | |||
| colspan="2" |507.647-527.647 | |||
|518.5185 | |||
|520-530 | |||
|- | |||
|4 | |||
|685.714-699.048 | |||
| colspan="2" |''688.889'' | |||
| colspan="2" |676.863-703.529 | |||
|691.358 | |||
|693.333-706.667 | |||
|- | |||
|5 | |||
|857.143-873.81 | |||
| colspan="2" |''861.111'' | |||
| colspan="2" |846.078-879.412 | |||
|864.1975 | |||
|866.667-883.333 | |||
|- | |||
|6 | |||
|1028.571-1048.571 | |||
| colspan="2" |''1033.333'' | |||
| colspan="2" |1015.294-1055.294 | |||
|1037.037 | |||
|1040-1060 | |||
|- | |||
|7 | |||
|1200-1223.333 | |||
| colspan="2" |''1205.556'' | |||
| colspan="2" |1184.51-1231.1765 | |||
|1209.8765 | |||
|1213.333-1236.667 | |||
|- | |||
|8 | |||
|1371.429-1398.095 | |||
| colspan="2" |''1377.778'' | |||
| colspan="2" |1353.7255-1407.059 | |||
|1382.716 | |||
|1386.667-1413.333 | |||
|} | |||
{| class="wikitable" | |||
|- | |||
! rowspan="4" |Degrees | |||
! 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 | |||
|- | |||
!Min-comma | |||
!Med | |||
!Max+comma | |||
! |Min-comma | |||
!Med | |||
!Max+comma | |||
!Min-comma | |||
!Med | |||
!Max+comma | |||
!Min-comma | |||
!Med | |||
!Max+comma | |||
!Min-comma | |||
!Med | |||
! |Max+comma | |||
|- | |||
| |1 | |||
|170-173.333 | |||
|174.359 | |||
| colspan="2" |171.667-178.333 | |||
|175.439 | |||
| colspan="2" |174.444-181.111 | |||
|179.167 | |||
| colspan="2" |157.977-182.644 | |||
|181.609 | |||
| colspan="2" |180.575-187.241 | |||
|184.314 | |||
| |186.667-190 | |||
|- | |||
| |2 | |||
|340-346.667 | |||
|348.718 | |||
| colspan="2" |343.333-356.667 | |||
|350.877 | |||
| colspan="2" |348.889-362.222 | |||
|358.333 | |||
| colspan="2" |355.954-365.287 | |||
|363.218 | |||
| colspan="2" |361.149-374.483 | |||
|368.6275 | |||
| |373.333-380 | |||
|- | |||
| |3 | |||
|510-520 | |||
|523.077 | |||
| colspan="2" |515-535 | |||
|526.316 | |||
| colspan="2" |523.333-543.333 | |||
|537.5 | |||
| colspan="2" |527.931-547.931 | |||
|544.828 | |||
| colspan="2" |541.724-561.724 | |||
|552.941 | |||
| |560-570 | |||
|- | |||
| |4 | |||
|680-693.333 | |||
|697.436 | |||
| colspan="2" |686.667-713.333 | |||
|701.754 | |||
| colspan="2" |697.778-724.444 | |||
|716.667 | |||
| colspan="2" |703.908-730.576 | |||
|726.437 | |||
| colspan="2" |722.299-748.9655 | |||
|737.255 | |||
| |746.667-760 | |||
|- | |||
| |5 | |||
|850-866.667 | |||
|871.795 | |||
| colspan="2" |858.333-891.667 | |||
|877.193 | |||
| colspan="2" |872.222-905.556 | |||
|895.833 | |||
| colspan="2" |879.885-912.218 | |||
|908.046 | |||
| colspan="2" |903.207-936.8735 | |||
|921.569 | |||
| |933.333-950 | |||
|- | |||
| |6 | |||
|1020-1040 | |||
|1046.154 | |||
| colspan="2" |1030-1070 | |||
|1052.632 | |||
| colspan="2" |1046.667-1086.667 | |||
|1075 | |||
| colspan="2" |1055.862-1095.862 | |||
|1089.655 | |||
| colspan="2" |1083.448-1123.448 | |||
|1105.882 | |||
| |1120-1140 | |||
|- | |||
| |7 | |||
|1190-1213.333 | |||
|1220.513 | |||
| colspan="2" |1201.667-1248.333 | |||
|1228.07 | |||
| colspan="2" |1221.111-1267.778 | |||
|1254.167 | |||
| colspan="2" |1221.839-1268.506 | |||
|1271.264 | |||
| colspan="2" |1264.023-1330.69 | |||
|1290.196 | |||
| |1306.667-1330 | |||
|- | |||
|8 | |||
|1360-1386.667 | |||
|1394.872 | |||
| colspan="2" |1373.333-1426.667 | |||
|1403.509 | |||
| colspan="2" |1395.556-1448.889 | |||
|1433.333 | |||
| colspan="2" |1407.816-1462.419 | |||
|1452.874 | |||
| colspan="2" |1444.598-1496.931 | |||
|1474.51 | |||
|1493.333-1520 | |||
|}Relative cents | |||
{| class="wikitable" style="text-align: center" | |||
!Degrees | |||
!Intense Aeolian-Subpental Dorian | |||
!Dorian | |||
!Subpental-Soft Superpental Mixolydian | |||
!Intense Superpental Mixolydian ~ Mixolydian-Ionian | |||
|- | |||
|1 | |||
|161.111 | |||
|166.667 | |||
|177.778 | |||
|183.333 | |||
|- | |||
|2 | |||
|322.222 | |||
|333.333 | |||
|355.556 | |||
|366.667 | |||
|- | |||
|3 | |||
|483.333 | |||
|500 | |||
|533.333 | |||
|550 | |||
|- | |||
|4 | |||
|644.444 | |||
|666.667 | |||
|711.111 | |||
|733.333 | |||
|- | |||
|5 | |||
|805.556 | |||
|833.333 | |||
|888.889 | |||
|916.667 | |||
|- | |||
|6 | |||
|966.667 | |||
|1000 | |||
|1066.667 | |||
|1100 | |||
|- | |||
|7 | |||
|1127.778 | |||
|1166.666 | |||
|1244.444 | |||
|1283.333 | |||
|- | |||
|8 | |||
|1288.889 | |||
|1333.333 | |||
|1422.222 | |||
|1466.667 | |||
|}Golden/Pyrite Tunings±13¢ | |||
{| class="wikitable" style="text-align: center" | |||
! rowspan="2" |Degrees | |||
! rowspan="2" |Intense Aeolian-Subpental Dorian | |||
! colspan="3" |Dorian | |||
|- | |||
!Subpental | |||
!Pental | |||
!Superpental | |||
|- | |- | ||
|1 | |1 | ||
|160.761-163.65 | |160.761-163.65 | ||
|162.317-165.2055 | |162.317-165.2055 | ||
|167.6965-170.585 | |167.6965-170.585 | ||
|168.741-171.63 | |168.741-171.63 | ||
|- | |- | ||
|2 | |2 | ||
|321.522-327.3 | |321.522-327.3 | ||
|364.633-330.411 | |364.633-330.411 | ||
|335.393-341.171 | |335.393-341.171 | ||
|337.483-343.36 | |337.483-343.36 | ||
|- | |- | ||
|3 | |3 | ||
|482.284-490.95 | |482.284-490.95 | ||
|486.95-495.617 | |486.95-495.617 | ||
|503.089-511.756 | |503.089-511.756 | ||
|506.224-514.891 | |506.224-514.891 | ||
|- | |- | ||
|4 | |4 | ||
|643.045-654.6 | |643.045-654.6 | ||
|649.2665-660.822 | |649.2665-660.822 | ||
|670.786-682.341 | |670.786-682.341 | ||
|674.965-686.521 | |674.965-686.521 | ||
|- | |- | ||
|5 | |5 | ||
|803.806-818.25 | |803.806-818.25 | ||
|811.583-826.028 | |811.583-826.028 | ||
|838.482-852.927 | |838.482-852.927 | ||
|843.707-858.151 | |843.707-858.151 | ||
|- | |- | ||
|6 | |6 | ||
|964.567-981.9 | |964.567-981.9 | ||
|973.9-991.233 | |973.9-991.233 | ||
|1006.179-1023.512 | |1006.179-1023.512 | ||
|1012.448-1029.781 | |1012.448-1029.781 | ||
|- | |- | ||
|7 | |7 | ||
|1125.328-1145.55 | |1125.328-1145.55 | ||
|1136.216-1156.439 | |1136.216-1156.439 | ||
|1173.875-1194.0975 | |1173.875-1194.0975 | ||
|1181.189-1201.411 | |1181.189-1201.411 | ||
|- | |- | ||
|8 | |8 | ||
|1286.09-1309.2 | |1286.09-1309.2 | ||
|1278.2435-1321.644 | |1278.2435-1321.644 | ||
|1341.572-1343.36 | |1341.572-1343.36 | ||
|1349.9305-1373.042 | |1349.9305-1373.042 | ||
|} | |} | ||
{| class="wikitable" style="text-align: center" | {| class="wikitable" style="text-align: center" | ||
!Degrees | !Degrees | ||
! | !Mohajira | ||
! | !Beatles | ||
|- | |- | ||
|1 | |1 | ||
| | |170.877-173.776 | ||
|171.314-174.203 | |171.314-174.203 | ||
|- | |- | ||
|2 | |2 | ||
| | |341.755-347.513 | ||
|342. | |342.627-348.405 | ||
|- | |- | ||
|3 | |3 | ||
| | |512.632-521.2985 | ||
|513.941-522. | |513.941-522.607 | ||
|- | |- | ||
|4 | |4 | ||
| | |683.509-695.065 | ||
|685.255-696.81 | |685.255-696.81 | ||
|- | |- | ||
|5 | |5 | ||
| | |854.386-868.831 | ||
|856.568- | |856.568-870.112 | ||
|- | |- | ||
|6 | |6 | ||
| | |1025.264-1042.997 | ||
|1027.882-1045. | |1027.882-1045.215 | ||
|- | |- | ||
|7 | |7 | ||
| | |1196.141-1216.363 | ||
|1199.196-1219.418 | |1199.196-1219.418 | ||
|- | |- | ||
|8 | |8 | ||
| | |1367.018-1389.119 | ||
|1370.5095-1393.621 | |1370.5095-1393.621 | ||
|} | |} | ||
{| class="wikitable" | {| class="wikitable" style="text-align: center" | ||
|- | |- | ||
! rowspan=" | ! rowspan="3" |Degrees | ||
! colspan=" | ! colspan="4" |Mixolydian | ||
! | ! rowspan="3" |Mixolydian-Ionian | ||
|- | |- | ||
! | ! rowspan="2" |Subpental | ||
! | ! rowspan="2" |Pental | ||
! colspan=" | ! colspan="2" |Superpental | ||
|- | |- | ||
! | !Soft | ||
! | !Intense | ||
|- | |- | ||
|1 | |||
|173.091-175.98 | |173.091-175.98 | ||
|173.844-176.733 | |173.844-176.733 | ||
|177.774-180.663 | |177.774-180.663 | ||
|180.707-183.596 | |180.707-183.596 | ||
|182.729-185.618 | |182.729-185.618 | ||
|- | |- | ||
|2 | |||
|346.182-351.96 | |346.182-351.96 | ||
|347.688-353.466 | |347.688-353.466 | ||
|355.548-361.325 | |355.548-361.325 | ||
|361.415-367.193 | |361.415-367.193 | ||
|365.4585-371.236 | |365.4585-371.236 | ||
|- | |- | ||
|3 | |||
|519.2735-527.94 | |519.2735-527.94 | ||
|521.532-530.199 | |521.532-530.199 | ||
|533.321-541.988 | |533.321-541.988 | ||
|542.122-550.789 | |542.122-550.789 | ||
|548.188-556.854 | |548.188-556.854 | ||
|- | |- | ||
|4 | |||
|692.365-703.92 | |692.365-703.92 | ||
|695.376-706.932 | |695.376-706.932 | ||
|711.095-722.651 | |711.095-722.651 | ||
|722.83-734.385 | |722.83-734.385 | ||
|730.917-742.4725 | |730.917-742.4725 | ||
|- | |- | ||
|5 | |||
|865.456-879.9 | |865.456-879.9 | ||
|869.22-883.6645 | |869.22-883.6645 | ||
|888.896-903.3135 | |888.896-903.3135 | ||
|903.537-917.982 | |903.537-917.982 | ||
|913.646-928.091 | |913.646-928.091 | ||
|- | |- | ||
|6 | |||
|1038.547-1055.88 | |1038.547-1055.88 | ||
|1043.064-1060.3975 | |1043.064-1060.3975 | ||
|1033.634-1083.976 | |1033.634-1083.976 | ||
|1084.245-1101.578 | |1084.245-1101.578 | ||
|1096.3755-1113.709 | |1096.3755-1113.709 | ||
|- | |- | ||
|7 | |||
|1211.638-1231.86 | |1211.638-1231.86 | ||
|1216.908-1237.13 | |1216.908-1237.13 | ||
|1244.417-1264.639 | |1244.417-1264.639 | ||
|1264.952-1285.174 | |1264.952-1285.174 | ||
|1279.105-1299.327 | |1279.105-1299.327 | ||
|- | |- | ||
|8 | |8 | ||
|1384.729-1407.84 | |1384.729-1407.84 | ||
|1390.752-1413.863 | |1390.752-1413.863 | ||
|1422.19-1445.3015 | |1422.19-1445.3015 | ||
|1445.6595-1445.821 | |1445.6595-1445.821 | ||
|1461.834-1484.945 | |1461.834-1484.945 | ||
|}By a surprising coincidence, the 9ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every fifth degree of [[34edo|34edo]]. Additionally, those of the Golden Subpental Dorian and Pental and Intense Superpental Mixolydian tenths are almost exactly every third step of [[22edo]], 4edf and equal multiples of 10/9 respectively. | |}By a surprising coincidence, the 9ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every fifth degree of [[34edo|34edo]]. Additionally, those of the Golden Subpental Dorian and Pental and Intense Superpental Mixolydian tenths are almost exactly every third step of [[22edo]], 4edf and equal multiples of 10/9 respectively. | ||
[[Category:EdX]] | [[Category:EdX]] | ||