User:Moremajorthanmajor/9edX: Difference between revisions
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|164.103 | |164.103 | ||
| colspan="2" |162.{{Overline|2}}-171.{{Overline|1}} | | colspan="2" |162.{{Overline|2}}-171.{{Overline|1}} | ||
|168. | |168.{{Overline|8}} | ||
| colspan="2" |165. | | colspan="2" |165.{{Overline|25}}-174.{{Overline|14}} | ||
|170.{{Overline|370}} | |170.{{Overline|370}} | ||
|171.429-175.873 | |171.429-175.873 | ||
| Line 39: | Line 39: | ||
| colspan="2" |324.{{Overline|4}}-342.{{Overline|2}} | | colspan="2" |324.{{Overline|4}}-342.{{Overline|2}} | ||
|337.{{Overline|7}} | |337.{{Overline|7}} | ||
| colspan="2" |330. | | colspan="2" |330.{{Overline|50}}-348.{{Overline|28}} | ||
|340.{{Overline|740}} | |340.{{Overline|740}} | ||
|342.857-351.746 | |342.857-351.746 | ||
| Line 50: | Line 50: | ||
| colspan="2" |486.{{Overline|6}}-513.{{Overline|3}} | | colspan="2" |486.{{Overline|6}}-513.{{Overline|3}} | ||
|506.{{Overline|6}} | |506.{{Overline|6}} | ||
| colspan="2" |495. | | colspan="2" |495.{{Overline|75}}-522.{{Overline|42}} | ||
|511.{{Overline|1}} | |511.{{Overline|1}} | ||
|514.286-527.619 | |514.286-527.619 | ||
| Line 61: | Line 61: | ||
| colspan="2" |648.{{Overline|8}}-684.{{Overline|4}} | | colspan="2" |648.{{Overline|8}}-684.{{Overline|4}} | ||
|675.{{Overline|5}} | |675.{{Overline|5}} | ||
| colspan="2" |661.01-696. | | colspan="2" |661.{{Overline|01}}-696.{{Overline|56}} | ||
|681.{{Overline|481}} | |681.{{Overline|481}} | ||
|685.714-703.492 | |685.714-703.492 | ||
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| colspan="2" |811.{{Overline|1}}-855.{{Overline|5}} | | colspan="2" |811.{{Overline|1}}-855.{{Overline|5}} | ||
|844.{{Overline|4}} | |844.{{Overline|4}} | ||
| colspan="2" |826. | | colspan="2" |826.{{Overline|26}}-870.{{Overline|70}} | ||
|851.{{Overline|851}} | |851.{{Overline|851}} | ||
|857.143-878.365 | |857.143-878.365 | ||
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| colspan="2" |973.{{Overline|3}}-1026.{{Overline|6}} | | colspan="2" |973.{{Overline|3}}-1026.{{Overline|6}} | ||
|1013.{{Overline|3}} | |1013.{{Overline|3}} | ||
| colspan="2" | | | colspan="2" |981.{{Overline|51}}-1044.{{Overline|84}} | ||
|1022.{{Overline|2}} | |1022.{{Overline|2}} | ||
|1028.571-1055.238 | |1028.571-1055.238 | ||
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| colspan="2" |1135.{{Overline|5}}-1197.{{Overline|7}} | | colspan="2" |1135.{{Overline|5}}-1197.{{Overline|7}} | ||
|1182.{{Overline|2}} | |1182.{{Overline|2}} | ||
| colspan="2" |1156. | | colspan="2" |1156.{{Overline|76}}.-1218.{{Overline|98}} | ||
|1192.{{Overline|592}} | |1192.{{Overline|592}} | ||
|1200-1231.{{Overline|1}} | |1200-1231.{{Overline|1}} | ||
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| colspan="2" |1297.{{Overline|7}}-1368.{{Overline|8}} | | colspan="2" |1297.{{Overline|7}}-1368.{{Overline|8}} | ||
|1351.{{Overline|1}} | |1351.{{Overline|1}} | ||
| colspan="2" | | | colspan="2" |1322.{{Overline|02}}-1392.{{Overline|12}} | ||
|1362.{{Overline|962}} | |1362.{{Overline|962}} | ||
|1371.429-1406.984 | |1371.429-1406.984 | ||
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|363.218 | |363.218 | ||
| colspan="2" |368.927-376.705 | | colspan="2" |368.927-376.705 | ||
|368.6275 | |[[Tel:368.6275|368.6275]] | ||
| |373.{{Overline|3}}-382.{{Overline|2}} | | |373.{{Overline|3}}-382.{{Overline|2}} | ||
|- | |- | ||
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== See also == | == See also == | ||
* [[9ed5/2]] - equal division of the classic major tenth | * [[9ed5/2]] - equal division of the classic major tenth | ||
* [[9ed7/3]] - equal division of the septimal minor | * [[9ed7/3]] - equal division of the septimal minor tent | ||
[[Category:EdX]] | [[Category:EdX]] | ||
Revision as of 18:47, 9 May 2023
This is the neutral scale of the Middletown temperament family.
Intervals
| Degrees | Intense Aeolian-Subpental Dorian | Dorian | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Subpental | Pental | Superpental | ||||||||||
| Min-comma | Med | Max+comma~Min-comma | Med | Max+comma~Min-comma | Med | Max+comma~Min-comma | Med | Max+comma | ||||
| 1 | 155.5-160 | 161.905 | 158.518-167.407 | 164.103 | 162.2-171.1 | 168.8 | 165.25-174.14 | 170.370 | 171.429-175.873 | |||
| 2 | 311.1-320 | 323.8095 | 317.037-334.814 | 328.205 | 324.4-342.2 | 337.7 | 330.50-348.28 | 340.740 | 342.857-351.746 | |||
| 3 | 466.6-480 | 485.714 | 475.5-502.2 | 492.308 | 486.6-513.3 | 506.6 | 495.75-522.42 | 511.1 | 514.286-527.619 | |||
| 4 | 622.2-640 | 647.619 | 634.074-669.629 | 656.41 | 648.8-684.4 | 675.5 | 661.01-696.56 | 681.481 | 685.714-703.492 | |||
| 5 | 777.7-800 | 809.524 | 792.592-837.037 | 820.512 | 811.1-855.5 | 844.4 | 826.26-870.70 | 851.851 | 857.143-878.365 | |||
| 6 | 943.3-960 | 971.429 | 951.1-1004.4 | 984.615 | 973.3-1026.6 | 1013.3 | 981.51-1044.84 | 1022.2 | 1028.571-1055.238 | |||
| 7 | 1088.8-1120 | 1133.3 | 1109.629-1171.851 | 1148.718 | 1135.5-1197.7 | 1182.2 | 1156.76.-1218.98 | 1192.592 | 1200-1231.1 | |||
| 8 | 1244.4-1280 | 1295.238 | 1238.148-1339.259 | 1312.8205 | 1297.7-1368.8 | 1351.1 | 1322.02-1392.12 | 1362.962 | 1371.429-1406.984 | |||
| Degrees | Mohajira | Beatles | |||||
|---|---|---|---|---|---|---|---|
| Min-comma | r¢ | Med | Max+comma~Min-comma | Med | Max+comma | ||
| 1 | 166.984-171.429 | 172.2 | 168.105-176.9935 | 172.8395 | 173.3-177.7 | ||
| 2 | 333.968-342.857 | 344.4 | 336.209-353.987 | 345.679 | 346.6-355.5 | ||
| 3 | 500.952-514.286 | 516.6 | 504.314-530.98 | 518.518 | 520-533.3 | ||
| 4 | 667.9365-685.714 | 688.8 | 672.418-707.974 | 691.358 | 693.3-711.1 | ||
| 5 | 834.921-857.143 | 861.1 | 840.523-885.967 | 864.1975 | 866.6-888.8 | ||
| 6 | 1001.904-1028.571 | 1033.3 | 1008.6275-1062.961 | 1037.037 | 1040-1066.6 | ||
| 7 | 1168.8-1200 | 1205.5 | 1176.732-1239.954 | 1209.8765 | 1213.3-1244.4 | ||
| 8 | 1335.873-1371.429 | 1377.7 | 1344.837-1416.948 | 1382.716 | 1386.6-1422.2 | ||
| Degrees | Mixolydian | Mixolydian-Ionian | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Subpental | Pental | Superpental | |||||||||||||
| Soft | 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 | 168.8-173.3 | 174.359 | 170.5-179.4 | 175.439 | 173.3-182.2 | 179.16 | 174.866-183.755 | 181.609 | 179.464-188.3525 | 184.314 | 186.6-191.1 | ||||
| 2 | 337.7-346.6 | 348.718 | 341.1-358.8 | 350.877 | 346.6-364.4 | 358.3 | 349.732-367.51 | 363.218 | 368.927-376.705 | [[1]] | 373.3-382.2 | ||||
| 3 | 506.6-520 | 523.077 | 511.6-538.3 | 526.316 | 520-546.6 | 537.5 | 524.598-551.264 | 544.828 | 538.391-565.0575 | 552.941 | 560-573.3 | ||||
| 4 | 675.5-693.3 | 697.436 | 682.2-717.7 | 701.754 | 693.3-728.8 | 716.6 | 699.464-735.019 | 726.437 | 717.854-753.41 | 737.255 | 746.6-764.4 | ||||
| 5 | 844.4-866.6 | 871.795 | 852.7-897.2 | 877.193 | 866.6-911.1 | 895.83 | 874.3295-918.774 | 908.046 | 897.318-942.7625 | 921.569 | 933.3-955.5 | ||||
| 6 | 1013.3-1040 | 1046.154 | 1023.3-1076.6 | 1052.632 | 1040-1093.3 | 1075 | 1049.195-1102.529 | 1089.655 | 1076.782-1130.115 | 1105.882 | 1120-1146.6 | ||||
| 7 | 1182.2-1213.3 | 1220.513 | 1193.8-1256.1 | 1228.07 | 1213.3-1275.5 | 1254.16 | 1224.061-1286.2835 | 1271.264 | 1256.245-1318.457 | 1290.196 | 1306.6-1337.7 | ||||
| 8 | 1351.1-1386.6 | 1394.872 | 1364.4-1435.5 | 1403.509 | 1386.6-1457.7 | 1433.3 | 1398.927-1470.038 | 1452.874 | 1438.709-1506.82 | 1474.51 | 1493.3-1528.8 | ||||
Relative cents
| Degrees | Intense Aeolian-Subpental Dorian | Dorian | Subpental-Soft Superpental Mixolydian | Intense Superpental Mixolydian ~ Mixolydian-Ionian |
|---|---|---|---|---|
| 1 | 161.1 | 166.6 | 177.7 | 183.3 |
| 2 | 322.2 | 333.3 | 355.5 | 366.6 |
| 3 | 483.3 | 500 | 533.3 | 550 |
| 4 | 644.4 | 666.6 | 711.1 | 733.3 |
| 5 | 805.5 | 833.3 | 888.8 | 916.6 |
| 6 | 966.6 | 1000 | 1066.6 | 1100 |
| 7 | 1127.7 | 1166.6 | 1244.4 | 1283.3 |
| 8 | 1288.8 | 1333.3 | 1422.2 | 1466.6 |
Golden/Pyrite Tunings±13¢
| Degrees | Intense Aeolian-Subpental Dorian | Dorian | ||
|---|---|---|---|---|
| Subpental | Pental | Superpental | ||
| 1 | 160.761-163.65 | 162.317-165.2055 | 167.6965-170.585 | 168.741-171.63 |
| 2 | 321.522-327.3 | 364.633-330.411 | 335.393-341.171 | 337.483-343.36 |
| 3 | 482.284-490.95 | 486.95-495.617 | 503.089-511.756 | 506.224-514.891 |
| 4 | 643.045-654.6 | 649.2665-660.822 | 670.786-682.341 | 674.965-686.521 |
| 5 | 803.806-818.25 | 811.583-826.028 | 838.482-852.927 | 843.707-858.151 |
| 6 | 964.567-981.9 | 973.9-991.233 | 1006.179-1023.512 | 1012.448-1029.781 |
| 7 | 1125.328-1145.55 | 1136.216-1156.439 | 1173.875-1194.0975 | 1181.189-1201.411 |
| 8 | 1286.09-1309.2 | 1278.2435-1321.644 | 1341.572-1343.36 | 1349.9305-1373.042 |
| Degrees | Mohajira | Beatles |
|---|---|---|
| 1 | 170.877-173.776 | 171.314-174.203 |
| 2 | 341.755-347.513 | 342.627-348.405 |
| 3 | 512.632-521.2985 | 513.941-522.607 |
| 4 | 683.509-695.065 | 685.255-696.81 |
| 5 | 854.386-868.831 | 856.568-870.112 |
| 6 | 1025.264-1042.597 | 1027.882-1045.215 |
| 7 | 1196.141-1216.363 | 1199.196-1219.418 |
| 8 | 1367.018-1389.119 | 1370.5095-1393.621 |
| Degrees | Mixolydian | Mixolydian-Ionian | |||
|---|---|---|---|---|---|
| Subpental | Pental | Superpental | |||
| Soft | Intense | ||||
| 1 | 173.091-175.98 | 173.844-176.733 | 177.774-180.663 | 180.707-183.596 | 182.729-185.618 |
| 2 | 346.182-351.96 | 347.688-353.466 | 355.548-361.325 | 361.415-367.193 | 365.4585-371.236 |
| 3 | 519.2735-527.94 | 521.532-530.199 | 533.321-541.988 | 542.122-550.789 | 548.188-556.854 |
| 4 | 692.365-703.92 | 695.376-706.932 | 711.095-722.651 | 722.83-734.385 | 730.917-742.4725 |
| 5 | 865.456-879.9 | 869.22-883.6645 | 888.896-903.3135 | 903.537-917.982 | 913.646-928.091 |
| 6 | 1038.547-1055.88 | 1043.064-1060.3975 | 1033.634-1083.976 | 1084.245-1101.578 | 1096.3755-1113.709 |
| 7 | 1211.638-1231.86 | 1216.908-1237.13 | 1244.417-1264.639 | 1264.952-1285.174 | 1279.105-1299.327 |
| 8 | 1384.729-1407.84 | 1390.752-1413.863 | 1422.19-1445.3015 | 1445.6595-1445.821 | 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. 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.