User:Moremajorthanmajor/15edX: Difference between revisions
No edit summary |
No edit summary |
||
Line 4: | Line 4: | ||
! rowspan="3" |Degrees | ! rowspan="3" |Degrees | ||
! colspan="2" rowspan="3" |Enneatonic | ! colspan="2" rowspan="3" |Enneatonic | ||
! colspan=" | ! colspan="4" rowspan="2" |Intense Aeolian-Subpental Dorian | ||
! colspan="10" |Dorian | ! colspan="10" |Dorian | ||
|- | |- | ||
Line 11: | Line 11: | ||
!Min | !Min | ||
!Golden±13¢ | !Golden±13¢ | ||
!''r¢'' | |||
!Max | !Max | ||
!Min | !Min | ||
Line 28: | Line 29: | ||
| |96 | | |96 | ||
|96.457-98.19 | |96.457-98.19 | ||
|''96.667'' | |||
| colspan="2" |97.778 | | colspan="2" |97.778 | ||
|96.925-98.658 | |96.925-98.658 | ||
|97.39-99.123 | |97.39-99.123 | ||
| colspan="2" |100 | | colspan="2" |''100'' | ||
|100.618-102.351 | |100.618-102.351 | ||
| colspan="2" |101.818 | | colspan="2" |101.818 | ||
Line 42: | Line 44: | ||
| |192 | | |192 | ||
|192.913-196.38 | |192.913-196.38 | ||
|''193.333'' | |||
| colspan="2" |195.556 | | colspan="2" |195.556 | ||
|193.8495-197.316 | |193.8495-197.316 | ||
|194.78-198.247 | |194.78-198.247 | ||
| colspan="2" |200 | | colspan="2" |''200'' | ||
|201.236-204.702 | |201.236-204.702 | ||
| colspan="2" |203.636 | | colspan="2" |203.636 | ||
Line 56: | Line 59: | ||
| |288 | | |288 | ||
|289.37-294.57 | |289.37-294.57 | ||
|''290'' | |||
| colspan="2" |293.333 | | colspan="2" |293.333 | ||
|290.774-295.974 | |290.774-295.974 | ||
|292.17-297.37 | |292.17-297.37 | ||
| colspan="2" |300 | | colspan="2" |''300'' | ||
|301.854-204.702 | |301.854-204.702 | ||
| colspan="2" |305.4545 | | colspan="2" |305.4545 | ||
Line 70: | Line 74: | ||
| |384 | | |384 | ||
|385.829-392.76 | |385.829-392.76 | ||
|''386.667'' | |||
| colspan="2" |391.111 | | colspan="2" |391.111 | ||
|387.699-394.632 | |387.699-394.632 | ||
|389.56-396.493 | |389.56-396.493 | ||
| colspan="2" |400 | | colspan="2" |''400'' | ||
|402.4715-307.054 | |402.4715-307.054 | ||
| colspan="2" |407.273 | | colspan="2" |407.273 | ||
Line 84: | Line 89: | ||
| |480 | | |480 | ||
|482.284-490.95 | |482.284-490.95 | ||
|''483.333'' | |||
| colspan="2" |488.889 | | colspan="2" |488.889 | ||
|484.624-493.29 | |484.624-493.29 | ||
|486.95-495.617 | |486.95-495.617 | ||
| colspan="2" |500 | | colspan="2" |''500'' | ||
|503.089-511.756 | |503.089-511.756 | ||
| colspan="2" |509.091 | | colspan="2" |509.091 | ||
Line 98: | Line 104: | ||
| |576 | | |576 | ||
|578.74-589.14 | |578.74-589.14 | ||
|''580'' | |||
| colspan="2" |586.667 | | colspan="2" |586.667 | ||
|581.548-591.948 | |581.548-591.948 | ||
|584.334-594.74 | |584.334-594.74 | ||
| colspan="2" |600 | | colspan="2" |''600'' | ||
|603.707-614.107 | |603.707-614.107 | ||
| colspan="2" |610.909 | | colspan="2" |610.909 | ||
Line 112: | Line 119: | ||
| |672 | | |672 | ||
|675.197-687.33 | |675.197-687.33 | ||
|''676.667'' | |||
| colspan="2" |684.444 | | colspan="2" |684.444 | ||
|678.473-690.606 | |678.473-690.606 | ||
|681.73-693.863 | |681.73-693.863 | ||
| colspan="2" |700 | | colspan="2" |''700'' | ||
|704.325-716.4585 | |704.325-716.4585 | ||
| colspan="2" |712.727 | | colspan="2" |712.727 | ||
Line 126: | Line 134: | ||
|768 | |768 | ||
|771.654-785.52 | |771.654-785.52 | ||
|''773.333'' | |||
| colspan="2" |782.822 | | colspan="2" |782.822 | ||
|775.398-789.2645 | |775.398-789.2645 | ||
|779.12-792.9865 | |779.12-792.9865 | ||
| colspan="2" |800 | | colspan="2" |''800'' | ||
|804.943-818.81 | |804.943-818.81 | ||
| colspan="2" |814.5455 | | colspan="2" |814.5455 | ||
Line 140: | Line 149: | ||
|864 | |864 | ||
|868.1105-883.7105 | |868.1105-883.7105 | ||
|''870'' | |||
| colspan="2" |880 | | colspan="2" |880 | ||
|872.3225-887.9225 | |872.3225-887.9225 | ||
|876.51-892.11 | |876.51-892.11 | ||
| colspan="2" |900 | | colspan="2" |''900'' | ||
|905.561-921.161 | |905.561-921.161 | ||
| colspan="2" |916.364 | | colspan="2" |916.364 | ||
Line 154: | Line 164: | ||
|960 | |960 | ||
|964.567-981.901 | |964.567-981.901 | ||
|''966.667'' | |||
| colspan="2" |977.778 | | colspan="2" |977.778 | ||
|969.247-986.561 | |969.247-986.561 | ||
|973.9-991.233 | |973.9-991.233 | ||
| colspan="2" |1000 | | colspan="2" |''1000'' | ||
|1006.179-1023.512 | |1006.179-1023.512 | ||
| colspan="2" |1018.182 | | colspan="2" |1018.182 | ||
Line 168: | Line 179: | ||
|1056 | |1056 | ||
|1061.024-1080.091 | |1061.024-1080.091 | ||
|''1063.333'' | |||
| colspan="2" |1075.556 | | colspan="2" |1075.556 | ||
|1066.172-1085.239 | |1066.172-1085.239 | ||
|1071.39-1090.356 | |1071.39-1090.356 | ||
| colspan="2" |1100 | | colspan="2" |''1100'' | ||
|1106.797-1125.863 | |1106.797-1125.863 | ||
| colspan="2" |1120 | | colspan="2" |1120 | ||
Line 181: | Line 193: | ||
|1152 | |1152 | ||
|1157.481-1178.281 | |1157.481-1178.281 | ||
|''1160'' | |||
| colspan="2" |1173.333 | | colspan="2" |1173.333 | ||
|1163.097-1183.897 | |1163.097-1183.897 | ||
|1168.68-1189.48 | |1168.68-1189.48 | ||
| colspan="2" |1200 | | colspan="2" |''1200'' | ||
|1207.4145-1228.2145 | |1207.4145-1228.2145 | ||
| colspan="2" |1221.818 | | colspan="2" |1221.818 | ||
Line 194: | Line 207: | ||
|1248 | |1248 | ||
|1253.937-1276.471 | |1253.937-1276.471 | ||
|''1256.667'' | |||
| colspan="2" |1271.111 | | colspan="2" |1271.111 | ||
|1260.0215-1282.555 | |1260.0215-1282.555 | ||
|1266.07-1288.603 | |1266.07-1288.603 | ||
| colspan="2" |1300 | | colspan="2" |''1300'' | ||
|1308.032-1330.566 | |1308.032-1330.566 | ||
| colspan="2" |1323.636 | | colspan="2" |1323.636 | ||
Line 207: | Line 221: | ||
|1344 | |1344 | ||
|1350.394-1374.661 | |1350.394-1374.661 | ||
|''1353.333'' | |||
| colspan="2" |1368.889 | | colspan="2" |1368.889 | ||
|1356.946-1381.213 | |1356.946-1381.213 | ||
|1363.46-1387.726 | |1363.46-1387.726 | ||
| colspan="2" |1400 | | colspan="2" |''1400'' | ||
|1408.65-1432.917 | |1408.65-1432.917 | ||
| colspan="2" |1425.4545 | | colspan="2" |1425.4545 | ||
Line 220: | Line 235: | ||
|1440 | |1440 | ||
|1446.851-1472.851 | |1446.851-1472.851 | ||
|''1450'' | |||
| colspan="2" |1466.667 | | colspan="2" |1466.667 | ||
|1453.871-1479.871 | |1453.871-1479.871 | ||
|1460.85-1486.85 | |1460.85-1486.85 | ||
| colspan="2" |1500 | | colspan="2" |''1500'' | ||
|1509.268-1535.268 | |1509.268-1535.268 | ||
| colspan="2" |1527.273 | | colspan="2" |1527.273 | ||
Line 236: | Line 252: | ||
!22/9±13¢ | !22/9±13¢ | ||
!Golden±13¢ | !Golden±13¢ | ||
!''r¢'' | |||
!Max | !Max | ||
|- | |- | ||
Line 245: | Line 262: | ||
|102.294-104.027 | |102.294-104.027 | ||
|102.788-104.5215 | |102.788-104.5215 | ||
|''103.333'' | |||
|104 | |104 | ||
|- | |- | ||
Line 254: | Line 272: | ||
|204.588-208.054 | |204.588-208.054 | ||
|205.576-209.043 | |205.576-209.043 | ||
|''206.667'' | |||
|208 | |208 | ||
|- | |- | ||
Line 264: | Line 283: | ||
|306.8815-312.0815 | |306.8815-312.0815 | ||
|308.365-313.565 | |308.365-313.565 | ||
|''310'' | |||
|312 | |312 | ||
|- | |- | ||
Line 274: | Line 294: | ||
|409.1755-416.109 | |409.1755-416.109 | ||
|411.153-418.086 | |411.153-418.086 | ||
|''413.333'' | |||
|416 | |416 | ||
|- | |- | ||
Line 284: | Line 305: | ||
|511.469-520.136 | |511.469-520.136 | ||
|513.941-526.308 | |513.941-526.308 | ||
|''516.667'' | |||
|520 | |520 | ||
|- | |- | ||
Line 294: | Line 316: | ||
|613.763-624.163 | |613.763-624.163 | ||
|616.729-627.129 | |616.729-627.129 | ||
|''620'' | |||
|624 | |624 | ||
|- | |- | ||
Line 304: | Line 327: | ||
|716.057-728.19 | |716.057-728.19 | ||
|719.5175-731.651 | |719.5175-731.651 | ||
|''723.333'' | |||
|728 | |728 | ||
|- | |- | ||
Line 314: | Line 338: | ||
|818.351-832.218 | |818.351-832.218 | ||
|822.306-836.172 | |822.306-836.172 | ||
|''826.667'' | |||
|832 | |832 | ||
|- | |- | ||
Line 324: | Line 349: | ||
|920.645-936.245 | |920.645-936.245 | ||
|925.094-940.694 | |925.094-940.694 | ||
|''930'' | |||
|936 | |936 | ||
|- | |- | ||
Line 334: | Line 360: | ||
|1022.939-1040.272 | |1022.939-1040.272 | ||
|1027.882-1045.2155 | |1027.882-1045.2155 | ||
|''1033.333'' | |||
|1040 | |1040 | ||
|- | |- | ||
Line 344: | Line 371: | ||
|1125.2325-1144.299 | |1125.2325-1144.299 | ||
|1130.67-1149.737 | |1130.67-1149.737 | ||
|''1136.667'' | |||
|1144 | |1144 | ||
|- | |- | ||
Line 353: | Line 381: | ||
|1227.526-1248.326 | |1227.526-1248.326 | ||
|1233.459-1254.259 | |1233.459-1254.259 | ||
|''1240'' | |||
|1248 | |1248 | ||
|- | |- | ||
Line 362: | Line 391: | ||
|1329.82-1352.3535 | |1329.82-1352.3535 | ||
|1336.247-1358.78 | |1336.247-1358.78 | ||
|''1343.333'' | |||
|1352 | |1352 | ||
|- | |- | ||
Line 370: | Line 400: | ||
|1432.114-1456.381 | |1432.114-1456.381 | ||
|1439.035-1463.302 | |1439.035-1463.302 | ||
|''1446.667'' | |||
|1456 | |1456 | ||
|- | |- | ||
Line 378: | Line 409: | ||
|1534.408-1560.408 | |1534.408-1560.408 | ||
|1541.823-1567.823 | |1541.823-1567.823 | ||
|''1550'' | |||
|1560 | |1560 | ||
|} | |} | ||
Line 385: | Line 417: | ||
! rowspan="4" |Degrees | ! rowspan="4" |Degrees | ||
! colspan="2" rowspan="4" |Enneatonic | ! colspan="2" rowspan="4" |Enneatonic | ||
! colspan=" | ! colspan="14" |Mixolydian | ||
! colspan="3" rowspan="3" |Mixolydian-Ionian | ! colspan="3" rowspan="3" |Mixolydian-Ionian | ||
|- | |- | ||
! colspan="3" rowspan="2" |Subpental | ! colspan="3" rowspan="2" |Subpental | ||
! colspan="4" rowspan="2" |Pental | ! colspan="4" rowspan="2" |Pental | ||
! colspan=" | ! colspan="7" |Superpental | ||
|- | |- | ||
! colspan="3" |Soft | ! colspan="3" |Soft | ||
! colspan=" | ! colspan="4" |Intense | ||
|- | |- | ||
! width="4%" | Min | ! width="4%" | Min | ||
Line 407: | Line 439: | ||
! width="4%" | Min | ! width="4%" | Min | ||
!Golden±13¢ | !Golden±13¢ | ||
!''r¢'' | |||
! width="4%" | Max | ! width="4%" | Max | ||
!Min | !Min | ||
Line 419: | Line 452: | ||
|104.306-106.04 | |104.306-106.04 | ||
|104.888-106.621 | |104.888-106.621 | ||
| colspan="2" |106.667 | | colspan="2" |''106.667'' | ||
|106.664-108.398 | |106.664-108.398 | ||
| colspan="2" |107.586 | | colspan="2" |107.586 | ||
|108.4245-110.158 | |108.4245-110.158 | ||
|''110'' | |||
| colspan="2" |110.345 | | colspan="2" |110.345 | ||
|109.6375-111.371 | |109.6375-111.371 | ||
Line 434: | Line 468: | ||
|208.613-212.08 | |208.613-212.08 | ||
|209.77-213.242 | |209.77-213.242 | ||
| colspan="2" |213.333 | | colspan="2" |''213.333'' | ||
|213.329-216.795 | |213.329-216.795 | ||
| colspan="2" |215.172 | | colspan="2" |215.172 | ||
|216.849-220.316 | |216.849-220.316 | ||
|220.69 | |''220'' | ||
| colspan="2" |220.69 | |||
|219.275-222.742 | |219.275-222.742 | ||
|224 | |||
|- | |- | ||
| |3 | | |3 | ||
Line 450: | Line 485: | ||
|312.919-318.119 | |312.919-318.119 | ||
|314.663-319.863 | |314.663-319.863 | ||
| colspan="2" |320 | | colspan="2" |''320'' | ||
|319.993-325.193 | |319.993-325.193 | ||
| colspan="2" |322.759 | | colspan="2" |322.759 | ||
|325.273-330.473 | |325.273-330.473 | ||
|''330'' | |||
| colspan="2" |331.034 | | colspan="2" |331.034 | ||
|328.913-334.113 | |328.913-334.113 | ||
Line 466: | Line 502: | ||
|417.226-424.159 | |417.226-424.159 | ||
|419.559-426.484 | |419.559-426.484 | ||
| colspan="2" |426.667 | | colspan="2" |''426.667'' | ||
|426.657-433.5905 | |426.657-433.5905 | ||
| colspan="2" |430.345 | | colspan="2" |430.345 | ||
|433.698-440.631 | |433.698-440.631 | ||
|''440'' | |||
| colspan="2" |441.379 | | colspan="2" |441.379 | ||
|438.55-445.4835 | |438.55-445.4835 | ||
Line 482: | Line 519: | ||
|521.532-530.199 | |521.532-530.199 | ||
|524.438-533.105 | |524.438-533.105 | ||
| colspan="2" |533.333 | | colspan="2" |''533.333'' | ||
|533.321-541.988 | |533.321-541.988 | ||
| colspan="2" |537.931 | | colspan="2" |537.931 | ||
|542.122-550.789 | |542.122-550.789 | ||
|''550'' | |||
| colspan="2" |551.724 | | colspan="2" |551.724 | ||
|548.188-556.854 | |548.188-556.854 | ||
Line 498: | Line 536: | ||
|625.8385-636.238 | |625.8385-636.238 | ||
|629.3255-639.7255 | |629.3255-639.7255 | ||
| colspan="2" |640 | | colspan="2" |''640'' | ||
|639.987-650.386 | |639.987-650.386 | ||
| colspan="2" |645.517 | | colspan="2" |645.517 | ||
|650.547-660.947 | |650.547-660.947 | ||
|''660'' | |||
| colspan="2" |662.069 | | colspan="2" |662.069 | ||
|657.825-668.225 | |657.825-668.225 | ||
Line 514: | Line 553: | ||
|730.145-742.278 | |730.145-742.278 | ||
|734.213-746.346 | |734.213-746.346 | ||
| colspan="2" |746.667 | | colspan="2" |''746.667'' | ||
|746.65-758.783 | |746.65-758.783 | ||
| colspan="2" |753.103 | | colspan="2" |753.103 | ||
|758.971-771.105 | |758.971-771.105 | ||
|''770'' | |||
| colspan="2" |772.414 | | colspan="2" |772.414 | ||
|767.463-779.596 | |767.463-779.596 | ||
Line 530: | Line 570: | ||
|834.451-848.318 | |834.451-848.318 | ||
|839.101-852.967 | |839.101-852.967 | ||
| colspan="2" |853.333 | | colspan="2" |''853.333'' | ||
|853.314-867.181 | |853.314-867.181 | ||
| colspan="2" |860.69 | | colspan="2" |860.69 | ||
|867.396-881.262 | |867.396-881.262 | ||
|''880'' | |||
| colspan="2" |882.759 | | colspan="2" |882.759 | ||
|877.1-890.967 | |877.1-890.967 | ||
Line 546: | Line 587: | ||
|938.758-954.358 | |938.758-954.358 | ||
|943.988-959.588 | |943.988-959.588 | ||
| colspan="2" |960 | | colspan="2" |''960'' | ||
|959.9785-975.5785 | |959.9785-975.5785 | ||
| colspan="2" |968.276 | | colspan="2" |968.276 | ||
|975.82-991.42 | |975.82-991.42 | ||
|''990'' | |||
| colspan="2" |993.103 | | colspan="2" |993.103 | ||
|986.738-1002.338 | |986.738-1002.338 | ||
Line 562: | Line 604: | ||
|1043.064-1060.3975 | |1043.064-1060.3975 | ||
|1048.876-1066.209 | |1048.876-1066.209 | ||
| colspan="2" |1066.667 | | colspan="2" |''1066.667'' | ||
|1066.643-1083.976 | |1066.643-1083.976 | ||
| colspan="2" |1075.862 | | colspan="2" |1075.862 | ||
|1084.245-1101.578 | |1084.245-1101.578 | ||
|''1100'' | |||
| colspan="2" |1103.448 | | colspan="2" |1103.448 | ||
|1096.3755-1113.709 | |1096.3755-1113.709 | ||
Line 578: | Line 621: | ||
|1147.3705-1166.437 | |1147.3705-1166.437 | ||
|1153.763-1172.83 | |1153.763-1172.83 | ||
| colspan="2" |1173.333 | | colspan="2" |''1173.333'' | ||
|1173.307-1192.374 | |1173.307-1192.374 | ||
| colspan="2" |1183.448 | | colspan="2" |1183.448 | ||
|1192.669-1211.736 | |1192.669-1211.736 | ||
|''1210'' | |||
| colspan="2" |1213.379 | | colspan="2" |1213.379 | ||
|1206.013-1225.08 | |1206.013-1225.08 | ||
Line 594: | Line 638: | ||
|1251.677-1272.477 | |1251.677-1272.477 | ||
|1258.651-1279.451 | |1258.651-1279.451 | ||
| colspan="2" |1280 | | colspan="2" |''1280'' | ||
|1279.971-1300.771 | |1279.971-1300.771 | ||
| colspan="2" |1291.034 | | colspan="2" |1291.034 | ||
|1301.0395-1321.8935 | |1301.0395-1321.8935 | ||
|''1320'' | |||
| colspan="2" |1324.138 | | colspan="2" |1324.138 | ||
|1315.651-1336.451 | |1315.651-1336.451 | ||
Line 610: | Line 655: | ||
|1355.983-1378.517 | |1355.983-1378.517 | ||
|1363.539-1386.072 | |1363.539-1386.072 | ||
| colspan="2" |1386.667 | | colspan="2" |''1386.667'' | ||
|1386.636-1409.169 | |1386.636-1409.169 | ||
| colspan="2" |1398.621 | | colspan="2" |1398.621 | ||
|1409.518-1425.288 | |1409.518-1425.288 | ||
|''1430'' | |||
| colspan="2" |1424.483 | | colspan="2" |1424.483 | ||
|1438.993-1447.8215 | |1438.993-1447.8215 | ||
Line 625: | Line 671: | ||
|1460.29-1484.556 | |1460.29-1484.556 | ||
|1468.426-1492.693 | |1468.426-1492.693 | ||
| colspan="2" |1493.333 | | colspan="2" |''1493.333'' | ||
|1493.3-1517.567 | |1493.3-1517.567 | ||
| colspan="2" |1506.207 | | colspan="2" |1506.207 | ||
|1517.9425-1534.926 | |1517.9425-1534.926 | ||
|''1540'' | |||
| colspan="2" |1544.827 | | colspan="2" |1544.827 | ||
|1541.778-1559.192 | |1541.778-1559.192 | ||
Line 640: | Line 687: | ||
|1564.596-1590.596 | |1564.596-1590.596 | ||
|1573.314-1599.314 | |1573.314-1599.314 | ||
| colspan="2" |1600 | | colspan="2" |''1600'' | ||
|1599.964-1625.964 | |1599.964-1625.964 | ||
| colspan="2" |1613.793 | | colspan="2" |1613.793 | ||
|1626.366-1652.366 | |1626.366-1652.366 | ||
|''1650'' | |||
| colspan="2" |1655.172 | | colspan="2" |1655.172 | ||
|1644.563-1670.563 | |1644.563-1670.563 |
Revision as of 16:05, 29 December 2018
15edX is the scale which occurs as the dominant minor edX.
Intervals
Degrees | Enneatonic | Intense Aeolian-Subpental Dorian | Dorian | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Subpental | ||||||||||||||||
Min | Golden±13¢ | r¢ | Max | Min | 7/3±13¢ | Golden±13¢ | Max | Min | Golden±13¢ | Max | Min | Golden±13¢ | Max | |||
1 | G#/Jb | G#/Ab | 96 | 96.457-98.19 | 96.667 | 97.778 | 96.925-98.658 | 97.39-99.123 | 100 | 100.618-102.351 | 101.818 | 101.245-102.978 | 102.857 | |||
2 | J | A | 192 | 192.913-196.38 | 193.333 | 195.556 | 193.8495-197.316 | 194.78-198.247 | 200 | 201.236-204.702 | 203.636 | 202.49-205.956 | 205.714 | |||
3 | J#/Ab | A#/Bb | 288 | 289.37-294.57 | 290 | 293.333 | 290.774-295.974 | 292.17-297.37 | 300 | 301.854-204.702 | 305.4545 | 303.734-308.934 | 308.571 | |||
4 | J | B | 384 | 385.829-392.76 | 386.667 | 391.111 | 387.699-394.632 | 389.56-396.493 | 400 | 402.4715-307.054 | 407.273 | 404.979-411.9215 | 411.429 | |||
5 | A | C | 480 | 482.284-490.95 | 483.333 | 488.889 | 484.624-493.29 | 486.95-495.617 | 500 | 503.089-511.756 | 509.091 | 509.502-514.891 | 514.286 | |||
6 | A#/Bb | C#/Qb | 576 | 578.74-589.14 | 580 | 586.667 | 581.548-591.948 | 584.334-594.74 | 600 | 603.707-614.107 | 610.909 | 607.469-617.869 | 617.143 | |||
7 | B | Q | 672 | 675.197-687.33 | 676.667 | 684.444 | 678.473-690.606 | 681.73-693.863 | 700 | 704.325-716.4585 | 712.727 | 708.7135-720.847 | 720 | |||
8 | B#/Cb | Q#/Db | 768 | 771.654-785.52 | 773.333 | 782.822 | 775.398-789.2645 | 779.12-792.9865 | 800 | 804.943-818.81 | 814.5455 | 809.958-823.825 | 822.857 | |||
9 | C | D | 864 | 868.1105-883.7105 | 870 | 880 | 872.3225-887.9225 | 876.51-892.11 | 900 | 905.561-921.161 | 916.364 | 911.203-926.823 | 925.714 | |||
10 | D | S | 960 | 964.567-981.901 | 966.667 | 977.778 | 969.247-986.561 | 973.9-991.233 | 1000 | 1006.179-1023.512 | 1018.182 | 1012.448-1029.781 | 1028.571 | |||
11 | D#/Eb | S#/Eb | 1056 | 1061.024-1080.091 | 1063.333 | 1075.556 | 1066.172-1085.239 | 1071.39-1090.356 | 1100 | 1106.797-1125.863 | 1120 | 1113.693-1132.759 | 1131.429 | |||
12 | E | 1152 | 1157.481-1178.281 | 1160 | 1173.333 | 1163.097-1183.897 | 1168.68-1189.48 | 1200 | 1207.4145-1228.2145 | 1221.818 | 1214.9375-1235.7375 | 1234.286 | ||||
13 | E#/Fb | 1248 | 1253.937-1276.471 | 1256.667 | 1271.111 | 1260.0215-1282.555 | 1266.07-1288.603 | 1300 | 1308.032-1330.566 | 1323.636 | 1316.182-1338.716 | 1337.143 | ||||
14 | F | 1344 | 1350.394-1374.661 | 1353.333 | 1368.889 | 1356.946-1381.213 | 1363.46-1387.726 | 1400 | 1408.65-1432.917 | 1425.4545 | 1417.427-1441.694 | 1440 | ||||
15 | G | 1440 | 1446.851-1472.851 | 1450 | 1466.667 | 1453.871-1479.871 | 1460.85-1486.85 | 1500 | 1509.268-1535.268 | 1527.273 | 1518.672-1544.672 | 1542.857 |
Degrees | Enneatonic | Min | 22/9±13¢ | Golden±13¢ | r¢ | Max | |||
---|---|---|---|---|---|---|---|---|---|
1 | F#/Gb | G#/Jb | G#/Ab | 102.857 | 102.294-104.027 | 102.788-104.5215 | 103.333 | 104 | |
2 | G | J | A | 205.714 | 204.588-208.054 | 205.576-209.043 | 206.667 | 208 | |
3 | G#/Jb | G#/Ab | J#/Ab | A#/Bb | 308.571 | 306.8815-312.0815 | 308.365-313.565 | 310 | 312 |
4 | J | A | J | B | 411.429 | 409.1755-416.109 | 411.153-418.086 | 413.333 | 416 |
5 | A | B | A | C | 514.286 | 511.469-520.136 | 513.941-526.308 | 516.667 | 520 |
6 | A#/Bb | B#/Hb | A#/Bb | C#/Qb | 617.143 | 613.763-624.163 | 616.729-627.129 | 620 | 624 |
7 | B | H | B | Q | 720 | 716.057-728.19 | 719.5175-731.651 | 723.333 | 728 |
8 | B#/Hb | H#/Cb | B#/Cb | Q#/Db | 822.857 | 818.351-832.218 | 822.306-836.172 | 826.667 | 832 |
9 | H | C | C | D | 925.714 | 920.645-936.245 | 925.094-940.694 | 930 | 936 |
10 | C | D | D | S | 1028.571 | 1022.939-1040.272 | 1027.882-1045.2155 | 1033.333 | 1040 |
11 | C#/Db | D#/Sb | D#/Eb | S#/Eb | 1131.429 | 1125.2325-1144.299 | 1130.67-1149.737 | 1136.667 | 1144 |
12 | D | S | E | 1234.286 | 1227.526-1248.326 | 1233.459-1254.259 | 1240 | 1248 | |
13 | D#/Eb | S#/Eb | E#/Fb | 1337.143 | 1329.82-1352.3535 | 1336.247-1358.78 | 1343.333 | 1352 | |
14 | E | F | 1440 | 1432.114-1456.381 | 1439.035-1463.302 | 1446.667 | 1456 | ||
15 | F | G | 1542.857 | 1534.408-1560.408 | 1541.823-1567.823 | 1550 | 1560 |
Degrees | Enneatonic | Mixolydian | Mixolydian-Ionian | ||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Subpental | Pental | Superpental | |||||||||||||||||
Soft | Intense | ||||||||||||||||||
Min | Golden±13¢ | Max | Min | Golden±13¢ | 5/2±13¢ | Max | Min | Golden±13¢ | Max | Min | Golden±13¢ | r¢ | Max | Min | Golden±13¢ | Max | |||
1 | F#/Gb | 104 | 103.855-105.788 | 105 | 104.306-106.04 | 104.888-106.621 | 106.667 | 106.664-108.398 | 107.586 | 108.4245-110.158 | 110 | 110.345 | 109.6375-111.371 | 112 | |||||
2 | G | 208 | 207.709-211.576 | 210 | 208.613-212.08 | 209.77-213.242 | 213.333 | 213.329-216.795 | 215.172 | 216.849-220.316 | 220 | 220.69 | 219.275-222.742 | 224 | |||||
3 | G#/Jb | G#/Ab | 312 | 311.564-317.364 | 315 | 312.919-318.119 | 314.663-319.863 | 320 | 319.993-325.193 | 322.759 | 325.273-330.473 | 330 | 331.034 | 328.913-334.113 | 336 | ||||
4 | J | A | 416 | 415.419-423.152 | 420 | 417.226-424.159 | 419.559-426.484 | 426.667 | 426.657-433.5905 | 430.345 | 433.698-440.631 | 440 | 441.379 | 438.55-445.4835 | 448 | ||||
5 | A | B | 520 | 519.2735-528.94 | 525 | 521.532-530.199 | 524.438-533.105 | 533.333 | 533.321-541.988 | 537.931 | 542.122-550.789 | 550 | 551.724 | 548.188-556.854 | 560 | ||||
6 | A#/Bb | B#/Hb | 624 | 623.128-634.728 | 630 | 625.8385-636.238 | 629.3255-639.7255 | 640 | 639.987-650.386 | 645.517 | 650.547-660.947 | 660 | 662.069 | 657.825-668.225 | 672 | ||||
7 | B | H | 728 | 726.983-740.516 | 735 | 730.145-742.278 | 734.213-746.346 | 746.667 | 746.65-758.783 | 753.103 | 758.971-771.105 | 770 | 772.414 | 767.463-779.596 | 784 | ||||
8 | B#/Hb | H#/Cb | 832 | 830.8375-844.704 | 840 | 834.451-848.318 | 839.101-852.967 | 853.333 | 853.314-867.181 | 860.69 | 867.396-881.262 | 880 | 882.759 | 877.1-890.967 | 896 | ||||
9 | H | C | 936 | 934.693-952.092 | 945 | 938.758-954.358 | 943.988-959.588 | 960 | 959.9785-975.5785 | 968.276 | 975.82-991.42 | 990 | 993.103 | 986.738-1002.338 | 1008 | ||||
10 | C | D | 1040 | 1038.547-1057.88 | 1050 | 1043.064-1060.3975 | 1048.876-1066.209 | 1066.667 | 1066.643-1083.976 | 1075.862 | 1084.245-1101.578 | 1100 | 1103.448 | 1096.3755-1113.709 | 1120 | ||||
11 | C#/Db | D#/Sb | 1144 | 1142.402-1163.668 | 1155 | 1147.3705-1166.437 | 1153.763-1172.83 | 1173.333 | 1173.307-1192.374 | 1183.448 | 1192.669-1211.736 | 1210 | 1213.379 | 1206.013-1225.08 | 1232 | ||||
12 | D | S | 1248 | 1246.256-1269.456 | 1260 | 1251.677-1272.477 | 1258.651-1279.451 | 1280 | 1279.971-1300.771 | 1291.034 | 1301.0395-1321.8935 | 1320 | 1324.138 | 1315.651-1336.451 | 1344 | ||||
13 | D#/Eb | S#/Eb | 1352 | 1353.111-1275.244 | 1365 | 1355.983-1378.517 | 1363.539-1386.072 | 1386.667 | 1386.636-1409.169 | 1398.621 | 1409.518-1425.288 | 1430 | 1424.483 | 1438.993-1447.8215 | 1456 | ||||
14 | E | 1456 | 1453.966-1481.032 | 1470 | 1460.29-1484.556 | 1468.426-1492.693 | 1493.333 | 1493.3-1517.567 | 1506.207 | 1517.9425-1534.926 | 1540 | 1544.827 | 1541.778-1559.192 | 1568 | |||||
15 | F | 1560 | 1557.82-1583.82 | 1575 | 1564.596-1590.596 | 1573.314-1599.314 | 1600 | 1599.964-1625.964 | 1613.793 | 1626.366-1652.366 | 1650 | 1655.172 | 1644.563-1670.563 | 1680 |
By a surprising coincidence, the 15ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every third degree of 34edo. Additionally, those of the modal Golden and Pyrite tenths are almost exactly +1/28-syntonic comma 4ed(5/4) (Intense Aeolian-Subpental Dorian), 9ed(5/3)/equal multiples of 18/17 (Subpental Dorian), 13ed(15/7) (Pental Dorian), 2ed(9/8) (Superpental Dorian), -1/12-syntonic comma 3ed(6/5) (Dorian-Mixolydian), 14ed(7/3)/equal multiples of 17/16/100π\3 cents (Subpental Mixolydian), 3ed(6/5) (Pental Mixolydian), -1/20-septimal comma 4ed(9/7)/-1/28-syntonic comma 14ed(12/5)/9ed(7/4) (Soft Superpental Mixolydian), 12ed(32/15) (Intense Superpental Mixolydian) and 8ed(5/3)/-1/9 schismic 9ed(16/9)/14ed(22/9) (Mixolydian-Ionian) respectively.