User:Moremajorthanmajor/9edIX: Difference between revisions
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|1 | |1 | ||
|133.333 | |''133.333'' | ||
|137.784-140.673 | |||
|139.394 | |||
|138.057-140.9455 | |||
| colspan="2" |139.6825 | |||
|138.6045-142.053 | |||
|140.741-140.952 | |140.741-140.952 | ||
|139.8-142.744 | |||
| colspan="2" |142.222-142.857 | | colspan="2" |142.222-142.857 | ||
|142.075-145.468 | |||
|144-''144.444'' | |||
|143.084-146.444 | |||
|145.16-148.049 | |145.16-148.049 | ||
|146.667 | |146.667 | ||
|- | |- | ||
|2 | |2 | ||
|266.667 | |''266.667'' | ||
|275.568-281.346 | |||
|278.788 | |||
|276.113-281.891 | |||
| colspan="2" |279.365 | |||
|277.209-284.107 | |||
|281.4815-281.905 | |281.4815-281.905 | ||
|279.6-285.549 | |||
| colspan="2" |284.444-285.714 | | colspan="2" |284.444-285.714 | ||
|284.149-290.9365 | |||
|288-''288.889'' | |||
|286.168-293.287 | |||
|290.321-296.098 | |290.321-296.098 | ||
|293.333 | |293.333 | ||
|- | |- | ||
|3 | |3 | ||
|400 | |''400'' | ||
|413.352-422.018 | |||
|418.182 | |||
|414.17-422.836 | |||
| colspan="2" |419.048 | |||
|415.814-426.16 | |||
|422.222-422.857 | |422.222-422.857 | ||
|419.4-428.323 | |||
| colspan="2" |426.667-428.429 | | colspan="2" |426.667-428.429 | ||
|426.224-436.405 | |||
|432-''433.333'' | |||
|429.252-439.933 | |||
|435.481-444.148 | |435.481-444.148 | ||
|440 | |440 | ||
|- | |- | ||
|4 | |4 | ||
|533.333 | |''533.333'' | ||
|551.136-562.691 | |||
|557.576 | |||
|552.226-563.782 | |||
| colspan="2" |558.73 | |||
|554.418-568.213 | |||
|562.963-563.8095 | |562.963-563.8095 | ||
|559.2-571.0975 | |||
| colspan="2" |568.889-571.429 | | colspan="2" |568.889-571.429 | ||
|568.299-581.873 | |||
|576-''577.778'' | |||
|572.3365-586.577 | |||
|580.641-592.197 | |580.641-592.197 | ||
|586.667 | |586.667 | ||
|- | |- | ||
|5 | |5 | ||
|666.667 | |''666.667'' | ||
|688.919-703.364 | |||
|696.97 | |||
|690.283-704.727 | |||
| colspan="2" |698.413 | |||
|693.023-710.267 | |||
|703.704-704.762 | |703.704-704.762 | ||
|699-713.872 | |||
| colspan="2" |711.111-714.286 | | colspan="2" |711.111-714.286 | ||
|710.373-727.341 | |||
|720-''722.222'' | |||
|715.42-733.222 | |||
|725.802-740.246 | |725.802-740.246 | ||
|733.333 | |733.333 | ||
|- | |- | ||
|6 | |6 | ||
|800 | |''800'' | ||
|826.70-844.037 | |||
|836.364 | |||
|828.3395-845.673 | |||
| colspan="2" |838.095 | |||
|831.627-852.32 | |||
|844.444-845.714 | |844.444-845.714 | ||
|838.7995-856.646 | |||
| colspan="2" |853.333-857.142 | | colspan="2" |853.333-857.142 | ||
|853.448-872.81 | |||
|864-''866.667'' | |||
|858.505-879.866 | |||
|870.962-888.295 | |870.962-888.295 | ||
|880 | |880 | ||
|- | |- | ||
|7 | |7 | ||
|933.333 | |''933.333'' | ||
|964.487-984.7095 | |||
|975.7575 | |||
|966.396-986.6148 | |||
| colspan="2" |977.778 | |||
|970.232-994.373 | |||
|985.185-986.666-7 | |985.185-986.666-7 | ||
|978.5995-999.421 | |||
| colspan="2" |995.556-1000 | | colspan="2" |995.556-1000 | ||
|994.5225-1018.278 | |||
|1008-''1011.111'' | |||
|1001.589-1026.51 | |||
|1016.122-1036.344 | |1016.122-1036.344 | ||
|1026.667 | |1026.667 | ||
|- | |- | ||
|8 | |8 | ||
|1066.667 | |''1066.667'' | ||
|1102.271-1125.382- | |||
|1115.1515 | |||
|1104.453-1127.564 | |||
| colspan="2" |1116.46 | |||
|1108.836-1136.427 | |||
|1125.926-1127.619 | |1125.926-1127.619 | ||
|1118.399-1142.195 | |||
| colspan="2" |1137.778-1142.857 | | colspan="2" |1137.778-1142.857 | ||
|1136.597-1163.746 | |||
|1152-''1155.556'' | |||
|1144.673-1173.155 | |||
|1161.2825-1184.395 | |1161.2825-1184.395 | ||
|1177.333 | |1177.333 | ||
| Line 190: | Line 190: | ||
|149.02 | |149.02 | ||
|147.796-150.685 | |147.796-150.685 | ||
| colspan="2" |150 | | colspan="2" |''150'' | ||
|149.391-152.28 | |149.391-152.28 | ||
|151.111 | |151.111 | ||
| Line 206: | Line 206: | ||
|288.039 | |288.039 | ||
|295.592-301.37 | |295.592-301.37 | ||
| colspan="2" |300 | | colspan="2" |''300'' | ||
|298.782-304.56 | |298.782-304.56 | ||
|302.222 | |302.222 | ||
| Line 222: | Line 222: | ||
|447.059 | |447.059 | ||
|443.388-452.055 | |443.388-452.055 | ||
| colspan="2" |450 | | colspan="2" |''450'' | ||
|448.174-456.84 | |448.174-456.84 | ||
|453.333 | |453.333 | ||
| Line 238: | Line 238: | ||
|596.078 | |596.078 | ||
|591.164-602.74 | |591.164-602.74 | ||
| colspan="2" |600 | | colspan="2" |''600'' | ||
|597.565-609.12 | |597.565-609.12 | ||
|604.444 | |604.444 | ||
| Line 254: | Line 254: | ||
|745.098 | |745.098 | ||
|738.98-753.425 | |738.98-753.425 | ||
| colspan="2" |750 | | colspan="2" |''750'' | ||
|746.956-761.4005 | |746.956-761.4005 | ||
|755.556 | |755.556 | ||
| Line 270: | Line 270: | ||
|894.118 | |894.118 | ||
|886.776-904.11 | |886.776-904.11 | ||
| colspan="2" |900 | | colspan="2" |''900'' | ||
|896.347-913.681 | |896.347-913.681 | ||
|906.667 | |906.667 | ||
| Line 286: | Line 286: | ||
|1043.137 | |1043.137 | ||
|1034.572-1054.795 | |1034.572-1054.795 | ||
| colspan="2" |1050 | | colspan="2" |''1050'' | ||
|1045.7385-1065.961 | |1045.7385-1065.961 | ||
|1057.778 | |1057.778 | ||
| Line 302: | Line 302: | ||
|1192.157 | |1192.157 | ||
|1182.269-1205.48 | |1182.269-1205.48 | ||
| colspan="2" |1200 | | colspan="2" |''1200'' | ||
|1195.13-1216.241 | |1195.13-1216.241 | ||
|1208.889 | |1208.889 | ||
| Line 329: | Line 329: | ||
|152.381 | |152.381 | ||
|152.036-154.925 | |152.036-154.925 | ||
|153.846 | |||
|152.781-155.67 | |||
| colspan="2" |155.556 | | colspan="2" |''155.556'' | ||
|154.546-157.434 | |154.546-157.434 | ||
|155.622-158.511 | |155.622-158.511 | ||
|157.576 | |||
|156.663-159.552 | |||
|160 | |160 | ||
|- | |- | ||
| Line 341: | Line 341: | ||
|304.762 | |304.762 | ||
|304.072-309.8495 | |304.072-309.8495 | ||
|307.692 | |||
|305.562-311.34 | |||
| colspan="2" |311.111 | | colspan="2" |''311.111'' | ||
|309.091-314.869 | |309.091-314.869 | ||
|311.244-317.022 | |311.244-317.022 | ||
|315.1515 | |||
|313.326-319.104 | |||
|320 | |320 | ||
|- | |- | ||
| Line 353: | Line 353: | ||
|457.143 | |457.143 | ||
|456.408-464.774 | |456.408-464.774 | ||
|461.5385 | |||
|458.343-467.01 | |||
| colspan="2" |466.667 | | colspan="2" |''466.667'' | ||
|463.637-473.303 | |463.637-473.303 | ||
|466.866-475.533 | |466.866-475.533 | ||
|472.727 | |||
|469.989-478.656 | |||
|480 | |480 | ||
|- | |- | ||
| Line 365: | Line 365: | ||
|609.524 | |609.524 | ||
|608.143-619.699 | |608.143-619.699 | ||
|615.385 | |||
|611.124-622.68 | |||
| colspan="2" |622.222 | | colspan="2" |''622.222'' | ||
|618.182-629.738 | |618.182-629.738 | ||
|622.488-634.0435 | |622.488-634.0435 | ||
|630.303 | |||
|626.652-638.2075 | |||
|640 | |640 | ||
|- | |- | ||
| Line 377: | Line 377: | ||
|761.905 | |761.905 | ||
|760.179-774.624 | |760.179-774.624 | ||
|769.231 | |||
|763.9055-778.35 | |||
| colspan="2" |777.778 | | colspan="2" |''777.778'' | ||
|772.728-787.172 | |772.728-787.172 | ||
|778.11-792.554 | |778.11-792.554 | ||
|787.879 | |||
|783.315-797.759 | |||
|800 | |800 | ||
|- | |- | ||
| Line 389: | Line 389: | ||
|914.286 | |914.286 | ||
|912.215-929.5845 | |912.215-929.5845 | ||
|923.077 | |||
|916.687-934.02 | |||
| colspan="2" |933.333 | | colspan="2" |''933.333'' | ||
|927.273-944.607 | |927.273-944.607 | ||
|933.732-951.065 | |933.732-951.065 | ||
|945.4545 | |||
|939.978-957.311 | |||
|960 | |960 | ||
|- | |- | ||
| Line 401: | Line 401: | ||
|1066.667 | |1066.667 | ||
|1064.251-1084.473 | |1064.251-1084.473 | ||
|1076.923 | |||
|1069.468-1089.69 | |||
| colspan="2" |1088.889 | | colspan="2" |''1088.889'' | ||
|1081.819-1102.041 | |1081.819-1102.041 | ||
|1089.354-1109.576 | |1089.354-1109.576 | ||
|1103.03 | |||
|1096.641-1116.863 | |||
|1120 | |1120 | ||
|- | |- | ||
| Line 413: | Line 413: | ||
|1219.048 | |1219.048 | ||
|1216.387-1239.398 | |1216.387-1239.398 | ||
|1230.769 | |||
|1222.249-1245.36 | |||
| colspan="2" |1244.444 | | colspan="2" |''1244.444'' | ||
|1236.364-1259.476 | |1236.364-1259.476 | ||
|1244.976-1268.087 | |1244.976-1268.087 | ||
|1260.606 | |||
|1253.304-1276.415 | |||
|1280 | |1280 | ||
|}By coincidence, using an equivalence wider than 1350 cents is identical to repeating a Phrygian mode Napoli scale one tone later. | |}By coincidence, using an equivalence wider than 1350 cents is identical to repeating a Phrygian mode Napoli scale one tone later. | ||
Revision as of 19:32, 28 December 2018
This Long Common Practice minor mode is the neutral scale of the Fujiyama temperament family.
Intervals
| Degrees | Soft Phrygian | Phrygian | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Minimum | Min-Med±13¢ | Median | Min-Max/Med-Max±13¢ | Maximum | Thirdtone | Semitone | ||||||||||
| Minimum | Min-Med/Min-Max±13¢ | Median | Med-Max±13¢ | Maximum | Minimum | Min-Med/Min-Max±13¢ | Median | Med-Max±13¢ | 15/7±13¢ | Maximum | ||||||
| 1 | 133.333 | 137.784-140.673 | 139.394 | 138.057-140.9455 | 139.6825 | 138.6045-142.053 | 140.741-140.952 | 139.8-142.744 | 142.222-142.857 | 142.075-145.468 | 144-144.444 | 143.084-146.444 | 145.16-148.049 | 146.667 | ||
| 2 | 266.667 | 275.568-281.346 | 278.788 | 276.113-281.891 | 279.365 | 277.209-284.107 | 281.4815-281.905 | 279.6-285.549 | 284.444-285.714 | 284.149-290.9365 | 288-288.889 | 286.168-293.287 | 290.321-296.098 | 293.333 | ||
| 3 | 400 | 413.352-422.018 | 418.182 | 414.17-422.836 | 419.048 | 415.814-426.16 | 422.222-422.857 | 419.4-428.323 | 426.667-428.429 | 426.224-436.405 | 432-433.333 | 429.252-439.933 | 435.481-444.148 | 440 | ||
| 4 | 533.333 | 551.136-562.691 | 557.576 | 552.226-563.782 | 558.73 | 554.418-568.213 | 562.963-563.8095 | 559.2-571.0975 | 568.889-571.429 | 568.299-581.873 | 576-577.778 | 572.3365-586.577 | 580.641-592.197 | 586.667 | ||
| 5 | 666.667 | 688.919-703.364 | 696.97 | 690.283-704.727 | 698.413 | 693.023-710.267 | 703.704-704.762 | 699-713.872 | 711.111-714.286 | 710.373-727.341 | 720-722.222 | 715.42-733.222 | 725.802-740.246 | 733.333 | ||
| 6 | 800 | 826.70-844.037 | 836.364 | 828.3395-845.673 | 838.095 | 831.627-852.32 | 844.444-845.714 | 838.7995-856.646 | 853.333-857.142 | 853.448-872.81 | 864-866.667 | 858.505-879.866 | 870.962-888.295 | 880 | ||
| 7 | 933.333 | 964.487-984.7095 | 975.7575 | 966.396-986.6148 | 977.778 | 970.232-994.373 | 985.185-986.666-7 | 978.5995-999.421 | 995.556-1000 | 994.5225-1018.278 | 1008-1011.111 | 1001.589-1026.51 | 1016.122-1036.344 | 1026.667 | ||
| 8 | 1066.667 | 1102.271-1125.382- | 1115.1515 | 1104.453-1127.564 | 1116.46 | 1108.836-1136.427 | 1125.926-1127.619 | 1118.399-1142.195 | 1137.778-1142.857 | 1136.597-1163.746 | 1152-1155.556 | 1144.673-1173.155 | 1161.2825-1184.395 | 1177.333 | ||
| Degrees | Intense Phrygian | Intense Phrygian-Soft Aeolian | Soft Aeolian | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Minimum | Min-Med/Min-Max±13¢ | Median | Med-Max±13¢ | Maximum | Minimum | Min-Med/Min-Max±13¢ | Median | Med-Max±13¢ | Maximum | Minimum | Min-Med/Min-Max±13¢ | Median | Med-Max±13¢ | 11/5±13¢ | Maximum | |
| 1 | 146.667 | 145.751-148.641 | 147.368 | 146.101-148.99 | 148.148 | 147.36-150.249 | 149.02 | 147.796-150.685 | 150 | 149.391-152.28 | 151.111 | 149.951-152.84 | 150.223-153.112 | 152.381 | ||
| 2 | 293.333 | 291.5035-297.282 | 294.737 | 292.201-297.979 | 296.296 | 294.721-300.498 | 288.039 | 295.592-301.37 | 300 | 298.782-304.56 | 302.222 | 299.902-305.68 | 300.445-306.223 | 304.762 | ||
| 3 | 440 | 437.255-445.922 | 442.105 | 438.302-446.968 | 444.444 | 442.081-450.748 | 447.059 | 443.388-452.055 | 450 | 448.174-456.84 | 453.333 | 449.853-458.519 | 450.668459.335 | 457.143 | ||
| 4 | 586.667 | 583.007-594.5625 | 589.474 | 584.402-595.958 | 592.593 | 589.441-600.997 | 596.078 | 591.164-602.74 | 600 | 597.565-609.12 | 604.444 | 599.804-611.359 | 600.891-612.446 | 609.524 | ||
| 5 | 733.333 | 728.759-743.203 | 736.845 | 730.502-744.947 | 740.741 | 736.802-751.246 | 745.098 | 738.98-753.425 | 750 | 746.956-761.4005 | 755.556 | 749.755-764.199 | 751.1135-765.558 | 761.905 | ||
| 6 | 880 | 874.51-891.844 | 884.2015 | 876.603-893.937 | 888.889 | 884.161-901.495 | 894.118 | 886.776-904.11 | 900 | 896.347-913.681 | 906.667 | 899.7055-917.039 | 901.336-918.6695 | 914.286 | ||
| 7 | 1026.667 | 1020.262-1040.484 | 1031.158 | 1022.704-1042.926 | 1037.037 | 1031.522-1051.7445 | 1043.137 | 1034.572-1054.795 | 1050 | 1045.7385-1065.961 | 1057.778 | 1049.6565-1069.879 | 1051.559-1071.781 | 1066.667 | ||
| 8 | 1177.333 | 1166.014-1189.125 | 1178.947 | 1168.804-1191.9155 | 1185.1858 | 1178.883-1201.994 | 1192.157 | 1182.269-1205.48 | 1200 | 1195.13-1216.241 | 1208.889 | 1199.607-1222.7185 | 1201.7815-1224.893 | 1219.048 | ||
| Degrees | Aeolian | Intense Aeolian | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Minimum | Min-Med/Min-Max±13¢ | Median | Med-Max±13¢ | Maximum | Minimum | 9/4±13¢ | Min-Med/Min-Max±13¢ | Median | Med-Max±13¢ | Maximum | |
| 1 | 152.381 | 152.036-154.925 | 153.846 | 152.781-155.67 | 155.556 | 154.546-157.434 | 155.622-158.511 | 157.576 | 156.663-159.552 | 160 | |
| 2 | 304.762 | 304.072-309.8495 | 307.692 | 305.562-311.34 | 311.111 | 309.091-314.869 | 311.244-317.022 | 315.1515 | 313.326-319.104 | 320 | |
| 3 | 457.143 | 456.408-464.774 | 461.5385 | 458.343-467.01 | 466.667 | 463.637-473.303 | 466.866-475.533 | 472.727 | 469.989-478.656 | 480 | |
| 4 | 609.524 | 608.143-619.699 | 615.385 | 611.124-622.68 | 622.222 | 618.182-629.738 | 622.488-634.0435 | 630.303 | 626.652-638.2075 | 640 | |
| 5 | 761.905 | 760.179-774.624 | 769.231 | 763.9055-778.35 | 777.778 | 772.728-787.172 | 778.11-792.554 | 787.879 | 783.315-797.759 | 800 | |
| 6 | 914.286 | 912.215-929.5845 | 923.077 | 916.687-934.02 | 933.333 | 927.273-944.607 | 933.732-951.065 | 945.4545 | 939.978-957.311 | 960 | |
| 7 | 1066.667 | 1064.251-1084.473 | 1076.923 | 1069.468-1089.69 | 1088.889 | 1081.819-1102.041 | 1089.354-1109.576 | 1103.03 | 1096.641-1116.863 | 1120 | |
| 8 | 1219.048 | 1216.387-1239.398 | 1230.769 | 1222.249-1245.36 | 1244.444 | 1236.364-1259.476 | 1244.976-1268.087 | 1260.606 | 1253.304-1276.415 | 1280 | |
By coincidence, using an equivalence wider than 1350 cents is identical to repeating a Phrygian mode Napoli scale one tone later.