User:Moremajorthanmajor/9edIX: Difference between revisions
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| Line 23: | Line 23: | ||
|- | |- | ||
|1 | |1 | ||
| | |128.889-''133.333'' | ||
|139.394 | |139.394 | ||
| colspan="2" | | | colspan="2" |135.238-144.127 | ||
|140.741-140.952 | |140.741-140.952 | ||
| colspan="2" | | | colspan="2" |137.778-147.302 | ||
|144-''144.444'' | |144-''144.444'' | ||
|146.667- | |146.667-151.111 | ||
|- | |- | ||
|2 | |2 | ||
| | |257.778-''266.667'' | ||
|278.788 | |278.788 | ||
| colspan="2" | | | colspan="2" |270.476-288.254 | ||
|281.4815-281.905 | |281.4815-281.905 | ||
| colspan="2" | | | colspan="2" |275.556-294.603 | ||
|288-''288.889'' | |288-''288.889'' | ||
|293.333- | |293.333-302.222 | ||
|- | |- | ||
|3 | |3 | ||
| | |386.667-''400'' | ||
|418.182 | |418.182 | ||
| colspan="2" | | | colspan="2" |405.714-432.3841 | ||
|422.222-422.857 | |422.222-422.857 | ||
| colspan="2" | | | colspan="2" |413.333-441.905 | ||
|432-''433.333'' | |432-''433.333'' | ||
|440- | |440-453.333 | ||
|- | |- | ||
|4 | |4 | ||
| | |515.556-''533.333'' | ||
|557.576 | |557.576 | ||
| colspan="2" | | | colspan="2" |540.925-576.508 | ||
|562.963-563.8095 | |562.963-563.8095 | ||
| colspan="2" | | | colspan="2" |551.111-589.206 | ||
|576-''577.778'' | |576-''577.778'' | ||
|586.667- | |586.667-604.444 | ||
|- | |- | ||
|5 | |5 | ||
| | |644.444-''666.667'' | ||
|696.97 | |696.97 | ||
| colspan="2" | | | colspan="2" |676.1905-720.635 | ||
|703.704-704.762 | |703.704-704.762 | ||
| colspan="2" | | | colspan="2" |688.889-736.508 | ||
|720-''722.222'' | |720-''722.222'' | ||
|733.333- | |733.333-755.556 | ||
|- | |- | ||
|6 | |6 | ||
| | |773.333-''800'' | ||
|836.364 | |836.364 | ||
| colspan="2" | | | colspan="2" |811.459-865.762 | ||
|844.444-845.714 | |844.444-845.714 | ||
| colspan="2" | | | colspan="2" |826.667-883.8095 | ||
|864-''866.667'' | |864-''866.667'' | ||
|880- | |880-906.667 | ||
|- | |- | ||
|7 | |7 | ||
| | |902.222-''933.333'' | ||
|975.7575 | |975.7575 | ||
| colspan="2" | | | colspan="2" |946.667-1008.889 | ||
|985.185-986.666 | |985.185-986.666 | ||
| colspan="2" | | | colspan="2" |964.444-1031.111 | ||
|1008-''1011.111'' | |1008-''1011.111'' | ||
|1026.667- | |1026.667-1057.778 | ||
|- | |- | ||
|8 | |8 | ||
| | |1031.111-''1066.667'' | ||
|1115.1515 | |1115.1515 | ||
| colspan="2" | | | colspan="2" |1081.905-1153.016 | ||
|1125.926-1127.619 | |1125.926-1127.619 | ||
| colspan="2" | | | colspan="2" |1112.222-1178.413 | ||
|1152-''1155.556'' | |1152-''1155.556'' | ||
|1177.333- | |1177.333-1208.889 | ||
|} | |} | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 113: | Line 113: | ||
|- | |- | ||
|1 | |1 | ||
| | |142.222-146.667 | ||
|147.368 | |147.368 | ||
| colspan="2" | | | colspan="2" |143.704-152.593 | ||
|149.02 | |149.02 | ||
| colspan="2" | | | colspan="2" |145.556-154.444 | ||
|''150'' | |''150'' | ||
|151.111 | |151.111 | ||
|152.381- | |152.381-156.825 | ||
|- | |- | ||
|2 | |2 | ||
| | |284.444-293.333 | ||
|294.737 | |294.737 | ||
| colspan="2" | | | colspan="2" |287.407-305.185 | ||
|288.039 | |288.039 | ||
| colspan="2" | | | colspan="2" |291.111-308.889 | ||
|''300'' | |''300'' | ||
|302.222 | |302.222 | ||
|304.762- | |304.762-313.651 | ||
|- | |- | ||
|3 | |3 | ||
| | |426.667-440 | ||
|442.105 | |442.105 | ||
| colspan="2" | | | colspan="2" |431.111-457.778 | ||
|447.059 | |447.059 | ||
| colspan="2" | | | colspan="2" |436.667-463.333 | ||
|''450'' | |''450'' | ||
|453.333 | |453.333 | ||
|457.143- | |457.143-470.476 | ||
|- | |- | ||
|4 | |4 | ||
| | |568.889-586.667 | ||
|589.474 | |589.474 | ||
| colspan="2" | | | colspan="2" |574.815-610.37 | ||
|596.078 | |596.078 | ||
| colspan="2" | | | colspan="2" |582.222-617.778 | ||
|''600'' | |''600'' | ||
|604.444 | |604.444 | ||
|609.524- | |609.524-627.302 | ||
|- | |- | ||
|5 | |5 | ||
| | |711.111-733.333 | ||
|736.845 | |736.845 | ||
| colspan="2" | | | colspan="2" |718.5185-762.693 | ||
|745.098 | |745.098 | ||
| colspan="2" | | | colspan="2" |727.778-772.222 | ||
|''750'' | |''750'' | ||
|755.556 | |755.556 | ||
|761.905- | |761.905-784.127 | ||
|- | |- | ||
|6 | |6 | ||
| | |853.333-880 | ||
|884.2015 | |884.2015 | ||
| colspan="2" | | | colspan="2" |862.222-915.556 | ||
|894.118 | |894.118 | ||
| colspan="2" | | | colspan="2" |873.333-926.667 | ||
|''900'' | |''900'' | ||
|906.667 | |906.667 | ||
|914.286- | |914.286-940.952 | ||
|- | |- | ||
|7 | |7 | ||
| | |995.556-1026.667 | ||
|1031.158 | |1031.158 | ||
| colspan="2" | | | colspan="2" |1005.926-1068.148 | ||
|1043.137 | |1043.137 | ||
| colspan="2" | | | colspan="2" |1018.889-1081.111 | ||
|''1050'' | |''1050'' | ||
|1057.778 | |1057.778 | ||
|1066.667- | |1066.667-1097.778 | ||
|- | |- | ||
|8 | |8 | ||
| | |1137.778-1177.333 | ||
|1178.947 | |1178.947 | ||
| colspan="2" | | | colspan="2" |1149.63-1220.741 | ||
|1192.157 | |1192.157 | ||
| colspan="2" | | | colspan="2" |1164.444-1235.556 | ||
|''1200'' | |''1200'' | ||
|1208.889 | |1208.889 | ||
|1219.048- | |1219.048-1254.603 | ||
|} | |} | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 217: | Line 217: | ||
|- | |- | ||
|1 | |1 | ||
| | |147.9365-152.381 | ||
|153.846 | |153.846 | ||
| colspan="2" | | | colspan="2" |149.9065-158.795 | ||
|154.667 | |154.667 | ||
| colspan="2" | | | colspan="2" |151.111-160 | ||
| colspan="2" |''155.556'' | | colspan="2" |''155.556'' | ||
|156.863 | |156.863 | ||
| colspan="2" | | | colspan="2" |153.131-162.02 | ||
|158.333 | |158.333 | ||
|160- | |160-164.444 | ||
|- | |- | ||
|2 | |2 | ||
| | |295.873-304.762 | ||
|307.692 | |307.692 | ||
| colspan="2" | | | colspan="2" |299.813-317.591 | ||
|309.333 | |309.333 | ||
| colspan="2" | | | colspan="2" |302.222-320 | ||
| colspan="2" |''311.111'' | | colspan="2" |''311.111'' | ||
|313.7255 | |313.7255 | ||
| colspan="2" | | | colspan="2" |306.263-324.04 | ||
|316.667 | |316.667 | ||
|320- | |320-328.887 | ||
|- | |- | ||
|3 | |3 | ||
| | |443.8095-457.143 | ||
|461.5385 | |461.5385 | ||
| colspan="2" | | | colspan="2" |449.715-476.386 | ||
|464 | |464 | ||
| colspan="2" | | | colspan="2" |453.333-480 | ||
| colspan="2" |''466.667'' | | colspan="2" |''466.667'' | ||
|470.588 | |470.588 | ||
| colspan="2" | | | colspan="2" |459.394-486.061 | ||
|475 | |475 | ||
|480- | |480-493.333 | ||
|- | |- | ||
|4 | |4 | ||
| | |591.746-609.524 | ||
|615.385 | |615.385 | ||
| colspan="2" | | | colspan="2" |599.626-635.181 | ||
|618.667 | |618.667 | ||
| colspan="2" | | | colspan="2" |604.444-640 | ||
| colspan="2" |''622.222'' | | colspan="2" |''622.222'' | ||
|627.451 | |627.451 | ||
| colspan="2" | | | colspan="2" |612.525-648.081 | ||
|633.333 | |633.333 | ||
|640- | |640-657.778 | ||
|- | |- | ||
|5 | |5 | ||
| | |739.6825-761.905 | ||
|769.231 | |769.231 | ||
| colspan="2" | | | colspan="2" |749.532-793.977 | ||
|773.333 | |773.333 | ||
| colspan="2" | | | colspan="2" |755.556-800 | ||
| colspan="2" |''777.778'' | | colspan="2" |''777.778'' | ||
|784.314 | |784.314 | ||
| colspan="2" | | | colspan="2" |765.657-810.101 | ||
|791.667 | |791.667 | ||
|800- | |800-822.222 | ||
|- | |- | ||
|6 | |6 | ||
| | |887.916-914.286 | ||
|923.077 | |923.077 | ||
| colspan="2" | | | colspan="2" |899.439-952.772 | ||
|928 | |928 | ||
| colspan="2" | | | colspan="2" |906.667-960 | ||
| colspan="2" |''933.333'' | | colspan="2" |''933.333'' | ||
|941.1765 | |941.1765 | ||
| colspan="2" | | | colspan="2" |918.788-972.121 | ||
|950 | |950 | ||
|960- | |960-986.667 | ||
|- | |- | ||
|7 | |7 | ||
| | |1035.556-1066.667 | ||
|1076.923 | |1076.923 | ||
| colspan="2" | | | colspan="2" |1049.345-1111.567 | ||
|1072.667 | |1072.667 | ||
| colspan="2" | | | colspan="2" |1057.778-1120 | ||
| colspan="2" |''1088.889'' | | colspan="2" |''1088.889'' | ||
|1098.804 | |1098.804 | ||
| colspan="2" | | | colspan="2" |1071.919-1134.141 | ||
|1108.333 | |1108.333 | ||
|1120- | |1120-1151.111 | ||
|- | |- | ||
|8 | |8 | ||
| | |1183.492-1219.048 | ||
|1230.769 | |1230.769 | ||
| colspan="2" | | | colspan="2" |1199.2515-1270.363 | ||
|1237.333 | |1237.333 | ||
| colspan="2" | | | colspan="2" |1208.889-1280 | ||
| colspan="2" |''1244.444'' | | colspan="2" |''1244.444'' | ||
|1254.902 | |1254.902 | ||
| colspan="2" | | | colspan="2" |1225.0505-1296.162 | ||
|1266.667 | |1266.667 | ||
|1280- | |1280-1315.556 | ||
|}Golden/Pyrite Tunings±13¢ | |}Golden/Pyrite Tunings±13¢ | ||
{| class="wikitable" | {| class="wikitable" | ||
Revision as of 20:23, 9 June 2019
This Long Common Practice minor mode is the neutral scale of the Fujiyama temperament family.
Intervals
| Degrees | Soft Phrygian | Phrygian | |||||||
|---|---|---|---|---|---|---|---|---|---|
| Minimum-comma | Median | Maximum+comma | Thirdtone | Semitone | |||||
| Minimum-comma | Median | Maximum+comma | Minimum-comma | Median | Maximum+comma | ||||
| 1 | 128.889-133.333 | 139.394 | 135.238-144.127 | 140.741-140.952 | 137.778-147.302 | 144-144.444 | 146.667-151.111 | ||
| 2 | 257.778-266.667 | 278.788 | 270.476-288.254 | 281.4815-281.905 | 275.556-294.603 | 288-288.889 | 293.333-302.222 | ||
| 3 | 386.667-400 | 418.182 | 405.714-432.3841 | 422.222-422.857 | 413.333-441.905 | 432-433.333 | 440-453.333 | ||
| 4 | 515.556-533.333 | 557.576 | 540.925-576.508 | 562.963-563.8095 | 551.111-589.206 | 576-577.778 | 586.667-604.444 | ||
| 5 | 644.444-666.667 | 696.97 | 676.1905-720.635 | 703.704-704.762 | 688.889-736.508 | 720-722.222 | 733.333-755.556 | ||
| 6 | 773.333-800 | 836.364 | 811.459-865.762 | 844.444-845.714 | 826.667-883.8095 | 864-866.667 | 880-906.667 | ||
| 7 | 902.222-933.333 | 975.7575 | 946.667-1008.889 | 985.185-986.666 | 964.444-1031.111 | 1008-1011.111 | 1026.667-1057.778 | ||
| 8 | 1031.111-1066.667 | 1115.1515 | 1081.905-1153.016 | 1125.926-1127.619 | 1112.222-1178.413 | 1152-1155.556 | 1177.333-1208.889 | ||
| Degrees | Intense Phrygian | Intense Phrygian-Soft Aeolian | Soft Aeolian | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Minimum-comma | Median | Maximum+comma | Minimum-comma | Median | Maximum+comma | Minimum-comma | r¢ | Median | Maximum+comma | |
| 1 | 142.222-146.667 | 147.368 | 143.704-152.593 | 149.02 | 145.556-154.444 | 150 | 151.111 | 152.381-156.825 | ||
| 2 | 284.444-293.333 | 294.737 | 287.407-305.185 | 288.039 | 291.111-308.889 | 300 | 302.222 | 304.762-313.651 | ||
| 3 | 426.667-440 | 442.105 | 431.111-457.778 | 447.059 | 436.667-463.333 | 450 | 453.333 | 457.143-470.476 | ||
| 4 | 568.889-586.667 | 589.474 | 574.815-610.37 | 596.078 | 582.222-617.778 | 600 | 604.444 | 609.524-627.302 | ||
| 5 | 711.111-733.333 | 736.845 | 718.5185-762.693 | 745.098 | 727.778-772.222 | 750 | 755.556 | 761.905-784.127 | ||
| 6 | 853.333-880 | 884.2015 | 862.222-915.556 | 894.118 | 873.333-926.667 | 900 | 906.667 | 914.286-940.952 | ||
| 7 | 995.556-1026.667 | 1031.158 | 1005.926-1068.148 | 1043.137 | 1018.889-1081.111 | 1050 | 1057.778 | 1066.667-1097.778 | ||
| 8 | 1137.778-1177.333 | 1178.947 | 1149.63-1220.741 | 1192.157 | 1164.444-1235.556 | 1200 | 1208.889 | 1219.048-1254.603 | ||
| Degrees | Aeolian | Intense Aeolian | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Flattone | Meantone | Superpyth | Ultrapyth | |||||||||||
| Minimum-comma | Median | Maximum+comma | Minimum-comma | Median | Maximum+comma | Minimum-comma | r¢ | Median | Maximum+comma | Minimum-comma | Median | Maximum+comma | ||
| 1 | 147.9365-152.381 | 153.846 | 149.9065-158.795 | 154.667 | 151.111-160 | 155.556 | 156.863 | 153.131-162.02 | 158.333 | 160-164.444 | ||||
| 2 | 295.873-304.762 | 307.692 | 299.813-317.591 | 309.333 | 302.222-320 | 311.111 | 313.7255 | 306.263-324.04 | 316.667 | 320-328.887 | ||||
| 3 | 443.8095-457.143 | 461.5385 | 449.715-476.386 | 464 | 453.333-480 | 466.667 | 470.588 | 459.394-486.061 | 475 | 480-493.333 | ||||
| 4 | 591.746-609.524 | 615.385 | 599.626-635.181 | 618.667 | 604.444-640 | 622.222 | 627.451 | 612.525-648.081 | 633.333 | 640-657.778 | ||||
| 5 | 739.6825-761.905 | 769.231 | 749.532-793.977 | 773.333 | 755.556-800 | 777.778 | 784.314 | 765.657-810.101 | 791.667 | 800-822.222 | ||||
| 6 | 887.916-914.286 | 923.077 | 899.439-952.772 | 928 | 906.667-960 | 933.333 | 941.1765 | 918.788-972.121 | 950 | 960-986.667 | ||||
| 7 | 1035.556-1066.667 | 1076.923 | 1049.345-1111.567 | 1072.667 | 1057.778-1120 | 1088.889 | 1098.804 | 1071.919-1134.141 | 1108.333 | 1120-1151.111 | ||||
| 8 | 1183.492-1219.048 | 1230.769 | 1199.2515-1270.363 | 1237.333 | 1208.889-1280 | 1244.444 | 1254.902 | 1225.0505-1296.162 | 1266.667 | 1280-1315.556 | ||||
Golden/Pyrite Tunings±13¢
| Degrees | Soft Phrygian | Phrygian | ||||
|---|---|---|---|---|---|---|
| Min-Med | Min-Max/Med-Max | Thirdtone | Semitone | |||
| Min-Med/Min-Max | Med-Max | Min-Med/Min-Max | Med-Max | |||
| 1 | 137.784-140.673 | 138.057-140.9455 | 138.6045-142.053 | 139.8-142.744 | 142.075-145.468 | 143.084-146.444 |
| 2 | 275.568-281.346 | 276.113-281.891 | 277.209-284.107 | 279.6-285.549 | 284.149-290.9365 | 286.168-293.287 |
| 3 | 413.352-422.018 | 414.17-422.836 | 415.814-426.16 | 419.4-428.323 | 426.224-436.405 | 429.252-439.933 |
| 4 | 551.136-562.691 | 552.226-563.782 | 554.418-568.213 | 559.2-571.0975 | 568.299-581.873 | 572.3365-586.577 |
| 5 | 688.919-703.364 | 690.283-704.727 | 693.023-710.267 | 699-713.872 | 710.373-727.341 | 715.42-733.222 |
| 6 | 826.70-844.037 | 828.3395-845.673 | 831.627-852.32 | 838.7995-856.646 | 853.448-872.81 | 858.505-879.866 |
| 7 | 964.487-984.7095 | 966.396-986.6148 | 970.232-994.373 | 978.5995-999.421 | 994.5225-1018.278 | 1001.589-1026.51 |
| 8 | 1102.271-1125.382- | 1104.453-1127.564 | 1108.836-1136.427 | 1118.399-1142.195 | 1136.597-1163.746 | 1144.673-1173.155 |
| Degrees | Intense Phrygian | Intense Phrygian-Soft Aeolian | Soft Aeolian | |||
|---|---|---|---|---|---|---|
| Min-Med/Min-Max | Med-Max | Min-Med/Min-Max | Med-Max | Min-Med/Min-Max | Med-Max | |
| 1 | 145.751-148.641 | 146.101-148.99 | 147.36-150.249 | 147.796-150.685 | 149.391-152.28 | 149.951-152.84 |
| 2 | 291.5035-297.282 | 292.201-297.979 | 294.721-300.498 | 295.592-301.37 | 298.782-304.56 | 299.902-305.68 |
| 3 | 437.255-445.922 | 438.302-446.968 | 442.081-450.748 | 443.388-452.055 | 448.174-456.84 | 449.853-458.519 |
| 4 | 583.007-594.5625 | 584.402-595.958 | 589.441-600.997 | 591.164-602.74 | 597.565-609.12 | 599.804-611.359 |
| 5 | 728.759-743.203 | 730.502-744.947 | 736.802-751.246 | 738.98-753.425 | 746.956-761.4005 | 749.755-764.199 |
| 6 | 874.51-891.844 | 876.603-893.937 | 884.161-901.495 | 886.776-904.11 | 896.347-913.681 | 899.7055-917.039 |
| 7 | 1020.262-1040.484 | 1022.704-1042.926 | 1031.522-1051.7445 | 1034.572-1054.795 | 1045.7385-1065.961 | 1049.6565-1069.879 |
| 8 | 1166.014-1189.125 | 1168.804-1191.9155 | 1178.883-1201.994 | 1182.269-1205.48 | 1195.13-1216.241 | 1199.607-1222.7185 |
| Degrees | Aeolian | Intense Aeolian | ||||||
|---|---|---|---|---|---|---|---|---|
| Flattone | Meantone | Superpyth | Ultrapyth | |||||
| Min-Med | Med-Max~Min-Max | Min-Med/Min-Max | Med-Max | Min-Med | Min-Max/Med-Max | Min-Med/Min-Max | Med-Max | |
| 1 | 152.036-154.925 | 152.67-156.021 | 153.337-156.226 | 154.185-157.074 | 155.622-158.511 | 156.663-159.552 | 157.159-160.047 | |
| 2 | 304.072-309.85 | 305.139-312.043 | 306.673-312.451 | 310.368-316.146 | 311.244-317.022 | 313.325-319.103 | 314.317-320.095 | |
| 3 | 456.108-464.774 | 457.809-468.064 | 460.011-468.678 | 465.553-478.22 | 466.866-475.532 | 469.989-478.655 | 471.476-480.142 | |
| 4 | 608.144-619.699 | 610.278-624.085 | 613.348-624.903 | 620.737-632.293 | 622.488-634.044 | 626.652-638.208 | 628.635-640.189 | |
| 5 | 760.192-774.623 | 762.838-780.107 | 766.685-781.109 | 775.921-790.3655 | 778.11-792.554 | 783.315-797.759 | 785.794-800.238 | |
| 6 | 912.215-929.549 | 915.418-936.128 | 920.023-937.356 | 931.105-948.439 | 934.066-950.732 | 940.315-956.978 | 942.952-960.286 | |
| 7 | 1064.251-1084.473 | 1067.988-1092.15 | 1073.359-1093.5815 | 1086.29-1106.512 | 1089.354-1109.576 | 1096.64-1116.862 | 1100.111-1120.333 | |
| 8 | 1216.286-1239.398 | 1220.557-1248.172 | 1226.696-1249.808 | 1241.473-1264.585 | 1244.975-1268.087 | 1253.303-1276.415 | 1257.27-1280.381 | |
By coincidence, using an equivalence wider than 1350 cents is identical to repeating a Phrygian mode Napoli scale one tone later.