User:Moremajorthanmajor/9edIX: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
No edit summary
Line 23: Line 23:
|-
|-
|1
|1
|130-''133.333''
|128.889-''133.333''
|139.394
|139.394
| colspan="2" |136.349-143.016
| colspan="2" |135.238-144.127
|140.741-140.952
|140.741-140.952
| colspan="2" |138.889-146.1905
| colspan="2" |137.778-147.302
|144-''144.444''
|144-''144.444''
|146.667-150
|146.667-151.111
|-
|-
|2
|2
|260-''266.667''
|257.778-''266.667''
|278.788
|278.788
| colspan="2" |272.698-286.032
| colspan="2" |270.476-288.254
|281.4815-281.905
|281.4815-281.905
| colspan="2" |277.778-292.381
| colspan="2" |275.556-294.603
|288-''288.889''
|288-''288.889''
|293.333-300
|293.333-302.222
|-
|-
|3
|3
|390-''400''
|386.667-''400''
|418.182
|418.182
| colspan="2" |409.048-429.047
| colspan="2" |405.714-432.3841
|422.222-422.857
|422.222-422.857
| colspan="2" |416.667-438.571
| colspan="2" |413.333-441.905
|432-''433.333''
|432-''433.333''
|440-450
|440-453.333
|-
|-
|4
|4
|520-''533.333''
|515.556-''533.333''
|557.576
|557.576
| colspan="2" |545.397-559.0635
| colspan="2" |540.925-576.508
|562.963-563.8095
|562.963-563.8095
| colspan="2" |555.556-584.762
| colspan="2" |551.111-589.206
|576-''577.778''
|576-''577.778''
|586.667-600
|586.667-604.444
|-
|-
|5
|5
|650-''666.667''
|644.444-''666.667''
|696.97
|696.97
| colspan="2" |681.746-707.079
| colspan="2" |676.1905-720.635
|703.704-704.762
|703.704-704.762
| colspan="2" |694.444-730.952
| colspan="2" |688.889-736.508
|720-''722.222''
|720-''722.222''
|733.333-750
|733.333-755.556
|-
|-
|6
|6
|780-''800''
|773.333-''800''
|836.364
|836.364
| colspan="2" |818.095-858.095
| colspan="2" |811.459-865.762
|844.444-845.714
|844.444-845.714
| colspan="2" |833.333-877.142
| colspan="2" |826.667-883.8095
|864-''866.667''
|864-''866.667''
|880-900
|880-906.667
|-
|-
|7
|7
|910-''933.333''
|902.222-''933.333''
|975.7575
|975.7575
| colspan="2" |954.444-1001.111
| colspan="2" |946.667-1008.889
|985.185-986.666
|985.185-986.666
| colspan="2" |972.222-1023.333
| colspan="2" |964.444-1031.111
|1008-''1011.111''
|1008-''1011.111''
|1026.667-1050
|1026.667-1057.778
|-
|-
|8
|8
|1040-''1066.667''
|1031.111-''1066.667''
|1115.1515
|1115.1515
| colspan="2" |1090.794-1116.127
| colspan="2" |1081.905-1153.016
|1125.926-1127.619
|1125.926-1127.619
| colspan="2" |1121.111-1169.524
| colspan="2" |1112.222-1178.413
|1152-''1155.556''
|1152-''1155.556''
|1177.333-1200
|1177.333-1208.889
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 113: Line 113:
|-
|-
|1
|1
|143.333-146.667
|142.222-146.667
|147.368
|147.368
| colspan="2" |144.815-151.4815
| colspan="2" |143.704-152.593
|149.02
|149.02
| colspan="2" |146.667-153.333
| colspan="2" |145.556-154.444
|''150''
|''150''
|151.111
|151.111
|152.381-155.714
|152.381-156.825
|-
|-
|2
|2
|286.667-293.333
|284.444-293.333
|294.737
|294.737
| colspan="2" |289.629-302.923
| colspan="2" |287.407-305.185
|288.039
|288.039
| colspan="2" |293.333-306.667
| colspan="2" |291.111-308.889
|''300''
|''300''
|302.222
|302.222
|304.762-311.429
|304.762-313.651
|-
|-
|3
|3
|430-440
|426.667-440
|442.105
|442.105
| colspan="2" |434.444-454.444
| colspan="2" |431.111-457.778
|447.059
|447.059
| colspan="2" |440-460
| colspan="2" |436.667-463.333
|''450''
|''450''
|453.333
|453.333
|457.143-467.143
|457.143-470.476
|-
|-
|4
|4
|573.333-586.667
|568.889-586.667
|589.474
|589.474
| colspan="2" |579.259-595.926
| colspan="2" |574.815-610.37
|596.078
|596.078
| colspan="2" |586.667-613.333
| colspan="2" |582.222-617.778
|''600''
|''600''
|604.444
|604.444
|609.524-622.857
|609.524-627.302
|-
|-
|5
|5
|716.667-733.333
|711.111-733.333
|736.845
|736.845
| colspan="2" |724.074-747.407
| colspan="2" |718.5185-762.693
|745.098
|745.098
| colspan="2" |733.333-766.667
| colspan="2" |727.778-772.222
|''750''
|''750''
|755.556
|755.556
|761.905-777.571
|761.905-784.127
|-
|-
|6
|6
|860-880
|853.333-880
|884.2015
|884.2015
| colspan="2" |868.889-908.889
| colspan="2" |862.222-915.556
|894.118
|894.118
| colspan="2" |880-920
| colspan="2" |873.333-926.667
|''900''
|''900''
|906.667
|906.667
|914.286-934.286
|914.286-940.952
|-
|-
|7
|7
|1003.333-1026.667
|995.556-1026.667
|1031.158
|1031.158
| colspan="2" |1013.704-1060.37
| colspan="2" |1005.926-1068.148
|1043.137
|1043.137
| colspan="2" |1026.667-1073.333
| colspan="2" |1018.889-1081.111
|''1050''
|''1050''
|1057.778
|1057.778
|1066.667-1090
|1066.667-1097.778
|-
|-
|8
|8
|1151.667-1177.333
|1137.778-1177.333
|1178.947
|1178.947
| colspan="2" |1158.5185-1211.852
| colspan="2" |1149.63-1220.741
|1192.157
|1192.157
| colspan="2" |1177.333-1226.667
| colspan="2" |1164.444-1235.556
|''1200''
|''1200''
|1208.889
|1208.889
|1219.048-1245.714
|1219.048-1254.603
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 217: Line 217:
|-
|-
|1
|1
|149.048-152.381
|147.9365-152.381
|153.846
|153.846
| colspan="2" |150.513-157.1795
| colspan="2" |149.9065-158.795
|154.667
|154.667
| colspan="2" |152.222-158.889
| colspan="2" |151.111-160
| colspan="2" |''155.556''
| colspan="2" |''155.556''
|156.863
|156.863
| colspan="2" |154.242-160.909
| colspan="2" |153.131-162.02
|158.333
|158.333
|160-163.333
|160-164.444
|-
|-
|2
|2
|298.095-304.762
|295.873-304.762
|307.692
|307.692
| colspan="2" |301.026-314.359
| colspan="2" |299.813-317.591
|309.333
|309.333
| colspan="2" |304.444-317.778
| colspan="2" |302.222-320
| colspan="2" |''311.111''
| colspan="2" |''311.111''
|313.7255
|313.7255
| colspan="2" |308.485-321.818
| colspan="2" |306.263-324.04
|316.667
|316.667
|320-326.667
|320-328.887
|-
|-
|3
|3
|447.143-457.143
|443.8095-457.143
|461.5385
|461.5385
| colspan="2" |451.5385-471.5385
| colspan="2" |449.715-476.386
|464
|464
| colspan="2" |456.667-476.667
| colspan="2" |453.333-480
| colspan="2" |''466.667''
| colspan="2" |''466.667''
|470.588
|470.588
| colspan="2" |462.727-482.727
| colspan="2" |459.394-486.061
|475
|475
|480-490
|480-493.333
|-
|-
|4
|4
|596.1905-609.524
|591.746-609.524
|615.385
|615.385
| colspan="2" |602.051-628.718
| colspan="2" |599.626-635.181
|618.667
|618.667
| colspan="2" |608.889-635.556
| colspan="2" |604.444-640
| colspan="2" |''622.222''
| colspan="2" |''622.222''
|627.451
|627.451
| colspan="2" |616.97-643.636
| colspan="2" |612.525-648.081
|633.333
|633.333
|640-653.333
|640-657.778
|-
|-
|5
|5
|745.238-761.905
|739.6825-761.905
|769.231
|769.231
| colspan="2" |752.564-785.897
| colspan="2" |749.532-793.977
|773.333
|773.333
| colspan="2" |761.111-794.444
| colspan="2" |755.556-800
| colspan="2" |''777.778''
| colspan="2" |''777.778''
|784.314
|784.314
| colspan="2" |771.212-804.5455
| colspan="2" |765.657-810.101
|791.667
|791.667
|800-816.667
|800-822.222
|-
|-
|6
|6
|894.286-914.286
|887.916-914.286
|923.077
|923.077
| colspan="2" |903.077-943.077
| colspan="2" |899.439-952.772
|928
|928
| colspan="2" |913.333-953.333
| colspan="2" |906.667-960
| colspan="2" |''933.333''
| colspan="2" |''933.333''
|941.1765
|941.1765
| colspan="2" |925.4545-965.4545
| colspan="2" |918.788-972.121
|950
|950
|960-980
|960-986.667
|-
|-
|7
|7
|1043.333-1066.667
|1035.556-1066.667
|1076.923
|1076.923
| colspan="2" |1053.59-1100.146
| colspan="2" |1049.345-1111.567
|1072.667
|1072.667
| colspan="2" |1065.556-1112.222
| colspan="2" |1057.778-1120
| colspan="2" |''1088.889''
| colspan="2" |''1088.889''
|1098.804
|1098.804
| colspan="2" |1079.697-1126.364
| colspan="2" |1071.919-1134.141
|1108.333
|1108.333
|1120-1143.333
|1120-1151.111
|-
|-
|8
|8
|1192.381-1219.048
|1183.492-1219.048
|1230.769
|1230.769
| colspan="2" |1204.103-1257.436
| colspan="2" |1199.2515-1270.363
|1237.333
|1237.333
| colspan="2" |1217.778-1271.111
| colspan="2" |1208.889-1280
| colspan="2" |''1244.444''
| colspan="2" |''1244.444''
|1254.902
|1254.902
| colspan="2" |1233.939-1287.273
| colspan="2" |1225.0505-1296.162
|1266.667
|1266.667
|1280-1306.667
|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 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 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.