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This Long Common Practice minor mode is the neutral scale of the temperament family formerly named Fujiyama.
This Long Common Practice minor mode is the neutral scale of the temperament family formerly named Fujiyama.


Revision as of 14:00, 26 February 2022

This Long Common Practice minor mode is the neutral scale of the temperament family formerly named Fujiyama.

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 1305 cents is identical to repeating a Phrygian mode Napoli scale one tone later.

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