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| | This reformed minor mode is the neutral scale of the Napoli and Fujiyama temperament families in Long Common Practice. It also gives the wide values for the period of the Greater [[Ragismic microtemperaments#Octoid|Octoid]] and [[Schismatic family#Octant|octant]] temperaments. |
| This reformed minor mode is the neutral scale of the Napoli and Fujiyama temperament families in Long Common Practice . | |
|
| |
|
| ==Intervals== | | ==Intervals== |
| {| class="wikitable" | | {| class="wikitable" |
| | |+ |
| | !Nonet |
| | !Period |
| | !Notes |
| |- | | |- |
| ! rowspan="3" |Degrees
| | |1/1 |
| ! colspan="3" |Soft Phrygian
| | |''150.000'' |
| ! colspan="6" |Phrygian
| | |Soft Phrygian mode begins |
| |- | | |- |
| ! rowspan="2" |Minimum-comma
| | |25\24 |
| ! rowspan="2" |Median
| | |''156.250'' |
| ! rowspan="2" |Maximum+comma
| | | |
| ! colspan="3" |Thirdtone
| |
| ! colspan="3" |Semitone
| |
| |- | | |- |
| !Minimum-comma
| | |24\23 |
| !Median
| | |156.522 |
| ! colspan="2" |Maximum+comma~Minimum-comma
| | | |
| !Median
| |
| !Maximum+comma
| |
| |- | | |- |
| |1 | | |23/22 |
| |145-''150''
| |
| |156.818 | | |156.818 |
| | colspan="2" |152.143-162.143 | | | |
| |158.333-158.571
| |
| | colspan="2" |155-165.714
| |
| |162-''162.5''
| |
| |165-170
| |
| |- | | |- |
| |2 | | |22\21 |
| |290-''300'' | | |157.143 |
| |313.636
| | |Soft Phrygian mode ends, Thirdtone Phrygian mode begins |
| | colspan="2" |306.286-324.286
| |
| |316.667-317.143
| |
| | colspan="2" |310-331.429 | |
| |324-''325''
| |
| |330-340
| |
| |- | | |- |
| |3 | | |21\20 |
| |435-''450'' | | |157.500 |
| |470.4545
| | | |
| | colspan="2" |458.429-486.429
| |
| |475-475.714
| |
| | colspan="2" |465-497.143
| |
| |486-''487.5''
| |
| |495-510 | |
| |- | | |- |
| |4 | | |20\19 |
| |580-''600'' | | |157.895 |
| |627.273
| | | |
| | colspan="2" |608.571-648.571
| |
| |633.333-634.286
| |
| | colspan="2" |620-666.857
| |
| |648-''650''
| |
| |660-680 | |
| |- | | |- |
| |5 | | |19\18 |
| |725-''750'' | | |158.333 |
| |784.091
| | | |
| | colspan="2" |760.714-810.714
| |
| |791.667-792.857
| |
| | colspan="2" |775-827.571
| |
| |810-''812.5''
| |
| |825-850 | |
| |- | | |- |
| |6 | | |37\35 |
| |870-''900'' | | |158.571 |
| |940.909
| | | |
| | colspan="2" |912.857-972.857
| |
| |950-951.429
| |
| | colspan="2" |930-993.286
| |
| |972-''975''
| |
| |990-1020 | |
| |- | | |- |
| |7 | | |18\17 |
| |1015-''1050'' | | |158.824 |
| |1097.727
| | | |
| | colspan="2" |1065-1135
| |
| |1108.333-1110
| |
| | colspan="2" |1085-1160
| |
| |1134-''1137.5''
| |
| |1155-1190
| |
| |}
| |
| {| class="wikitable"
| |
| |- | | |- |
| ! rowspan="2" |Degrees
| | |17\16 |
| ! colspan="3" |Intense Phrygian
| | |159.375 |
| ! colspan="3" |Intense Phrygian-Soft Aeolian
| | | |
| ! colspan="4" |Soft Aeolian
| |
| |- | | |- |
| !Minimum-comma
| | |16\15 |
| !Median
| | |160.000 |
| ! colspan="2" |Maximum+comma~Minimum-comma
| | |Thirdtone Phrygian mode ends |
| !Median
| |
| ! colspan="2" |Maximum+comma~Minimum-comma
| |
| !''r¢''
| |
| !Median
| |
| !Maximum+comma
| |
| |- | | |- |
| |1 | | |15\14 |
| |160-165 | | |160.714 |
| |165.7895
| | |Semitone Phrygian mode begins |
| | colspan="2" |161.667-171.667
| |
| |167.647
| |
| | colspan="2" |163.75-173.75
| |
| |''168.75'' | |
| |170
| |
| |171.429-176.429
| |
| |- | | |- |
| |2 | | |14\13 |
| |320-330 | | |161.538 |
| |331.579
| | | |
| | colspan="2" |323.333-343.333
| |
| |335.294
| |
| | colspan="2" |327.5-347.5
| |
| |''337.5'' | |
| |340
| |
| |342.857-352.857
| |
| |- | | |- |
| |3 | | |27\25 |
| |480-495
| | |162.000 |
| |497.368
| | | |
| | colspan="2" |485-515
| |
| |502.941
| |
| | colspan="2" |491.75-521.75 | |
| |''506.25'' | |
| |510
| |
| |514.286-529.286
| |
| |- | | |- |
| |4 | | |13\12 |
| |640-660
| | |''162.500'' |
| |663.158
| | | |
| | colspan="2" |646.667-686.667
| |
| |670.588
| |
| | colspan="2" |655-695
| |
| |''675'' | |
| |680 | |
| |685.714-705.714
| |
| |- | | |- |
| |5 | | |12\11 |
| |800-825 | | |163.{{Overline|63}} |
| |828.947
| | | |
| | colspan="2" |808.333-858.333
| |
| |838.235 | |
| | colspan="2" |818.75-868.75
| |
| |''843.75''
| |
| |850
| |
| |857.143-882.143
| |
| |- | | |- |
| |6 | | |23\21 |
| |960-990 | | |164.286 |
| |994.737
| | | |
| | colspan="2" |970-1030
| |
| |1005.882
| |
| | colspan="2" |982.5-1042.5
| |
| |''1012.5''
| |
| |1020 | |
| |1028.571-1058.571
| |
| |- | | |- |
| |7 | | |11\10 |
| |1120-1155 | | |165.000 |
| |1160.526
| | |Semitone Phrygian mode ends, Intense Phrygian mode begins |
| | colspan="2" |1131.667-1201.667
| |
| |1173.529
| |
| | colspan="2" |1146.25-1216.25
| |
| |''1181.25''
| |
| |1190
| |
| |1200-1235
| |
| |}
| |
| {| class="wikitable"
| |
| ! rowspan="3" |Degrees
| |
| ! colspan="6" |Aeolian
| |
| ! colspan="8" |Intense Aeolian
| |
| |- | | |- |
| ! colspan="3" |Flattone
| | |21\19 |
| ! colspan="3" |Meantone
| | |165.789 |
| ! colspan="5" |Superpyth
| | | |
| ! colspan="3" |Ultrapyth
| |
| |- | | |- |
| !Minimum-comma
| | |10\9 |
| !Median
| | |166.667 |
| ! colspan="2" |Maximum+comma~Minimum-comma
| | |Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins |
| !Median
| |
| ! colspan="2" |Maximum+comma~Minimum-comma
| |
| ! colspan="2" |''r¢''
| |
| !Median
| |
| ! colspan="2" |Maximum+comma~Minimum-comma
| |
| !Median
| |
| !Maximum+comma
| |
| |- | | |- |
| |1 | | |19\17 |
| |166.429-171.429 | | |167.647 |
| |173.077
| | | |
| | colspan="2" |168.684-178.684
| |
| |174
| |
| | colspan="2" |170-180
| |
| | colspan="2" |''175''
| |
| |176.471
| |
| | colspan="2" |172.273-182.273
| |
| |178.125
| |
| |180-185 | |
| |- | | |- |
| |2 | | |9\8 |
| |332.857-342.857
| | |''168.750'' |
| |346.154
| | |Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins |
| | colspan="2" |337.368-357.368
| |
| |348
| |
| | colspan="2" |340-360
| |
| | colspan="2" |''350''
| |
| |352.941 | |
| | colspan="2" |344.5455-364.5455
| |
| |356.25
| |
| |360-370
| |
| |- | | |- |
| |3 | | |26\23 |
| |499.286-514.286 | | |169.565 |
| |519.231
| | | |
| | colspan="2" |506.053-536.053
| |
| |522
| |
| | colspan="2" |510-540
| |
| | colspan="2" |''525''
| |
| |529.412
| |
| | colspan="2" |516.818-546.818
| |
| |534.375
| |
| |540-555 | |
| |- | | |- |
| |4 | | |17\15 |
| |665.714-685.714 | | |170.000 |
| |692.308
| | | |
| | colspan="2" |674.737-714.737
| |
| |696
| |
| | colspan="2" |680-720
| |
| | colspan="2" |''700''
| |
| |705.882
| |
| | colspan="2" |689.091-729.091
| |
| |712.5
| |
| |720-740 | |
| |- | | |- |
| |5 | | |8\7 |
| |832.143-857.143 | | |171.429 |
| |865.385
| | |Soft Aeolian mode ends, Flattone Aeolian mode begins |
| | colspan="2" |843.421-893.421
| |
| |870
| |
| | colspan="2" |850-900
| |
| | colspan="2" |''875''
| |
| |882.353
| |
| | colspan="2" |861.364-911.364
| |
| |890.625
| |
| |900-925 | |
| |- | | |- |
| |6 | | |23\20 |
| |998.571-1028.571 | | |172.500 |
| |1038.4615
| | | |
| | colspan="2" |1012.105-1071.105
| |
| |1044
| |
| | colspan="2" |1020-1080
| |
| | colspan="2" |''1050''
| |
| |1058.8235
| |
| | colspan="2" |1033.636-1093.636
| |
| |1068.75
| |
| |1080-1110 | |
| |- | | |- |
| |7 | | |15\13 |
| |1165-1200 | | |173.077 |
| |1211.5385
| | | |
| | colspan="2" |1180.7895-1250.7895
| |
| |1218
| |
| | colspan="2" |1190-1260
| |
| | colspan="2" |''1225''
| |
| |1235.294
| |
| | colspan="2" |1205.909-1275.909
| |
| |1246.875
| |
| |1260-1295
| |
| |}
| |
| Golden/Pyrite Tunings±13¢
| |
| | |
| {| class="wikitable"
| |
| |- | | |- |
| ! rowspan="3" |Degrees
| | |22\19 |
| ! colspan="2" |Soft Phrygian
| | |173.684 |
| ! colspan="4" |Phrygian
| | |Flattone Aeolian mode ends, Meantone Aeolian mode begins |
| |- | | |- |
| ! rowspan="2" |Min-Med
| | |29\25 |
| ! rowspan="2" |Min-Max/Med-Max
| | |174.000 |
| ! colspan="2" |Thirdtone
| | | |
| ! colspan="2" |Semitone
| |
| |- | | |- |
| !Min-Med/Min-Max
| | |7\6 |
| !Med-Max
| | |''175.000'' |
| !Min-Med/Min-Max
| | |Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins |
| !Med-Max
| |
| |- | | |- |
| |1 | | |20\17 |
| |155.007-158.257 | | |176.471 |
| |155.314-158.564
| | | |
| |155.93-159.81 | |
| |157.275-160.621
| |
| |159.833-163.652
| |
| |160.97-164.975
| |
| |- | | |- |
| |2 | | |14\11 |
| |310.014-316.514 | | |177.273 |
| |310.627-317.127
| | |Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins |
| |311.86-319.62 | |
| |314.55-321.242
| |
| |319.668-327.304
| |
| |321.939-329.95
| |
| |- | | |- |
| |3 | | |19\16 |
| |465.021-474.771 | | |178.125 |
| |465.941-475.691
| | | |
| |467.79-497.43
| |
| |471.825-481.8635
| |
| |479.502-490.955
| |
| |482.909-494.925
| |
| |-
| |
| |4
| |
| |620.0275-633.0275
| |
| |621.253-634.253
| |
| |623.7205-639.24
| |
| |629.1-642.485
| |
| |639.335-654.335
| |
| |643.879-659.8995
| |
| |-
| |
| |5
| |
| |775.034-791.284
| |
| |778.568-792.818
| |
| |779.651-799.05
| |
| |786.375-803.106
| |
| |799.17-818.259
| |
| |804.848-824.874
| |
| |-
| |
| |6
| |
| |930.041-949.541
| |
| |931.882-951.382
| |
| |935.581-958.86
| |
| |943.6495-963.727
| |
| |959.004-981.911
| |
| |965.818-989.849
| |
| |-
| |
| |7
| |
| |1085.048-1107.798
| |
| |1087.196-1109.946
| |
| |1091.511-1118.67
| |
| |1100.924-1124.348
| |
| |1118.838-1145.563
| |
| |1126.7875-1154.824
| |
| |}
| |
| {| class="wikitable"
| |
| |-
| |
| ! rowspan="2" |Degrees
| |
| ! colspan="2" |Intense Phrygian
| |
| ! colspan="2" |Intense Phrygian-Soft Aeolian
| |
| ! colspan="2" |Soft Aeolian
| |
| |-
| |
| !Min-Med/Min-Max
| |
| !Med-Max
| |
| !Min-Med/Min-Max
| |
| !Med-Max
| |
| !Min-Med/Min-Max
| |
| !Med-Max
| |
| |-
| |
| |1
| |
| |163.971-167.221
| |
| |164.363-167.613
| |
| |165.78-169.03
| |
| |166.271-169.521
| |
| |168.065-171.315
| |
| |168.695-171.945
| |
| |-
| |
| |2
| |
| |327.941-334.441
| |
| |328.726-335.226
| |
| |331.561-338.061
| |
| |332.541-339.041
| |
| |336.13-345.63
| |
| |337.39-343.895
| |
| |-
| |
| |3
| |
| |491.912-501.662
| |
| |493.089-502.839
| |
| |497.341-507.091
| |
| |498.812-508.562
| |
| |504.195-513.945
| |
| |506.084-515.834
| |
| |-
| |
| |4
| |
| |655.883-668.883
| |
| |657.4525-670.4525
| |
| |663.121-676.121
| |
| |665.082-678.082
| |
| |672.2605-685.2605
| |
| |674.779-687.779
| |
| |-
| |
| |5
| |
| |819.8535-836.1035
| |
| |821.816-838.065
| |
| |828.902-845.152
| |
| |831.353-847.603
| |
| |840.362-856.567
| |
| |843.474-859.724
| |
| |-
| |
| |6
| |
| |983.824-1003.324
| |
| |986.178-1005.678
| |
| |994.682-1014.182
| |
| |997.623-1017.123
| |
| |1108.391-1027.891.
| |
| |1012.169-1031.669
| |
| |-
| |
| |7
| |
| |1147.795-1170.545
| |
| |1150.542-1173.292
| |
| |1160.4625-1183.2125
| |
| |1163.894-1186.644
| |
| |1176.456-1199.206
| |
| |1180.8635-1203.6135
| |
| |}
| |
| {| class="wikitable"
| |
| ! rowspan="3" |Degrees
| |
| ! colspan="4" |Aeolian
| |
| ! colspan="4" |Intense Aeolian
| |
| |-
| |
| ! colspan="2" |Flattone
| |
| ! colspan="2" |Meantone
| |
| ! colspan="2" |Superpyth
| |
| ! colspan="2" |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
| |
| |171.04-174.29
| |
| | colspan="2" |171.641-175.524
| |
| |172.504-175.754
| |
| |174.582-177.832
| |
| |175.074-178.324
| |
| |176.246-179.495
| |
| |176.8035-180.0535
| |
| |-
| |
| |2
| |
| |342.081-348.581
| |
| | colspan="2" |343.282-351.048
| |
| |345.008-351.508
| |
| |349.1645-355.6645
| |
| |350.149-356.649
| |
| |352.492-358.992
| |
| |353.607-360.107
| |
| |-
| |
| |3
| |
| |513.121-522.871
| |
| | colspan="2" |514.923-526.572
| |
| |517.5125-527.2625
| |
| |523.747-533.497
| |
| |525.224-534.974 | |
| |528.738-538.488
| |
| |530.4105-540.1605
| |
| |- | | |- |
| |4 | | |25\21 |
| |684.161-697.161 | | |178.571 |
| | colspan="2" |686.5635-702.096
| | | |
| |690.017-703.017
| |
| |698.329-711.329
| |
| |700.299-713.299
| |
| |704.983-717.983
| |
| |707.214-720.214 | |
| |- | | |- |
| |5 | | |31\26 |
| |855.202-871.472 | | |178.846 |
| | colspan="2" |858.204-877.62
| | | |
| |862.521-878.771
| |
| |872.911-889.161
| |
| |875.373-890.623
| |
| |881.229-897.479
| |
| |884.018-900.268 | |
| |- | | |- |
| |6 | | |37\31 |
| |1026.242-1045.742 | | |179.032 |
| | colspan="2" |1029.845-1053.1445
| | | |
| |1035.025-1054.525
| |
| |1047.4935-1066.9935
| |
| |1050.448-1069.998
| |
| |1057.475-1076.975
| |
| |1060.821-1080.321 | |
| |- | | |- |
| |7 | | |6\5 |
| |1197.282-1220.032 | | |180.000 |
| | colspan="2" |1201.486-1228.6685
| | |Ultrapyth Intense Aeolian mode ends |
| |1207.529-1230.279
| |
| |1222.076-1244.826
| |
| |1225.523-1248.273
| |
| |1233.721-1256.471
| |
| |1237.625-1260.375 | |
| |} | | |} |
| [[Category:8-tone scales]]
| |
| [[Category:ed9/4]]
| |
| [[Category:edIX]]
| |
| [[Category:todo:add_definition]]
| |
| [[Category:todo:unify_precision]]
| |