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This reformed minor mode is the neutral scale of the Napoli and Fujiyama temperament families in Long Common Practice .
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.


==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
|+
! colspan="6" |Nonet
!Period
!Notes
|-
|-
! rowspan="3" |Degrees
|1/1
! colspan="3" |Soft Phrygian
|
! colspan="6" |Phrygian
|
|
|
|
|''150''
|Soft Phrygian mode begins
|-
|-
! rowspan="2" |Minimum-comma
|
! rowspan="2" |Median
|23/22
! rowspan="2" |Maximum+comma
|
! colspan="3" |Thirdtone
|
! colspan="3" |Semitone
|
|
|156.{{Overline|81}}
|
|-
|-
!Minimum-comma
|22\21
!Median
|
! colspan="2" |Maximum+comma~Minimum-comma
|
!Median
|
!Maximum+comma
|
|
|157.143
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
|-
|-
|1
|21\20
|145-''150''
|
|156.818
|
| colspan="2" |152.143-162.143
|
|158.333-158.571
|
| colspan="2" |155-165.714
|
|162-''162.5''
|157.5
|165-170
|
|-
|-
|2
|20\19
|290-''300''
|
|313.636
|
| colspan="2" |306.286-324.286
|
|316.667-317.143
|
| colspan="2" |310-331.429
|
|324-''325''
|157.895
|330-340
|
|-
|-
|3
|19\18
|435-''450''
|
|470.4545
|
| colspan="2" |458.429-486.429
|
|475-475.714
|
| colspan="2" |465-497.143
|
|486-''487.5''
|158.333
|495-510
|
|-
|-
|4
|
|580-''600''
|37\35
|627.273
|
| colspan="2" |608.571-648.571
|
|633.333-634.286
|
| colspan="2" |620-666.857
|
|648-''650''
|158.571
|660-680
|
|-
|-
|5
|18\17
|725-''750''
|
|784.091
|
| colspan="2" |760.714-810.714
|
|791.667-792.857
|
| colspan="2" |775-827.571
|
|810-''812.5''
|158.8235
|825-850
|
|-
|-
|6
|17\16
|870-''900''
|
|940.909
|
| colspan="2" |912.857-972.857
|
|950-951.429
|
| colspan="2" |930-993.286
|
|972-''975''
|159.375
|990-1020
|
|-
|-
|7
|16\15
|1015-''1050''
|
|1097.727
|
| colspan="2" |1065-1135
|
|1108.333-1110
|
| colspan="2" |1085-1160
|
|1134-''1137.5''
|160
|1155-1190
|Thirdtone Phrygian mode
|}
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|15\14
! colspan="3" |Intense Phrygian
|
! colspan="3" |Intense Phrygian-Soft Aeolian
|
! colspan="4" |Soft Aeolian
|
|
|
|160.714
|Semitone Phrygian mode begins
|-
|-
!Minimum-comma
|14\13
!Median
|
! colspan="2" |Maximum+comma~Minimum-comma
|
!Median
|
! colspan="2" |Maximum+comma~Minimum-comma
|
!''r¢''
|
!Median
|161.5385
!Maximum+comma
|
|-
|-
|1
|
|160-165
|27\25
|165.7895
|
| colspan="2" |161.667-171.667
|
|167.647
|
| colspan="2" |163.75-173.75
|
|''168.75''
|162
|170
|
|171.429-176.429
|-
|-
|2
|13\12
|320-330
|
|331.579
|
| colspan="2" |323.333-343.333
|
|335.294
|
| colspan="2" |327.5-347.5
|
|''337.5''
|''162.5''
|340
|
|342.857-352.857
|-
|-
|3
|12\11
|480-495
|
|497.368
|
| colspan="2" |485-515
|
|502.941
|
| colspan="2" |491.75-521.75
|
|''506.25''
|163.{{Overline|63}}
|510
|
|514.286-529.286
|-
|-
|4
|
|640-660
|23\21
|663.158
|
| colspan="2" |646.667-686.667
|
|670.588
|
| colspan="2" |655-695
|
|''675''
|164.286
|680
|
|685.714-705.714
|-
|-
|5
|11\10
|800-825
|
|828.947
|
| colspan="2" |808.333-858.333
|
|838.235
|
| colspan="2" |818.75-868.75
|
|''843.75''
|165
|850
|Semitone Phrygian mode ends, Intense Phrygian mode begins
|857.143-882.143
|-
|-
|6
|
|960-990
|21\19
|994.737
|
| colspan="2" |970-1030
|
|1005.882
|
| colspan="2" |982.5-1042.5
|
|''1012.5''
|165.7895
|1020
|
|1028.571-1058.571
|-
|-
|7
|10\9
|1120-1155
|
|1160.526
|
| colspan="2" |1131.667-1201.667
|
|1173.529
|
| colspan="2" |1146.25-1216.25
|
|''1181.25''
|166.{{Overline|6}}
|1190
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|1200-1235
|}
{| class="wikitable"
! rowspan="3" |Degrees
! colspan="6" |Aeolian
! colspan="8" |Intense Aeolian
|-
|-
! colspan="3" |Flattone
|
! colspan="3" |Meantone
|19\17
! colspan="5" |Superpyth
|
! colspan="3" |Ultrapyth
|
|
|
|167.647
|
|-
|-
!Minimum-comma
|9\8
!Median
|
! colspan="2" |Maximum+comma~Minimum-comma
|
!Median
|
! colspan="2" |Maximum+comma~Minimum-comma
|
! colspan="2" |''r¢''
|
!Median
|''168.75''
! colspan="2" |Maximum+comma~Minimum-comma
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
!Median
!Maximum+comma
|-
|-
|1
|
|166.429-171.429
|
|173.077
|26\23
| colspan="2" |168.684-178.684
|
|174
|
| colspan="2" |170-180
|
| colspan="2" |''175''
|169.565
|176.471
|
| colspan="2" |172.273-182.273
|178.125
|180-185
|-
|-
|2
|
|332.857-342.857
|17\15
|346.154
|
| colspan="2" |337.368-357.368
|
|348
|
| colspan="2" |340-360
|
| colspan="2" |''350''
|170
|352.941
|
| colspan="2" |344.5455-364.5455
|356.25
|360-370
|-
|-
|3
|8\7
|499.286-514.286
|
|519.231
|
| colspan="2" |506.053-536.053
|
|522
|
| colspan="2" |510-540
|
| colspan="2" |''525''
|171.429
|529.412
|Soft Aeolian mode ends, Flattone Aeolian mode begins
| colspan="2" |516.818-546.818
|534.375
|540-555
|-
|-
|4
|
|665.714-685.714
|
|692.308
|23\20
| colspan="2" |674.737-714.737
|
|696
|
| colspan="2" |680-720
|
| colspan="2" |''700''
|172.5
|705.882
|
| colspan="2" |689.091-729.091
|712.5
|720-740
|-
|-
|5
|
|832.143-857.143
|15\13
|865.385
|
| colspan="2" |843.421-893.421
|
|870
|
| colspan="2" |850-900
|
| colspan="2" |''875''
|173.077
|882.353
|
| colspan="2" |861.364-911.364
|890.625
|900-925
|-
|-
|6
|
|998.571-1028.571
|
|1038.4615
|22\19
| colspan="2" |1012.105-1071.105
|
|1044
|
| colspan="2" |1020-1080
|
| colspan="2" |''1050''
|173.684
|1058.8235
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
| colspan="2" |1033.636-1093.636
|1068.75
|1080-1110
|-
|-
|7
|
|1165-1200
|
|1211.5385
|
| colspan="2" |1180.7895-1250.7895
|29\25
|1218
|
| colspan="2" |1190-1260
|
| colspan="2" |''1225''
|174
|1235.294
|
| colspan="2" |1205.909-1275.909
|1246.875
|1260-1295
|}
Golden/Pyrite Tunings±13¢
 
{| class="wikitable"
|-
|-
! rowspan="3" |Degrees
|7\6
! colspan="2" |Soft Phrygian
|
! colspan="4" |Phrygian
|
|
|
|
|''175''
|Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|-
|-
! rowspan="2" |Min-Med
|
! rowspan="2" |Min-Max/Med-Max
|
! colspan="2" |Thirdtone
|20\17
! colspan="2" |Semitone
|
|
|
|176.471
|
|-
|-
!Min-Med/Min-Max
|
!Med-Max
|14\11
!Min-Med/Min-Max
|
!Med-Max
|
|
|
|177.{{Overline|27}}
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
|-
|-
|1
|
|155.007-158.257
|
|155.314-158.564
|19\16
|155.93-159.81
|
|157.275-160.621
|
|159.833-163.652
|
|160.97-164.975
|178.125
|-
|
|2
|310.014-316.514
|310.627-317.127
|311.86-319.62
|314.55-321.242
|319.668-327.304
|321.939-329.95
|-
|3
|465.021-474.771
|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
|
|684.161-697.161
|
| colspan="2" |686.5635-702.096
|
|690.017-703.017
|25\21
|698.329-711.329
|
|700.299-713.299
|
|704.983-717.983
|178.571
|707.214-720.214
|
|-
|-
|5
|
|855.202-871.472
|
| colspan="2" |858.204-877.62
|
|862.521-878.771
|
|872.911-889.161
|31\26
|875.373-890.623
|
|881.229-897.479
|178.846
|884.018-900.268
|
|-
|-
|6
|
|1026.242-1045.742
|
| colspan="2" |1029.845-1053.1445
|
|1035.025-1054.525
|
|1047.4935-1066.9935
|
|1050.448-1069.998
|37\31
|1057.475-1076.975
|179.032
|1060.821-1080.321
|
|-
|-
|7
|6\5
|1197.282-1220.032
|
| colspan="2" |1201.486-1228.6685
|
|1207.529-1230.279
|
|1222.076-1244.826
|
|1225.523-1248.273
|
|1233.721-1256.471
|180
|1237.625-1260.375
|Ultrapyth Intense Aeolian mode ends
|}
|}
[[Category:8-tone scales]]
[[Category:8-tone scales]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/8edIX"