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This scale, a Long Common Practice minor mode, has the Grandfather 3L 5s MOS with a 4:1 ratio of large against small.
This scale, a Long Common Practice minor mode, has the Grandfather 3L 5s MOS with a 4:1 ratio of large against small. It also gives the wide values for the period of the Greater [[Ragismic microtemperaments #Chlorine|Chlorine]] temperament.
 
== Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
! rowspan="3" |Degrees
|+
! colspan="2" rowspan="3" |Octatonic
!Nonet
! colspan="3" |Soft Phrygian
!Period
! colspan="6" |Phrygian
!Notes
|-
|-
! rowspan="2" |Minimum-comma
|1/1
! rowspan="2" |Median
|''70.588''
! rowspan="2" |Maximum+comma
|Soft Phrygian mode begins
! colspan="3" |Thirdtone
! colspan="3" |Semitone
|-
|-
!Minimum-comma
|25\24
!Median
|''73.529''
!Maximum+comma
|
!Minimum-comma
!Median
!Maximum+comma
|-
|-
| |1
|24\23
|A
|73.657
| |Ab
|
|68.8235-''70.588''
|-
|23\22
|73.797
|73.797
| colspan="2" |72.185-75.714
|
|74.51-74.622
| colspan="2" |73.529-77.395
|76.235-''76.471''
|77.647-79.412
|-
|-
| |2
|22\21
|B\\
|73.950
| |G#v/Ab^
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
|137.647-''141.1765''
|147.594
| colspan="2" |144.37-151.429
|149.02-149.244
| colspan="2" |147.059-154.79
|152.471-''152.941''
|155.294-158.8235
|-
|-
| |3
| 21\20
|Apv/B\\^
|74.118
| |G#
|
|206.471-''211.765''
|221.39
| colspan="2" |216.555-227.143
|223.529-213.8655
| colspan="2" |220.588-232.185
|228.706-''229.1765''
|232.941-238.235
|-
|-
| |4
|20\19
|Ap
|74.303
| |A
|
|275.294-''282.353''
|295.187
| colspan="2" |288.7395-302.857
|298.039-298.487
| colspan="2" |294.118-209.58
|304.941-''305.647''
|310.588-317.647
|-
|-
| |5
|19\18
| colspan="2" |B
|74.510
|344.118-''352.941''
|
|368.984
| colspan="2" |360.924-378.571
|372.549-373.109
| colspan="2" |367.647-386.975
|381.1765-''382.118''
|387.235-397.058
|-
|-
| |6
|37\35
| colspan="2" |C
|74.622
|412.941-''423.529''
|
|442.781
| colspan="2" |433.109-454.286
|447.059-447.731
| colspan="2" |431.1765-464.37
|457.412-''458.588''
|464.882-476.471
|-
|-
| |7
|18\17
|Q
|74.740
| |Qb
|
|481.765-''494.118''
|516.5775
| colspan="2" |505.294-530
|521.569-522.353
| colspan="2" |504.706-541.765
|533.647-''535.294''
|542.529-555.882
|-
|-
| |8
|17\16
|D\\
|75.000
| |C#v/Qb^
|
|550.588-''564.706''
|590.374
| colspan="2" |577.479-605.714
|596.078-596.975
| colspan="2" |578.235-619.16
|609.882-''611.235''
|620.1765-635.294
|-
|-
| |9
|16\15
|Qpv/D\\^
|75.294
| |C#
|Thirdtone Phrygian mode ends
|619.412-''635.294''
|664.171
| colspan="2" |946.664-681.429
|670.588-671.597
| colspan="2" |651.765-696.555
|686.118-''688.765''
|697.8235-714.706
|-
|-
| |10
|15\14
|Qp
|75.630
| |Q
|Semitone Phrygian mode begins
|688.235-''705.882''
|737.97
| colspan="2" |721.849-757.143
|745.098-746.2185
| colspan="2" |745.294-773.95
|762.353-''764.706''
|777.471-794.118
|-
|-
| |11
|14\13
| colspan="2" |D
|76.018
|757.059-''776.471''
|
|811.765
| colspan="2" |794.034-832.857
|819.608-820.84
| colspan="2" |808.8235-851.3445
|838.588-''841.412''
|855.118-873.529
|-
|-
| |12
|27\25
| colspan="2" |E
|76.235
|825.882-''847.059''
|
|885.5616
| colspan="2" |866.2185-908.571
|894.118-895.462
| colspan="2" |882.353-928.7395
|914.8235-''917.882''
|932.765-952.941
|-
|-
| |13
|13\12
|F
|''76.471''
| |Fb
|
|894.706-''917.647''
|959.358
| colspan="2" |938.403-978.286
|968.6275-970.084
| colspan="2" |955.882-1006.1345
|991.059-''994.353''
|1010.412-1032.353
|-
|-
|14
|12\11
|F\\
|77.005
|E#v/Fb^
|
|963.529-''988.235''
|1033.155
| colspan="2" |1010.588-1060
|1043.137-1044.706
| colspan="2" |1029.412-1083.529
|1067.294-''1080.8235''
|1088.059-1111.765
|-
|-
|15
|11\10
|Fpv/G\\^
|77.647
|E#
|Semitone Phrygian mode ends, Intense Phrygian mode begins
|1031.353-''1058.8235''
|1106.952
| colspan="2" |1082.773-1135.714
|1117.647-1119.328
| colspan="2" |1102.941-1160.924
|1143.529-''1147.059''
|1164.706-1191.1765
|-
|-
|16
|21\19
|Fp
| 78.019
|F
|
|1101.1765-''1129.412''
|1180.749
| colspan="2" |1154.958-1211.429
|1192.156-1193.95
| colspan="2" |1176.471-1238.319
|1219.765-''1223.529''
|1242.353-1270.588
|-
|-
|17
|10\9
| colspan="2" |G
|78.431
|1170-''1200''
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|1254.5455
| colspan="2" |1227.143-1287.143
|1266.667-1268.571
| colspan="2" |1250-1315.714
|1296-''1300''
|1320-1350
|}
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|19\17
! colspan="4" rowspan="2" |Octatonic
! colspan="3" |Intense Phrygian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="5" |Soft Aeolian
|-
!Minimum-comma
!Median
!Maximum+comma
!Minimum-comma
!Median
!Maximum+comma
!Minimum-comma
! colspan="2" |''r¢''
!Median
!Maximum+comma
|-
|1
|G
|Gb
|A
|Ab
|75.8235-77.647
|78.019
| colspan="2" |76.667-80.196
|78.893
|78.893
| colspan="2" |77.647-81.1765
|
| colspan="2" |''79.412''
|80
|80.672-82.437
|-
|-
|2
|9\8
|A\\
|''79.412''
|F#v/Gb^
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|B\\
|G#v/Ab^
|151.647-155.294
|156.037
| colspan="2" |153.333-160.392
|157.7855
| colspan="2" |155.294-162.353
| colspan="2" |''158.8235''
|160
|161.3445-164.874
|-
|-
|3
|17\15
|Gpv/A\\^
|80.000
|F#
|
|Apv/B\\^
|G#
|227.471-232.941
|234.056
| colspan="2" |230-240.588
|236.678
| colspan="2" |232.941-243.529
| colspan="2" |''238.235''
|240
|242.017-247.311
|-
|-
|4
|8\7
|Gp
|80.672
|G
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|Ap
|A
|303.294-310.588
|312.074
| colspan="2" |306.667-320.784
|315.571
| colspan="2" |310.588-324.706
| colspan="2" |''317.647''
|320
|322.689-329.748
|-
|-
|5
|15\13
| colspan="2" |A
|81.448
| colspan="2" |B
|
|379.118-387.235
|390.093
| colspan="2" |383.333-400.98
|394.464
| colspan="2" |387.235-405.882
| colspan="2" |''397.058''
|400
|403.361-412.185
|-
|-
|6
|22\19
| colspan="2" |B
|81.734
| colspan="2" |C
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|454.941-464.822
|468.1115
| colspan="2" |460-481.1765
|473.356
| colspan="2" |464.882-487.059
| colspan="2" |''476.471''
|480
|484.034-494.622
|-
|-
|7
|29\25
|H
|81.882
|Hb
|
|Q
|Qb
|530.765-542.529
|546.13
| colspan="2" |536.667-561.3725
|552.249
| colspan="2" |542.529-568.235
| colspan="2" |''555.882''
|560
|564.706-577.059
|-
|8
|C\\
|B#v/Hb^
|D\\
|C#v/Qb^
|606.588-620.1765
|624.149
| colspan="2" |613.333-641.569
|651.142
| colspan="2" |620.1765-649.412
| colspan="2" |''635.294''
|640
|645.378-659.496
|-
|9
|Hpv/C\\^
|B#
|Qpv/D\\^
|C#
|683.412-697.8235
|702.167
| colspan="2" |690-721.765
|710.035
| colspan="2" |697.8235-730.588
| colspan="2" |''714.706''
|720
|726.05-741.932
|-
|-
|10
|7\6
|Hp
|''82.353''
|H
|Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|Qp
|Q
|759.235-777.471
|780.186
| colspan="2" |766.667-801.961
|788.927
| colspan="2" |777.471-811.765
| colspan="2" |''794.118''
|800
|806.723-824.37
|-
|-
|11
|20\17
| colspan="2" |C
| colspan="2" |D
|835.059-855.118
|858.204
| colspan="2" |843.333-882.157
|867.82
| colspan="2" |855.118-892.941
| colspan="2" |''873.529''
|880
|887.395-906.807
|-
|12
| colspan="2" |D
| colspan="2" |E
|910.882-932.765
|936.223
| colspan="2" |920-962.353
|946.713
| colspan="2" |932.765-974.118
| colspan="2" |''952.941''
|960
|968.067-989.244
|-
|13
|E
|Eb
|F
|Fb
|986.706-1010.412
|1014.2415
| colspan="2" |996.667-1042.549
|1025.6055
| colspan="2" |1010.412-1055.294
| colspan="2" |''1032.353''
|1040
|1048.7395-1071.681
|-
|14
|F\\
|D#v/Eb^
|F\\
|E#v/Fb^
|1062.529-1088.059
|1092.26
| colspan="2" |1073.333-1122.745
|1104.598
| colspan="2" |1088.059-1136.429
| colspan="2" |''1111.765''
|1120
|1129.412-1154.118
|-
|15
|Epv/F\\^
|D#
|Fpv/G\\^
|E#
|1138.353-1164.706
|1170.028
| colspan="2" |1150-1202.941
|1183.391
| colspan="2" |1164.706-1217.647
| colspan="2" |''1191.1765''
|1200
|1210.084-1236.555
|-
|16
|Ep
|E
|Fp
|F
|1214.1765-1242.353
|1248.297
| colspan="2" |1226.667-1283.137
|1262.284
| colspan="2" |1242.353-1288.8235
| colspan="2" |''1270.588''
|1280
|1290.756-1318.992
|-
|17
| colspan="2" |F
| colspan="2" |G
|1290-1320
|1326.316
| colspan="2" |1303.333-1363.333
|1341.1765
| colspan="2" |1320-1380
| colspan="2" |''1350''
|1360
|1371.429-1401.429
|}
{| class="wikitable"
! rowspan="3" |Degrees
! colspan="2" rowspan="3" |Octatonic
! colspan="6" |Aeolian
! colspan="8" |Intense Aeolian
|-
! colspan="3" |Flattone
! colspan="3" |Meantone
! colspan="5" |Superpyth
! colspan="3" |Ultrapyth
|-
!Minimum-comma
!Median
!Maximum+comma
!Minimum-comma
!Median
!Maximum+comma
!Minimum-comma
! colspan="2" |''r¢''
!Median
!Maximum+comma
!Minimum-comma
!Median
!Maximum+comma
|-
|1
|G
|Gb
|78.908-80.672
|81.448
| colspan="2" |79.966-83.495
|81.882
| colspan="2" |80.588-84.118
| colspan="2" |''82.353''
|83.045
|83.045
| colspan="2" |81.658-85.187
|
|83.8235
|84.706-86.471
|-
|2
|A\\
|F#v/Gb^
|157.815-161.3445
|162.896
| colspan="2" |159.932-166.991
|163.765
| colspan="2" |161.1765-168.235
| colspan="2" |''164.706''
|166.09
| colspan="2" |163.3155-170.374
|167.647
|169.412-172.941
|-
|3
|Gpv/A\\^
|F#
|236.723-242.017
|244.344
| colspan="2" |239.898-250.486
|245.647
| colspan="2" |241.765-252.353
| colspan="2" |''247.059''
|249.135
| colspan="2" |244.973-255.5615
|251.471
|254.118-259.412
|-
|4
|Gp
|G
|315.63-322.689
|325.792
| colspan="2" |319.864-333.981
|327.529
| colspan="2" |322.353-336.471
| colspan="2" |''329.412''
|332.18
| colspan="2" |326.631-340.749
|335.294
|338.8235-345.882
|-
|5
| colspan="2" |A
|394.538-403.361
|407.24
| colspan="2" |399.829-417.477
|409.412
| colspan="2" |402.941-420.588
| colspan="2" |''411.765''
|415.225
| colspan="2" |408.289-425.935
|419.118
|423.529-432.353
|-
|6
| colspan="2" |B
|473.445-484.034
|488.688
| colspan="2" |479.796-500.972
|491.294
| colspan="2" |483.529-504.706
| colspan="2" |''494.118''
|498.27
| colspan="2" |489.9465-511.123
|502.941
|508.235-518.8235
|-
|7
|H
|Hb
|552.353-564.706
|570.136
| colspan="2" |559.762-584.4675
|573.1765
| colspan="2" |564.118-588.8235
| colspan="2" |''576.471''
|581.315
| colspan="2" |571.604-596.311
|586.768
|592.941-605.294
|-
|8
|C\\
|B#v/Hb^
|631.2605-645.378
|651.584
| colspan="2" |639.728-667.963
|655.059
| colspan="2" |644.706-672.941
| colspan="2" |''658.8235''
|664.36
| colspan="2" |653.262-671.497
|670.588
|677.647-691.765
|-
|9
|Hpv/C\\^
|B#
|710.168-726.05
|733.032
| colspan="2" |719.6935-751.458
|736.941
| colspan="2" |725.294-758.059
| colspan="2" |''741.1765''
|747.405
| colspan="2" |734.92-656.6845
|754.412
|762.653-778.235
|-
|10
|Hp
|H
|789.076-806.723
|814.48
| colspan="2" |799.659-834.954
|818.8235
| colspan="2" |805.882-841.1765
| colspan="2" |''823.529''
|830.45
| colspan="2" |816.5775-851.872
|838.235
|847.059-864.706
|-
|11
| colspan="2" |C
|867.983-887.395
|895.928
| colspan="2" |879.625-918.449
|900.706
| colspan="2" |886.471-925.294
| colspan="2" |''905.882''
|913.495
| colspan="2" |898.235-937.059
|922.059
|931.765-951.1765
|-
|12
| colspan="2" |D
|946.891-968.067
|977.376
| colspan="2" |959.591-1001.944
|982.588
| colspan="2" |967.059-1009.412
| colspan="2" |''988.235''
|996.54
| colspan="2" |979.893-1022.246
|1005.882
|1016.471-1037.647
|-
|13
|E
|Eb
|1025.798-1048.7395
|1058.8235
| colspan="2" |1039.557-1085.44
|1064.471
| colspan="2" |1047.647-1093.529
| colspan="2" |''1070.588''
|1079.585
| colspan="2" |1061.551-1107.433
|1089.706
|1101.1765-1124.118
|-
|14
|F\\
|D#v/Eb^
|1104.706-1129.412
|1140.2715
| colspan="2" |1119.523-1168.935
|1146.353
| colspan="2" |1128.235-1177.647
| colspan="2" |''1152.941''
|1162.63
| colspan="2" |1143.209-1192.62
|1173.529
|1185.882-1210.588
|-
|-
|15
|13\11
|Epv/F\\^
|83.422
|D#
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
|1183.613-1210.084
|1221.7195
| colspan="2" |1199.489-1252.43
|1228.235
| colspan="2" |1208.8235-1261.765
| colspan="2" |''1233.294''
|1245.675
| colspan="2" |1224.866-1277.8075
|1257.353
|1270.588-1297.059
|-
|-
|16
|19\16
|Ep
|83.824
|E
|
|1262.521-1290.756
|1303.167
| colspan="2" |1279.455-1335.925
|1310.118
| colspan="2" |1289.412-1345.882
| colspan="2" |''1317.647''
|1328.72
| colspan="2" |1306.652-1362.995
|1341.1765
|1355.294-1383.529
|-
|-
|17
|6\5
| colspan="2" |F
|84.706
|1341.429-1371.429
|Ultrapyth Intense Aeolian mode ends
|1384.615
|}Golden/Pyrite Tunings±13¢
| colspan="2" |1359.474-1419.474
|1392
| colspan="2" |1370-1430
| colspan="2" |''1400''
|1411.765
| colspan="2" |1388.182-1448.182
|1425
|1440-1470
|}
Golden/Pyrite Tunings±13¢


{| class="wikitable"
{| class="wikitable"
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/17edIX"