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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
|1/1
! rowspan="2" |Median
! rowspan="2" |Maximum
! colspan="3" |Thirdtone
! colspan="3" |Semitone
|-
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
|-
| |1
|A
| |Ab
|''70.588''
|''70.588''
|73.797
|Soft Phrygian mode begins
| colspan="2" |73.95
|74.51-74.622
| colspan="2" |75.294-75.63
|76.235-''76.471''
|77.647
|-
|-
| |2
|25\24
|B\\
|''73.529''
| |G#v/Ab^
|
|''141.1765''
|147.594
| colspan="2" |147.899
|149.02-149.244
| colspan="2" |150.588-151.2605
|152.471-''152.941''
|155.294
|-
|-
| |3
|24\23
|Apv/B\\^
|73.657
| |G#
|
|''211.765''
|221.39
| colspan="2" |221.849
|223.529-213.8655
| colspan="2" |225.882-226.891
|228.706-''229.1765''
|232.941
|-
|-
| |4
|23\22
|Ap
|73.797
| |A
|
|''282.353''
|295.187
| colspan="2" |295.798
|298.039-298.487
| colspan="2" |301.1765-302.521
|304.941-''305.647''
|310.588
|-
|-
| |5
|22\21
| colspan="2" |B
|73.950
|''352.941''
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
|368.984
| colspan="2" |369.748
|372.549-373.109
| colspan="2" |376.471-378.151
|381.1765-''382.118''
|387.235
|-
|-
| |6
| 21\20
| colspan="2" |C
|74.118
|''423.529''
|
|442.781
| colspan="2" |443.698
|447.059-447.731
| colspan="2" |451.765-453.7815
|457.412-''458.588''
|464.822
|-
|-
| |7
|20\19
|Q
|74.303
| |Qb
|
|''494.118''
|516.5775
| colspan="2" |517.647
|521.569-522.353
| colspan="2" |527.059-529.412
|533.647-''535.294''
|542.529
|-
|-
| |8
|19\18
|D\\
|74.510
| |C#v/Qb^
|
|''564.706''
|590.374
| colspan="2" |591.597
|596.078-596.975
| colspan="2" |602.353-605.042
|609.882-''611.235''
|620.1765
|-
|-
| |9
|37\35
|Qpv/D\\^
|74.622
| |C#
|
|''635.294''
|664.171
| colspan="2" |665.546
|670.588-671.597
| colspan="2" |677.647-680.672
|686.118-''688.765''
|697.8235
|-
|-
| |10
|18\17
|Qp
|74.740
| |Q
|
|''705.882''
|737.97
| colspan="2" |739.496
|745.098-746.2185
| colspan="2" |752.941-756.3025
|762.353-''764.706''
|777.471
|-
|-
| |11
|17\16
| colspan="2" |D
|75.000
|''776.471''
|
|811.765
| colspan="2" |813.445
|819.608-820.84
| colspan="2" |828.235-831.932
|838.588-''841.412''
|855.118
|-
|-
| |12
|16\15
| colspan="2" |E
|75.294
|''847.059''
|Thirdtone Phrygian mode ends
|885.5616
| colspan="2" |887.395
|894.118-895.462
| colspan="2" |903.529-907.563
|914.8235-''917.882''
|932.765
|-
|-
| |13
|15\14
|F
|75.630
| |Fb
|Semitone Phrygian mode begins
|''917.647''
|959.358
| colspan="2" |961.3445
|968.6275-970.084
| colspan="2" |978.8235-983.193
|991.059-''994.353''
|1010.412
|-
|-
|14
|14\13
|F\\
|76.018
|E#v/Fb^
|
|''988.235''
|1033.155
| colspan="2" |1035.294
|1043.137-1044.706
| colspan="2" |1054.118-1058.8235
|1067.294-''1080.8235''
|1088.059
|-
|-
|15
|27\25
|Fpv/G\\^
|76.235
|E#
|
|''1058.8235''
|1106.952
| colspan="2" |1109.244
|1117.647-1119.328
| colspan="2" |1129.412-1134.454
|1143.529-''1147.059''
|1164.706
|-
|16
|Fp
|F
|''1129.412''
|1180.749
| colspan="2" |1183.193
|1192.156-1193.95
| colspan="2" |1204.706-1210.084
|1219.765-''1223.529''
|1242.353
|-
|17
| colspan="2" |G
|''1200''
|1254.5455
| colspan="2" |1257.143
|1266.667-1268.571
| colspan="2" |1280-1285.714
|1296-''1300''
|1320
|}
{| class="wikitable"
|-
! rowspan="2" |Degrees
! colspan="4" rowspan="2" |Octatonic
! colspan="5" |Intense Phrygian
! colspan="5" |Intense Phrygian-Soft Aeolian
! colspan="5" |Soft Aeolian
|-
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Med-Max±13¢
!Maximum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Med-Max±13¢
!Maximum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Med-Max±13¢
!Maximum
|-
|1
|G
|Gb
|A
|Ab
|77.647
|77.163-78.692
|78.019
|77.347-78.877
| colspan="2" |78.431
|78.014-79.544
|78.893
|78.245-79.774
| colspan="2" |''79.412''
|79.0895-80.618
|80
|79.385-80.915
|80.672
|-
|-
|2
|13\12
|A\\
|''76.471''
|F#v/Gb^
|B\\
|G#v/Ab^
|155.294
|155.325-157.384
|156.037
|155.695-157.7535
| colspan="2" |156.863
|156.029-159.087
|157.7855
|156.49-159.549
| colspan="2" |''158.8235''
|158.179-161.238
|160
|158.772-161.83
|161.3445
|-
|3
|Gpv/A\\^
|F#
|Apv/B\\^
|G#
|232.941
|231.488-236.076
|234.056
|232.042-236.63
| colspan="2" |235.294
|234.043-238.631
|236.678
|234.735-239.323
| colspan="2" |''238.235''
|237.268-241.857
|240
|238.157-242.746
|242.017
|-
|4
|Gp
|G
|Ap
|A
|310.588
|308.651-314.768
|312.074
|309.389-315.507
| colspan="2" |313.7255
|312.057-318.175
|315.571
|312.98-319.098
| colspan="2" |''317.647''
|316.358-322.4755
|320
|317.543-323.661
|322.689
|-
|5
| colspan="2" |A
| colspan="2" |B
|387.235
|385.814-393.4605
|390.093
|386.737-394.384
| colspan="2" |392.156
|390.071-397.7185
|394.464
|391.225-398.872
| colspan="2" |''397.058''
|395.447-403.094
|400
|396.929-404.576
|403.361
|-
|6
| colspan="2" |B
| colspan="2" |C
|464.822
|462.976-472.1525
|468.1115
|464.084-473.261
| colspan="2" |470.588
|468.086-477.262
|473.356
|469.469-478.646
| colspan="2" |''476.471''
|474.537-483.713
|480
|476.315-485.4913
|484.034
|-
|7
|H
|Hb
|Q
|Qb
|542.529
|540.139-550.845
|546.13
|541.4315-549.423
| colspan="2" |549.02
|546.1-556.806
|552.249
|547.715-558.421
| colspan="2" |''555.882''
|553.627-564.332
|560
|555.7005-566.406
|564.706
|-
|8
|C\\
|B#v/Hb^
|D\\
|C#v/Qb^
|620.1765
|617.3015-629.537
|624.149
|618.779-631.014
| colspan="2" |627.451
|624.114-636.35
|651.142
|625.96-638.195
| colspan="2" |''635.294''
|632.716-644.951
|640
|635.086-647.322
|645.378
|-
|9
|Hpv/C\\^
|B#
|Qpv/D\\^
|C#
|697.8235
|694.464-708.229
|702.167
|696.126-709.891
| colspan="2" |705.882
|702.129-715.893
|710.035
|704.205-717.969
| colspan="2" |''714.706''
|711.805-725.57
|720
|714.805-728.237
|726.05
|-
|10
|Hp
|H
|Qp
|Q
|777.471
|771.629-786.921
|780.186
|773.4735-788.768
| colspan="2" |784.314
|780.143-795.437
|788.927
|782.45-797.744
| colspan="2" |''794.118''
|790.895-806.189
|800
|793.858-809.152
|806.723
|-
|11
| colspan="2" |C
| colspan="2" |D
|855.118
|848.79-865.613
|858.204
|865.821-867.644
| colspan="2" |862.745
|858.157-874.981
|867.82
|860.695-877.518
| colspan="2" |''873.529''
|869.984-886.808
|880
|873.243-890.067
|887.395
|-
|12
| colspan="2" |D
| colspan="2" |E
|932.765
|925.952-944.305
|936.223
|928.168-946.521
| colspan="2" |941.1765
|936.171-954.527
|946.713
|938.94-957.293
| colspan="2" |''952.941''
|949.074-967.427
|960
|952.692-970.982
|968.067
|-
|13
|E
|Eb
|F
|Fb
|1010.412
|1003.115-1022.997
|1014.2415
|1005.516-1025.398
| colspan="2" |1019.607
|1014.186-1034.0668
|1025.6055
|1017.185-1037.067
| colspan="2" |''1032.353''
|1028.163-1048.045
|1040
|1032.015-1051.8975
|1048.7395
|-
|14
|F\\
|D#v/Eb^
|F\\
|E#v/Fb^
|1088.059
|1080.278-1101.689
|1092.26
|1082.863-1104.275
| colspan="2" |1098.039
|1092.2-1113.612
|1104.598
|1095.43-1116.841
| colspan="2" |''1111.765''
|1107.253-1128.664
|1120
|1111.401-1132.813
|1129.412
|-
|15
|Epv/F\\^
|D#
|Fpv/G\\^
|E#
|1164.706
|1157.44-1180.381
|1170.028
|1160.21-1183.151
| colspan="2" |1176.471
|1170.214-1193.1555
|1183.391
|1173.675-1196.616
| colspan="2" |''1191.1765''
|1186.3425-1209.283
|1200
|1190.788-1213.728
|1210.084
|-
|16
|Ep
|E
|Fp
|F
|1242.353
|1234.603-1259.0735
|1248.297
|1237.558-1262.028
| colspan="2" |1254.902
|1248.229-1272.699
|1262.284
|1251.9195-1276.39
| colspan="2" |''1270.588''
|1265.4315-1289.902
|1280
|1270.173-1294.643
|1290.756
|-
|17
| colspan="2" |F
| colspan="2" |G
|1320
|1311.767-1337.767
|1326.316
|1314.905-1340.905
| colspan="2" |1333.333
|1326.243-1352.243
|1341.1765
|1330.1645-1356.1645
| colspan="2" |''1350''
|1344.521-1370.521
|1360
|1349.558-1375.558
|1371.429
|}
{| class="wikitable"
! rowspan="3" |Degrees
! colspan="2" rowspan="3" |Octatonic
! colspan="6" |Aeolian
! colspan="6" |Intense Aeolian
|-
!
!
!
!
!
!
!
!
!
!
!
!
|-
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
|-
|1
|G
|Gb
|80.672
|81.448
|
|
|80.884-82.4135
| colspan="2" |''82.353''
|83.422
|82.939-84.469
|
|
|
|84.706
|-
|-
|2
|12\11
|A\\
|77.005
|F#v/Gb^
|161.3445
|162.896
|
|
|161.768-164.827
| colspan="2" |''164.706''
|166.845
|165.8785-168.937
|
|
|
|169.412
|-
|-
|3
|11\10
|Gpv/A\\^
|77.647
|F#
|Semitone Phrygian mode ends, Intense Phrygian mode begins
|242.017
|244.344
|
|
|343.652-247.241
| colspan="2" |''247.059''
|250.267
|248.818-253.405
|
|
|254.118
|-
|-
|4
|21\19
|Gp
| 78.019
|G
|322.689
|325.792
|
|
|
|323.536-329.654
| colspan="2" |''329.412''
|333.69
|331.757-337.875
|
|
|338.8235
|-
|-
|5
|10\9
| colspan="2" |A
|78.431
|403.361
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|407.24
|
|
|404.4205-412.068
| colspan="2" |''411.765''
|417.112
|414.696-422.343
|
|
|423.529
|-
|-
|6
|19\17
| colspan="2" |B
|78.893
|484.034
|488.688
|
|
|
|485.305-494.481
| colspan="2" |''494.118''
|500.535
|497.635-506.812
|
|
|508.235
|-
|-
|7
|9\8
|H
|''79.412''
|Hb
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|564.706
|570.136
|
|
|566.189-576.895
| colspan="2" |''576.471''
|583.957
|580.575-591.2805
|
|
|592.941
|-
|-
|8
|17\15
|C\\
|80.000
|B#v/Hb^
|645.378
|651.584
|
|
|
|647.073-359.308
| colspan="2" |''658.8235''
|667.38
|663.514-675.749
|
|
|677.647
|-
|-
|9
|8\7
|Hpv/C\\^
|80.672
|B#
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|726.05
|733.032
|
|
|727.957-741.723
| colspan="2" |''741.1765''
|750.802
|746.453-760.218
|
|
|762.653
|-
|-
|10
|15\13
|Hp
|81.448
|H
|806.723
|814.48
|
|
|808.841-824.135
| colspan="2" |''823.529''
|834.225
|829.392-844.686
|
|
|
|847.059
|-
|-
|11
|22\19
| colspan="2" |C
|81.734
|887.395
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|895.928
|
|
|889.725-906.549
| colspan="2" |''905.882''
|917.647
|912.331-929.155
|
|
|931.765
|-
|-
|12
|29\25
| colspan="2" |D
|81.882
|968.067
|977.376
|
|
|970.609-988.962
| colspan="2" |''988.235''
|1001.0695
|995.271-1013.624
|
|
|
|1016.471
|-
|-
|13
|7\6
|E
|''82.353''
|Eb
|Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|1048.7395
|1058.8235
|
|
|1051.493-1071.376
| colspan="2" |''1070.588''
|1084.492
|1078.21-1098.092
|
|
|1101.1765
|-
|-
|14
|20\17
|F\\
|83.045
|D#v/Eb^
|1129.412
|1140.2715
|
|
|1132.3775-1153.789
| colspan="2" |''1152.941''
|1167.914
|1161.149-1182.561
|
|
|
|1185.882
|-
|-
|15
|13\11
|Epv/F\\^
|83.422
|D#
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
|1210.084
|1221.7195
|
|
|1213.262-1236.203
| colspan="2" |''1233.294''
|1251.337
|1244.088-1267.03
|
|
|1270.588
|-
|-
|16
|19\16
|Ep
|83.824
|E
|1290.756
|1303.167
|
|
|1294.146-1318.616
| colspan="2" |''1317.647''
|1334.759
|1327.028-1351.498
|
|
|
|1355.294
|-
|-
|17
|6\5
| colspan="2" |F
|84.706
|1371.429
|Ultrapyth Intense Aeolian mode ends
|1384.615
|}Golden/Pyrite Tunings±13¢
|
|
|1375.03-1401.03
| colspan="2" |''1400''
|1418.182
|1409.967-1435.967
|
|
|1440
|}
Golden/Pyrite Tunings±13¢


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