Xenharmonic Wiki

User:Moremajorthanmajor/17edIX: Difference between revisions

← Older edit
VisualWikitext
No edit summary
 
(9 intermediate revisions by 3 users not shown)
Line 1: Line 1:
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
|13\12
|Fp
|''76.471''
|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
|12\11
| colspan="2" |G
|77.005
|''1200''
|
|1254.5455
| colspan="2" |1257.143
|1266.667-1268.571
| colspan="2" |1280-1285.714
|1296-''1300''
|1320
|}
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|11\10
! colspan="4" rowspan="2" |Octatonic
! colspan="3" |Intense Phrygian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="3" |Soft Aeolian
|-
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
|-
|1
|G
|Gb
|A
|Ab
|77.647
|77.647
|78.019
|Semitone Phrygian mode ends, Intense Phrygian mode begins
| colspan="2" |78.431
|78.893
| colspan="2" |''79.412''
|80
|80.672
|-
|-
|2
|21\19
|A\\
| 78.019
|F#v/Gb^
|
|B\\
|G#v/Ab^
|155.294
|156.037
| colspan="2" |156.863
|157.7855
| colspan="2" |''158.8235''
|160
|161.3445
|-
|-
|3
|10\9
|Gpv/A\\^
|78.431
|F#
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|Apv/B\\^
|G#
|232.941
|234.056
| colspan="2" |235.294
|236.678
| colspan="2" |''238.235''
|240
|242.017
|-
|-
|4
|19\17
|Gp
|78.893
|G
|
|Ap
|A
|310.588
|312.074
| colspan="2" |313.7255
|315.571
| colspan="2" |''317.647''
|320
|322.689
|-
|-
|5
|9\8
| colspan="2" |A
|''79.412''
| colspan="2" |B
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|387.235
|390.093
| colspan="2" |392.156
|394.464
| colspan="2" |''397.058''
|400
|403.361
|-
|-
|6
|17\15
| colspan="2" |B
|80.000
| colspan="2" |C
|
|464.822
|468.1115
| colspan="2" |470.588
|473.356
| colspan="2" |''476.471''
|480
|484.034
|-
|-
|7
|8\7
|H
|80.672
|Hb
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|Q
|Qb
|542.529
|546.13
| colspan="2" |549.02
|552.249
| colspan="2" |''555.882''
|560
|564.706
|-
|-
|8
|15\13
|C\\
|81.448
|B#v/Hb^
|
|D\\
|C#v/Qb^
|620.1765
|624.149
| colspan="2" |627.451
|651.142
| colspan="2" |''635.294''
|640
|645.378
|-
|-
|9
|22\19
|Hpv/C\\^
|81.734
|B#
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|Qpv/D\\^
|C#
|697.8235
|702.167
| colspan="2" |705.882
|710.035
| colspan="2" |''714.706''
|720
|726.05
|-
|-
|10
|29\25
|Hp
|81.882
|H
|
|Qp
|Q
|777.471
|780.186
| colspan="2" |784.314
|788.927
| colspan="2" |''794.118''
|800
|806.723
|-
|-
|11
|7\6
| colspan="2" |C
|''82.353''
| colspan="2" |D
|Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|855.118
|858.204
| colspan="2" |862.745
|867.82
| colspan="2" |''873.529''
|880
|887.395
|-
|-
|12
|20\17
| colspan="2" |D
|83.045
| colspan="2" |E
|
|932.765
|936.223
| colspan="2" |941.1765
|946.713
| colspan="2" |''952.941''
|960
|968.067
|-
|-
|13
|13\11
|E
|83.422
|Eb
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
|F
|Fb
|1010.412
|1014.2415
| colspan="2" |1019.607
|1025.6055
| colspan="2" |''1032.353''
|1040
|1048.7395
|-
|-
|14
|19\16
|F\\
|83.824
|D#v/Eb^
|
|F\\
|E#v/Fb^
|1088.059
|1092.26
| colspan="2" |1098.039
|1104.598
| colspan="2" |''1111.765''
|1120
|1129.412
|-
|-
|15
|6\5
|Epv/F\\^
|D#
|Fpv/G\\^
|E#
|1164.706
|1170.028
| colspan="2" |1176.471
|1183.391
| colspan="2" |''1191.1765''
|1200
|1210.084
|-
|16
|Ep
|E
|Fp
|F
|1242.353
|1248.297
| colspan="2" |1254.902
|1262.284
| colspan="2" |''1270.588''
|1280
|1290.756
|-
|17
| colspan="2" |F
| colspan="2" |G
|1320
|1326.316
| colspan="2" |1333.333
|1341.1765
| colspan="2" |''1350''
|1360
|1371.429
|}
{| class="wikitable"
! rowspan="3" |Degrees
! colspan="2" rowspan="3" |Octatonic
! colspan="6" |Aeolian
! colspan="6" |Intense Aeolian
|-
! colspan="3" |Flattone
! colspan="3" |Meantone
! colspan="3" |Superpyth
! colspan="3" |Ultrapyth
|-
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
|-
|1
|G
|Gb
|80.672
|81.448
| colspan="2" |81.734
|81.882
| colspan="2" |''82.353''
|83.045
|83.422
| colspan="2" |83.8235
|84.706
|84.706
|-
|Ultrapyth Intense Aeolian mode ends
|2
|}Golden/Pyrite Tunings±13¢
|A\\
|F#v/Gb^
|161.3445
|162.896
| colspan="2" |163.4675
|163.765
| colspan="2" |''164.706''
|166.09
|166.845
| colspan="2" |167.647
|169.412
|-
|3
|Gpv/A\\^
|F#
|242.017
|244.344
| colspan="2" |245.201
|245.647
| colspan="2" |''247.059''
|249.135
|250.267
| colspan="2" |251.471
|254.118
|-
|4
|Gp
|G
|322.689
|325.792
| colspan="2" |326.935
|327.529
| colspan="2" |''329.412''
|332.18
|333.69
| colspan="2" |335.294
|338.8235
|-
|5
| colspan="2" |A
|403.361
|407.24
| colspan="2" |408.669
|409.412
| colspan="2" |''411.765''
|415.225
|417.112
| colspan="2" |419.118
|423.529
|-
|6
| colspan="2" |B
|484.034
|488.688
| colspan="2" |490.4025
|491.294
| colspan="2" |''494.118''
|498.27
|500.535
| colspan="2" |502.941
|508.235
|-
|7
|H
|Hb
|564.706
|570.136
| colspan="2" |572.136
|573.1765
| colspan="2" |''576.471''
|581.315
|583.957
| colspan="2" |586.768
|592.941
|-
|8
|C\\
|B#v/Hb^
|645.378
|651.584
| colspan="2" |653.87
|655.059
| colspan="2" |''658.8235''
|664.36
|667.38
| colspan="2" |670.588
|677.647
|-
|9
|Hpv/C\\^
|B#
|726.05
|733.032
| colspan="2" |735.604
|736.941
| colspan="2" |''741.1765''
|747.405
|750.802
| colspan="2" |754.412
|762.653
|-
|10
|Hp
|H
|806.723
|814.48
| colspan="2" |817.3375
|818.8235
| colspan="2" |''823.529''
|830.45
|834.225
| colspan="2" |838.235
|847.059
|-
|11
| colspan="2" |C
|887.395
|895.928
| colspan="2" |899.071
|900.706
| colspan="2" |''905.882''
|913.495
|917.647
| colspan="2" |922.059
|931.765
|-
|12
| colspan="2" |D
|968.067
|977.376
| colspan="2" |980.805
|982.588
| colspan="2" |''988.235''
|996.54
|1001.0695
| colspan="2" |1005.882
|1016.471
|-
|13
|E
|Eb
|1048.7395
|1058.8235
| colspan="2" |1062.539
|1064.471
| colspan="2" |''1070.588''
|1079.585
|1084.492
| colspan="2" |1089.706
|1101.1765
|-
|14
|F\\
|D#v/Eb^
|1129.412
|1140.2715
| colspan="2" |1144.272
|1146.353
| colspan="2" |''1152.941''
|1162.63
|1167.914
| colspan="2" |1173.529
|1185.882
|-
|15
|Epv/F\\^
|D#
|1210.084
|1221.7195
| colspan="2" |1226.006
|1228.235
| colspan="2" |''1233.294''
|1245.675
|1251.337
| colspan="2" |1257.353
|1270.588
|-
|16
|Ep
|E
|1290.756
|1303.167
| colspan="2" |1307.74
|1310.118
| colspan="2" |''1317.647''
|1328.72
|1334.759
| colspan="2" |1341.1765
|1355.294
|-
|17
| colspan="2" |F
|1371.429
|1384.615
| colspan="2" |1389.474
|1392
| colspan="2" |''1400''
|1411.765
|1418.182
| colspan="2" |1425
|1440
|}
Golden/Pyrite Tunings±13¢


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