User:Moremajorthanmajor/17edIX: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
No edit summary
No edit summary
Line 5: Line 5:
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! colspan="2" rowspan="2" |Octatonic
! colspan="2" rowspan="2" |Octatonic
! colspan="3" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
! colspan="4" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
! colspan="2" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
! colspan="3" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
! colspan="2" |Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
! colspan="3" |Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
|-
|-
!Absolute Minimum
!Absolute Minimum
!Minimum
!Minimum
!Median
!Maximum
!Maximum
! |Minimum
! |Minimum
!Median
!Maximum
!Maximum
!Minimum
!Minimum
!Median
!Maximum
!Maximum
|-
|-
Line 21: Line 24:
| |Gb
| |Gb
|70.588
|70.588
|73.412
|74.622
|75.294
| colspan="2" |77.647
| colspan="2" |77.647
|78.893
| colspan="2" |80.672
| colspan="2" |80.672
|82.353
|84.706
|84.706
|-
|-
Line 30: Line 36:
| |F#v/Gb^
| |F#v/Gb^
|141.1765
|141.1765
|146.8235
|149.244
|150.588
| colspan="2" |155.294
| colspan="2" |155.294
|157.7855
| colspan="2" |161.3445
| colspan="2" |161.3445
|164.706
|169.412
|169.412
|-
|-
Line 39: Line 48:
| |F#
| |F#
|211.765
|211.765
|220.235
|213.8655
|225.882
| colspan="2" |232.941
| colspan="2" |232.941
|236.678
| colspan="2" |242.017
| colspan="2" |242.017
|247.059
|254.118
|254.118
|-
|-
Line 48: Line 60:
| |G
| |G
|282.353
|282.353
|293.647
|298.487
|301.1765
| colspan="2" |310.588
| colspan="2" |310.588
|315.571
| colspan="2" |322.689
| colspan="2" |322.689
|329.412
|338.8235
|338.8235
|-
|-
Line 57: Line 72:
| |A
| |A
|352.941
|352.941
|367.059
|373.109
|376.471
| colspan="2" |387.235
| colspan="2" |387.235
|394.464
| colspan="2" |403.361
| colspan="2" |403.361
|411.765
|423.529
|423.529
|-
|-
Line 66: Line 84:
| |B
| |B
|423.529
|423.529
|440.471
|447.731
|451.765
| colspan="2" |464.822
| colspan="2" |464.822
|473.356
| colspan="2" |484.034
| colspan="2" |484.034
|494.118
|508.235
|508.235
|-
|-
Line 75: Line 96:
| |Hb
| |Hb
|494.118
|494.118
|513.882
|522.353
|527.059
| colspan="2" |542.529
| colspan="2" |542.529
|564.706
|552.249
|
| colspan="2" |564.706
|576.471
|592.941
|592.941
|-
|-
Line 85: Line 108:
| |B#v/Hb^
| |B#v/Hb^
|564.706
|564.706
|587.294
|596.975
|602.353
| colspan="2" |620.1765
| colspan="2" |620.1765
|651.142
| colspan="2" |645.378
| colspan="2" |645.378
|658.8235
|677.647
|677.647
|-
|-
Line 94: Line 120:
| |B#
| |B#
|635.294
|635.294
|660.706
|671.597
|677.647
| colspan="2" |697.8235
| colspan="2" |697.8235
|710.035
| colspan="2" |726.05
| colspan="2" |726.05
|741.1765
|762.653
|762.653
|-
|-
Line 103: Line 132:
| |H
| |H
|705.882
|705.882
|734.118
|746.2185
|752.941
| colspan="2" |777.471
| colspan="2" |777.471
|788.927
| colspan="2" |806.723
| colspan="2" |806.723
|823.529
|847.059
|847.059
|-
|-
Line 112: Line 144:
| |C
| |C
|776.471
|776.471
|807.526
|820.84
|828.235
| colspan="2" |855.118
| colspan="2" |855.118
|867.82
| colspan="2" |887.395
| colspan="2" |887.395
|905.882
|931.765
|931.765
|-
|-
Line 121: Line 156:
| |D
| |D
|847.059
|847.059
|880.841
|895.462
|903.529
| colspan="2" |932.765
| colspan="2" |932.765
|956.713
| colspan="2" |968.067
| colspan="2" |968.067
|988.235
|1016.471
|1016.471
|-
|-
Line 130: Line 168:
| |Eb
| |Eb
|917.647
|917.647
|954.352
|970.084
|978.8235
| colspan="2" |1010.412
| colspan="2" |1010.412
|1025.6055
| colspan="2" |1048.7395
| colspan="2" |1048.7395
|1070.588
|1101.1765
|1101.1765
|-
|-
Line 139: Line 180:
|D#v/Eb^
|D#v/Eb^
|988.235
|988.235
|1027.765
|1044.706
|1054.118
| colspan="2" |1088.059
| colspan="2" |1088.059
|1104.598
| colspan="2" |1129.412
| colspan="2" |1129.412
|1152.941
|1185.882
|1185.882
|-
|-
Line 148: Line 192:
|D#
|D#
|1058.8235
|1058.8235
|1101.1765
|1119.328
|1129.412
| colspan="2" |1164.706
| colspan="2" |1164.706
|1183.391
| colspan="2" |1210.084
| colspan="2" |1210.084
|1233.294
|1270.588
|1270.588
|-
|-
Line 157: Line 204:
|E
|E
|1129.412
|1129.412
|1174.588
|1193.95
|1204.706
| colspan="2" |1242.353
| colspan="2" |1242.353
|1262.284
| colspan="2" |1290.756
| colspan="2" |1290.756
|1317.647
|1355.294
|1355.294
|-
|-
Line 165: Line 215:
| colspan="2" |F
| colspan="2" |F
|1200
|1200
|1248
|1268.571
|1280
| colspan="2" |1320
| colspan="2" |1320
|1341.1765
| colspan="2" |1371.429
| colspan="2" |1371.429
|1400
|1440
|1440
|}Golden Tunings
|}Golden Tunings
{| class="wikitable"
{| class="wikitable"
|-
|-
!Degrees
! rowspan="2" |Degrees
! colspan="2" |Octatonic
! colspan="2" rowspan="2" |Octatonic
!Phrygian Mode (natural minor)
! colspan="3" |Phrygian Mode (natural minor)
!Phrygian-Aeolian Mode (intermediate minor)
! colspan="2" |Phrygian-Aeolian Mode (intermediate minor)
!Aeolian Mode (melodic/harmonic minor)
! colspan="3" |Aeolian Mode (melodic/harmonic minor)
|-
!Min-Med
!Min-Max
!Med-Max
!Min-Med/Min-Max
!Med-Max
!Min-Med
!Min-Max
!Med-Max
|-
|-
| |1
| |1
|G
|G
| |Gb
| |Gb
|74.251
|74.763
|75.076
|75.981
|78.561
|78.561
|79.254
|81.254
|81.908
|81.908
|83.153
|-
|-
| |2
| |2
|A\\
|A\\
| |F#v/Gb^
| |F#v/Gb^
|148.5025
|149.525
|150.152
|151.961
|157.121
|157.121
|158.5075
|162.509
|163.815
|163.815
|166.306
|-
|-
| |3
| |3
|Gpv/A\\^
|Gpv/A\\^
| |F#
| |F#
|222.754
|224.288
|225.228
|227.942
|235.982
|235.982
|237.761
|243.763
|245.723
|245.723
|249.458
|-
|-
| |4
| |4
|Gp
|Gp
| |G
| |G
|297.005
|299.0505
|300.3035
|303.923
|314.242
|314.242
|317.015
|325.017
|327.63
|327.63
|332.611
|-
|-
| |5
| |5
|A
|A
| |A
| |A
|371.256
|373.813
|375.379
|379.9035
|392.803
|392.803
|396.269
|406.271
|409.538
|409.538
|415.764
|-
|-
| |6
| |6
|B
|B
| |B
| |B
|445.5075
|448.576
|450.455
|455.884
|471.264
|471.264
|475.522
|487.526
|491.4455
|491.4455
|498.917
|-
|-
| |7
| |7
|H
|H
| |Hb
| |Hb
|519.759
|523.338
|525.531
|531.865
|549.924
|549.924
|554.776
|568.78
|573.353
|573.353
|582.07
|-
|-
| |8
| |8
|C\\
|C\\
| |B#v/Hb^
| |B#v/Hb^
|594.01
|598.101
|600.607
|607.846
|628.485
|628.485
|634.03
|650.034
|655.261
|655.261
|665.2225
|-
|-
| |9
| |9
|Hpv/C\\^
|Hpv/C\\^
| |B#
| |B#
|668.261
|672.864
|675.683
|683.826
|707.0455
|707.0455
|713.284
|731.2885
|737.168
|737.168
|748.375
|-
|-
| |10
| |10
|Hp
|Hp
| |H
| |H
|742.5125
|747.626
|750.759
|759.807
|785.606
|785.606
|792.537
|812.543
|819.076
|819.076
|831.528
|-
|-
| |11
| |11
|C
|C
| |C
| |C
|816.764
|822.389
|825.835
|835.788
|864.168
|864.168
|871.791
|893.797
|900.983
|900.983
|914.681
|-
|-
| |12
| |12
|D
|D
| |D
| |D
|891.015
|897.1515
|900.9105
|911.768
|942.727
|942.727
|951.045
|975.051
|982.891
|982.891
|997.833
|-
|-
| |13
| |13
|E
|E
| |Eb
| |Eb
|965.266
|971.914
|975.986
|987.749
|1021.288
|1021.288
|1030.2985
|1056.306
|1064.799
|1064.799
|1080.986
|-
|-
|14
|14
|F\\
|F\\
|D#v/Eb^
|D#v/Eb^
|1039.518
|1046.877
|1051.062
|1063.728
|1099.849
|1099.849
|1109.552
|1137.56
|1146.706
|1146.706
|1164.139
|-
|-
|15
|15
|Epv/F\\^
|Epv/F\\^
|D#
|D#
|1113.769
|1121.439
|1126.138
|1139.71
|1178.409
|1178.409
|1188.806
|1218.814
|1228.614
|1228.614
|1247.292
|-
|-
|16
|16
|Ep
|Ep
|E
|E
|1188.02
|1196.202
|1201.214
|1215.69
|1256.97
|1256.97
|1268.06
|1300.0685
|1310.521
|1310.521
|1330.445
|-
|-
|17
|17
| colspan="2" |F
| colspan="2" |F
|1262.271
|1270.965
|1276.29
|1291.672
|1335.53
|1335.53
|1347.313
|1381.322
|1392.429
|1392.429
|1413.598
|}
|}

Revision as of 19:31, 26 October 2018

This scale, a Long Common Practice minor mode, has the Grandfather 3L 5s MOS with a 4:1 ratio of large against small.

Intervals

Degrees Octatonic Phrygian Mode (aka Double) Neapolitan Temperament (natural minor) Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor) Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
Absolute Minimum Minimum Median Maximum Minimum Median Maximum Minimum Median Maximum
1 G Gb 70.588 74.622 75.294 77.647 78.893 80.672 82.353 84.706
2 A\\ F#v/Gb^ 141.1765 149.244 150.588 155.294 157.7855 161.3445 164.706 169.412
3 Gpv/A\\^ F# 211.765 213.8655 225.882 232.941 236.678 242.017 247.059 254.118
4 Gp G 282.353 298.487 301.1765 310.588 315.571 322.689 329.412 338.8235
5 A A 352.941 373.109 376.471 387.235 394.464 403.361 411.765 423.529
6 B B 423.529 447.731 451.765 464.822 473.356 484.034 494.118 508.235
7 H Hb 494.118 522.353 527.059 542.529 552.249 564.706 576.471 592.941
8 C\\ B#v/Hb^ 564.706 596.975 602.353 620.1765 651.142 645.378 658.8235 677.647
9 Hpv/C\\^ B# 635.294 671.597 677.647 697.8235 710.035 726.05 741.1765 762.653
10 Hp H 705.882 746.2185 752.941 777.471 788.927 806.723 823.529 847.059
11 C C 776.471 820.84 828.235 855.118 867.82 887.395 905.882 931.765
12 D D 847.059 895.462 903.529 932.765 956.713 968.067 988.235 1016.471
13 E Eb 917.647 970.084 978.8235 1010.412 1025.6055 1048.7395 1070.588 1101.1765
14 F\\ D#v/Eb^ 988.235 1044.706 1054.118 1088.059 1104.598 1129.412 1152.941 1185.882
15 Epv/F\\^ D# 1058.8235 1119.328 1129.412 1164.706 1183.391 1210.084 1233.294 1270.588
16 Ep E 1129.412 1193.95 1204.706 1242.353 1262.284 1290.756 1317.647 1355.294
17 F 1200 1268.571 1280 1320 1341.1765 1371.429 1400 1440

Golden Tunings

Degrees Octatonic Phrygian Mode (natural minor) Phrygian-Aeolian Mode (intermediate minor) Aeolian Mode (melodic/harmonic minor)
Min-Med Min-Max Med-Max Min-Med/Min-Max Med-Max Min-Med Min-Max Med-Max
1 G Gb 74.763 75.076 75.981 78.561 79.254 81.254 81.908 83.153
2 A\\ F#v/Gb^ 149.525 150.152 151.961 157.121 158.5075 162.509 163.815 166.306
3 Gpv/A\\^ F# 224.288 225.228 227.942 235.982 237.761 243.763 245.723 249.458
4 Gp G 299.0505 300.3035 303.923 314.242 317.015 325.017 327.63 332.611
5 A A 373.813 375.379 379.9035 392.803 396.269 406.271 409.538 415.764
6 B B 448.576 450.455 455.884 471.264 475.522 487.526 491.4455 498.917
7 H Hb 523.338 525.531 531.865 549.924 554.776 568.78 573.353 582.07
8 C\\ B#v/Hb^ 598.101 600.607 607.846 628.485 634.03 650.034 655.261 665.2225
9 Hpv/C\\^ B# 672.864 675.683 683.826 707.0455 713.284 731.2885 737.168 748.375
10 Hp H 747.626 750.759 759.807 785.606 792.537 812.543 819.076 831.528
11 C C 822.389 825.835 835.788 864.168 871.791 893.797 900.983 914.681
12 D D 897.1515 900.9105 911.768 942.727 951.045 975.051 982.891 997.833
13 E Eb 971.914 975.986 987.749 1021.288 1030.2985 1056.306 1064.799 1080.986
14 F\\ D#v/Eb^ 1046.877 1051.062 1063.728 1099.849 1109.552 1137.56 1146.706 1164.139
15 Epv/F\\^ D# 1121.439 1126.138 1139.71 1178.409 1188.806 1218.814 1228.614 1247.292
16 Ep E 1196.202 1201.214 1215.69 1256.97 1268.06 1300.0685 1310.521 1330.445
17 F 1270.965 1276.29 1291.672 1335.53 1347.313 1381.322 1392.429 1413.598
Retrieved from "https://en.xen.wiki/index.php?title=User:Moremajorthanmajor/17edIX&oldid=37972"