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This scale occurs in 12edo, where it is the equal division of the major ninth.
This scale occurs in 12edo, where it is the equal division of the major ninth. It has the Macroshrutis MOS with a 2:1 ratio of large against small.


==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
|+
! colspan="5" rowspan="2" |Period
! colspan="6" |Octatonic (6L 2s)
! rowspan="2" |Notes
|-
!L
!s
! colspan="4" |Pentachord
|-
|1\1edo
|
|
|
|
|171.429
|85.714
|171.429
|342.857
|514.286
|600
|Phrygian Mode (aka Double) Neapolitan Temperament from here …
|-
|
|
|
|
|15\14
|183.6735
|91.837
|183.6735
|367.347
|551.02
|642.857
|
|-
|
|
|
|14\13
|
|184.615
|92.308
|184.615
|369.231
|553.846
|646.154
|
|-
|
|
|
|
|27\25
|185.143
|92.571
|185.143
|370.286
|555.571
|648
|
|-
|
|
|13\12
|
|
|185.714
|92.857
|185.714
|371.429
|557.143
|650
|
|-
|
|
|
|
|38\35
|186.122
|93.061
|186.122
|372.245
|558.367
|651.429
|
|-
|
|
|
|25\23
|
|186.335
|93.168
|186.335
|372.671
|559.006
|652.174
|
|-
|
|
|
|
|37\34
|186.555
|93.278
|186.555
|373.109
|559.664
|652.941
|
|-
|
|12\11
|
|
|
|187.013
|93.5065
|187.013
|374.026
|561.039
|654.5455
|
|-
|
|
|
|
|46\43
|187.375
|93.688
|187.375
|374.751
|562.126
|655.813
|
|-
|
|
|
|35\32
|
|187.5
|93.75
|187.5
|375
|562.5
|656.25
|
|-
|
|
|
|
|58\53
|187.601
|93.8005
|187.601
|375.202
|562.803
|656.604
|
|-
|
|
|23\21
|
|
|187.755
|93.878
|187.755
|375.51
|563.265
|657.143
|
|-
|
|
|
|
|57\52
|187.912
|93.956
|187.912
|375.824
|563.736
|658.242
|
|-
|
|
|
|34\31
|
|188.018
|94.009
|188.018
|376.037
|564.055
|658.0645
|
|-
|
|
|
|
|45\41
|188.153
|94.077
|188.153
|376.307
|564.46
|658.537
|
|-
|11\10
|
|
|
|
|188.571
|94.286
|188.571
|377.143
|565.714
|660
|…to here
Phrygian-Aeolian Mode Neapolitan Temperament from here …
|-
|
|
|
|
|54\49
|188.921
|94.461
|188.921
|377.842
|566.764
|661.2245
|
|-
|
|
|
|43\39
|
|189.011
|94.5055
|189.011
|378.022
|567.033
|661.5385
|
|-
|
|
|
|
|75\68
|189.076
|94.538
|189.076
|378.151
|567.227
|661.765
|
|-
|
|
|32\29
|
|
|189.163
|94.581
|189.163
|378.325
|567.488
|662.069
|
|-
|
|
|
|
|85\77
|189.239
|94.62
|189.239
|378.478
|567.717
|662.338
|
|-
|
|
|
|53\48
|
|189.286
|94.643
|189.286
|378.571
|567.857
|662.5
|
|-
|
|
|
|
|74\67
|189.339
|94.6695
|189.339
|378.678
|568.017
|662.687
|
|-
|
|21\19
|
|
|
|189.474
|94.736
|189.474
|378.947
|568.421
|663.158
|
|-
|
|
|
|
|73\66
|189.61
|94.805
|189.61
|379.221
|568.831
|663.636
|
|-
|
|
|
|52\47
|
|189.666
|94.833
|189.666
|379.331
|568.997
|663.83
|
|-
|
|
|
|
|83\75
|189.714
|94.857
|189.714
|379.429
|569.143
|664
|
|-
|
|
|31\28
|
|
|189.796
|94.898
|189.796
|379.591
|569.388
|664.286
|
|-
|
|
|
|
|72\65
|189.89
|94.945
|189.89
|379.78
|569.67
|664.615
|
|-
|
|
|
|41\37
|
|189.961
|94.981
|189.961
|379.923
|569.884
|644.865
|
|-
|
|
|
|
|51\46
|190.062
|95.031
|190.062
|380.124
|570.186
|665.217
|
|-
|10\9
|
|
|
|
|190.476
|95.238
|190.476
|380.952
|571.429
|666.667
|
|-
|
|
|
|
|49\44
|190.909
|95.4545
|190.909
|381.818
|572.727
|668.182
|
|-
|
|
|
|39\35
|
|191.02
|95.51
|191.02
|382.041
|573.061
|668.571
|
|-
|
|
|
|
|68\61
|191.101
|95.55
|191.101
|382.201
|573.302
|668.8525
|
|-
|
|
|29\26
|
|
|191.209
|95.604
|191.209
|382.418
|573.626
|669.231
|
|-
|
|
|
|
|77\69
|191.304
|95.652
|191.304
|382.609
|573.913
|669.567
|
|-
|
|
|
|48\43
|
|191.362
|95.681
|191.362
|382.724
|574.086
|669.767
|
|-
|
|
|
|
|67\60
|191.429
|95.714
|191.429
|382.857
|574.286
|670
|
|-
|
|19\17
|
|
|
|191.597
|95.798
|191.597
|383.193
|574.79
|670.588
|
|-
|
|
|
|
|66\59
|191.768
|95.884
|191.768
|383.535
|575.303
|671.187
|
|-
|
|
|
|47\42
|
|191.837
|95.918
|191.837
|383.675
|575.51
|671.429
|
|-
|
|
|
|
|75\67
|191.898
|95.949
|191.898
|383.795
|575.693
|671.642
|
|-
|
|
|28\25
|
|
|192
|96
|192
|384
|576
|672
|
|-
|
|
|
|
|65\58
|192.118
|96.059
|192.118
|384.236
|576.355
|672.414
|
|-
|
|
|
|37\33
|
|192.208
|96.104
|192.208
|384.416
|576.623
|672.727
|
|-
|
|
|
|
|46\41
|192.334
|96.167
|192.334
|384.669
|577.0035
|673.171
|
|-
|9\8
|
|
|
|
|192.857
|96.429
|192.857
|385.714
|578.571
|675
|
|-
|
|
|
|
|44\39
|193.407
|96.703
|193.407
|386.813
|580.22
|676.923
|
|-
|
|
|
|35\31
|
|193.548
|96.774
|193.548
|387.097
|580.645
|677.419
|
|-
|
|
|
|
|61\54
|193.651
|96.825
|193.651
|387.302
|580.952
|677.778
|
|-
|
|
|26\23
|
|
|193.789
|96.894
|193.789
|387.578
|581.3665
|678.261
|
|-
|
|
|
|
|69\61
|193.911
|96.9555
|193.911
|387.822
|581.733
|678.6885
|
|-
|
|
|
|43\38
|
|193.985
|96.9925
|193.985
|387.97
|581.955
|678.947
|
|-
|
|
|
|
|60\53
|194.07
|97.035
|194.07
|388.14
|582.21
|679.245
|
|-
|
|17\15
|
|
|
|194.286
|97.143
|194.286
|388.571
|582.857
|680
|
|-
|
|
|
|
|59\52
|194.5055
|97.253
|194.5055
|389.011
|583.5165
|680.769
|
|-
|
|
|
|42\37
|
|194.595
|94.297
|194.595
|389.189
|583.784
|681.081
|
|-
|
|
|
|
|67\59
|194.673
|97.337
|194.673
|389.346
|584.019
|681.356
|
|-
|
|
|25\22
|
|
|194.805
|97.403
|194.805
|389.61
|584.416
|681.818
|
|-
|
|
|
|
|58\51
|194.958
|97.479
|194.958
|389.916
|584.874
|682.353
|
|-
|
|
|
|33\29
|
|195.074
|97.537
|195.074
|390.148
|585.222
|682.759
|
|-
|
|
|
|
|41\36
|195.238
|97.619
|195.238
|390.476
|585.714
|683.333
|
|-
|8\7
|
|
|
|
|195.918
|97.959
|195.918
|391.836
|587.755
|685.714
|…to here
Aeolian Mode Neapolitan Temperament from here …
|-
|
|
|
|
|39\34
|196.639
|98.314
|196.639
|393.277
|589.916
|688.235
|
|-
|
|
|
|31\27
|
|196.825
|98.413
|196.825
|393.651
|590.476
|688.889
|
|-
|
|
|
|
|54\47
|196.9605
|98.48
|196.9605
|393.921
|590.8815
|689.362
|
|-
|
|
|23\20
|
|
|197.143
|98.571
|197.143
|394.286
|591.429
|690
|
|-
|
|
|
|
|61\53
|197.305
|98.602
|197.305
|394.609
|591.914
|690.566
|
|-
|
|
|
|38\33
|
|197.403
|98.701
|197.403
|394.805
|592.208
|690.909
|
|-
|
|
|
|
|53\46
|197.5155
|98.758
|197.5155
|395.031
|592.547
|691.304
|
|-
|
|15\13
|
|
|
|197.802
|98.901
|197.802
|395.604
|593.407
|692.308
|
|-
|
|
|
|
|52\45
|198.095
|99.048
|198.095
|396.1905
|594.286
|693.333
|
|-
|
|
|
|37\32
|
|198.214
|99.107
|198.214
|396.429
|594.643
|693.75
|
|-
|
|
|
|
|59\51
|198.319
|99.16
|198.319
|396.639
|594.958
|694.118
|
|-
|
|
|22\19
|
|
|198.496
|99.248
|198.496
|396.9925
|595.489
|694.737
|
|-
|
|
|
|
|51\44
|198.701
|99.351
|198.701
|397.403
|596.104
|695.4545
|
|-
|
|
|
|29\25
|
|198.857
|99.429
|198.857
|397.714
|596.571
|696
|
|-
|
|
|
|
|36\31
|199.078
|99.539
|199.078
|398.157
|597.235
|696.774
|
|-
|7\6
|
|
|
|
|200
|100
|200
|400
|600
|700
|
|-
|
|
|
|
|34\29
|200.985
|100.493
|200.985
|400.97
|602.956
|703.448
|
|-
|-
! | Degrees
|
! | Octatonic
|
! | Minimum
|
! | Golden
|27\23
! | Median
|
! | Mean
|201.242
! | ed(9/4)
|101.621
! | Maximum
|201.242
|402.4845
|603.727
|704.348
|
|-
|-
| | 1
|
| | A#/Bb
|
| | 91.429
|
| | 93.381
|
| | 94.286
|47\40
| | 97.143
|201.429
| | 100.279
|100.714
| | 102.857
|201.429
|403.857
|603.286
|705
|
|-
|-
| | 2
|
| | B
|
| | 182.857
|20\17
| | 186.762
|
| | 188.571
|
| | 194.286
|201.681
| | 200.559
|100.84
| | 205.714
|201.681
|403.361
|605.045
|705.882
|
|-
|-
| | 3
|
| | B#/Cb
|
| | 274.286
|
| | 280.142
|
| | 282.857
|53\45
| | 291.429
|201.905
| | 300.838
|100.952
| | 308.571
|201.905
|403.8095
|605.714
|706.667
|
|-
|-
| | 4
|
| | C
|
| | 365.714
|
| | 373.523
|33\28
| | 377.143
|
| | 388.571
|202.041
| | 401.117
|101.02
| | 411.429
|202.041
|404.082
|606.122
|707.143
|
|-
|-
| | 5
|
| | D
|
| | 457.143
|
| | 466.904
|
| | 471.429
|46\39
| | 485.714
|202.198
| | 501.396
|101.099
| | 514.286
|202.198
|404.396
|606.593
|707.692
|
|-
|-
| | 6
|
| | D#/Eb
|13\11
| | 548.571
|
| | 560.285
|
| | 565.714
|
| | 582.857
|202.597
| | 601.676
|101.299
| | 617.143
|202.597
|405.195
|607.792
|709.091
|
|-
|-
| | 7
|
| | E
|
| | 640
|
| | 653.666
|
| | 660
|45\38
| | 680
|203.0075
| | 701.955
|101.504
| | 720
|203.0075
|406.015
|609.023
|710.526
|
|-
|-
| | 8
|
| | E#/Fb
|
| | 731.429
|
| | 747.047
|32\27
| | 754.286
|
| | 777.143
|203.175
| | 802.234
|101.587
| | 822.857
|203.175
|406.349
|609.524
|711.111
|
|-
|-
| | 9
|
| | F
|
| | 822.857
|
| | 840.427
|
| | 848.571
|51\43
| | 874.286
|203.322
| | 902.514
|101.661
| | 925.714
|203.322
|406.6445
|609.967
|711.629
|
|-
|-
| | 10
|
| | F#/Gb
|
| | 914.286
|19\16
| | 933.808
|
| | 942.857
|
| | 971.429
|203.571
| | 1002.793
|101.786
| | 1028.571
|203.571
|407.143
|610.714
|712.5
|
|-
|-
| | 11
|
| | G
|
| | 1005.714
|
| | 1027.188
|
| | 1037.143
|44\37
| | 1068.579
|203.861
| | 1103.072
|101.9305
| | 1131.429
|203.861
|407.722
|611.583
|713.5135
|
|-
|-
| | 12
|
| | H
|
| | 1097.143
|
| | 1120.57
|25\21
| | 1131.429
|
| | 1165.714
|204.082
| | 1203.351
|102.041
| | 1234.286
|204.082
|408.163
|612.245
|714.286
|
|-
|-
| | 13
|
| | H#/Ab
|
| | 1188.571
|
| | 1213.9505
|
| | 1225.714
|31\26
| | 1262.857
|204.396
| | 1303.631
|102.198
| | 1337.143
|204.396
|408.791
|613.187
|715.384
|
|-
|-
| | 14
|6\5
| | A
|
| | 1280
|
| | 1307.331
|
| | 1320
|
| | 1360
|205.714
| | 1403.91
|102.857
| | 1440
|205.714
|411.429
|617.143
|720
|…to here
|}
|}
[[Category:14-tone]]
[[Category:14-tone]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/14edIX"