User:Moremajorthanmajor/13edIX: Difference between revisions

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Line 4: Line 4:
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! rowspan="2" |Octatonic
! rowspan="2" |Octatonic
! colspan="15" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
! colspan="20" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
|-
|-
!Absolute Minimum
!Absolute Minimum
!5ed(21/16)
!5ed(21/16)
!8ed(14/9)
! |Minimum
! |Minimum
!3ed(13/11)
!4ed(5/4)
!4ed(5/4)
!10ed(7/4)
!10ed(7/4)
! |Golden
! |Golden
!<nowiki><… -3 0 8|/48</nowiki>
!7ed(40/27)
!7ed(40/27)
!<nowiki><-1\4 -1\18 13\72|</nowiki>
!<nowiki><-18 -4 13|\72</nowiki>
! |Median
! |Median
!8ed(11/7)
!9ed(5/3)
!9ed(5/3)
!14ed(20/9)
!14ed(20/9)
Line 20: Line 24:
! |5ed(4/3)
! |5ed(4/3)
!7edf
!7edf
!ed(15/7)
! |Maximum
! |Maximum
|-
|-
Line 26: Line 31:
|92.308
|92.308
|94.156
|94.156
|95.6145
| |96
| |96
|96.403
|96.578
|96.578
|96.883
|96.883
| |97.098
| |97.098
|97.107
|97.207
|97.207
|97.42
|97.42
| |97.582
| |97.582
|97.8115
|98.262
|98.262
|98.743
|98.743
Line 38: Line 47:
| |99.609
| |99.609
|100.279
|100.279
|101.496
| |101.5385
| |101.5385
|-
|-
Line 44: Line 54:
|184.615
|184.615
|188.312
|188.312
|191.229
| |192
| |192
|192.8065
|193.157
|193.157
|193.765
|193.765
| |194.196
| |194.196
|194.213
|194.414
|194.414
|194.8405
|194.8405
| |195.164
| |195.164
|195.623
|196.524
|196.524
|197.486
|197.486
Line 56: Line 70:
| |199.218
| |199.218
|200.559
|200.559
|202.991
| |203.077
| |203.077
|-
|-
Line 62: Line 77:
|276.923
|276.923
|282.469
|282.469
|286.843
| |288
| |288
|289.21
|289.735
|289.735
|290.648
|290.648
| |291.293
| |291.293
|291.322
|291.621
|291.621
|292.261
|292.261
| |292.747
| |292.747
|293.4345
|294.786
|294.786
|286.229
|286.229
Line 74: Line 93:
| |298.827
| |298.827
|300.837
|300.837
|304.487
| |304.615
| |304.615
|-
|-
Line 80: Line 100:
|369.231
|369.231
|376.625
|376.625
|382.458
| |384
| |384
|385.613
|386.314
|386.314
|387.53
|387.53
| |388.391
| |388.391
|388.429
|338.828
|338.828
|389.681
|389.681
| |390.329
| |390.329
|391.246
|393.048
|393.048
|394.9725
|394.9725
Line 92: Line 116:
| |398.436
| |398.436
|401.117
|401.117
|405.982
| |406.154
| |406.154
|-
|-
Line 98: Line 123:
|461.5385
|461.5385
|470.781
|470.781
|478.072
| |480
| |480
|482.016
|482.892
|482.892
|484.413
|484.413
| |485.489
| |485.489
|485.537
|486.035
|486.035
|487.101
|487.101
| |487.912
| |487.912
|489.0575
|491.31
|491.31
|493.716
|493.716
Line 110: Line 139:
| |498.045
| |498.045
|501.396
|501.396
|507.478
| |507.692
| |507.692
|-
|-
Line 116: Line 146:
|553.846
|553.846
|564.937
|564.937
|573.687
| |576
| |576
|875.419
|579.471
|579.471
|581.2955
|581.2955
| |582.587
| |582.587
|582.644
|583.242
|583.242
|584.5215
|584.5215
| |585.4945
| |585.4945
|586.869
|589.5725
|589.5725
|592.459
|592.459
Line 128: Line 162:
| |597.654
| |597.654
|601.676
|601.676
|608.974
| |609.231
| |609.231
|-
|-
Line 134: Line 169:
|646.154
|646.154
|659.093
|659.093
|669.301
| |672
| |672
|674.823
|676.049
|676.049
|678.178
|678.178
| |679.685
| |679.685
|679.752
|680.448
|680.448
|681.942
|681.942
| |683.077
| |683.077
|684.6805
|687.835
|687.835
|691.202
|691.202
Line 146: Line 185:
| |697.263
| |697.263
|701.955
|701.955
|710.469
| |710.769
| |710.769
|-
|-
Line 152: Line 192:
|738.4615
|738.4615
|753.2495
|753.2495
|764.916
| |768
| |768
|771.226
|772.627
|772.627
|775.06
|775.06
| |776.782
| |776.782
|776.859
|777.656
|777.656
|779.362
|779.362
| |780.659
| |780.659
|782.492
|786.097
|786.097
|789.945
|789.945
Line 164: Line 208:
| |796.872
| |796.872
|802.234
|802.234
|811.965
| |812.308
| |812.308
|-
|-
Line 170: Line 215:
|830.769
|830.769
|847.406
|847.406
|860.53
| |864
| |864
|867.629
|869.206
|869.206
|871.943
|871.943
| |873.880
| |873.880
|873.966
|874.862
|874.862
|876.782
|876.782
| |878.242
| |878.242
|880.3035
|884.359
|884.359
|888.688
|888.688
Line 182: Line 231:
| |896.481
| |896.481
|902.514
|902.514
|913.46
| |913.846
| |913.846
|-
|-
Line 188: Line 238:
|923.077
|923.077
|941.562
|941.562
|956.145
| |960
| |960
|964.032
|965.784
|965.784
|968.826
|968.826
| |970.978
| |970.978
|971.073
|972.07
|972.07
|974.2025
|974.2025
| |975.824
| |975.824
|978.115
|982.621
|982.621
|987.431
|987.431
Line 200: Line 254:
| |996.09
| |996.09
|1002.793
|1002.793
|1014.956
| |1015.385
| |1015.385
|-
|-
Line 206: Line 261:
|1015.385
|1015.385
|1035.718
|1035.718
|1051.759
| |1056
| |1056
|1060.436
|1062.363
|1062.363
|1065.7085
|1065.7085
| |1068.076
| |1068.076
|1068.181
|1069.277
|1069.277
|1071.623
|1071.623
| |1073.407
| |1073.407
|1075.9265
|1080.882
|1080.882
|1086.174
|1086.174
Line 218: Line 277:
| |1095.699
| |1095.699
|1103.072
|1103.072
|1116.451
| |1116.923
| |1116.923
|-
|-
Line 224: Line 284:
|1107.692
|1107.692
|1129.874
|1129.874
|1147.374
| |1152
| |1152
|1156.839
|1158.941
|1158.941
|1162.591
|1162.591
| |1165.1735
| |1165.1735
|1165.2885
|1166.4835
|1166.4835
|1169.043
|1169.043
| |1170.989
| |1170.989
|1173.738
|1179.145
|1179.145
|1184.9175
|1184.9175
Line 236: Line 300:
| |1195.308
| |1195.308
|1203.3514
|1203.3514
|1217.947
| |1218.4615
| |1218.4615
|-
|-
Line 242: Line 307:
|1200
|1200
|1224.03
|1224.03
|1242.988
| |1248
| |1248
|1253.242
|1255.52
|1255.52
|1259.474
|1259.474
| |1262.271
| |1262.271
|1262.396
|1263.6905
|1263.6905
|1266.463
|1266.463
| |1268.286
| |1268.286
|1271.55
|1277.407
|1277.407
|1283.661
|1283.661
Line 254: Line 323:
| |1294.916
| |1294.916
|1303.631
|1303.631
|1319.443
| |1320
| |1320
|}
|}
Line 259: Line 329:
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! rowspan="2" |Octatonic
! rowspan="2" |Octatonic
! colspan="14" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
! colspan="20" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
|-
|-
! |Minimum
! |Minimum
Line 265: Line 335:
!10ed(9/5)
!10ed(9/5)
! |2ed(9/8)
! |2ed(9/8)
!9ed(17/10)
!ed(28/13)
!14ed(16/7)
!14ed(16/7)
! |Golden
! |Golden
!<nowiki><17/48 1/6 -11/48|</nowiki>
!ed(13/6)
!<nowiki><17 8 -11|/48</nowiki>
! |Mean
! |Mean
!9ed(12/7)
!ed(24/11)
!5ed(27/20)
!5ed(27/20)
!7ed(32/21)
!7ed(32/21)
!4ed(14/11)
!4ed(14/11)
! |Median
! |Median
!ed(11/5)
!3ed(6/5)
!3ed(6/5)
! |Maximum
! |Maximum
Line 282: Line 358:
|101.76
|101.76
| |101.955
| |101.955
|102.071
|102.177
|102.227
|102.227
| |102.733
| |102.733
|102.967
|103.462
|103.462
| |103.5165
| |103.5165
|103.681
|103.895
|103.91
|103.91
|104.174
|104.174
|104.377
|104.377
| |104.615
| |104.615
|105
|105.213
|105.213
| |105.4945
| |105.4945
Line 299: Line 381:
|203.519
|203.519
| |203.91
| |203.91
|204.143
|204.354
|204.453
|204.453
| |205.466
| |205.466
|205.934
|206.9245
|206.9245
| |207.033
| |207.033
|207.362
|207.79
|207.8205
|207.8205
|208.348
|208.348
|208.754
|208.754
| |209.231
| |209.231
|210.001
|210.4275
|210.4275
| |210.989
| |210.989
Line 316: Line 404:
|305.279
|305.279
| |305.865
| |305.865
|306.214
|306.53
|306.68
|306.68
| |308.199
| |308.199
|308.901
|310.387
|310.387
| |310.5465
| |310.5465
|311.043
|311.6855
|311.731
|311.731
|312.5225
|312.5225
|313.131
|313.131
| |313.846
| |313.846
|315.001
|315.641
|315.641
| |316.4835
| |316.4835
Line 333: Line 427:
|407.0385
|407.0385
| |407.82
| |407.82
|408.285
|408.707
|408.907
|408.907
| |410.932
| |410.932
|411.8685
|413.849
|413.849
| |414.066
| |414.066
|414.724
|415.581
|415.641
|415.641
|416.697
|416.697
|417.508
|417.508
| |418.4615
| |418.4615
|420.001
|420.855
|420.855
| |421.978
| |421.978
Line 350: Line 450:
|508.798
|508.798
| |509.775
| |509.775
|510.3565
|510.884
|511.134
|511.134
| |513.6655
| |513.6655
|514.836
|517.311
|517.311
| |517.582
| |517.582
|518.405
|519.476
|519.551
|519.551
|520.871
|520.871
|521.885
|521.885
| |523.077
| |523.077
|525.002
|526.069
|526.069
| |527.4725
| |527.4725
Line 367: Line 473:
|610.558
|610.558
| |611.73
| |611.73
|612.428
|613.061
|613.36
|613.36
| |616.399
| |616.399
|617.803
|620.774
|620.774
| |621.099
| |621.099
|622.086
|623.371
|623.4615
|623.4615
|625.045
|625.045
|626.262
|626.262
| |627.692
| |627.692
|630.002
|631.283
|631.283
| |632.967
| |632.967
Line 384: Line 496:
|712.317
|712.317
| |713.685
| |713.685
|714.499
|715.2375
|715.587
|715.587
| |719.132
| |719.132
|720.769
|724.236
|724.236
| |724.615
| |724.615
|725.767
|727.266
|727.372
|727.372
|729.219
|729.219
|730.639
|730.639
| |732.318
| |732.318
|735.002
|736.496
|736.496
| |738.4615
| |738.4615
Line 401: Line 519:
|814.077
|814.077
| |815.64
| |815.64
|816.57
|817.414
|817.814
|817.814
| |821.865
| |821.865
|823.737
|827.698
|827.698
| |828.132
| |828.132
|829.448
|831.161
|831.282
|831.282
|833.393
|833.393
|835.016
|835.016
| |836.923
| |836.923
|840.003
|841.71
|841.71
| |843.856
| |843.856
Line 418: Line 542:
|915.837
|915.837
| |917.595
| |917.595
|918.462
|919.591
|920.041
|920.041
| |924.598
| |924.598
|926.704
|931.1605
|931.1605
| |931.648
| |931.648
|933.129
|935.056
|935.192
|935.192
|937.567
|937.567
|939.393
|939.393
| |941.5385
| |941.5385
|945.003
|946.924
|946.924
| |949.4505
| |949.4505
Line 435: Line 565:
|1017.596
|1017.596
| |1019.55
| |1019.55
|1020.712
|1021.768
|1022.267
|1022.267
| |1027.331
| |1027.331
|1029.671
|1034.623
|1034.623
| |1035.165
| |1035.165
|1036.81
|1038.952
|1039.103
|1039.103
|1041.742
|1041.742
|1043.77
|1043.77
| |1046.154
| |1046.154
|1050.003
|1052.138
|1052.138
| |1054.945
| |1054.945
Line 452: Line 588:
|1119.356
|1119.356
| |1121.505
| |1121.505
|1122.784
|1123.945
|1124.494
|1124.494
| |1130.064
| |1130.064
|1132.638
|1138.085
|1138.085
| |1138.681
| |1138.681
|1140.491
|1142.847
|1143.013
|1143.013
|1145.916
|1145.916
|1148.147
|1148.147
| |1150.769
| |1150.769
|1155.004
|1157.351
|1157.351
| |1160.44
| |1160.44
Line 469: Line 611:
|1221.1155
|1221.1155
| |1223.46
| |1223.46
|1224.856
|1226.1215
|1226.721
|1226.721
| |1232.797
| |1232.797
|1235.6055
|1241.547
|1241.547
| |1242.198
| |1242.198
|1244.172
|1246.742
|1246.923
|1246.923
|1250.09
|1250.09
|1252.524
|1252.524
| |1255.385
| |1255.385
|1260.004
|1262.565
|1262.565
| |1265.9348
| |1265.9348
Line 486: Line 634:
|1322.875
|1322.875
| |1325.415
| |1325.415
|1326.927
|1328.298
|1238.947
|1238.947
| |1335.53
| |1335.53
|1338.573
|1345.0095
|1345.0095
| |1345.714
| |1345.714
|1347.853
|1350.637
|1350.833
|1350.833
|1354.264
|1354.264
|1356.901
|1356.901
| |1360
| |1360
|1365.004
|1367.779
|1367.779
| |1371.429
| |1371.429
Line 500: Line 654:
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! rowspan="2" |Octatonic
! rowspan="2" |Octatonic
! colspan="11" |Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
! colspan="13" |Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
|-
|-
! |Minimum
! |Minimum
!ed(20/9)
!ed(20/9)
! |Golden
! |Golden
!26ed5
! |Median
! |Median
!9ed(5/3)
!9ed(5/3)
! |ed(9/4)
! |ed(9/4)
!52ed(180/7)
! |Mean
! |Mean
!4ed(9/7)
!4ed(9/7)
Line 519: Line 675:
|106.339
|106.339
| |107.11
| |107.11
|107.166
| |107.692
| |107.692
|98.262
|98.262
| |107.993
| |107.993
|108.104
| |108.132
| |108.132
|108.771
|108.771
Line 533: Line 691:
|212.6775
|212.6775
| |214.22
| |214.22
|214.332
| |214.385
| |214.385
|196.524
|196.524
| |215.986
| |215.986
|216.208
| |216.264
| |216.264
|217.542
|217.542
Line 547: Line 707:
|319.016
|319.016
| |321.33
| |321.33
|321.498
| |322.077
| |322.077
|294.786
|294.786
| |323.979
| |323.979
|324.311
| |324.396
| |324.396
|326.313
|326.313
Line 561: Line 723:
|425.355
|425.355
| |428.44
| |428.44
|428.664
| |429.769
| |429.769
|393.048
|393.048
| |431.972
| |431.972
|432.415
| |432.5275
| |432.5275
|435.084
|435.084
Line 575: Line 739:
|531.694
|531.694
| |535.55
| |535.55
|535.83
| |583.4615
| |583.4615
|491.31
|491.31
| |539.965
| |539.965
|540.519
| |540.659
| |540.659
|543.855
|543.855
Line 589: Line 755:
|638.0325
|638.0325
| |642.6595
| |642.6595
|642.9945
| |646.154
| |646.154
|589.5725
|589.5725
| |647.9585
| |647.9585
|948.943
| |648.791
| |648.791
|652.626
|652.626
Line 603: Line 771:
|744.371
|744.371
| |749.769
| |749.769
|750.161
| |753.846
| |753.846
|687.835
|687.835
| |755.9515
| |755.9515
|756.727
| |756.923
| |756.923
|761.397
|761.397
Line 617: Line 787:
|850.71
|850.71
| |856.879
| |856.879
|857.327
| |861.5385
| |861.5385
|786.097
|786.097
| |863.945
| |863.945
|864.83
| |865.055
| |865.055
|870.168
|870.168
Line 631: Line 803:
|957.049
|957.049
| |963.989
| |963.989
|964.493
| |969.231
| |969.231
|884.359
|884.359
| |971.938
| |971.938
|972.934
| |973.187
| |973.187
|978.939
|978.939
Line 645: Line 819:
|1063.3875
|1063.3875
| |1071.099
| |1071.099
|1071.659
| |1076.923
| |1076.923
|982.621
|982.621
| |1079.931
| |1079.931
|1081.038
| |1081.319
| |1081.319
|1087.71
|1087.71
Line 659: Line 835:
|1169.726
|1169.726
| |1178.209
| |1178.209
|1178.825
| |1184.615
| |1184.615
|1080.882
|1080.882
| |1187.924
| |1187.924
|1189.142
| |1189.4505
| |1189.4505
|1196.481
|1196.481
Line 673: Line 851:
|1276.065
|1276.065
| |1285.319
| |1285.319
|1285.991
| |1292.308
| |1292.308
|1179.145
|1179.145
| |1295.917
| |1295.917
|1297.246
| |1297.582
| |1297.582
|1305.252
|1305.252
Line 687: Line 867:
|1382.403
|1382.403
| |1392.429
| |1392.429
|1393.157
| |1400
| |1400
|1277.407
|1277.407
| |1403.91
| |1403.91
|1405.3495
| |1405.714
| |1405.714
|1414.023
|1414.023

Revision as of 21:45, 16 October 2018

This scale, a Long Common Practice minor mode, occurs in 12edo; where it is the equal division of the minor ninth. It has the Grandfather 5L 3s MOS with a 2:1 ratio of large against small.

Tuning spectrum

Degrees Octatonic Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
Absolute Minimum 5ed(21/16) 8ed(14/9) Minimum 3ed(13/11) 4ed(5/4) 10ed(7/4) Golden <… -3 0 8|/48 7ed(40/27) <-18 -4 13|\72 Median 8ed(11/7) 9ed(5/3) 14ed(20/9) Mean 5ed(4/3) 7edf ed(15/7) Maximum
1 F#/Gb 92.308 94.156 95.6145 96 96.403 96.578 96.883 97.098 97.107 97.207 97.42 97.582 97.8115 98.262 98.743 98.769 99.609 100.279 101.496 101.5385
2 G 184.615 188.312 191.229 192 192.8065 193.157 193.765 194.196 194.213 194.414 194.8405 195.164 195.623 196.524 197.486 197.5385 199.218 200.559 202.991 203.077
3 G#/Ab 276.923 282.469 286.843 288 289.21 289.735 290.648 291.293 291.322 291.621 292.261 292.747 293.4345 294.786 286.229 296.308 298.827 300.837 304.487 304.615
4 A 369.231 376.625 382.458 384 385.613 386.314 387.53 388.391 388.429 338.828 389.681 390.329 391.246 393.048 394.9725 395.076 398.436 401.117 405.982 406.154
5 B 461.5385 470.781 478.072 480 482.016 482.892 484.413 485.489 485.537 486.035 487.101 487.912 489.0575 491.31 493.716 493.846 498.045 501.396 507.478 507.692
6 B#/Hb 553.846 564.937 573.687 576 875.419 579.471 581.2955 582.587 582.644 583.242 584.5215 585.4945 586.869 589.5725 592.459 592.615 597.654 601.676 608.974 609.231
7 H 646.154 659.093 669.301 672 674.823 676.049 678.178 679.685 679.752 680.448 681.942 683.077 684.6805 687.835 691.202 691.385 697.263 701.955 710.469 710.769
8 C 738.4615 753.2495 764.916 768 771.226 772.627 775.06 776.782 776.859 777.656 779.362 780.659 782.492 786.097 789.945 790.154 796.872 802.234 811.965 812.308
9 C#/Db 830.769 847.406 860.53 864 867.629 869.206 871.943 873.880 873.966 874.862 876.782 878.242 880.3035 884.359 888.688 888.923 896.481 902.514 913.46 913.846
10 D 923.077 941.562 956.145 960 964.032 965.784 968.826 970.978 971.073 972.07 974.2025 975.824 978.115 982.621 987.431 987.692 996.09 1002.793 1014.956 1015.385
11 D#/Eb 1015.385 1035.718 1051.759 1056 1060.436 1062.363 1065.7085 1068.076 1068.181 1069.277 1071.623 1073.407 1075.9265 1080.882 1086.174 1086.4615 1095.699 1103.072 1116.451 1116.923
12 E 1107.692 1129.874 1147.374 1152 1156.839 1158.941 1162.591 1165.1735 1165.2885 1166.4835 1169.043 1170.989 1173.738 1179.145 1184.9175 1185.231 1195.308 1203.3514 1217.947 1218.4615
13 F 1200 1224.03 1242.988 1248 1253.242 1255.52 1259.474 1262.271 1262.396 1263.6905 1266.463 1268.286 1271.55 1277.407 1283.661 1284 1294.916 1303.631 1319.443 1320
Degrees Octatonic Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
Minimum 8ed(8/5) 10ed(9/5) 2ed(9/8) 9ed(17/10) ed(28/13) 14ed(16/7) Golden ed(13/6) <17 8 -11|/48 Mean 9ed(12/7) ed(24/11) 5ed(27/20) 7ed(32/21) 4ed(14/11) Median ed(11/5) 3ed(6/5) Maximum
1 F#/Gb 101.5385 101.711 101.76 101.955 102.071 102.177 102.227 102.733 102.967 103.462 103.5165 103.681 103.895 103.91 104.174 104.377 104.615 105 105.213 105.4945
2 G 203.077 203.422 203.519 203.91 204.143 204.354 204.453 205.466 205.934 206.9245 207.033 207.362 207.79 207.8205 208.348 208.754 209.231 210.001 210.4275 210.989
3 G#/Ab 304.615 305.132 305.279 305.865 306.214 306.53 306.68 308.199 308.901 310.387 310.5465 311.043 311.6855 311.731 312.5225 313.131 313.846 315.001 315.641 316.4835
4 A 406.154 406.843 407.0385 407.82 408.285 408.707 408.907 410.932 411.8685 413.849 414.066 414.724 415.581 415.641 416.697 417.508 418.4615 420.001 420.855 421.978
5 B 507.692 508.554 508.798 509.775 510.3565 510.884 511.134 513.6655 514.836 517.311 517.582 518.405 519.476 519.551 520.871 521.885 523.077 525.002 526.069 527.4725
6 B#/Hb 609.231 610.265 610.558 611.73 612.428 613.061 613.36 616.399 617.803 620.774 621.099 622.086 623.371 623.4615 625.045 626.262 627.692 630.002 631.283 632.967
7 H 710.769 711.976 712.317 713.685 714.499 715.2375 715.587 719.132 720.769 724.236 724.615 725.767 727.266 727.372 729.219 730.639 732.318 735.002 736.496 738.4615
8 C 812.308 813.686 814.077 815.64 816.57 817.414 817.814 821.865 823.737 827.698 828.132 829.448 831.161 831.282 833.393 835.016 836.923 840.003 841.71 843.856
9 C#/Db 913.846 915.397 915.837 917.595 918.462 919.591 920.041 924.598 926.704 931.1605 931.648 933.129 935.056 935.192 937.567 939.393 941.5385 945.003 946.924 949.4505
10 D 1015.385 1017.108 1017.596 1019.55 1020.712 1021.768 1022.267 1027.331 1029.671 1034.623 1035.165 1036.81 1038.952 1039.103 1041.742 1043.77 1046.154 1050.003 1052.138 1054.945
11 D#/Eb 1116.923 1118.819 1119.356 1121.505 1122.784 1123.945 1124.494 1130.064 1132.638 1138.085 1138.681 1140.491 1142.847 1143.013 1145.916 1148.147 1150.769 1155.004 1157.351 1160.44
12 E 1218.4615 1220.529 1221.1155 1223.46 1224.856 1226.1215 1226.721 1232.797 1235.6055 1241.547 1242.198 1244.172 1246.742 1246.923 1250.09 1252.524 1255.385 1260.004 1262.565 1265.9348
13 F 1320 1322.24 1322.875 1325.415 1326.927 1328.298 1238.947 1335.53 1338.573 1345.0095 1345.714 1347.853 1350.637 1350.833 1354.264 1356.901 1360 1365.004 1367.779 1371.429
Degrees Octatonic Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
Minimum ed(20/9) Golden 26ed5 Median 9ed(5/3) ed(9/4) 52ed(180/7) Mean 4ed(9/7) 26ed(36/7) ed(16/7) Maximum
1 F#/Gb 105.4945 106.339 107.11 107.166 107.692 98.262 107.993 108.104 108.132 108.771 109.042 110.09 110.769
2 G 210.989 212.6775 214.22 214.332 214.385 196.524 215.986 216.208 216.264 217.542 218.083 220.181 221.5385
3 G#/Ab 304.615 319.016 321.33 321.498 322.077 294.786 323.979 324.311 324.396 326.313 327.125 330.271 332.308
4 A 421.978 425.355 428.44 428.664 429.769 393.048 431.972 432.415 432.5275 435.084 436.167 440.361 443.076
5 B 527.4725 531.694 535.55 535.83 583.4615 491.31 539.965 540.519 540.659 543.855 545.2085 550.452 553.846
6 B#/Hb 609.231 638.0325 642.6595 642.9945 646.154 589.5725 647.9585 948.943 648.791 652.626 654.25 660.542 664.615
7 H 710.769 744.371 749.769 750.161 753.846 687.835 755.9515 756.727 756.923 761.397 863.292 770.632 775.385
8 C 812.308 850.71 856.879 857.327 861.5385 786.097 863.945 864.83 865.055 870.168 872.334 880.7225 886.154
9 C#/Db 913.846 957.049 963.989 964.493 969.231 884.359 971.938 972.934 973.187 978.939 981.375 990.813 996.923
10 D 1015.385 1063.3875 1071.099 1071.659 1076.923 982.621 1079.931 1081.038 1081.319 1087.71 1090.416 1100.903 1107.692
11 D#/Eb 1116.923 1169.726 1178.209 1178.825 1184.615 1080.882 1187.924 1189.142 1189.4505 1196.481 1199.459 1210.9935 1218.4615
12 E 1218.4615 1276.065 1285.319 1285.991 1292.308 1179.145 1295.917 1297.246 1297.582 1305.252 1308.5 1321.084 1329.231
13 F 1371.429 1382.403 1392.429 1393.157 1400 1277.407 1403.91 1405.3495 1405.714 1414.023 1417.524 1431.174 1440
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