User:Moremajorthanmajor/13edIX: Difference between revisions

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Line 162: Line 162:
|1440
|1440
|}
|}
Golden Tunings
Most harmonic tunings
{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! rowspan="2" |Octatonic
! rowspan="2" |Octatonic
! colspan="9" |Phrygian Mode (natural minor)
!Phrygian Mode (natural minor)
! colspan="7" |Phrygian-Aeolian Mode (intermediate minor)
!Phrygian-Aeolian Mode (intermediate minor)
! colspan="8" |Aeolian Mode (melodic/harmonic minor)
!Aeolian Mode (melodic/harmonic minor)
|-
|-
!15/7±13¢
!11/5±13¢
!9/4±13¢
|-
| |1
| |F#/Gb
|100.496-102.496
|104-106
|106.993-108.993
|-
| |2
| |G
|200.991-204.912
|208.001-212.001
|213.986-217.986
|-
| |3
| |G#/Ab
|301.487-307.487
|312.001-318.001
|320.979-326.979
|-
| |4
| |A
|401.982-409.982
|416.001-424.001
|427.972-435.972
|-
| |5
| |B
|502.478-512.478
|520.002-530.002
|534.965-544.965
|-
| |6
| |B#/Hb
|602.974-614.974
|624.002-636.002
|641.9585-653.9585
|-
| |7
| |H
|703.469-717.469
|728.002-742.0022
|748.9515-762.9515
|-
| |8
| |C
|803.965-819.965
|832.003-848.002
|855.945-871.945
|-
| |9
| |C#/Db
|904.46-922.46
|936.003-924.003
|962.938-980.938
|-
| |10
| |D
|1004.956-1024.956
|1040.003-1060.003
|1069.931-1089.931
|-
| |11
| |D#/Eb
|1105.452-1127.452
|1144.004-1166.004
|1177-924-1199.924
|-
| |12
| |E
|1205.947-1299.947
|1248.004-1272.004
|1283.917-1307.917
|-
| |13
| |F
|1306.443-1332.443
|1352.004-1378.004
|1390.91-1416.91
|}
Golden Tunings
Phrygian Mode (natural minor)
{| class="wikitable"
|-
!Degrees
!Octatonic
!Min-Med-13c
!Min-Med-13c
!Min-Max-13c
!Min-Max-13c
Line 177: Line 266:
!Med-Max-13c
!Med-Max-13c
!Min-Med+13c
!Min-Med+13c
!Min-Max+13c
!Med-Max
!Med-Max+13c
!Min-Med/Min-Max-13c
!Med-Max-13c
!Min-Med/Min-Max
!Med-Max
!Min-Med/Min-Max+13c
!Med-Max+13c
!Min-Med-13c (Aeolian)
!Min-Max-13c
!Min-Med
!Min-Max
!Min-Med+13c
!Med-Max-13c
!Min-Max+13c
!Min-Max+13c
!Med-Max
!Med-Max
Line 207: Line 281:
|99.359
|99.359
|100.359
|100.359
|101.733
|102.639
|102.733
|103.639
|103.733
|104.639
|105.256
|106.11
|106.256
|107.11
|107.256
|107.738
|108.11
|108.738
|109.738
|-
|-
| |2
| |2
Line 234: Line 293:
|198.719
|198.719
|200.719
|200.719
|203.466
|205.279
|205.466
|207.279
|207.466
|205.279
|210.511
|212.22
|212.511
|214.22
|214.511
|215.477
|216.22
|217.477
|219.477
|-
|-
| |3
| |3
Line 261: Line 305:
|298.078
|298.078
|301.078
|301.078
|305.199
|311.9185
|308.199
|310.9185
|311.199
|313.9185
|315.767
|318.33
|318.767
|321.33
|321.767
|323.215
|324.33
|326.215
|329.215
|-
|-
| |4
| |4
Line 288: Line 317:
|397.4375
|397.4375
|401.4375
|401.4375
|406.932
|410.558
|410.932
|414.558
|414.932
|418.558
|421.022
|424.44
|425.022
|428.44
|429.022
|430.953
|432.44
|434.953
|438.953
|-
|-
| |5
| |5
Line 315: Line 329:
|496.797
|496.797
|501.797
|501.797
|508.6655
|513.1975
|513.6655
|518.1975
|518.6655
|523.1975
|526.278
|530.55
|531.278
|535.55
|536.278
|538.6915
|540.55
|543.6915
|548.6915
|-
|-
| |6
| |6
Line 342: Line 341:
|596.156
|596.156
|602.156
|602.156
|610.399
|615.837
|616.399
|621.837
|622.399
|627.837
|631.534
|636.6595
|637.534
|642.6595
|643.534
|646.43
|648.6595
|652.43
|658.43
|-
|-
| |7
| |7
Line 369: Line 353:
|695.516
|695.516
|702.516
|702.516
|712.132
|718.4765
|719.132
|725.4765
|726.132
|732.4765
|736.789
|742.769
|743.789
|749.769
|750.789
|754.168
|756.769
|761.168
|768.168
|-
|-
| |8
| |8
Line 396: Line 365:
|794.875
|794.875
|802.875
|802.875
|813.865
|821.116
|821.865
|829.116
|829.865
|837.116
|842.045
|848.879
|850.045
|856.879
|858.045
|861.906
|864.879
|869.906
|877.906
|-
|-
| |9
| |9
Line 423: Line 377:
|894.234
|894.234
|903.234
|903.234
|915.598
|923.755
|924.598
|932.755
|933.598
|941.755
|947.3
|954.989
|956.3
|963.989
|965.3
|969.645
|972.989
|978.645
|986.645
|-
|-
| |10
| |10
Line 450: Line 389:
|993.594
|993.594
|1003.594
|1003.594
|1017.331
|1026.395
|1027.331
|1036.395
|1037.331
|1046.395
|1052.556
|1061.099
|1062.556
|1071.099
|1072.556
|1077.383
|1081.099
|1087.383
|1077.383
|-
|-
| |11
| |11
Line 477: Line 401:
|1092.953
|1092.953
|1103.953
|1103.953
|1119.064
|1129.034
|1130.064
|1140.034
|1141.064
|1151.034
|1157.8115
|1167.209
|1168.8115
|1178.209
|1179.8115
|1185.121
|1189.209
|1196.121
|1207.121
|-
|-
| |12
| |12
Line 504: Line 413:
|1192.312
|1192.312
|1204.312
|1204.312
|1220.797
|1231.674
|1232.797
|1243.674
|1244.797
|1255.674
|1264.067
|1273.319
|1275.067
|1285.319
|1287.067
|1392.86
|1297.319
|1304.86
|1317.86
|-
|-
| |13
| |13
Line 531: Line 425:
|1291.672
|1291.672
|1304.672
|1304.672
|}
Phrygian-Aeolian Mode (intermediate minor)
{| class="wikitable"
|-
!Degrees
!Octatonic
!Min-Med/Min-Max-13c
!Med-Max-13c
!Min-Med/Min-Max
!Med-Max
!Min-Med/Min-Max+13c
!Med-Max+13c
!Min-Med-13c (Aeolian)
|-
| |1
| |F#/Gb
|101.733
|102.639
|102.733
|103.639
|103.733
|104.639
|105.256
|-
| |2
| |G
|203.466
|205.279
|205.466
|207.279
|207.466
|205.279
|210.511
|-
| |3
| |G#/Ab
|305.199
|311.9185
|308.199
|310.9185
|311.199
|313.9185
|315.767
|-
| |4
| |A
|406.932
|410.558
|410.932
|414.558
|414.932
|418.558
|421.022
|-
| |5
| |B
|508.6655
|513.1975
|513.6655
|518.1975
|518.6655
|523.1975
|526.278
|-
| |6
| |B#/Hb
|610.399
|615.837
|616.399
|621.837
|622.399
|627.837
|631.534
|-
| |7
| |H
|712.132
|718.4765
|719.132
|725.4765
|726.132
|732.4765
|736.789
|-
| |8
| |C
|813.865
|821.116
|821.865
|829.116
|829.865
|837.116
|842.045
|-
| |9
| |C#/Db
|915.598
|923.755
|924.598
|932.755
|933.598
|941.755
|947.3
|-
| |10
| |D
|1017.331
|1026.395
|1027.331
|1036.395
|1037.331
|1046.395
|1052.556
|-
| |11
| |D#/Eb
|1119.064
|1129.034
|1130.064
|1140.034
|1141.064
|1151.034
|1157.8115
|-
| |12
| |E
|1220.797
|1231.674
|1232.797
|1243.674
|1244.797
|1255.674
|1264.067
|-
| |13
| |F
|1322.53
|1322.53
|1334.313
|1334.313
Line 538: Line 568:
|1360.313
|1360.313
|1368.322
|1368.322
|}
Aeolian Mode (melodic/harmonic minor)
{| class="wikitable"
|-
!Degrees
!Octatonic
!Min-Max-13c
!Min-Med
!Min-Max
!Min-Med+13c
!Med-Max-13c
!Min-Max+13c
!Med-Max
!Med-Max+13c
|-
| |1
| |F#/Gb
|106.11
|106.256
|107.11
|107.256
|107.738
|108.11
|108.738
|109.738
|-
| |2
| |G
|212.22
|212.511
|214.22
|214.511
|215.477
|216.22
|217.477
|219.477
|-
| |3
| |G#/Ab
|318.33
|318.767
|321.33
|321.767
|323.215
|324.33
|326.215
|329.215
|-
| |4
| |A
|424.44
|425.022
|428.44
|429.022
|430.953
|432.44
|434.953
|438.953
|-
| |5
| |B
|530.55
|531.278
|535.55
|536.278
|538.6915
|540.55
|543.6915
|548.6915
|-
| |6
| |B#/Hb
|636.6595
|637.534
|642.6595
|643.534
|646.43
|648.6595
|652.43
|658.43
|-
| |7
| |H
|742.769
|743.789
|749.769
|750.789
|754.168
|756.769
|761.168
|768.168
|-
| |8
| |C
|848.879
|850.045
|856.879
|858.045
|861.906
|864.879
|869.906
|877.906
|-
| |9
| |C#/Db
|954.989
|956.3
|963.989
|965.3
|969.645
|972.989
|978.645
|986.645
|-
| |10
| |D
|1061.099
|1062.556
|1071.099
|1072.556
|1077.383
|1081.099
|1087.383
|1077.383
|-
| |11
| |D#/Eb
|1167.209
|1168.8115
|1178.209
|1179.8115
|1185.121
|1189.209
|1196.121
|1207.121
|-
| |12
| |E
|1273.319
|1275.067
|1285.319
|1287.067
|1392.86
|1297.319
|1304.86
|1317.86
|-
| |13
| |F
|1379.429
|1379.429
|1381.322
|1381.322