User:Moremajorthanmajor/Greater sephiroid: Difference between revisions

 
(2 intermediate revisions by the same user not shown)
Line 35: Line 35:
==Scale tree==
==Scale tree==
{| class="wikitable center-all"
{| class="wikitable center-all"
! colspan="7" |Generator
!Generator
!Cents
!Cents
!Normalized Cents
!Normalized Cents
Line 43: Line 43:
!Comments
!Comments
|-
|-
|3\10|| || || || ||
|3\10||360.000
| ||360.000
|360.000||1||1||1.000||
|360.000||1||1||1.000||
|-
|-
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|19\63
|19\63
|361.905
|361.905
Line 61: Line 54:
|
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|-
|-
| || || || || ||16\53
| 16\53||362.264
| ||362.264
|408.511||6||5||1.200||Submajor
|408.511||6||5||1.200||Submajor
|-
|-
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|29\96
|29\96
|362.500
|362.500
Line 79: Line 65:
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|-
|-
| || || || ||13\43||
| 13\43||362.791
| ||362.791
|410.526||5||4||1.250||
|410.526||5||4||1.250||
|-
|-
| || || || || ||23\76
| 23\76||363.158
| ||363.158
|411.940||9||7||1.286||
|411.940||9||7||1.286||
|-
|-
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|33\109
|33\109
|363.303
|363.303
Line 101: Line 79:
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|-
|-
| || || ||10\33|| ||
| 10\33||363.636
| ||363.636
|413.793||4||3||1.333||
|413.793||4||3||1.333||
|-
|-
| || || || || ||27\89
|37\122
| ||364.045
|363.935
|414.953
|15
|11
|1.455
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|-
| 27\89||364.045
|415.385||11||8||1.375||
|415.385||11||8||1.375||
|-
|-
| || || || ||17\56||
| 17\56||364.286
| ||364.286
|416.327||7||5||1.400||
|416.327||7||5||1.400||
|-
|-
| || || || || ||24\79
| 24\79||364.557
| ||364.557
|417.391||10||7||1.428||
|417.391||10||7||1.428||
|-
|-
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|31\102
|31\102
|364.706
|364.706
Line 131: Line 107:
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|-
|-
| || ||7\23|| || ||
| 7\23||365.217
| ||365.217
|420.000||3||2||1.500||L/s = 3/2
|420.000||3||2||1.500||L/s = 3/2
|-
|-
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|32\105
|32\105
|365.714
|365.714
Line 149: Line 118:
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|-
|-
| || || || || ||25\82
| 25\82||365.854
| ||365.854
|422.535||11||7||1.571||
|422.535||11||7||1.571||
|-
|-
| || || || ||18\59||
| 18\59||366.102
| ||366.102
|423.529||8||5||1.600||
|423.529||8||5||1.600||
|-
|-
| || || || || ||29\95
| 29\95||366.316
| ||366.316
|424.390||13||8||1.625||Unnamed golden tuning
|424.390||13||8||1.625||Unnamed golden tuning
|-
|-
|  ||  ||  ||11\36||  ||
| 11\36 ||366.667
||366.667
|425.806||5||3||1.667||
|425.806||5||3||1.667||
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|-
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|37\121
|37\121
|366.942
|366.942
Line 179: Line 138:
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|-
|  ||  ||  ||  ||  ||26\85
| 26\85 ||367.059
||367.059
|427.397||12||7||1.714||
|427.397||12||7||1.714||
|-
|-
|  ||  ||  ||  ||15\49||
| 15\49 ||367.347
||367.347
|428.571||7||4||1.750||
|428.571||7||4||1.750||
|-
|-
|  ||  ||  ||  ||  ||19\62
| 19\62 ||367.742
||367.742
|430.189||9||5||1.800||
|430.189||9||5||1.800||
|-
|-
|23\75
|368.000
|431.250
|11
|6
|1.833
|
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|-
|27\88
|368.182
|432.000
|13
|7
|1.857
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|-
|31\101
|368.317
|432.558
|15
|8
|1.875
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|-
|35\114
|368.421
|432.990
|17
|9
|1.889
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|-
|39\127
|368.504
|433.333
|19
|10
|1.900
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|-
|43\140
|368.571
|433.614
|21
|11
|1.909
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|-
|47\153
|368.627
|433.846
|23
|12
|1.917
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|-
|51\166
|368.675
|434.042
|25
|13
|1.923
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|-
|55\179
|368.715
|434.210
|27
|14
|1.929
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|59\192
|368.750
|434.356
|29
|15
|1.933
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|23\75
|-
|368.000
|63\205
|431.250
|368.780
|11
|434.483
|6
|31
|1.833
|16
|1.9375
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|-
|67\218
|368.807
|434.595
|33
|17
|1.941
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|-
|71\231
|368.831
|434.694
|35
|18
|1.944
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|75\244
|368.852
|434.782
|37
|19
|1.947
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|79\257
|368.872
|434.862
|39
|20
|1.950
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|83\270
|368.889
|434.834
|41
|21
|1.953
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|87\283
|368.905
|435.000
|43
|22
|1.955
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|-
|-
|  ||4\13||  ||  ||  ||
| 4\13 ||369.231
||369.231
|436.364||2||1||2.000||Basic sephiroid<br>(Generators smaller than this are proper)
|436.364||2||1||2.000||Basic sephiroid<br>(Generators smaller than this are proper)
|-
|-
|77\250
|369.600
|437.915
|39
|19
|2.053
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|-
|73\237
|369.620
|438.000
|37
|18
|2.056
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|-
|69\224
|369.643
|438.085
|35
|17
|2.059
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|-
|65\211
|369.668
|438.202
|33
|16
|2.0625
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|-
|61\198
|369.697
|438.323
|31
|15
|2.067
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|-
|57\185
|369.730
|438.462
|29
|14
|2.071
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|53\172
|369.767
|438.621
|27
|13
|2.077
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|49\159
|369.811
|438.806
|25
|12
|2.083
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|45\146
|369.863
|439.024
|23
|11
|2.091
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|-
|41\133
|369.925
|439.286
|21
|10
|2.100
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|-
|37\120
|370.000
|439.604
|19
|9
|2.111
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|-
|33\107
|370.093
|440.000
|17
|8
|2.125
|
|-
|29\94
|370.213
|440.506
|15
|7
|2.143
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|-
|25\81
|370.370
|441.176
|13
|6
|2.167
|
|-
|21\68
|21\68
|370.588
|370.588
Line 223: Line 406:
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|-
|-
|  ||  ||  ||  ||  ||17\55
| 17\55 ||370.909
||370.909
|443.478||9||4||2.250||
|443.478||9||4||2.250||
|-
|-
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|30\97
|30\97
|371.134
|371.134
Line 241: Line 417:
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|-
|-
|  ||  ||  ||  ||13\42||
| 13\42 ||371.429
||371.429
|445.714||7||3||2.333||
|445.714||7||3||2.333||
|-
|-
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|35\113
|35\113
|371.681
|371.681
Line 259: Line 428:
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|-
|-
|  ||  ||  ||  ||  ||22\71
| 22\71 ||371.831
||371.831
|447.458||12||5||2.400||
|447.458||12||5||2.400||
|-
|-
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|31\100
|31\100
|372.000
|372.000
Line 277: Line 439:
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|-
|-
| ||  ||  ||9\29||  ||
|40\129
|  ||372.414
|372.093
|450.000||5||2||2.500||Sephiroth
|448.598
|22
|9
|2.444
|
|-
|-
|49\158
|372.152
|448.855
|27
|11
|2.455
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|-
|58\187
|372.193
|449.032
|32
|13
|2.462
|
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|-
|
| 9\29 ||372.414
|
|450.000||5||2||2.500||Sephiroth
|
|-
|32\103
|32\103
|372.816
|372.816
Line 295: Line 474:
|
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|-
|-
|  ||  ||  ||  ||  ||23\74
| 23\74 ||372.973
||372.973
|452.459||13||5||2.600||
|452.459||13||5||2.600||
|-
|-
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|37\119
|37\119
|373.109
|373.109
Line 313: Line 485:
|Golden sephiroth
|Golden sephiroth
|-
|-
|  ||  ||  ||  ||14\45||
| 14\45 ||373.333
||373.333
|454.054||8||3||2.667||
|454.054||8||3||2.667||
|-
|-
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|33\106
|33\106
|373.585
|373.585
Line 331: Line 496:
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|-
|  ||  ||  ||  ||  ||19\61
| 19\61 ||373.770
||373.770
|456.000||11||4||2.750||
|456.000||11||4||2.750||
|-
|-
|24\77
|374.000
|457.143
|14
|5
|2.800
|
|-
|29\93
|374.194
|457.895
|17
|6
|2.833
|
|-
|34\109
|374.312
|458.427
|20
|7
|2.857
|
|-
|39\125
|374.400
|458.824
|23
|8
|2.875
|
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|-
|44\141
|374.468
|459.130
|26
|9
|2.889
|
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|-
|49\157
|374.522
|459.375
|29
|10
|2.900
|
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|-
|54\173
|374.566
|459.574
|32
|11
|2.909
|
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|-
|59\189
|374.603
|459.740
|35
|12
|2.917
|
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|-
|64\205
|374.634
|459.880
|38
|13
|2.923
|
|
|24\77
|-
|374.000
|69\221
|457.143
|374.660
|460.000
|41
|14
|14
|5
|2.929
|2.800
|
|
|-
|-
|  ||  ||5\16||  ||  ||
| 5\16 ||375.000
||375.000
|461.538||3||1||3.000||L/s = 3/1
|461.538||3||1||3.000||L/s = 3/1
|-
|-
|76\243
|375.309
|462.944
|46
|15
|3.067
|
|-
|71\227
|375.330
|463.043
|43
|14
|3.071
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|-
|66\211
|375.355
|463.158
|40
|13
|3.077
|
|-
|61\195
|375.385
|463.291
|37
|12
|3.083
|
|-
|56\179
|375.419
|463.448
|34
|11
|3.091
|
|-
|51\163
|375.460
|463.636
|31
|10
|3.100
|
|
|-
|46\147
|375.510
|463.866
|28
|9
|3.111
|
|
|-
|41\131
|375.573
|464.151
|25
|8
|3.125
|
|
|-
|36\115
|375.652
|464.516
|22
|7
|3.143
|
|
|-
|31\99
|375.756
|465.000
|19
|6
|3.167
|
|
|-
|26\83
|375.904
|465.672
|16
|5
|3.200
|
|
|-
|21\67
|21\67
|376.119
|376.119
Line 367: Line 678:
|
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|-
|-
| || || || ||  ||16\51
|37\118
||376.471
|376.271
|457.368
|23
|7
|3.286
|
|-
| 16\51 ||376.471
|468.293||10||3||3.333||
|468.293||10||3||3.333||
|-
|-
|
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|
|27\86
|27\86
|376.744
|376.744
Line 385: Line 697:
|
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|-
|-
| || || || ||11\35||
|38\121
||377.143
|376.860
|470.103
|24
|7
|3.429
|
|-
| 11\35 ||377.143
|471.429||7||2||3.500||
|471.429||7||2||3.500||
|-
|-
|39\124
|377.419
|472.727
|25
|7
|3,571
|
|
|
|-
|
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|
|
|28\89
|28\89
|377.528
|377.528
Line 403: Line 724:
|
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|-
|-
|  ||  ||  ||  ||  ||17\54
| 17\54 ||377.778
||377.778
|474.419||11||3||3.667||Muggles
|474.419||11||3||3.667||Muggles
|-
|-
|23\73
|378.082
|475.862
|15
|4
|3.750
|
|
|-
|29\92
|378.261
|476.712
|19
|5
|3.800
|
|
|-
|35\111
|378.378
|477.273
|23
|6
|3.833
|
|
|-
|41\130
|378.462
|477.670
|27
|7
|3.857
|
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|-
|47\149
|378.523
|477.966
|31
|8
|3.875
|
|
|-
|53\168
|378,571
|478.195
|35
|9
|3.889
|
|-
|59\187
|378.607
|478.378
|39
|10
|3.900
|
|
|23\73
|-
|378.082
|65\206
|475.862
|378.641
|15
|478.528
|4
|43
|3.750
|11
|3.909
|
|-
|71\225
|378.667
|478.652
|47
|12
|3.917
|
|
|-
|-
| ||  ||  ||6\19||  ||
|77\244
|  ||378.947
|378.689
|480.000||4||1||4.000||Magic/horcrux
|478.756
|51
|13
|3.923
|
|-
|-
|83\263
|378.707
|478.846
|55
|14
|3.929
|
|
|-
|89\282
|378.723
|478.924
|59
|15
|3.933
|
|
|-
|95\301
|378.738
|478.992
|63
|16
|3.9375
|
|
|-
|101\320
|378.750
|479.051
|67
|17
|3.941
|
|
|-
| 6\19 ||378.947
|480.000||4||1||4.000||Magic/horcrux
|-
|25\79
|379.747
|483.871
|17
|4
|4.250
|
|
|-
|44\139
|379.856
|484.404
|30
|7
|4.286
|
|
|-
|19\60
|19\60
|380.000
|380.000
Line 439: Line 866:
|
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|-
|-
| || || || ||  ||13\41
|32\101
||380.488
|380.198
|486.076
|22
|5
|4.400
|
|-
| 13\41 ||380.488
|487.500||9||2||4.500||Magic/witchcraft
|487.500||9||2||4.500||Magic/witchcraft
|-
|-
|33\104
|380.769
|488.889
|23
|5
|4.600
|
|
|
|-
|
|
|
|
|20\63
|20\63
|380.952
|380.952
Line 457: Line 893:
|
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|-
|-
| || || || ||7\22||
|27\85
| ||381.818
|381.176
|490.908
|19
|4
|4.750
|
|-
|34\107
|381.308
|491.566
|24
|5
|4.800
|
|-
|41\129
|381.395
|492.000
|29
|6
|4.833
|
|-
|48\151
|381.456
|492.308
|34
|7
|4.857
|
|-
|55\173
|381.503
|492.537
|39
|8
|4.875
|
|-
|62\195
|381.538
|492.715
|44
|9
|4.889
|
|-
|69\217
|381.567
|492.857
|49
|10
|4.900
|
|-
|76\239
|381.590
|492.973
|54
|11
|4.909
|
|-
|83\261
|381.609
|493.069
|59
|12
|4.917
|
|-
| 7\22 ||381.818
|494.118||5||1||5.000||Magic/telepathy
|494.118||5||1||5.000||Magic/telepathy
|-
|-
|50\157
|382.166
|495.868
|36
|7
|5.143
|
|
|-
|43\135
|382.222
|496.153
|31
|6
|5.167
|
|
|-
|36\113
|382.301
|496.551
|26
|5
|5.200
|
|
|-
|29\91
|382.418
|497.143
|21
|4
|5.250
|
|
|-
|22\69
|382.609
|498.113
|16
|3
|5.333
|
|
|-
|37\116
|382.759
|498.876
|27
|5
|5.400
|
|
|-
|52\163
|382.822
|499.200
|38
|7
|5.429
|
|-
|15\47
|15\47
|382.979
|382.979
Line 475: Line 1,032:
|
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|-
|-
| || || || ||  ||8\25
|23\72
||384.000
|383.333
|501.818
|17
|3
|5.667
|
|-
| 8\25 ||384.000
|505.263||6||1||6.000||Würschmidt↓
|505.263||6||1||6.000||Würschmidt↓
|-
|-
|49\153
|384.314
|506.897
|37
|6
|6.167
|
|
|-
|41\128
|384.375
|507.216
|31
|5
|6.200
|
|
|-
|33\103
|384.466
|507.692
|25
|4
|6.250
|
|
|-
|25\78
|384.615
|508.475
|19
|3
|6.333
|
|
|-
|42\131
|384.733
|509.091
|32
|5
|6.400
|
|
|-
|17\53
|384.906
|510.000
|13
|2
|6.500
|
|
|-
|9\28
|9\28
|385.714
|385.714
Line 493: Line 1,099:
|
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|-
|-
|1\3|| || || || ||
|1\3||400.000
| ||400.000
|600.000||1||0||→ inf||
|600.000||1||0||→ inf||
|}
|}
Line 502: Line 1,107:
=== Parents of [[User:Moremajorthanmajor/Greater Luachoid|Greater Luachoid]] ===
=== Parents of [[User:Moremajorthanmajor/Greater Luachoid|Greater Luachoid]] ===
[[3L 7s (33/16-equivalent)]] - harmonic subminor ninth tuning
[[3L 7s (33/16-equivalent)]] - harmonic subminor ninth tuning
[[3L 7s (44/21-equivalent)]] - Neogothic minor ninth tuning


[[3L 7s (21/10-equivalent)]] - septimal chromatic minor ninth tuning
[[3L 7s (21/10-equivalent)]] - septimal chromatic minor ninth tuning