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{{URWTC}}
{{URWTC}}
'''Arcturus''' is the [[rank]]-2 [[regular temperament]] of the 3.5.7 [[subgroup]] that [[tempers out]] the Arcturus comma, [[15625/15309]]. Having an ~[[5/3]] as a generator, this temperament is the application of the [[Pythagorean]] principle of tuning a stack of the next higher prime number and then factoring out powers of the equivalence to [[tritave]] composition. However, a heptatonic [[MOS]] (2L 5s{{angbr|3/1}}) will not suffice to produce an understandable rendition of it because a very close ~5/3 generates a L:s ratio between 4:1 and 5:1, which is beginning to get too lopsided to still be a complete presentation of a temperament.
'''Arcturus''' is the [[non-octave]] [[rank]]-2 [[regular temperament]] of the 3.5.7 [[subgroup]] that [[tempers out]] the Arcturus comma, [[15625/15309]]. Having an ~[[5/3]] as a generator, this temperament is the application of the [[Pythagorean]] principle of tuning a stack of the next higher prime number and then factoring out powers of the equivalence to [[tritave]] composition. However, a heptatonic [[MOS]] (2L 5s{{angbr|3/1}}) will not suffice to produce an understandable rendition of it because a very close ~5/3 generates a L:s ratio between 4:1 and 5:1, which is beginning to get too lopsided to still be a complete presentation of a temperament.


{{tdlink|No-twos subgroup temperaments#Arcturus}}
{{tdlink|No-twos subgroup temperaments#Arcturus}}


== Etymology ==
== Etymology ==
This temperament is named after the star {{w|Arcturus}}, following a series of [[nonoctave]] temperaments that are named after stars.  
This temperament is named after the star {{w|Arcturus}}, following a series of non-octave temperaments that are named after stars.  
{{todo|add etymology|inline=1|text=Add name (person who coined the term) and year (when it was coined).}}
{{todo|add etymology|inline=1|text=Add name (person who coined the term) and year (when it was coined).}}


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|-
|-
! colspan="7" | Generator
! colspan="7" | Generator
! | cents
! Cents<br />Hekts
hekts
! L
! | L
! s
! | s
! 2g
! | 2g
! Notes
! | Notes
|- style="text-align: center;"
|-
| 6\13
| style="text-align:center;" | 6\13
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
| 877.825<br />600
| style="text-align:center;" | 877.825
| 146.304<br />100
600
| 0
| style="text-align:center;" | 146.304
| 1755.651<br />1200
100
| L=1 s=0
| style="text-align:center;" | 0
| style="text-align:center;" | 1755.651
1200
| style="text-align:center;" | L=1 s=0
|-
|-
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 47: Line 43:
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" | 43\93
| style="text-align:center;" | 43\93
| style="text-align:center;" | 879.399
| style="text-align:center;" | 879.399<br />601.075
601.075
| style="text-align:center;" | 143.158<br />97.8495
| style="text-align:center;" | 143.158
| style="text-align:center;" | 20.451<br />13.9785
97.8495
| style="text-align:center;" | 1758.797<br />1202.151
| style="text-align:center;" | 20.451
13.9785
| style="text-align:center;" | 1758.797
1202.151
| style="text-align:center;" | L=7 s=1
| style="text-align:center;" | L=7 s=1
|-
|- style="text-align: center;"
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" | 37\80
| 37\80
| style="text-align:center;" |  
|  
| style="text-align:center;" | 879.654
| 879.654<br />601.25
601.25
| 142.647<br />97.5
| style="text-align:center;" | 142.647
| 23.774<br />16.25
97.5
| 1759.38<br />1202.5
| style="text-align:center;" | 23.774
| L=6 s=1
16.25
|- style="text-align: center;"
| style="text-align:center;" | 1759.38
|  
1202.5
|  
| style="text-align:center;" | L=6 s=1
|
|-
|
| style="text-align:center;" |  
|
| style="text-align:center;" |  
|
| style="text-align:center;" |  
| 68\147
| style="text-align:center;" |  
| 879.816<br />601.3605
| style="text-align:center;" |
| 142.323<br />97.279
| style="text-align:center;" |  
| 25.877<br />17.687
| style="text-align:center;" | 68\147
| 1759.632<br />1202.721
| style="text-align:center;" | 879.816
|
601.3605
|- style="text-align: center;"
| style="text-align:center;" | 142.323
|
97.279
|  
| style="text-align:center;" | 25.877
|  
17.687
|  
| style="text-align:center;" | 1759.632
| 31\67
1202.721
|  
| style="text-align:center;" |  
|  
|-
| 880.009<br />601.4925
| style="text-align:center;" |  
| 141.937<br />97.015
| style="text-align:center;" |  
| 28.387<br />19.403
| style="text-align:center;" |  
| 1760.081<br />1202.985
| style="text-align:center;" |  
| L=5 s=1
| style="text-align:center;" | 31\67
|- style="text-align: center;"
| style="text-align:center;" |  
|  
| style="text-align:center;" |
|  
| style="text-align:center;" | 880.009
|  
601.4925
|
| style="text-align:center;" | 141.937
|
97.015
|
| style="text-align:center;" | 28.387
| 87\188
19.403
| 880.16<br />601.596
| style="text-align:center;" | 1760.081
| 141.634<br />96.8085
1202.985
| 30.35<br />20.745
| style="text-align:center;" | L=5 s=1
| 1760.32<br />1203.191
|-
|
| style="text-align:center;" |  
|- style="text-align: center;"
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|
| style="text-align:center;" |
|
| style="text-align:center;" |
|
| style="text-align:center;" |  
|
| style="text-align:center;" | 87\188
| 56\121
| style="text-align:center;" | 880.16
|
601.596
| 880.243<br />601.653
| style="text-align:center;" | 141.634
| 141.468<br />96.694
96.8085
| 31.437<br />21.488
| style="text-align:center;" | 30.35
| 1760.487<br />1203.306
20.745
|
| style="text-align:center;" | 1760.32
|- style="text-align: center;"
1203.191
|  
| style="text-align:center;" |
|
|-
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
| 81\175
| style="text-align:center;" |
| 880.3335<br />601.714
| style="text-align:center;" | 56\121
| 141.288<br />96.571
| style="text-align:center;" |  
| 32.605<br />22.286
| style="text-align:center;" | 880.243
| 1760.667<br />1203.429
601.653
|  
| style="text-align:center;" | 141.468
|- style="text-align: center;"
96.694
|  
| style="text-align:center;" | 31.437
|  
21.488
|  
| style="text-align:center;" | 1760.487
| 25\54
1203.306
|  
| style="text-align:center;" |  
|  
|-
|  
| style="text-align:center;" |  
| 880.535<br />601.852
| style="text-align:center;" |  
| 140.886<br />96.296
| style="text-align:center;" |  
| 35.221<br />24.074
| style="text-align:center;" |  
| 1761.069<br />1203.704
| style="text-align:center;" |  
| L=4 s=1
| style="text-align:center;" |  
|- style="text-align: center;"
| style="text-align:center;" | 81\175
|  
| style="text-align:center;" | 880.3335
|
601.714
|
| style="text-align:center;" | 141.288
|
96.571
|
| style="text-align:center;" | 32.605
|
22.286
| 94\203
| style="text-align:center;" | 1760.667
| 880.708<br />601.97
1203.429
| 140.5385<br />96.059
| style="text-align:center;" |  
| 37.477<br />25.616
|-
| 1761.4165<br />1203.971
| style="text-align:center;" |  
|
| style="text-align:center;" |  
|- style="text-align: center;"
| style="text-align:center;" |  
|  
| style="text-align:center;" | 25\54
|
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|
| style="text-align:center;" | 880.535
| 69\149
601.852
|  
| style="text-align:center;" | 140.886
| 880.711<br />602.013
96.296
| 140.413<br />95.973
| style="text-align:center;" | 35.221
| 38.294<br />26.1745
24.074
| 1761.542<br />1204.027
| style="text-align:center;" | 1761.069
|  
1203.704
|- style="text-align: center;"
| style="text-align:center;" | L=4 s=1
|
|-
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
| 113\244
| style="text-align:center;" |  
| 880.823<br />602.049
| style="text-align:center;" | 94\203
| 140.308<br />95.902
| style="text-align:center;" | 880.708
| 38.9745<br />26.639
601.97
| 1761.647<br />1204.098
| style="text-align:center;" | 140.5385
|  
96.059
|- style="text-align: center;"
| style="text-align:center;" | 37.477
|  
25.616
|
| style="text-align:center;" | 1761.4165
|
1203.971
|  
| style="text-align:center;" |  
| 44\95
|-
|
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
| 880.9055<br />602.105
| style="text-align:center;" |  
| 140.144<br />95.7895
| style="text-align:center;" |  
| 40.041<br />27.368
| style="text-align:center;" |  
| 1761.811<br />1204.2105
| style="text-align:center;" | 69\149
| L=7 s=2
| style="text-align:center;" |  
|- style="text-align: center;"
| style="text-align:center;" | 880.711
|  
602.013
|  
| style="text-align:center;" | 140.413
|  
95.973
|  
| style="text-align:center;" | 38.294
|  
26.1745
|  
| style="text-align:center;" | 1761.542
| 107\231
1204.027
| 880.992<br />602.1645
| style="text-align:center;" |  
| 139.971<br />95.671
|-
| 41.168<br />28.1385
| style="text-align:center;" |  
| 1761.984<br />1204.329.
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|- style="text-align: center;"
| style="text-align:center;" |
|
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" | 113\244
|
| style="text-align:center;" | 880.823
|  
602.049
| 63\136
| style="text-align:center;" | 140.308
|  
95.902
| 881.053<br />602.206
| style="text-align:center;" | 38.9745
| 139.85<br />95.588
26.639
| 41.955<br />28.6765
| style="text-align:center;" | 1761.647
| 1762.105<br />1204.412
1204.098
|
| style="text-align:center;" |  
|- style="text-align: center;"
|-
|
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" | 44\95
|  
| style="text-align:center;" |  
| 82\177
| style="text-align:center;" |  
| 881.132<br />602.26
| style="text-align:center;" | 880.9055
| 139.692<br />95.48
602.105
| 42.982<br />22.034
| style="text-align:center;" | 140.144
| 1762.263<br />1204.52
95.7895
|  
| style="text-align:center;" | 40.041
|- style="text-align: center;"
27.368
|
| style="text-align:center;" | 1761.811
|  
1204.2105
| 19\41
| style="text-align:center;" | L=7 s=2
|  
|-
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
| 881.394<br />602.439
| style="text-align:center;" |  
| 139.167<br />95.122
| style="text-align:center;" |  
| 46.389<br />31.707
| style="text-align:center;" |  
| 1762.788<br />1204.878
| style="text-align:center;" | 107\231
| L=3 s=1
| style="text-align:center;" | 880.992
|- style="text-align: center;"
602.1645
|
| style="text-align:center;" | 139.971
|  
95.671
|
| style="text-align:center;" | 41.168
|
28.1385
|
| style="text-align:center;" | 1761.984
|
1204.329.
| 89\192
| style="text-align:center;" |  
| 881.635<br />602.604
|-
| 138.684<br />94.792
| style="text-align:center;" |  
| 49.53<br />33.854
| style="text-align:center;" |  
| 1763.271<br />1205.208
| style="text-align:center;" |  
|
| style="text-align:center;" |  
|- style="text-align: center;"
| style="text-align:center;" |  
|
| style="text-align:center;" | 63\136
|  
| style="text-align:center;" |  
|
| style="text-align:center;" | 881.053
|  
602.206
|  
| style="text-align:center;" | 139.85
| 70\151
95.588
|  
| style="text-align:center;" | 41.955
| 881.701<br />602.649
28.6765
| 138.553<br />94.702
| style="text-align:center;" | 1762.105
| 50.383<br />25.828
1204.412
| 1763.402<br />1205.298
| style="text-align:center;" |  
|  
|-
|- style="text-align: center;"
| style="text-align:center;" |  
|
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|
| style="text-align:center;" | 82\177
| 121\261
| style="text-align:center;" | 881.132
| 881.794<br />602.682
602.26
| 138.4565<br />89.655
| style="text-align:center;" | 139.692
| 51.01<br />34.866
95.48
| 1763.4985<br />1205.362
| style="text-align:center;" | 42.982
|  
22.034
|- style="text-align: center;"
| style="text-align:center;" | 1762.263
|  
1204.52
|  
| style="text-align:center;" |  
|  
|-
|  
| style="text-align:center;" |  
| 51\110
| style="text-align:center;" |  
|  
| style="text-align:center;" | 19\41
|  
| style="text-align:center;" |  
| 881.8155<br />602.727
| style="text-align:center;" |  
| 138.324<br />94.5455
| style="text-align:center;" |  
| 51.8715<br />35.4545
| style="text-align:center;" |
| 1763.631<br />1205.4545
| style="text-align:center;" | 881.394
|
602.439
|- style="text-align: center;"
| style="text-align:center;" | 139.167
|  
95.122
|
| style="text-align:center;" | 46.389
|
31.707
|
| style="text-align:center;" | 1762.788
|
1204.878
|
| style="text-align:center;" | L=3 s=1
| 134\289
|-
| 881.875<br />602.768
| style="text-align:center;" |
| 138.204<br />94.464
| style="text-align:center;" |
| 52.649<br />35.986
| style="text-align:center;" |
| 1763.751<br />1205.536
| style="text-align:center;" |
|
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" |
|  
| style="text-align:center;" | 89\192
|
| style="text-align:center;" | 881.635
|  
602.604
|  
| style="text-align:center;" | 138.684
|  
94.792
| 83\179
| style="text-align:center;" | 49.53
|  
33.854
| 881.912<br />602.793
| style="text-align:center;" | 1763.271
| 138.131<br />94.413
1205.208
| 53.172<br />36.313
| style="text-align:center;" |
| 1763.824<br />1205.586
|-
|  
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" | 70\151
|
| style="text-align:center;" |
|
| style="text-align:center;" | 881.701
| 115\248
602.649
| 881.955<br />602.823
| style="text-align:center;" | 138.553
| 138.045<br />94.355
94.702
| 53.684<br />36.6935
| style="text-align:center;" | 50.383
| 1763.91<br />1205.645
25.828
|  
| style="text-align:center;" | 1763.402
|- style="text-align: center;"
1205.298
|
| style="text-align:center;" |
|  
|-
|  
| style="text-align:center;" |
| 32\69
| style="text-align:center;" |
|
| style="text-align:center;" |
|
| style="text-align:center;" |
|  
| style="text-align:center;" |
| 882.066<br />602.899
| style="text-align:center;" |
| 137.823<br />94.203
| style="text-align:center;" | 121\261
| 55.129<br />37.681
| style="text-align:center;" | 881.794
| 1764.132<br />1205.797
602.682
| L=5 s=2
| style="text-align:center;" | 138.4565
|- style="text-align: center;"
89.655
|
| style="text-align:center;" | 51.01
|  
34.866
|
| style="text-align:center;" | 1763.4985
|  
1205.362
|
| style="text-align:center;" |
|
|-
| 109\235
| style="text-align:center;" |
| 882.183<br />602.979
| style="text-align:center;" |
| 137.588<br />94.043
| style="text-align:center;" |
| 56.654<br />38.723
| style="text-align:center;" |
| 1764.367<br />1205.957
| style="text-align:center;" | 51\110
|
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" |
|  
| style="text-align:center;" | 881.8155
|  
602.727
|  
| style="text-align:center;" | 138.324
|  
94.5455
|  
| style="text-align:center;" | 51.8715
| 77\166
35.4545
|  
| style="text-align:center;" | 1763.631
| 882.232<br />603.012
1205.4545
| 137.491<br />93.976
| style="text-align:center;" |
| 57.288<br />39.157
|-
| 1764.464<br />1206.024
| style="text-align:center;" |
|  
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" | 134\289
|
| style="text-align:center;" | 881.875
|
602.768
| 122\263
| style="text-align:center;" | 138.204
| 882.276<br />603.042
94.464
| 137.404<br />93.916
| style="text-align:center;" | 52.649
| 57.854<br />39.544
35.986
| 1764.551<br />1206.084
| style="text-align:center;" | 1763.751
|  
1205.536
|- style="text-align: center;"
| style="text-align:center;" |
|  
|-
|
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
| 45\97
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" | 83\179
| 882.35<br />603.093
| style="text-align:center;" |
| 137.2545<br />93.814
| style="text-align:center;" | 881.912
| 58.823<br />40.206
602.793
| 1764.7005<br />1203.185
| style="text-align:center;" | 138.131
| L=7 s=3
94.413
|- style="text-align: center;"
| style="text-align:center;" | 53.172
|
36.313
|  
| style="text-align:center;" | 1763.824
|  
1205.586
|  
| style="text-align:center;" |
|
|-
|
| style="text-align:center;" |
| 103\222
| style="text-align:center;" |
| 882.439<br />603.153
| style="text-align:center;" |
| 137.078<br />93.694
| style="text-align:center;" |
| 59.972<br />40.991
| style="text-align:center;" |
| 1764.877<br />1206.306
| style="text-align:center;" |
|
| style="text-align:center;" | 115\248
|- style="text-align: center;"
| style="text-align:center;" | 881.955
|  
602.823
|  
| style="text-align:center;" | 138.045
|  
94.355
|  
| style="text-align:center;" | 53.684
|  
36.6935
| 58\125
| style="text-align:center;" | 1763.91
|  
1205.645
| 882.507<br />603.2
| style="text-align:center;" |
| 136.941<br />93.6
|-
| 60.863<br />41.6
| style="text-align:center;" |
| 1765.014<br />1206.4
| style="text-align:center;" |
|  
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" | 32\69
|
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|
| style="text-align:center;" | 882.066
|  
602.899
|
| style="text-align:center;" | 137.823
| 71\153
94.203
| 882.607<br />603.268
| style="text-align:center;" | 55.129
| 136.742<br />93.464
37.681
| 62.155<br />42.484
| style="text-align:center;" | 1764.132
| 1765.213<br />1206.536
1205.797
|
| style="text-align:center;" | L=5 s=2
|- style="text-align: center;"
|-
|  
| style="text-align:center;" |
| 13\28
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|
| style="text-align:center;" | 109\235
| 883.0505<br />603.571
| style="text-align:center;" | 882.183
| 135.854<br />92.857
602.979
| 67.93<br />46.429
| style="text-align:center;" | 137.588
| 1766.101<br />1207.143
94.043
| L=2 s=1
| style="text-align:center;" | 56.654
|- style="text-align: center;"
38.723
|
| style="text-align:center;" | 1764.367
|  
1205.957
|  
| style="text-align:center;" |
|  
|-
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
| 72\155
| style="text-align:center;" |
| 883.489<br />603.871
| style="text-align:center;" |
| 134.9775<br />92.258
| style="text-align:center;" |
| 73.624<br />50.323
| style="text-align:center;" | 77\166
| 1766.9775<br />1207.742
| style="text-align:center;" |
|  
| style="text-align:center;" | 882.232
|- style="text-align: center;"
603.012
|  
| style="text-align:center;" | 137.491
|
93.976
|
| style="text-align:center;" | 57.288
|
39.157
|
| style="text-align:center;" | 1764.464
| 59\127
1206.024
|
| style="text-align:center;" |
| 883.585<br />603.937
|-
| 134.784<br />92.126
| style="text-align:center;" |
| 74.88<br />51.181
| style="text-align:center;" |
| 1767.171<br />1207.574
| style="text-align:center;" |
|
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" |
|  
| style="text-align:center;" |
|
| style="text-align:center;" | 122\263
|  
| style="text-align:center;" | 882.276
|  
603.042
|
| style="text-align:center;" | 137.404
|  
93.916
| 105\226
| style="text-align:center;" | 57.854
| 883.652<br />603.982
39.544
| 134.652<br />92.035
| style="text-align:center;" | 1764.551
| 75.742<br />51.77
1206.084
| 1767.303<br />1207.964
| style="text-align:center;" |
|  
|-
|- style="text-align: center;"
| style="text-align:center;" |
|
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" | 45\97
| 46\99
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" | 882.35
| 883.737<br />604.04
603.093
| 134.482<br />91.919
| style="text-align:center;" | 137.2545
| 76.847<br />52.525
93.814
| 1767.473<br />1208.081
| style="text-align:center;" | 58.823
| L=7 s=4
40.206
|- style="text-align: center;"
| style="text-align:center;" | 1764.7005
|  
1203.185
|  
| style="text-align:center;" | L=7 s=3
|  
|-
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|
| style="text-align:center;" |
| 125\269
| style="text-align:center;" |
| 883.808<br />604.089
| style="text-align:center;" |
| 134.339<br />91.822
| style="text-align:center;" |
| 77.775<br />53.16
| style="text-align:center;" | 103\222
| 1767.616<br />1208.178
| style="text-align:center;" | 882.439
|
603.153
|- style="text-align: center;"
| style="text-align:center;" | 137.078
|  
93.694
|
| style="text-align:center;" | 59.972
|  
40.991
|  
| style="text-align:center;" | 1764.877
|  
1206.306
| 79\170
| style="text-align:center;" |
|
|-
| 883.85<br />604.118
| style="text-align:center;" |
| 134.256<br />91.765
| style="text-align:center;" |
| 78.316<br />53.529
| style="text-align:center;" |
| 1767.699<br />1208.235
| style="text-align:center;" |
|  
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" | 58\125
|
| style="text-align:center;" |
|  
| style="text-align:center;" | 882.507
|  
603.2
|  
| style="text-align:center;" | 136.941
|  
93.6
|  
| style="text-align:center;" | 60.863
| 112\241
41.6
| 883.896<br />604.149
| style="text-align:center;" | 1765.014
| 134.163<br />91.701
1206.4
| 78.919<br />53.942
| style="text-align:center;" |
| 1767.792<br />1208.299
|-
|
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" |
|  
| style="text-align:center;" |
|
| style="text-align:center;" |
|  
| style="text-align:center;" |
| 33\71
| style="text-align:center;" |
|
| style="text-align:center;" | 71\153
|  
| style="text-align:center;" | 882.607
|  
603.268
| 884.007<br />604.225
| style="text-align:center;" | 136.742
| 133.94<br />91.549
93.464
| 80.364<br />54.93
| style="text-align:center;" | 62.155
| 1768.0145<br />1208.451
42.484
| L=5 s=3
| style="text-align:center;" | 1765.213
|- style="text-align: center;"
1206.536
|
| style="text-align:center;" |
|  
|-
|  
| style="text-align:center;" |
|  
| style="text-align:center;" | 13\28
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
| 119\256
| style="text-align:center;" |
| 884.112<br />604.297
| style="text-align:center;" |
| 133.731<br />91.406
| style="text-align:center;" |
| 81.725<br />55.859
| style="text-align:center;" | 883.0505
| 1768.224<br />1208.594
603.571
|  
| style="text-align:center;" | 135.854
|- style="text-align: center;"
92.857
|  
| style="text-align:center;" | 67.93
|  
46.429
|  
| style="text-align:center;" | 1766.101
|
1207.143
|
| style="text-align:center;" | L=2 s=1
| 86\185
|-
|
| style="text-align:center;" |
| 884.152<br />604.324
| style="text-align:center;" |
| 133.651<br />91.351
| style="text-align:center;" |
| 82.247<br />56.216
| style="text-align:center;" |
| 1768.304<br />1208.649
| style="text-align:center;" |
|
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" | 72\155
|
| style="text-align:center;" | 883.489
|  
603.871
|
| style="text-align:center;" | 134.9775
|  
92.258
|  
| style="text-align:center;" | 73.624
|
50.323
| 139\299
| style="text-align:center;" | 1766.9775
| 884.186<br />604.348
1207.742
| 133.582<br />91.304
| style="text-align:center;" |
| 82.694<br />56.522
|-
| 1768.373<br />1208.696
| style="text-align:center;" |
| Golden Arcturus is near here
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" | 59\127
|  
| style="text-align:center;" |
| 53\114
| style="text-align:center;" | 883.585
|
603.937
|
| style="text-align:center;" | 134.784
| 884.24<br />604.386
92.126
| 133.4705<br />91.228
| style="text-align:center;" | 74.88
| 83.419<br />57.0175
51.181
| 1768.4845<br />1208.772
| style="text-align:center;" | 1767.171
|
1207.574
|- style="text-align: center;"
| style="text-align:center;" |
|
|-
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
| 126\271
| style="text-align:center;" |
| 884.303<br />604.428
| style="text-align:center;" | 105\226
| 133.347<br />91.144
| style="text-align:center;" | 883.652
| 84.219<br />57.565
603.982
| 1768.608<br />1208.856
| style="text-align:center;" | 134.652
|
92.035
|- style="text-align: center;"
| style="text-align:center;" | 75.742
|  
51.77
|  
| style="text-align:center;" | 1767.303
|  
1207.964
|  
| style="text-align:center;" |
|  
|-
| 73\157
| style="text-align:center;" |
|  
| style="text-align:center;" |
| 884.3485<br />604.459
| style="text-align:center;" |
| 133.258<br />91.083
| style="text-align:center;" |
| 84.8005<br />57.962
| style="text-align:center;" | 46\99
| 1768.697<br />1208.917
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 883.737
604.04
| style="text-align:center;" | 134.482
91.919
| style="text-align:center;" | 76.847
52.525
| style="text-align:center;" | 1767.473
1208.081
| style="text-align:center;" | L=7 s=4
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 125\269
| style="text-align:center;" | 883.808
604.089
| style="text-align:center;" | 134.339
91.822
| style="text-align:center;" | 77.775
53.16
| style="text-align:center;" | 1767.616
1208.178
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 79\170
| style="text-align:center;" |
| style="text-align:center;" | 883.85
604.118
| style="text-align:center;" | 134.256
91.765
| style="text-align:center;" | 78.316
53.529
| style="text-align:center;" | 1767.699
1208.235
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 112\241
| style="text-align:center;" | 883.896
604.149
| style="text-align:center;" | 134.163
91.701
| style="text-align:center;" | 78.919
53.942
| style="text-align:center;" | 1767.792
1208.299
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 33\71
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 884.007
604.225
| style="text-align:center;" | 133.94
91.549
| style="text-align:center;" | 80.364
54.93
| style="text-align:center;" | 1768.0145
1208.451
| style="text-align:center;" | L=5 s=3
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 119\256
| style="text-align:center;" | 884.112
604.297
| style="text-align:center;" | 133.731
91.406
| style="text-align:center;" | 81.725
55.859
| style="text-align:center;" | 1768.224
1208.594
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 86\185
| style="text-align:center;" |
| style="text-align:center;" | 884.152
604.324
| style="text-align:center;" | 133.651
91.351
| style="text-align:center;" | 82.247
56.216
| style="text-align:center;" | 1768.304
1208.649
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 139\299
| style="text-align:center;" | 884.186
604.348
| style="text-align:center;" | 133.582
91.304
| style="text-align:center;" | 82.694
56.522
| style="text-align:center;" | 1768.373
1208.696
| style="text-align:center;" | Golden Arcturus is near here
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 53\114
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 884.24
604.386
| style="text-align:center;" | 133.4705
91.228
| style="text-align:center;" | 83.419
57.0175
| style="text-align:center;" | 1768.4845
1208.772
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 126\271
| style="text-align:center;" | 884.303
604.428
| style="text-align:center;" | 133.347
91.144
| style="text-align:center;" | 84.219
57.565
| style="text-align:center;" | 1768.608
1208.856
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" | 73\157
| style="text-align:center;" |  
| style="text-align:center;" | 884.3485
604.459
| style="text-align:center;" | 133.258
91.083
| style="text-align:center;" | 84.8005
57.962
| style="text-align:center;" | 1768.697
1208.917
| style="text-align:center;" |5/3-Pythagorean is near here
| style="text-align:center;" |5/3-Pythagorean is near here
|-
|- style="text-align: center;"
| style="text-align:center;" |  
|
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" | 93\200
| 93\200
| style="text-align:center;" | 884.409
| 884.409<br />604.5
604.5
| 133.137<br />91
| style="text-align:center;" | 133.137
| 85.588<br />58.5
91
| 1768.818<br />1209
| style="text-align:center;" | 85.588
|  
58.5
|- style="text-align: center;"
| style="text-align:center;" | 1768.818
|
1209
|
| style="text-align:center;" |  
| 20\43
|-
|  
| style="text-align:center;" |  
|
| style="text-align:center;" |  
|
| style="text-align:center;" | 20\43
|
| style="text-align:center;" |  
| 884.63<br />604.651
| style="text-align:center;" |  
| 132.6945<br />90.698
| style="text-align:center;" |  
| 88.463<br />60.465
| style="text-align:center;" |  
| 1769.2605<br />1209.302
| style="text-align:center;" | 884.63
| L=3 s=2
604.651
|- style="text-align: center;"
| style="text-align:center;" | 132.6945
|
90.698
|  
| style="text-align:center;" | 88.463
|
60.465
|  
| style="text-align:center;" | 1769.2605
|  
1209.302
|
| style="text-align:center;" | L=3 s=2
| 87\187
|-
| 884.867<br />604.813
| style="text-align:center;" |
| 132.2215<br />90.374
| style="text-align:center;" |  
| 91.538<br />62.567
| style="text-align:center;" |  
| 1769.7335<br />1209.626
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|- style="text-align: center;"
| style="text-align:center;" |  
|
| style="text-align:center;" | 87\187
|  
| style="text-align:center;" | 884.867
|  
604.813
|  
| style="text-align:center;" | 132.2215
|  
90.374
| 67\144
| style="text-align:center;" | 91.538
|  
62.567
| 884.937<br />604.861
| style="text-align:center;" | 1769.7335
| 132.08<br />90.278
1209.626
| 92.456<br />63.194
| style="text-align:center;" |  
| 1769.875<br />1209.722
|-
|  
| style="text-align:center;" |  
|- style="text-align: center;"
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |  
|
| style="text-align:center;" |  
|
| style="text-align:center;" | 67\144
|
| style="text-align:center;" |  
|
| style="text-align:center;" | 884.937
| 114\245
604.861
| 884.991<br />604.898
| style="text-align:center;" | 132.08
| 131.972<br />90.204
90.278
| 93.157<br />52.6735
| style="text-align:center;" | 92.456
| 1769.983<br />1209.896
63.194
|
| style="text-align:center;" | 1769.875
|- style="text-align: center;"
1209.722
|
| style="text-align:center;" |  
|  
|-
|
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
| 47\101
| style="text-align:center;" |  
|
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
| 885.068<br />604.9505
| style="text-align:center;" |  
| 131.819<br />90.099
| style="text-align:center;" | 114\245
| 94.156<br />64.356
| style="text-align:center;" | 884.991
| 1770.136<br />1209.901
604.898
| L=7 s=5
| style="text-align:center;" | 131.972
|- style="text-align: center;"
90.204
|  
| style="text-align:center;" | 93.157
|  
52.6735
|  
| style="text-align:center;" | 1769.983
|  
1209.896
|  
| style="text-align:center;" |  
|  
|-
| 121\260
| style="text-align:center;" |  
| 885.141<br />605
| style="text-align:center;" |  
| 131.674<br />90
| style="text-align:center;" |  
| 95.098<br />65
| style="text-align:center;" |
| 1770.281<br />1210
| style="text-align:center;" | 47\101
|
| style="text-align:center;" |  
|- style="text-align: center;"
| style="text-align:center;" |  
|  
| style="text-align:center;" | 885.068
|  
604.9505
|  
| style="text-align:center;" | 131.819
|  
90.099
|  
| style="text-align:center;" | 94.156
| 74\159
64.356
|
| style="text-align:center;" | 1770.136
| 885.187<br />605.031
1209.901
| 131.582<br />89.937
| style="text-align:center;" | L=7 s=5
| 95.696<br />65.409
|-
| 1770.373<br />1210.063
| style="text-align:center;" |  
|
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" |
|  
| style="text-align:center;" |  
|
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
| style="text-align:center;" | 121\260
|  
| style="text-align:center;" | 885.141
|  
605
| 101\217
| style="text-align:center;" | 131.674
| 885.242<br />605.069
90
| 131.4715<br />89.862
| style="text-align:center;" | 95.098
| 96.4125<br />65.899
65
| 1770.4835<br />1210.138
| style="text-align:center;" | 1770.281
|  
1210
|- style="text-align: center;"
| style="text-align:center;" |
|
|-
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
| 27\58
| style="text-align:center;" |
|
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" | 74\159
| 885.393<br />605.172
| style="text-align:center;" |
| 131.169<br />89.655
| style="text-align:center;" | 885.187
| 98.377<br />67.241
605.031
| 1770.786<br />1210.345
| style="text-align:center;" | 131.582
| L=4 s=3
89.937
|- style="text-align: center;"
| style="text-align:center;" | 95.696
|  
65.409
|
| style="text-align:center;" | 1770.373
|  
1210.063
|  
| style="text-align:center;" |
|
|-
|  
| style="text-align:center;" |
| 88\189
| style="text-align:center;" |
| 885.566<br />605.291
| style="text-align:center;" |
| 130.822<br />89.418
| style="text-align:center;" |
| 100.6325<br />68.783
| style="text-align:center;" |
| 1771.133<br />1210.582
| style="text-align:center;" |
|  
| style="text-align:center;" | 101\217
|- style="text-align: center;"
| style="text-align:center;" | 885.242
|
605.069
|  
| style="text-align:center;" | 131.4715
|  
89.862
|  
| style="text-align:center;" | 96.4125
|  
65.899
| 61\131
| style="text-align:center;" | 1770.4835
|  
1210.138
| 885.643<br />605.3435
| style="text-align:center;" |
| 130.669<br />89.313
|-
| 101.631<br />69.466
| style="text-align:center;" |
| 1771.286<br />1210.687
| style="text-align:center;" |
|
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" | 27\58
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|
| style="text-align:center;" | 885.393
|  
605.172
|  
| style="text-align:center;" | 131.169
| 95\204
89.655
| 885.714<br />605.392
| style="text-align:center;" | 98.377
| 130.526<br />89.216
67.241
| 102.556<br />70.098
| style="text-align:center;" | 1770.786
| 1771.429<br />1210.784
1210.345
|
| style="text-align:center;" | L=4 s=3
|- style="text-align: center;"
|-
|
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
| 34\73
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" | 88\189
| 885.842<br />605.4795
| style="text-align:center;" | 885.566
| 130.271<br />89.041
605.291
| 104.217<br />71.233
| style="text-align:center;" | 130.822
| 1771.684<br />1210.959
89.418
| L=5 s=4
| style="text-align:center;" | 100.6325
|- style="text-align: center;"
68.783
|
| style="text-align:center;" | 1771.133
|  
1210.582
|  
| style="text-align:center;" |
|  
|-
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
| 75\161
| style="text-align:center;" |
| 886.004<br />605.59
| style="text-align:center;" |
| 129.947<br />88.82
| style="text-align:center;" |
| 106.3205<br />72.671
| style="text-align:center;" | 61\131
| 1772.008<br />1211.18
| style="text-align:center;" |
|
| style="text-align:center;" | 885.643
|- style="text-align: center;"
605.3435
|
| style="text-align:center;" | 130.669
|  
89.313
|
| style="text-align:center;" | 101.631
|  
69.466
|  
| style="text-align:center;" | 1771.286
| 41\88
1210.687
|  
| style="text-align:center;" |
| 886.138<br />605.682
|-
| 129.679<br />88.636
| style="text-align:center;" |
| 108.065<br />73.864
| style="text-align:center;" |
| 1772.276<br />1211.364
| style="text-align:center;" |
| L=6 s=5
| style="text-align:center;" |
|- style="text-align: center;"
| style="text-align:center;" |
|
| style="text-align:center;" |
|  
| style="text-align:center;" | 95\204
|  
| style="text-align:center;" | 885.714
|  
605.392
|  
| style="text-align:center;" | 130.526
|  
89.216
| 48\103
| style="text-align:center;" | 102.556
| 886.348<br />605.825
70.098
| 129.259<br />88.3495
| style="text-align:center;" | 1771.429
| 110.7935<br />75.728
1210.784
| 1772.696<br />1211.6505
| style="text-align:center;" |
| L=7 s=6
|-
|- style="text-align: center;"
| style="text-align:center;" |
| 7\15
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" | 34\73
|  
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
| style="text-align:center;" | 885.842
| 887.579<br />606.667
605.4795
| colspan="2" 126.797<br />86.667
| style="text-align:center;" | 130.271
| 1775.158<br />1213.333
89.041
| L=1 s=1
| style="text-align:center;" | 104.217
71.233
| style="text-align:center;" | 1771.684
1210.959
| style="text-align:center;" | L=5 s=4
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 75\161
| style="text-align:center;" | 886.004
605.59
| style="text-align:center;" | 129.947
88.82
| style="text-align:center;" | 106.3205
72.671
| style="text-align:center;" | 1772.008
1211.18
| style="text-align:center;" |
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 41\88
| style="text-align:center;" |
| style="text-align:center;" | 886.138
605.682
| style="text-align:center;" | 129.679
88.636
| style="text-align:center;" | 108.065
73.864
| style="text-align:center;" | 1772.276
1211.364
| style="text-align:center;" | L=6 s=5
|-
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 48\103
| style="text-align:center;" | 886.348
605.825
| style="text-align:center;" | 129.259
88.3495
| style="text-align:center;" | 110.7935
75.728
| style="text-align:center;" | 1772.696
1211.6505
| style="text-align:center;" | L=7 s=6
|-
| style="text-align:center;" | 7\15
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" | 887.579
606.667
| colspan="2" style="text-align:center;" | 126.797
86.667
| style="text-align:center;" | 1775.158
1213.333
| style="text-align:center;" | L=1 s=1
|}
|}
{{scale tree}}


== Scales ==
== Scales ==
Retrieved from "https://en.xen.wiki/w/Arcturus"