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=<span style="font-size: 1.4em;">EDTs compatible with the Sirius triskaidecatonic scale</span>=
{{Infobox regtemp
The Sirius MOS families of 6L+7s and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 pentad, and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" diatonic scale. Below is a list of the equal-temperaments which contain a 4L+5s scale using generators between 271.7 cents and 317.0 cents.
| Title = Sirius
| Subgroups = 3.5.7
| Comma basis = [[3125/3087]]
| Edo join 1 = b13 | Edo join 2 = b19
| Mapping = 1; 3 5
| Generators = 25/21
| Generators tuning = 293.759
| Optimization method = CWE
| MOS scales = [[1L 5s (3/1-equivalent)|1L 5s <3/1>]], [[6L 1s (3/1-equivalent)|6L 1s <3/1>]], [[6L 7s (3/1-equivalent)|6L 7s <3/1>]]
| Color name =
| Odd limit 1 = 3.5.7 7 | Mistuning 1 = 4.236 | Complexity 1 = 6
| Odd limit 2 = 3.5.7 49 | Mistuning 2 = 8.472 | Complexity 2 = 13
}}
'''Sirius''' is a no-twos temperament which tempers out the gariboh comma, [[3125/3087]] (also known as major BP diesis).


L=1 s=0 6 and 7 edt
See [[Gariboh clan #Sirius]] and [[No-twos subgroup temperaments #Sirius]] for technical data.


L=1 s=1 13 edt
== EDTs compatible with the Sirius triskaidecatonic scale ==
The Sirius [[MOS]] families of [[6L&nbsp;7s]] and 6L&nbsp;7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L&nbsp;1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.


L=2 s=1 19 (~12edo) and 20
* L=1 s=0 [[6edt|6]] and [[7edt|7]] edt
* L=1 s=1 [[13edt|13 edt]]
* L=2 s=1 [[19edt|19]] (~[[12edo]]) and [[20edt|20]]
* L=3 s=1 [[25edt|25]] and [[27edt|27]] (~[[17edo]])
* L=3 s=2 [[32edt|32]] and [[33edt|33]] (~[[21edo]])
* L=4 s=1 [[31edt|31]] and [[34edt|34]]
* L=4 s=3 [[45edt|45]] and [[46edt|46]] (~[[29edo]])
* L=5 s=1 [[37edt|37]] and [[41edt|41]]
* L=5 s=2 [[44edt|44]] and [[47edt|47]]
* L=5 s=3 [[51edt|51]] (~[[32edo]]) and [[53edt|53]]
* L=5 s=4 [[58edt|58]] and [[59edt|59]] (~[[37edo]])
* L=6 s=1 [[43edt|43]] (~[[27edo]]) and [[48edt|48]]
* L=6 s=5 [[71edt|71]] and [[72edt|72]]
* L=7 s=1 [[49edt|49]] (~[[31edo]]) and [[55edt|55]]
* L=7 s=2 [[56edt|56]] and [[61edt|61]]
* L=7 s=3 [[63edt|63]] (~[[40edo]]) and [[67edt|67]] (~[[42edo]])
* L=7 s=4 [[64edt|64]] and [[68edt|68]] (~[[43edo]])
* L=7 s=5 [[77edt|77]] and [[79edt|79]] (~[[50edo]])
* L=7 s=6 [[84edt|84]] (~[[53edo]]) and [[85edt|85]]


L=3 s=1 25 and 27 (~17edo)
[For what it's worth, as [[6edt]] and [[7edt]] are comparable to [[5edo]] and [[7edo]], then the "counterparts" of [[Blackwood]] and [[Whitewood]] would be found in multiples therein and would be [[Category:12-tone scales|dodecatonic]] and [[Category:14-tone scales|tetradecatonic]], eg. [[18edt]] and [[21edt]].]
 
L=3 s=2 32 and 33 (~21edo)
 
L=4 s=1 31 and 34
 
L=4 s=3 45 and 46 (~29edo)
 
L=5 s=1 37 and 41
 
L=5 s=2 44 and 47
 
L=5 s=3 51 (~32edo) and 53
 
L=5 s=4 58 and 59 (~37edo)
 
L=6 s=1 43 (~27edo) and 48
 
L=6 s=5 71 and 72
 
L=7 s=1 49 (~31edo) and 55
 
L=7 s=2 56 and 61
 
L=7 s=3 63 (~40edo) and 67 (~42edo)
 
L=7 s=4 64 and 68 (~43edo)
 
L=7 s=5 77 and 79 (~50edo)
 
L=7 s=6 84 (~53edo) and 85
 
[For what it's worth, as 6edt and 7edt are comparable to 5edo and 7edo, then the "counterparts" of Blackwood and Whitewood would be found in multiples therein and would be dodecatonic and tetradecatonic, eg. 18edt and 21edt.]


{| class="wikitable" style="text-align:center;"
{| class="wikitable" style="text-align:center;"
|-
|-
! colspan="7" | Generator
! colspan="7" | Generator
! | cents
! Cents <br>Hekts
! | L
! L
! | s
! s
! | 2g
! 2g
! | 3g
! 3g
! | 4g
! 4g
! | notes
! notes
|-
|-
| | 1/6
| 1/6
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| colspan="2" | 316.99
| colspan="2" | 316.99 <br>216.67
| | 0
| 0
| | 633.985
| 633.985 <br>433.33
| | 950.98
| 950.98 <br>650
| | 1267.97
| 1267.97 <br>866.67
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 8/49
| 8/49
| | 310.52
| 310.52<br />212.245
| | 271.71
| 271.71<br />185.71
| | 38.815
| 38.815<br />26.53
| | 621.05
| 621.05<br />424.49
| | 931.57
| 931.57<br />636.735
| | 1242.09
| 1242.09<br />848.98
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 7/43
| 7/43
| |  
|  
| | 309.62
| 309.62<br />211.63
| | 265.389
| 265.39<br />181.395
| | 44.23
| 44.23<br />30.23
| | 619.24
| 619.24<br />423.26
| | 928.86
| 928.86<br />634.88
| | 1238.48
| 1238.48<br />846.51
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13/80
| 13/80
| | 309.07
| 309.07<br />211.25
| | 261.52
| 261.52<br />178.75
| | 47.55
| 47.55<br />32.5
| | 618.14
| 618.14<br />422.5
| | 927.2
| 927.2<br />633.75
| | 1236.27
| 1236.27<br />845
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 6/37
| 6/37
| |  
|  
| |  
|  
| | 308.425
| 308.425<br />210.81
| | 257.02
| 257.02<br />175.68
| | 51.4
| 51.4<br />35.135
| | 616.85
| 616.85<br />421.62
| | 925.275
| 925.275<br />632.43
| | 1233.7
| 1233.7<br />843.24
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 17/105
| 17/105
| | 307.94
| 307.94<br />210.48
| | 253.59
| 253.59<br />173.33
| | 54.34
| 54.34<br />37.14
| | 615.87
| 615.87<br />420.95
| | 923.81
| 923.81<br />631.43
| | 1231.74
| 1231.74<br />841.905
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11/68
| 11/68
| |  
|  
| | 307.67
| 307.67<br />210.29
| | 251.73
| 251.73<br />172.06
| | 55.94
| 55.94<br />38.235
| | 615.34
| 615.34<br />420.59
| | 923.01
| 923.01<br />630.88
| | 1230.68
| 1230.68<br />841.18
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 16/99
| 16/99
| | 307.39
| 307.39<br />210.1
| | 249.75
| 249.75<br />170.71
| | 57.635
| 57.635<br />39.39
| | 614.77
| 614.77<br />420.2
| | 922.16
| 922.16<br />630.3
| | 1229.55
| 1229.55<br />840.4
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 5/31
| 5/31
| |  
|  
| |  
|  
| |  
|  
| | 306.77
| 306.77<br />209.68
| | 245.41
| 245.41<br />167.74
| | 61.35
| 61.35<br />41.935
| | 613.53
| 613.53<br />419.355
| | 920.3
| 920.3<br />629.03
| | 1227.07
| 1227.07<br />838.71
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 19/118
| 19/118
| | 306.25
| 306.25<br />209.32
| | 241.77
| 241.77<br />165.25
| | 64.47
| 64.47<br />44.07
| | 612.49
| 612.49<br />418.64
| | 918.74
| 918.74<br />627.97
| | 1224.99
| 1224.99<br />837.29
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 14/87
| 14/87
| |  
|  
| | 306.06
| 306.06<br />209.195
| | 240.47
| 240.47<br />164.37
| | 65.585
| 65.585<br />44.83
| | 612.12
| 612.12<br />418.39
| | 918.19
| 918.19<br />627.59
| | 1224.25
| 1224.25<br />836.78
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 23/143
| 23/143
| | 305.91
| 305.91<br />209.09
| | 239.41
| 239.41<br />163.64
| | 66.5
| 66.5<br />46.36
| | 611.82
| 611.82<br />418.18
| | 917.73
| 917.73<br />627.27
| | 1223.64
| 1223.64<br />836.36
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 9/56
| 9/56
| |  
|  
| |  
|  
| | 305.67
| 305.67<br />208.93
| | 237.74
| 237.74<br />162.5
| | 67.93
| 67.93<br />46.43
| | 611.34
| 611.34<br />417.86
| | 917.01
| 917.01<br />626.79
| | 1222.68
| 1222.68<br />835.71
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 22/137
| 22/137
| | 305.42
| 305.42<br />208.76
| | 236.01
| 236.01<br />161.31
| | 69.41
| 69.41<br />47.445
| | 610.85
| 610.85<br />417.52
| | 916.27
| 916.27<br />626.28
| | 1221.69
| 1221.69<br />835.04
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13/81
| 13/81
| |  
|  
| | 305.25
| 305.25<br />208.64
| | 234.81
| 234.81<br />160.49
| | 70.44
| 70.44<br />48.15
| | 610.5
| 610.5<br />417.28
| | 915.76
| 915.76<br />625.93
| | 1221.01
| 1221.01<br />834.57
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 17/106
| 17/106
| | 305.03
| 305.03<br />208.49
| | 233.26
| 233.26<br />159.43
| | 71.77
| 71.77<br />49.06
| | 610.06
| 610.06<br />416.98
| | 915.09
| 915.09<br />625.47
| | 1220.12
| 1220.12<br />833.96
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 304.73
| 304.73<br />208.285
| | 231.15
| 231.15<br />157.99
| | 73.58
| 73.58<br />50.29
| | 609.46
| 609.46<br />416.57
| | 914.19
| 914.19<br />624.855
| | 1218.92
| 1218.92<br />833.14
| |
|L=8/7 essentially here
|-
|-
| |  
|  
| |  
|  
| | 4/25
| 4/25
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 304.31
| 304.31<br />208
| | 228.235
| 228.235<br />156
| | 76.08
| 76.08<br />52
| | 608.63
| 608.63<br />416
| | 912.94
| 912.94<br />624
| | 1217.25  
| 1217.25 <br />832
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 19/119
| 19/119
| | 303.67
| 303.67<br />207.56
| | 223.76
| 223.76<br />152.94
| | 79.91
| 79.91<br />54.62
| | 607.35
| 607.35<br />415.13
| | 911.02
| 911.02<br />622.69
| | 1214.69
| 1214.69<br />830.25
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 15/94
| 15/94
| |  
|  
| | 303.5
| 303.5<br />207.45
| | 222.57
| 222.57<br />152.13
| | 80.93
| 80.93<br />55.32
| | 607.01
| 607.01<br />414.89
| | 910.51
| 910.51<br />622.34
| | 1214.01
| 1214.01<br />829.79
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 303.39
| 303.39<br />207.37
| | 221.8
| 221.8<br />151.61
| | 81.595
| 81.595<br />55.77
| | 606.79
| 606.79<br />414.74
| | 910.18
| 910.18<br />622.115
| | 1213.57
| 1213.57<br />829.49
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 26/163
| 26/163
| | 303.38
| 303.38<br />207.36
| | 221.7
| 221.7<br />151.53
| | 81.67
| 81.67<br />55.83
| | 606.76
| 606.76<br />414.72
| | 910.14
| 910.14<br />622.08
| | 1213.52
| 1213.52<br />829.45
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11/69
| 11/69
| |  
|  
| |  
|  
| | 303.21
| 303.21<br />207.25
| | 220.52
| 220.52<br />150.725
| | 82.69
| 82.69<br />56.52
| | 606.42
| 606.42<br />414.49
| | 909.63
| 909.63<br />621.74
| | 1212.84
| 1212.84<br />828.99
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 29/182
| 29/182
| | 303.06
| 303.06<br />207.14
| | 219.46
| 219.46<br />150
| | 83.6
| 83.6<br />57.14
| | 606.12
| 606.12<br />414.29
| | 909.18
| 909.18<br />621.43
| | 1212.84
| 1212.84<br />828.57
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 18/113
| 18/113
| |  
|  
| | 302.97
| 302.97<br />207.08
| | 218.81
| 218.81<br />149.56
| | 84.16
| 84.16<br />57.52
| | 605.93
| 605.93<br />414.16
| | 908.9
| 908.9<br />621.24
| | 1211.86
| 1211.86<br />828.32
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 25/157
| 25/157
| | 302.86
| 302.86<br />207.01
| | 218.06
| 218.06<br />149.045
| | 84.8
| 84.8<br />57.96
| | 605.72
| 605.72<br />414.01
| | 908.58
| 908.58<br />621.02
| | 1211.44
| 1211.44<br />828.025
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 7/44
| 7/44
| |  
|  
| |  
|  
| |  
|  
| | 302.58
| 302.58<br />206.82
| | 216.13
| 216.13<br />147.73
| | 86.45
| 86.45<br />59.09
| | 605.17
| 605.17<br />413.63
| | 907.75
| 907.75<br />620.455
| | 1210.34
| 1210.34<br />827.27
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 24/151
| 24/151
| | 302.3
| 302.3<br />206.62
| | 214.13
| 214.13<br />146.36
| | 88.17
| 88.17<br />60.265
| | 604.59
| 604.59<br />413.245
| | 906.89
| 906.89<br />619.87
| | 1209.19
| 1209.19<br />826.49
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 17/107
| 17/107
| |  
|  
| | 302.18
| 302.18<br />206.54
| | 213.3
| 213.3<br />145.79
| | 88.88
| 88.88<br />60.75
| | 604.36
| 604.36<br />413.08
| | 906.54
| 906.54<br />619.63
| | 1208.72
| 1208.72<br />826.17
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 27/170
| 27/170
| | 302.075
| 302.075<br />206.47
| | 212.57
| 212.57<br />145.29
| | 89.5
| 89.5<br />61.18
| | 604.15
| 604.15<br />412.94
| | 906.225
| 906.225<br />619.41
| | 1208.3
| 1208.3<br />825.88
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 10/63
| 10/63
| |  
|  
| |  
|  
| | 301.898
| 301.9<br />206.35
| | 211.33
| 211.33<br />144.44
| | 90.57
| 90.57<br />61.905
| | 603.8
| 603.8<br />412.7
| | 905.69
| 905.7<br />619.05
| | 1207.59
| 1207.59<br />825.4
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 23/145
| 23/145
| | 301.69
| 301.69<br />206.21
| | 209.87
| 209.87<br />143.45
| | 91.82
| 91.82<br />62.76
| | 603.38
| 603.38<br />412.41
| | 905.07
| 905.07<br />618.62
| | 1207.76
| 1207.76<br />824.83
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13/82
| 13/82
| |  
|  
| | 301.53
| 301.53<br />206.1
| | 208.75
| 208.75<br />142.68
| | 92.78
| 92.78<br />63.415
| | 603.06
| 603.06<br />412.195
| | 904.59
| 904.59<br />618.29
| | 1206.12
| 1206.12<br />824.39
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 16/101
| 16/101
| | 301.3
| 301.3<br />205.94
| | 207.14
| 207.14<br />141.58
| | 94.16
| 94.16<br />64.36
| | 602.6
| 602.6<br />411.88
| | 903.9
| 903.9<br />617.82
| | 1205.2
| 1205.2<br />823.76
| |  
|  
|-
|-
| |  
|  
| | 3/19
| 3/19
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 300.31
| 300.31<br />205.26
| | 200.21
| 200.21<br />136.84
| | 100.1
| 100.1<br />68.42
| | 600.62
| 600.62<br />410.52
| | 900.93
| 900.93<br />615.79
| | 1201.235
| 1201.235<br />821.05
| | Boundary of propriety for major Sirius scale
| Boundary of propriety for major Sirius scale
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 17/108
| 17/108
| | 299.38
| 299.38<br />204.63
| | 193.72
| 193.72<br />132.41
| | 105.66
| 105.66<br />72.22
| | 598.76
| 598.76<br />409.26
| | 898.15
| 898.15<br />613.89
| | 1197.53
| 1197.53<br />818.52
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 14/89
| 14/89
| |  
|  
| | 299.18
| 299.18<br />204.49
| | 192.33
| 192.33<br />131.46
| | 106.85
| 106.85<br />73.03
| | 598.37
| 598.37<br />408.99
| | 897.55
| 897.55<br />613.48
| | 1196.74
| 1196.74<br />816.98
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 25/159
| 25/159
| | 299.05
| 299.05<br />204.4
| | 191.39
| 191.39<br />130.82
| | 107.66
| 107.66<br />73.585
| | 598.1
| 598.1<br />408.805
| | 897.15
| 897.15<br />613.21
| | 1196.2
| 1196.2<br />817.61
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11/70
| 11/70
| |  
|  
| |  
|  
| | 298.88
| 298.88<br />204.29
| | 190.2
| 190.2<br />130
| | 108.68
| 108.68<br />74.29
| | 597.76
| 597.76<br />408.57
| | 896.64
| 896.64<br />612.86
| | 1195.52
| 1195.52<br />817.14
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 30/191
| 30/191
| | 298.74
| 298.74<br />204.19
| | 189.2
| 189.2<br />129.32
| | 109.54
| 109.54<br />74.87
| | 597.47
| 597.47<br />408.38
| | 896.21
| 896.21<br />612.565
| | 1194.94
| 1194.94<br />816.75
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 19/121
| 19/121
| |  
|  
| | 298.65
| 298.65<br />204.13
| | 188.62
| 188.62<br />128.93
| | 110.03
| 110.03<br />75.21
| | 597.31
| 597.31<br />408.26
| | 895.96
| 895.96<br />612.4
| | 1194.62
| 1194.62<br />816.53
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 27/172
| 27/172
| | 298.56
| 298.56<br />204.07
| | 187.98
| 187.98<br />128.49
| | 110.58
| 110.58<br />75.58
| | 597.13
| 597.13<br />408.14
| | 895.69
| 895.69<br />612.21
| | 1194.25
| 1194.25<br />816.28
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 8/51
| 8/51
| |  
|  
| |  
|  
| |  
|  
| | 298.35
| 298.35<br />203.92
| | 186.47
| 186.47<br />127.45
| | 111.88
| 111.88<br />76.47
| | 596.69
| 596.69<br />407.84
| | 895.04
| 895.04<br />611.765
| | 1193.38
| 1193.38<br />815.69
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 29/185
| 29/185
| | 298.14
| 298.14<br />203.78
| | 185.055
| 185.055<br />126.49
| | 113.09
| 113.09<br />77.3
| | 596.29
| 596.29<br />407.57
| | 894.43
| 894.43<br />611.35
| | 1192.58
| 1192.58<br />815.135
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 21/134
| 21/134
| |  
|  
| | 298.07
| 298.07<br />203.73
| | 184.52
| 184.52<br />126.12
| | 113.55
| 113.55<br />77.61
| | 596.14
| 596.14<br />407.46
| | 894.2
| 894.2<br />611.19
| | 1192.27
| 1192.27<br />814.925
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 34/217
| 34/217
| | 298
| 298<br />203.69
| | 184.06
| 184.06<br />125.81
| | 113.94
| 113.94<br />77.88
| | 596
| 596<br />407.37
| | 894.01
| 894.01<br />611.06
| | 1192.01
| 1192.01<br />814.75
| | Golden major Sirius scale is near here
| Golden major Sirius scale is near here
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13/83
| 13/83
| |  
|  
| |  
|  
| | 297.9
| 297.9<br />203.61
| | 183.32
| 183.32<br />125.3
| | 114.58
| 114.58<br />78.31
| | 595.79
| 595.79<br />407.23
| | 893.69
| 893.69<br />610.84
| | 1191.59
| 1191.59<br />814.46
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 31/198
| 31/198
| | 297.78
| 297.78<br />203.535
| | 182.51
| 182.51<br />124.75
| | 115.27
| 115.27<br />78.79
| | 595.56
| 595.56<br />407.07
| | 893.34
| 893.34<br />610.61
| | 1191.12
| 1191.12<br />814.14
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 18/115
| 18/115
| |  
|  
| | 297.7
| 297.7<br />203.48
| | 181.93
| 181.93<br />124.35
| | 115.71
| 115.71<br />79.13
| | 595.39
| 595.39<br />406.96
| | 893.09
| 893.09<br />610.435
| | 1190.79
| 1190.79<br />813.91
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 23/147
| 23/147
| | 297.585
| 297.585<br />203.4
| | 181.14
| 181.14<br />123.81
| | 116.45
| 116.45<br />79.59
| | 595.17
| 595.17<br />406.8
| | 892.755
| 892.755<br />610.2
| | 1190.34
| 1190.34<br />813.605
| |  
|  
|-
|-
| |  
|  
| |  
|  
| | 5/32
| 5/32
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 297.18
| 297.18<br />203.125
| | 178.31
| 178.31<br />121.875
| | 118.87
| 118.87<br />81.25
| | 594.36
| 594.36<br />406.25
| | 891.54
| 891.54<br />609.375
| | 1188.72
| 1188.72<br />812.5
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 22/141
| 22/141
| | 296.76
| 296.76<br />202.84
| | 175.36
| 175.36<br />119.86
| | 121.4
| 121.4<br />82.98
| | 593.52
| 593.52<br />405.67
| | 890.28
| 890.28<br />608.51
| | 1187.04
| 1187.04<br />811.34
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 17/109
| 17/109
| |  
|  
| | 296.635
| 296.635<br />202.75
| | 174.49
| 174.49<br />119.27
| | 122.14
| 122.14<br />83.48
| | 593.27
| 593.27<br />405.505
| | 889.905
| 889.905<br />608.26
| | 1186.54
| 1186.54<br />811.01
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 29/186
| 29/186
| | 296.54
| 296.54<br />202.69
| | 173.835
| 173.835<br />118.82
| | 122.71
| 122.71<br />83.87
| | 593.08
| 593.08<br />405.38
| | 889.62
| 889.62<br />608.065
| | 1186.16
| 1186.16<br />810.75
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 12/77
| 12/77
| |  
|  
| |  
|  
| | 296.41
| 296.41<br />202.6
| | 172.905
| 172.905<br />118.18
| | 123.5
| 123.5<br />84.42
| | 592.82
| 592.82<br />405.195
| | 889.23
| 889.23<br />607.79
| | 1185.64
| 1185.64<br />810.39
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 31/199
| 31/199
| | 296.28
| 296.28<br />202.51
| | 172.04
| 172.04<br />117.59
| | 124.25
| 124.25<br />84.925
| | 592.57
| 592.57<br />405.025
| | 888.85
| 888.85<br />607.54
| | 1185.14
| 1185.14<br />810.05
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 19/122
| 19/122
| |  
|  
| | 296.21
| 296.21<br />202.46
| | 171.49
| 171.49<br />117.21
| | 124.718
| 124.718<br />85.25
| | 592.41
| 592.41<br />404.92
| | 888.62
| 888.62<br />607.38
| | 1184.82
| 1184.82<br />809.84
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 26/167
| 26/167
| | 296.11
| 296.11<br />202.395
| | 170.83
| 170.83<br />116.77
| | 125.28
| 125.28<br />85.63
| | 592.23
| 592.23<br />404.79
| | 888.34
| 888.34<br />607.19
| | 1184.45
| 1184.45<br />809.58
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 7/45
| 7/45
| |  
|  
| |  
|  
| |  
|  
| | 295.86
| 295.86<br />202.22
| | 169.06
| 169.06<br />115.56
| | 126.8
| 126.8<br />86.67
| | 591.72
| 591.72<br />404.44
| | 887.57
| 887.57<br />606.67
| | 1183.44
| 1183.44<br />808.89
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 23/148
| 23/148
| | 295.57
| 295.57<br />202.03
| | 167.06
| 167.06<br />114.19
| | 128.51
| 128.51<br />87.84
| | 591.15
| 591.15<br />404.05
| | 886.72
| 886.72<br />606.08
| | 1182.3
| 1182.3<br />806.11
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 16/103
| 16/103
| |  
|  
| | 295.45
| 295.45<br />201.94
| | 166.19
| 166.19<br />113.59
| | 129.26
| 129.26<br />88.35
| | 590.9
| 590.9<br />403.88
| | 886.35
| 886.35<br />605.825
| | 1181.8
| 1181.8<br />807.77
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 25/161
| 25/161
| | 295.335
| 295.335<br />201.86
| | 165.39
| 165.39<br />113.04
| | 129.95
| 129.95<br />88.82
| | 590.67
| 590.67<br />403.73
| | 896.005
| 886.005<br />605.59
| | 1181.34
| 1181.34<br />807.45
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 9/58
| 9/58
| |  
|  
| |  
|  
| | 295.13
| 295.13<br />201.72
| | 163.96
| 163.96<br />112.07
| | 131.17
| 131.17<br />89.655
| | 590.26
| 590.26<br />403.45
| | 885.39
| 885.39<br />605.17
| | 1180.52
| 1180.52<br />806.9
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 20/129
| 20/129
| | 294.88
| 294.88<br />201.55
| | 162.18
| 162.18<br />110.85
| | 132.695
| 132.695<br />90.7
| | 589.75
| 589.75<br />403.1
| | 884.63
| 884.63<br />604.65
| | 1179.51
| 1179.51<br />806.2
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11/71
| 11/71
| |  
|  
| | 294.67
| 294.67<br />201.41
| | 160.73
| 160.73<br />109.86
| | 133.94
| 133.94<br />91.55
| | 589.34
| 589.34<br />402.82
| | 884.01
| 884.01<br />604.225
| | 1178.68
| 1178.68<br />805.63
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13/84
| 13/84
| | 294.35
| 294.35<br />201.19
| | 158.5
| 158.5<br />108.33
| | 135.85
| 135.85<br />92.86
| | 588.7
| 588.7<br />402.38
| | 883.05
| 883.05<br />603.57
| | 1177.4
| 1177.4<br />804.76
| |  
|  
|-
|-
| | 2/13
| 2/13
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 292.61
| 292.61<br />200
| colspan="2" | 146.3
| colspan="2" | 146.3<br />100
| | 585.22
| 585.22<br />400
| | 877.825
| 877.825<br />600
| | 1170.43
| 1170.43<br />800
| | Separatrix of major and minor Sirius scales
| Separatrix of major and minor Sirius scales
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13/85
| 13/85
| | 290.89
| 290.89<br />198.82
| | 156.63
| 156.63<br />107.06
| | 134.26
| 134.26<br />91.765
| | 581.77
| 581.77<br />397.65
| | 872.66
| 872.66<br />596.47
| | 1163.55
| 1163.55<br />795.29
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11/72
| 11/72
| |  
|  
| | 290.58
| 290.58<br />198.61
| | 158.5
| 158.5<br />108.33
| | 132.08
| 132.08<br />90.28
| | 581.15
| 581.15<br />397.22
| | 871.73
| 871.73<br />595.83
| | 1162.3
| 1162.3<br />794.44
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 20/131
| 20/131
| | 290.375
| 290.375<br />198.47
| | 159.71
| 159.71<br />109.16
| | 132.695
| 132.695<br />89.31
| | 580.75
| 580.75<br />396.95
| | 871.125
| 871.125<br />595.42
| | 1161.5
| 1161.5<br />793.89
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 9/59
| 9/59
| |  
|  
| |  
|  
| | 290.13
| 290.13<br />198.305
| | 161.18
| 161.18<br />110.17
| | 128.95
| 128.95<br />88.14
| | 580.26
| 580.26<br />396.61
| | 870.38
| 870.38<br />594.915
| | 1160.52
| 1160.52<br />793.22
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 25/164
| 25/164
| | 289.93
| 289.93<br />198.17
| | 162.36
| 162.36<br />110.98
| | 127.57
| 127.57<br />87.195
| | 579.86
| 579.86<br />396.34
| | 869.8
| 869.8<br />594.51
| | 1159.73
| 1159.73<br />792.68
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 16/105
| 16/105
| |  
|  
| | 289.82
| 289.82<br />198.095
| | 163.025
| 163.025<br />111.43
| | 126.8
| 126.8<br />86.67
| | 579.66
| 579.66<br />396.19
| | 869.47
| 869.47<br />594.29
| | 1159.29
| 1159.29<br />792.38
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 23/151
| 23/151
| | 289.7
| 289.7<br />198.01
| | 163.74
| 163.74<br />111.92
| | 125.96
| 125.96<br />85.09
| | 579.4
| 579.4<br />396.03
| | 869.11
| 869.11<br />594.04
| | 1158.81
| 1158.81<br />792.05
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 7/46
| 7/46
| |  
|  
| |  
|  
| |  
|  
| | 289.43
| 289.43<br />197.83
| | 165.39
| 165.39<br />113.04
| | 124.04
| 124.04<br />84.78
| | 578.86
| 578.86<br />395.65
| | 868.28
| 868.28<br />593.48
| | 1157.71
| 1157.71<br />791.3
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 26/171
| 26/171
| | 289.19
| 289.19<br />197.66
| | 166.84
| 166.84<br />114.035
| | 122.74
| 122.74<br />83.63
| | 578.37
| 578.37<br />395.32
| | 867.56
| 867.56<br />592.98
| | 1156.74
| 1156.74<br />790.64
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 19/125
| 19/125
| |  
|  
| | 289.1
| 289.1<br />197.6
| | 167.37
| 167.37<br />114.4
| | 121.725
| 121.725<br />83.2
| | 578.19
| 578.19<br />395.2
| | 867.29
| 867.29<br />592.8
| | 1156.39
| 1156.39<br />790.4
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 31/204
| 31/204
| | 289.02
| 289.02<br />197.55
| | 167.82
| 167.82<br />114.71
| | 121.2
| 121.2<br />82.84
| | 578.05
| 578.05<br />395.1
| | 867.07
| 867.07<br />592.65
| | 1156.092
| 1156.092<br />790.2
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 12/79
| 12/79
| |  
|  
| |  
|  
| | 288.905
| 288.905<br />197.47
| | 168.53
| 168.53<br />115.19
| | 120.38
| 120.38<br />82.28
| | 577.81
| 577.81<br />394.94
| | 866.715
| 866.715<br />592.405
| | 1155.62
| 1155.62<br />789.87
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 29/191
| 29/191
| | 288.78
| 288.78<br />197.38
| | 169.28
| 169.28<br />115.71
| | 119.495
| 119.495<br />81.675
| | 577.56
| 577.56<br />394.76
| | 866.34
| 866.34<br />592.15
| | 1155.12
| 1155.12<br />789.35
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 17/112
| 17/112
| |  
|  
| | 288.69
| 288.69<br />197.32
| | 169.82
| 169.82<br />116.07
| | 118.87
| 118.87<br />81.25
| | 577.38
| 577.38<br />394.64
| | 866.07
| 866.07<br />591.69
| | 1154.76
| 1154.76<br />789.29
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 22/145
| 22/145
| | 288.57
| 288.57<br />197.24
| | 170.52
| 170.52<br />116.55
| | 118.05
| 118.05<br />80.69
| | 577.14
| 577.14<br />394.48
| | 865.72
| 865.72<br />591.72
| | 1154.29
| 1154.29<br />788.965
| |  
|  
|-
|-
| |  
|  
| |  
|  
| | 5/33
| 5/33
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 288.175
| 288.175<br />196.97
| | 172.905
| 172.905<br />118.18
| | 115.27
| 115.27<br />78.79
| | 576.35
| 576.35<br />393.94
| | 864.525
| 864.525<br />590.91
| | 1152.7
| 1152.7<br />787.88
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 23/152
| 23/152
| | 287.8
| 287.8<br />196.71
| | 175.18
| 175.18<br />119.74
| | 112.62
| 112.62<br />76.97
| | 575.59
| 575.59<br />393.42
| | 863.39
| 863.39<br />590.13
| | 1151.18
| 1151.18<br />786.84
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 18/119
| 18/119
| |  
|  
| | 287.69
| 287.69<br />196.64
| | 175.81
| 175.81<br />120.17
| | 111.88
| 111.88<br />76.47
| | 575.38
| 575.38<br />393.28
| | 863.07
| 863.07<br />589.92
| | 1150.76
| 1150.76<br />786.555
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 31/205
| 31/205
| | 287.61
| 287.61<br />196.585
| | 176.28
| 176.28<br />120.49
| | 111.33
| 111.33<br />76.1
| | 575.23
| 575.23<br />393.17
| | 862.84
| 862.84<br />589.76
| | 1150.54
| 1150.54<br />786.34
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13/86
| 13/86
| |  
|  
| |  
|  
| | 287.505
| 287.505<br />196.51
| | 176.93
| 176.93<br />120.93
| | 110.58
| 110.58<br />75.58
| | 575.01
| 575.01<br />393.02
| | 862.515
| 862.515<br />589.535
| | 1150.02
| 1150.02<br />786.05
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 34/225
| 34/225
| | 287.41
| 287.41<br />196.44
| | 177.52
| 177.52<br />121.33
| | 109.89
| 109.89<br />75.11
| | 574.81
| 574.81<br />392.89
| | 862.22
| 862.22<br />589.22
| | 1149.63
| 1149.63<br />785.67
| | Golden minor Sirius scale is near here
| Golden minor Sirius scale is near here
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 21/139
| 21/139
| |  
|  
| | 287.35
| 287.35<br />196.4
| | 177.88
| 177.88<br />121.58
| | 109.465
| 109.465<br />74.82
| | 574.69
| 574.69<br />392.81
| | 862.02
| 862.02<br />589.21
| | 1149.38
| 1149.38<br />785.61
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 29/192
| 29/192
| | 287.27
| 287.27<br />196.35
| | 178.31
| 178.31<br />121.875
| | 108.97
| 108.97<br />74.48
| | 574.55
| 574.55<br />392.71
| | 861.82
| 861.82<br />589.06
| | 1149.1
| 1149.1<br />785.42
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 8/53
| 8/53
| |  
|  
| |  
|  
| |  
|  
| | 287.09
| 287.09<br />196.23
| | 179.43
| 179.43<br />122.64
| | 107.66
| 107.66<br />73.585
| | 574.18
| 574.18<br />392.45
| | 861.26
| 861.26<br />588.68
| | 1148.35
| 1148.35<br />784.91
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 27/179
| 27/179
| | 286.88
| 286.88<br />196.09
| | 180.63
| 180.63<br />123.46
| | 106.25
| 106.25<br />72.63
| | 573.77
| 573.77<br />392.18
| | 860.66
| 860.66<br />588.27
| | 1147.55
| 1147.55<br />784.36
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 19/126
| 19/126
| |  
|  
| | 286.8
| 286.8<br />196.03
| | 181.14
| 181.14<br />123.81
| | 105.66
| 105.66<br />72.22
| | 573.61
| 573.61<br />392.06
| | 860.41
| 860.41<br />588.095
| | 1147.21
| 1147.21<br />784.13
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 30/199
| 30/199
| | 286.73
| 286.73<br />195.98
| | 181.59
| 181.59<br />124.12
| | 105.13
| 105.13<br />71.86
| | 573.45
| 573.45<br />391.96
| | 860.18
| 860.18<br />587.94
| | 1146.91
| 1146.91<br />783.92
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11/73
| 11/73
| |  
|  
| |  
|  
| | 286.6
| 286.6<br />195.89
| | 182.38
| 182.38<br />124.66
| | 104.22
| 104.22<br />71.23
| | 573.19
| 573.19<br />396.78
| | 859.79
| 859.79<br />587.67
| | 1146.38
| 1146.38<br />783.56
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 25/166
| 25/166
| | 286.44
| 286.44<br />195.78
| | 183.32
| 183.32<br />125.3
| | 103.12
| 103.12<br />70.48
| | 572.88
| 572.88<br />391.57
| | 859.32
| 859.32<br />587.35
| | 1145.76
| 1145.76<br />783.13
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 14/93
| 14/93
| |  
|  
| | 286.32
| 286.32<br />195.7
| | 184.06
| 184.06<br />125.81
| | 102.26
| 102.26<br />69.89
| | 572.63
| 572.63<br />391.4
| | 858.95
| 858.95<br />587.1
| | 1145.26
| 1145.26<br />782.8
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 17/113
| 17/113
| | 286.135
| 286.135<br />195.575
| | 185.15
| 185.15<br />126.55
| | 100.99
| 100.99<br />69.03
| | 572.27
| 572.27<br />391.15
| | 858.405
| 858.405<br />586.73
| | 1144.54
| 1144.54<br />782.3
| |  
|  
|-
|-
| |  
|  
| | 3/20
| 3/20
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 285.29
| 285.29<br />195
| | 190.2
| 190.2<br />130
| | 95.1
| 95.1<br />65
| | 570.59
| 570.59<br />390
| | 855.88
| 855.88<br />585
| | 1141.17
| 1141.17<br />780
| | Boundary of propriety for minor Sirius scale
| Boundary of propriety for minor Sirius scale
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 16/107
| 16/107
| | 284.4
| 284.4<br />194.39
| | 195.52
| 195.52<br />133.645
| | 88.88
| 88.88<br />60.75
| | 568.81
| 568.81<br />388.785
| | 853.21
| 853.21<br />583.18
| | 1137.6
| 1137.6<br />777.57
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13/87
| 13/87
| |  
|  
| | 284.2
| 284.2<br />194.25
| | 196.75
| 196.75<br />134.48
| | 87.45
| 87.45<br />59.77
| | 568.4
| 568.4<br />388.51
| | 852.6
| 852.6<br />582.76
| | 1136.8
| 1136.8<br />777.01
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 23/154
| 23/154
| | 284.06
| 284.06<br />194.16
| | 197.61
| 197.61<br />135.065
| | 86.45
| 86.45<br />59.09
| | 568.12
| 568.12<br />388.31
| | 852.17
| 852.17<br />582.47
| | 1136.23
| 1136.23<br />776.62
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 10/67
| 10/67
| |  
|  
| |  
|  
| | 283.87
| 283.87<br />194.03
| | 198.71
| 198.71<br />135.82
| | 85.16
| 85.16<br />58.21
| | 567.75
| 567.75<br />388.06
| | 851.62
| 851.62<br />582.09
| | 1135.5
| 1135.5<br />776.12
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 27/181
| 27/181
| | 283.72
| 283.72<br />193.92
| | 199.65
| 199.65<br />136.46
| | 84.06
| 84.06<br />57.46
| | 567.43
| 567.43<br />387.845
| | 851.15
| 851.15<br />581.77
| | 1134.87
| 1134.87<br />775.69
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 17/114
| 17/114
| |  
|  
| | 283.625
| 283.625<br />193.86
| | 200.21
| 200.21<br />136.84
| | 83.42
| 83.42<br />57.02
| | 567.25
| 567.25<br />387.72
| | 850.875
| 850.875<br />581.58
| | 1134.5
| 1134.5<br />775.44
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 24/161
| 24/161
| | 283.52
| 283.52<br />193.79
| | 200.83
| 200.83<br />137.27
| | 82.69
| 82.69<br />56.52
| | 567.04
| 567.04<br />387.58
| | 850.56
| 850.56<br />581.37
| | 1134.08
| 1134.08<br />775.155
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 7/47
| 7/47
| |  
|  
| |  
|  
| |  
|  
| | 283.27
| 283.27<br />193.62
| | 202.34
| 202.34<br />138.3
| | 80.93
| 80.93<br />55.32
| | 566.54
| 566.54<br />387.24
| | 849.81
| 849.81<br />580.86
| | 1133.08
| 1133.08<br />774.48
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 25/168
| 25/168
| | 283.03
| 283.03<br />193.45
| | 203.78
| 203.78<br />139.29
| | 79.25
| 79.25<br />54.16
| | 566.06
| 566.06<br />386.905
| | 849.09
| 849.09<br />580.36
| | 1132.12
| 1132.12<br />773.81
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 18/121
| 18/121
| |  
|  
| | 282.935
| 282.935<br />193.39
| | 204.34
| 204.34<br />139.67
| | 78.59
| 78.59<br />53.72
| | 565.87
| 565.87<br />386.78
| | 848.805
| 848.805<br />580.165
| | 1131.74
| 1131.74<br />773.55
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 29/195
| 29/195
| | 282.855
| 282.855<br />193.33
| | 204.83
| 204.83<br />140
| | 78.03
| 78.03<br />53.33
| | 565.71
| 565.71<br />386.67
| | 848.565
| 848.565<br />580
| | 1131.42
| 1131.42<br />773.33
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11/74
| 11/74
| |  
|  
| |  
|  
| | 282.72
| 282.72<br />193.24
| | 205.62
| 205.62<br />140.54
| | 77.11
| 77.11<br />52.7
| | 565.45
| 565.45<br />386.49
| | 848.17
| 848.17<br />579.73
| | 1130.89
| 1130.89<br />772.97
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 26/175
| 26/175
| | 282.58
| 282.58<br />193.14
| | 206.5
| 206.5<br />141.14
| | 76.08
| 76.08<br />52
| | 565.15
| 565.15<br />386.29
| | 847.73
| 847.73<br />579.43
| | 1130.3
| 1130.3<br />772.57
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 282.56
| 282.56<br />193.135
| | 206.57
| 206.57<br />141.19
| | 75.99
| 75.99<br />51.94
| | 565.13
| 565.13<br />386.27
| | 847.69
| 847.69<br />579.4
| | 1130.26
| 1130.26<br />772.54
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 15/101
| 15/101
| |  
|  
| | 282.47
| 282.47<br />193.07
| | 207.14
| 207.14<br />141.58
| | 75.325
| 75.325<br />51.485
| | 564.94
| 564.94<br />386.14
| | 847.41
| 847.41<br />579.21
| | 1129.88
| 1129.88<br />772.28
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 19/128
| 19/128
| | 282.32
| 282.32<br />192.97
| | 208.03
| 208.03<br />142.19
| | 74.295
| 74.295<br />50.78
| | 564.64
| 564.64<br />385.94
| | 846.96
| 846.96<br />578.91
| | 1129.28
| 1129.28<br />771.875
| |  
|  
|-
|-
| |  
|  
| |  
|  
| | 4/27
| 4/27
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 281.77
| 281.77<br />192.59
| | 211.33
| 211.33<br />144.44
| | 70.44
| 70.44<br />48.15
| | 563.54
| 563.54<br />385.185
| | 845.31
| 845.31<br />577.78
| | 1127.08
| 1127.08<br />770.37
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 281.415
| 281.415<br />192.35
| | 213.47
| 213.47<br />145.91
| | 67.95
| 67.95<br />46.44
| | 562.83
| 562.83<br />384.7
| | 844.24
| 844.24<br />577.05
| | 1125.66
| 1125.66<br />769.4
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 17/115
| 17/115
| | 281.16
| 281.16<br />192.17
| | 215
| 215<br />146.96
| | 66.155
| 66.155<br />45.22
| | 562.32
| 562.32<br />384.35
| | 843.48
| 843.48<br />576.52
| | 1124.64
| 1124.64<br />768.69
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13/88
| 13/88
| |  
|  
| | 280.97
| 280.97<br />192.045
| | 216.13
| 216.13<br />147.73
| | 64.84
| 64.84<br />44.31
| | 561.94
| 561.94<br />384.09
| | 842.91
| 842.91<br />576.14
| | 1123.88
| 1123.88<br />768.18
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 22/149
| 22/149
| | 280.83
| 280.83<br />191.95
| | 217
| 217<br />148.32
| | 63.82
| 63.82<br />43.62
| | 561.65
| 561.65<br />383.89
| | 842.48
| 842.48<br />575.84
| | 1123.3
| 1123.3<br />767.785
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 9/61
| 9/61
| |  
|  
| |  
|  
| | 280.62
| 280.62<br />191.8
| | 218.26
| 218.26<br />149.18
| | 62.36
| 62.36<br />42.62
| | 561.23
| 561.23<br />191.61
| | 841.85
| 841.85<br />575.41
| | 1122.46
| 1122.46<br />767.21
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 23/156
| 23/156
| | 280.42
| 280.42<br />191.67
| | 219.46
| 219.46<br />150
| | 60.96
| 60.96<br />41.67
| | 560.83
| 560.83<br />383.33
| | 841.25
| 841.25<br />575
| | 1121.66
| 1121.66<br />766.67
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 14/95
| 14/95
| |  
|  
| | 280.29
| 280.29<br />191.58
| | 220.23
| 220.23<br />150.53
| | 60.06
| 60.06<br />41.05
| | 560.58
| 560.58<br />383.16
| | 840.86
| 840.86<br />574.74
| | 1121.15
| 1121.15<br />766.32
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 19/129
| 19/129
| | 280.13
| 280.13<br />191.47
| | 221.16
| 221.16<br />151.16
| | 58.975
| 58.975<br />40.31
| | 560.27
| 560.27<br />382.95
| | 840.4
| 840.4<br />574.42
| | 1120.53
| 1120.53<br />765.89
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 5/34
| 5/34
| |  
|  
| |  
|  
| |  
|  
| | 279.7
| 279.7<br />191.18
| | 223.76
| 223.76<br />152.94
| | 55.94
| 55.94<br />38.235
| | 559.4
| 559.4<br />382.35
| | 839.1
| 839.1<br />573.52
| | 1118.8
| 1118.8<br />764.71
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 16/109
| 16/109
| | 279.19
| 279.19<br />190.83
| | 226.84
| 226.84<br />155.05
| | 52.35
| 52.35<br />35.78
| | 558.37
| 558.37<br />381.65
| | 837.56
| 837.56<br />572.48
| | 1116.74
| 1116.74<br />763.3
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11/75
| 11/75
| |  
|  
| | 278.95
| 278.95<br />190.67
| | 228.235
| 228.235<br />156
| | 50.72
| 50.72<br />34.67
| | 557.91
| 557.91<br />381.33
| | 836.86
| 836.86<br />572
| | 1115.81
| 1115.81<br />762.67
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 17/116
| 17/116
| | 278.735
| 278.735<br />190.52
| | 229.55
| 229.55<br />156.9
| | 49.19
| 49.19<br />33.62
| | 557.47
| 557.47<br />381.03
| | 836.205
| 836.205<br />571.55
| | 1114.94
| 1114.94<br />762.07
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 6/41
| 6/41
| |  
|  
| |  
|  
| | 278.335
| 278.335<br />190.24
| | 231.95
| 231.95<br />158.54
| | 46.39
| 46.39<br />31.71
| | 556.67
| 556.67<br />380.49
| | 835.005
| 835.005<br />570.73
| | 1113.34
| 1113.34<br />760.98
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13/89
| 13/89
| | 277.81
| 277.81<br />189.89
| | 235.07
| 235.07<br />160.67
| | 42.74
| 42.74<br />29.21
| | 555.63
| 555.63<br />379.775
| | 833.44
| 833.44<br />569.66
| | 1111.26
| 1111.26<br />759.55
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 7/48
| 7/48
| |  
|  
| | 277.37
| 277.37<br />189.58
| | 237.74
| 237.74<br />162.5
| | 39.62
| 39.62<br />27.08
| | 554.74
| 554.74<br />379.17
| | 832.1
| 832.1<br />568.75
| | 1109.47
| 1109.47<br />758.33
| |  
|  
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 8/55
| 8/55
| | 276.65
| 276.65<br />189.09
| | 242.07
| 242.07<br />165.455
| | 34.58
| 34.58<br />23.64
| | 553.3
| 553.3<br />378.18
| | 829.94
| 829.94<br />567.27
| | 1106.59
| 1106.59<br />756.36
| |  
|  
|-
|-
| | 1/7
| 1/7
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| colspan="2" | 271.71
| colspan="2" | 271.71<br />185.71
| | 0
| 0
| | 543.42
| 543.42<br />371.43
| | 815.12
| 815.12<br />557.14
| | 1086.83
| 1086.83<br />742.86
| |  
|  
|}
|}


 
[[Category:Sirius| ]] <!-- main article -->
[[Category:todo:definition]]
[[Category:Rank-2 temperaments]]
[[Category:Non-octave temperaments]]
{{Todo| review }}

Latest revision as of 07:48, 8 March 2026

Sirius
Subgroups 3.5.7
Comma basis 3125/3087
Reduced mapping ⟨1; 3 5]
ET join b13 & b19
Generators (CWE) ~25/21 = 293.759 ¢
MOS scales 1L 5s <3/1>, 6L 1s <3/1>, 6L 7s <3/1>
Ploidacot pentagem
Minimax error 3.5.7 7-throdd-limit: 4.236 ¢;
3.5.7 49-throdd-limit: 8.472 ¢
Target scale size 3.5.7 7-throdd-limit: 6 notes;
3.5.7 49-throdd-limit: 13 notes

Sirius is a no-twos temperament which tempers out the gariboh comma, 3125/3087 (also known as major BP diesis).

See Gariboh clan #Sirius and No-twos subgroup temperaments #Sirius for technical data.

EDTs compatible with the Sirius triskaidecatonic scale

The Sirius MOS families of 6L 7s and 6L 7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 pentad, and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" diatonic scale. Below is a list of the equal-temperaments which contain a 6L 1s scale using generators between 271.7 cents and 317.0 cents.

[For what it's worth, as 6edt and 7edt are comparable to 5edo and 7edo, then the "counterparts" of Blackwood and Whitewood would be found in multiples therein and would be and , eg. 18edt and 21edt.]

Generator Cents
Hekts 		L s 2g 3g 4g notes
1/6 316.99
216.67 		0 633.985
433.33 		950.98
650 		1267.97
866.67
8/49 310.52
212.245 		271.71
185.71 		38.815
26.53 		621.05
424.49 		931.57
636.735 		1242.09
848.98
7/43 309.62
211.63 		265.39
181.395 		44.23
30.23 		619.24
423.26 		928.86
634.88 		1238.48
846.51
13/80 309.07
211.25 		261.52
178.75 		47.55
32.5 		618.14
422.5 		927.2
633.75 		1236.27
845
6/37 308.425
210.81 		257.02
175.68 		51.4
35.135 		616.85
421.62 		925.275
632.43 		1233.7
843.24
17/105 307.94
210.48 		253.59
173.33 		54.34
37.14 		615.87
420.95 		923.81
631.43 		1231.74
841.905
11/68 307.67
210.29 		251.73
172.06 		55.94
38.235 		615.34
420.59 		923.01
630.88 		1230.68
841.18
16/99 307.39
210.1 		249.75
170.71 		57.635
39.39 		614.77
420.2 		922.16
630.3 		1229.55
840.4
5/31 306.77
209.68 		245.41
167.74 		61.35
41.935 		613.53
419.355 		920.3
629.03 		1227.07
838.71
19/118 306.25
209.32 		241.77
165.25 		64.47
44.07 		612.49
418.64 		918.74
627.97 		1224.99
837.29
14/87 306.06
209.195 		240.47
164.37 		65.585
44.83 		612.12
418.39 		918.19
627.59 		1224.25
836.78
23/143 305.91
209.09 		239.41
163.64 		66.5
46.36 		611.82
418.18 		917.73
627.27 		1223.64
836.36
9/56 305.67
208.93 		237.74
162.5 		67.93
46.43 		611.34
417.86 		917.01
626.79 		1222.68
835.71
22/137 305.42
208.76 		236.01
161.31 		69.41
47.445 		610.85
417.52 		916.27
626.28 		1221.69
835.04
13/81 305.25
208.64 		234.81
160.49 		70.44
48.15 		610.5
417.28 		915.76
625.93 		1221.01
834.57
17/106 305.03
208.49 		233.26
159.43 		71.77
49.06 		610.06
416.98 		915.09
625.47 		1220.12
833.96
304.73
208.285 		231.15
157.99 		73.58
50.29 		609.46
416.57 		914.19
624.855 		1218.92
833.14 		L=8/7 essentially here
4/25 304.31
208 		228.235
156 		76.08
52 		608.63
416 		912.94
624 		1217.25
832
19/119 303.67
207.56 		223.76
152.94 		79.91
54.62 		607.35
415.13 		911.02
622.69 		1214.69
830.25
15/94 303.5
207.45 		222.57
152.13 		80.93
55.32 		607.01
414.89 		910.51
622.34 		1214.01
829.79
303.39
207.37 		221.8
151.61 		81.595
55.77 		606.79
414.74 		910.18
622.115 		1213.57
829.49
26/163 303.38
207.36 		221.7
151.53 		81.67
55.83 		606.76
414.72 		910.14
622.08 		1213.52
829.45
11/69 303.21
207.25 		220.52
150.725 		82.69
56.52 		606.42
414.49 		909.63
621.74 		1212.84
828.99
29/182 303.06
207.14 		219.46
150 		83.6
57.14 		606.12
414.29 		909.18
621.43 		1212.84
828.57
18/113 302.97
207.08 		218.81
149.56 		84.16
57.52 		605.93
414.16 		908.9
621.24 		1211.86
828.32
25/157 302.86
207.01 		218.06
149.045 		84.8
57.96 		605.72
414.01 		908.58
621.02 		1211.44
828.025
7/44 302.58
206.82 		216.13
147.73 		86.45
59.09 		605.17
413.63 		907.75
620.455 		1210.34
827.27
24/151 302.3
206.62 		214.13
146.36 		88.17
60.265 		604.59
413.245 		906.89
619.87 		1209.19
826.49
17/107 302.18
206.54 		213.3
145.79 		88.88
60.75 		604.36
413.08 		906.54
619.63 		1208.72
826.17
27/170 302.075
206.47 		212.57
145.29 		89.5
61.18 		604.15
412.94 		906.225
619.41 		1208.3
825.88
10/63 301.9
206.35 		211.33
144.44 		90.57
61.905 		603.8
412.7 		905.7
619.05 		1207.59
825.4
23/145 301.69
206.21 		209.87
143.45 		91.82
62.76 		603.38
412.41 		905.07
618.62 		1207.76
824.83
13/82 301.53
206.1 		208.75
142.68 		92.78
63.415 		603.06
412.195 		904.59
618.29 		1206.12
824.39
16/101 301.3
205.94 		207.14
141.58 		94.16
64.36 		602.6
411.88 		903.9
617.82 		1205.2
823.76
3/19 300.31
205.26 		200.21
136.84 		100.1
68.42 		600.62
410.52 		900.93
615.79 		1201.235
821.05 		Boundary of propriety for major Sirius scale
17/108 299.38
204.63 		193.72
132.41 		105.66
72.22 		598.76
409.26 		898.15
613.89 		1197.53
818.52
14/89 299.18
204.49 		192.33
131.46 		106.85
73.03 		598.37
408.99 		897.55
613.48 		1196.74
816.98
25/159 299.05
204.4 		191.39
130.82 		107.66
73.585 		598.1
408.805 		897.15
613.21 		1196.2
817.61
11/70 298.88
204.29 		190.2
130 		108.68
74.29 		597.76
408.57 		896.64
612.86 		1195.52
817.14
30/191 298.74
204.19 		189.2
129.32 		109.54
74.87 		597.47
408.38 		896.21
612.565 		1194.94
816.75
19/121 298.65
204.13 		188.62
128.93 		110.03
75.21 		597.31
408.26 		895.96
612.4 		1194.62
816.53
27/172 298.56
204.07 		187.98
128.49 		110.58
75.58 		597.13
408.14 		895.69
612.21 		1194.25
816.28
8/51 298.35
203.92 		186.47
127.45 		111.88
76.47 		596.69
407.84 		895.04
611.765 		1193.38
815.69
29/185 298.14
203.78 		185.055
126.49 		113.09
77.3 		596.29
407.57 		894.43
611.35 		1192.58
815.135
21/134 298.07
203.73 		184.52
126.12 		113.55
77.61 		596.14
407.46 		894.2
611.19 		1192.27
814.925
34/217 298
203.69 		184.06
125.81 		113.94
77.88 		596
407.37 		894.01
611.06 		1192.01
814.75 		Golden major Sirius scale is near here
13/83 297.9
203.61 		183.32
125.3 		114.58
78.31 		595.79
407.23 		893.69
610.84 		1191.59
814.46
31/198 297.78
203.535 		182.51
124.75 		115.27
78.79 		595.56
407.07 		893.34
610.61 		1191.12
814.14
18/115 297.7
203.48 		181.93
124.35 		115.71
79.13 		595.39
406.96 		893.09
610.435 		1190.79
813.91
23/147 297.585
203.4 		181.14
123.81 		116.45
79.59 		595.17
406.8 		892.755
610.2 		1190.34
813.605
5/32 297.18
203.125 		178.31
121.875 		118.87
81.25 		594.36
406.25 		891.54
609.375 		1188.72
812.5
22/141 296.76
202.84 		175.36
119.86 		121.4
82.98 		593.52
405.67 		890.28
608.51 		1187.04
811.34
17/109 296.635
202.75 		174.49
119.27 		122.14
83.48 		593.27
405.505 		889.905
608.26 		1186.54
811.01
29/186 296.54
202.69 		173.835
118.82 		122.71
83.87 		593.08
405.38 		889.62
608.065 		1186.16
810.75
12/77 296.41
202.6 		172.905
118.18 		123.5
84.42 		592.82
405.195 		889.23
607.79 		1185.64
810.39
31/199 296.28
202.51 		172.04
117.59 		124.25
84.925 		592.57
405.025 		888.85
607.54 		1185.14
810.05
19/122 296.21
202.46 		171.49
117.21 		124.718
85.25 		592.41
404.92 		888.62
607.38 		1184.82
809.84
26/167 296.11
202.395 		170.83
116.77 		125.28
85.63 		592.23
404.79 		888.34
607.19 		1184.45
809.58
7/45 295.86
202.22 		169.06
115.56 		126.8
86.67 		591.72
404.44 		887.57
606.67 		1183.44
808.89
23/148 295.57
202.03 		167.06
114.19 		128.51
87.84 		591.15
404.05 		886.72
606.08 		1182.3
806.11
16/103 295.45
201.94 		166.19
113.59 		129.26
88.35 		590.9
403.88 		886.35
605.825 		1181.8
807.77
25/161 295.335
201.86 		165.39
113.04 		129.95
88.82 		590.67
403.73 		886.005
605.59 		1181.34
807.45
9/58 295.13
201.72 		163.96
112.07 		131.17
89.655 		590.26
403.45 		885.39
605.17 		1180.52
806.9
20/129 294.88
201.55 		162.18
110.85 		132.695
90.7 		589.75
403.1 		884.63
604.65 		1179.51
806.2
11/71 294.67
201.41 		160.73
109.86 		133.94
91.55 		589.34
402.82 		884.01
604.225 		1178.68
805.63
13/84 294.35
201.19 		158.5
108.33 		135.85
92.86 		588.7
402.38 		883.05
603.57 		1177.4
804.76
2/13 292.61
200 		146.3
100 		585.22
400 		877.825
600 		1170.43
800 		Separatrix of major and minor Sirius scales
13/85 290.89
198.82 		156.63
107.06 		134.26
91.765 		581.77
397.65 		872.66
596.47 		1163.55
795.29
11/72 290.58
198.61 		158.5
108.33 		132.08
90.28 		581.15
397.22 		871.73
595.83 		1162.3
794.44
20/131 290.375
198.47 		159.71
109.16 		132.695
89.31 		580.75
396.95 		871.125
595.42 		1161.5
793.89
9/59 290.13
198.305 		161.18
110.17 		128.95
88.14 		580.26
396.61 		870.38
594.915 		1160.52
793.22
25/164 289.93
198.17 		162.36
110.98 		127.57
87.195 		579.86
396.34 		869.8
594.51 		1159.73
792.68
16/105 289.82
198.095 		163.025
111.43 		126.8
86.67 		579.66
396.19 		869.47
594.29 		1159.29
792.38
23/151 289.7
198.01 		163.74
111.92 		125.96
85.09 		579.4
396.03 		869.11
594.04 		1158.81
792.05
7/46 289.43
197.83 		165.39
113.04 		124.04
84.78 		578.86
395.65 		868.28
593.48 		1157.71
791.3
26/171 289.19
197.66 		166.84
114.035 		122.74
83.63 		578.37
395.32 		867.56
592.98 		1156.74
790.64
19/125 289.1
197.6 		167.37
114.4 		121.725
83.2 		578.19
395.2 		867.29
592.8 		1156.39
790.4
31/204 289.02
197.55 		167.82
114.71 		121.2
82.84 		578.05
395.1 		867.07
592.65 		1156.092
790.2
12/79 288.905
197.47 		168.53
115.19 		120.38
82.28 		577.81
394.94 		866.715
592.405 		1155.62
789.87
29/191 288.78
197.38 		169.28
115.71 		119.495
81.675 		577.56
394.76 		866.34
592.15 		1155.12
789.35
17/112 288.69
197.32 		169.82
116.07 		118.87
81.25 		577.38
394.64 		866.07
591.69 		1154.76
789.29
22/145 288.57
197.24 		170.52
116.55 		118.05
80.69 		577.14
394.48 		865.72
591.72 		1154.29
788.965
5/33 288.175
196.97 		172.905
118.18 		115.27
78.79 		576.35
393.94 		864.525
590.91 		1152.7
787.88
23/152 287.8
196.71 		175.18
119.74 		112.62
76.97 		575.59
393.42 		863.39
590.13 		1151.18
786.84
18/119 287.69
196.64 		175.81
120.17 		111.88
76.47 		575.38
393.28 		863.07
589.92 		1150.76
786.555
31/205 287.61
196.585 		176.28
120.49 		111.33
76.1 		575.23
393.17 		862.84
589.76 		1150.54
786.34
13/86 287.505
196.51 		176.93
120.93 		110.58
75.58 		575.01
393.02 		862.515
589.535 		1150.02
786.05
34/225 287.41
196.44 		177.52
121.33 		109.89
75.11 		574.81
392.89 		862.22
589.22 		1149.63
785.67 		Golden minor Sirius scale is near here
21/139 287.35
196.4 		177.88
121.58 		109.465
74.82 		574.69
392.81 		862.02
589.21 		1149.38
785.61
29/192 287.27
196.35 		178.31
121.875 		108.97
74.48 		574.55
392.71 		861.82
589.06 		1149.1
785.42
8/53 287.09
196.23 		179.43
122.64 		107.66
73.585 		574.18
392.45 		861.26
588.68 		1148.35
784.91
27/179 286.88
196.09 		180.63
123.46 		106.25
72.63 		573.77
392.18 		860.66
588.27 		1147.55
784.36
19/126 286.8
196.03 		181.14
123.81 		105.66
72.22 		573.61
392.06 		860.41
588.095 		1147.21
784.13
30/199 286.73
195.98 		181.59
124.12 		105.13
71.86 		573.45
391.96 		860.18
587.94 		1146.91
783.92
11/73 286.6
195.89 		182.38
124.66 		104.22
71.23 		573.19
396.78 		859.79
587.67 		1146.38
783.56
25/166 286.44
195.78 		183.32
125.3 		103.12
70.48 		572.88
391.57 		859.32
587.35 		1145.76
783.13
14/93 286.32
195.7 		184.06
125.81 		102.26
69.89 		572.63
391.4 		858.95
587.1 		1145.26
782.8
17/113 286.135
195.575 		185.15
126.55 		100.99
69.03 		572.27
391.15 		858.405
586.73 		1144.54
782.3
3/20 285.29
195 		190.2
130 		95.1
65 		570.59
390 		855.88
585 		1141.17
780 		Boundary of propriety for minor Sirius scale
16/107 284.4
194.39 		195.52
133.645 		88.88
60.75 		568.81
388.785 		853.21
583.18 		1137.6
777.57
13/87 284.2
194.25 		196.75
134.48 		87.45
59.77 		568.4
388.51 		852.6
582.76 		1136.8
777.01
23/154 284.06
194.16 		197.61
135.065 		86.45
59.09 		568.12
388.31 		852.17
582.47 		1136.23
776.62
10/67 283.87
194.03 		198.71
135.82 		85.16
58.21 		567.75
388.06 		851.62
582.09 		1135.5
776.12
27/181 283.72
193.92 		199.65
136.46 		84.06
57.46 		567.43
387.845 		851.15
581.77 		1134.87
775.69
17/114 283.625
193.86 		200.21
136.84 		83.42
57.02 		567.25
387.72 		850.875
581.58 		1134.5
775.44
24/161 283.52
193.79 		200.83
137.27 		82.69
56.52 		567.04
387.58 		850.56
581.37 		1134.08
775.155
7/47 283.27
193.62 		202.34
138.3 		80.93
55.32 		566.54
387.24 		849.81
580.86 		1133.08
774.48
25/168 283.03
193.45 		203.78
139.29 		79.25
54.16 		566.06
386.905 		849.09
580.36 		1132.12
773.81
18/121 282.935
193.39 		204.34
139.67 		78.59
53.72 		565.87
386.78 		848.805
580.165 		1131.74
773.55
29/195 282.855
193.33 		204.83
140 		78.03
53.33 		565.71
386.67 		848.565
580 		1131.42
773.33
11/74 282.72
193.24 		205.62
140.54 		77.11
52.7 		565.45
386.49 		848.17
579.73 		1130.89
772.97
26/175 282.58
193.14 		206.5
141.14 		76.08
52 		565.15
386.29 		847.73
579.43 		1130.3
772.57
282.56
193.135 		206.57
141.19 		75.99
51.94 		565.13
386.27 		847.69
579.4 		1130.26
772.54
15/101 282.47
193.07 		207.14
141.58 		75.325
51.485 		564.94
386.14 		847.41
579.21 		1129.88
772.28
19/128 282.32
192.97 		208.03
142.19 		74.295
50.78 		564.64
385.94 		846.96
578.91 		1129.28
771.875
4/27 281.77
192.59 		211.33
144.44 		70.44
48.15 		563.54
385.185 		845.31
577.78 		1127.08
770.37
281.415
192.35 		213.47
145.91 		67.95
46.44 		562.83
384.7 		844.24
577.05 		1125.66
769.4
17/115 281.16
192.17 		215
146.96 		66.155
45.22 		562.32
384.35 		843.48
576.52 		1124.64
768.69
13/88 280.97
192.045 		216.13
147.73 		64.84
44.31 		561.94
384.09 		842.91
576.14 		1123.88
768.18
22/149 280.83
191.95 		217
148.32 		63.82
43.62 		561.65
383.89 		842.48
575.84 		1123.3
767.785
9/61 280.62
191.8 		218.26
149.18 		62.36
42.62 		561.23
191.61 		841.85
575.41 		1122.46
767.21
23/156 280.42
191.67 		219.46
150 		60.96
41.67 		560.83
383.33 		841.25
575 		1121.66
766.67
14/95 280.29
191.58 		220.23
150.53 		60.06
41.05 		560.58
383.16 		840.86
574.74 		1121.15
766.32
19/129 280.13
191.47 		221.16
151.16 		58.975
40.31 		560.27
382.95 		840.4
574.42 		1120.53
765.89
5/34 279.7
191.18 		223.76
152.94 		55.94
38.235 		559.4
382.35 		839.1
573.52 		1118.8
764.71
16/109 279.19
190.83 		226.84
155.05 		52.35
35.78 		558.37
381.65 		837.56
572.48 		1116.74
763.3
11/75 278.95
190.67 		228.235
156 		50.72
34.67 		557.91
381.33 		836.86
572 		1115.81
762.67
17/116 278.735
190.52 		229.55
156.9 		49.19
33.62 		557.47
381.03 		836.205
571.55 		1114.94
762.07
6/41 278.335
190.24 		231.95
158.54 		46.39
31.71 		556.67
380.49 		835.005
570.73 		1113.34
760.98
13/89 277.81
189.89 		235.07
160.67 		42.74
29.21 		555.63
379.775 		833.44
569.66 		1111.26
759.55
7/48 277.37
189.58 		237.74
162.5 		39.62
27.08 		554.74
379.17 		832.1
568.75 		1109.47
758.33
8/55 276.65
189.09 		242.07
165.455 		34.58
23.64 		553.3
378.18 		829.94
567.27 		1106.59
756.36
1/7 271.71
185.71 		0 543.42
371.43 		815.12
557.14 		1086.83
742.86
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