Xenharmonic Wiki

Sirius: Difference between revisions

← Older edit
VisualWikitext
m Fix that enormous section title
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,025 edits
No edit summary
Tags: Mobile edit Mobile web edit
 
(6 intermediate revisions by 5 users not shown)
Line 1: Line 1:
== Edts compatible with the Sirius triskaidecatonic scale ==
{{Infobox regtemp
The Sirius [[MOS]] families of [[6L 7s|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|6L+1s]] scale using [[generator]]s 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 [[6edt|6]] and [[7edt|7]] edt
See [[Gariboh clan #Sirius]] and [[No-twos subgroup temperaments #Sirius]] for technical data.


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


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


[[Category:Sirius| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Non-octave temperaments]]
{{Todo| review }}
{{Todo| review }}
Retrieved from "https://en.xen.wiki/w/Sirius"