Xenharmonic Wiki

103edo: Difference between revisions

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|-
|-
| | 1
| | 1
| | 11.650
| | 11.6505
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 2
| |2
| | 23.301
| |23.301
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 3
| |3
| | 34.951
| |34.9515
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 4
| |4
| | 46.602
| |46.602
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 5
| |5
| | 58.252
| |58.252
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 6
| |6
| | 69.903
| |69.903
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 7
| |7
| | 81.553
| |81.553
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 8
| |8
| | 93.204
| |93.204
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 9
| |9
| | 104.854
| |104.854
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 10
| |10
| | 116.505
| |116.5045
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 11
| |11
| | 128.155
| |128.155
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 12
| |12
| | 139.806
| |139.806
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 13
| |13
| | 151.456
| |151.456
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 14
| |14
| | 163.107
| |163.107
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 15
| |15
| | 174.757
| |174.757
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 16
| |16
| | 186.408
| |186.408
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 17
| |17
| | 198.058
| |198.058
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 18
| |18
| | 209.708
| |209.708
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 19
| |19
| | 221.359
| |221.359
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 20
| |20
| | 233.010
| |233.010
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 21
| |21
| | 244.660
| |244.660
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 22
| |22
| | 256.311
| |256.311
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 23
| |23
| | 267.961
| |267.961
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 24
| |24
| | 279.712
| |279.712
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 25
| |25
| | 291.262
| |291.262
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 26
| |26
| | 303.013
| |303.013
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 27
| |27
| | 314.563
| |314.563
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 28
| |28
| | 326.214
| |326.214
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 29
| |29
| | 337.864
| |337.864
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 30
| |30
| | 349.615
| |349.615
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 31
| |31
| | 361.165
| |361.165
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 32
| |32
| | 372.816
| |372.816
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 33
| |33
| | 384.466
| |384.466
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 34
| |34
| | 396.117
| |396.117
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 35
| |35
| | 407.767
| |407.767
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 36
| |36
| | 419.4175
| |419.4175
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 37
| |37
| | 431.068
| |431.068
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 38
| |38
| | 442.708
| |442.708
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 39
| |39
| | 454.369
| |454.369
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 40
| |40
| | 466.019
| |466.019
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 41
| |41
| | 477.670
| |477.670
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 42
| |42
| | 489.320
| |489.320
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 43
| |43
| | 500.971
| |500.971
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 44
| |44
| | 512.621
| |512.621
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 45
| |45
| | 524.272
| |524.272
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 46
| |46
| | 535.922
| |535.922
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 47
| |47
| | 547.573
| |547.573
| | Marevel and Benediction, Hemisecordite
| |Marevel and Benediction, Hemisecordite
|-
|-
| | 48
| |48
| | 559.223
| |559.223
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 49
| |49
| | 570.874
| |570.874
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 50
| |50
| | 582.524
| |582.524
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 52
| |52
| | 605.825
| |605.825
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 53
| |53
| | 617.476
| |617.476
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 54
| |54
| | 629.126
| |629.126
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 55
| |55
| | 640.777
| |640.777
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 56
| |56
| | 652.427
| |652.427
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 57
| |57
| | 664.078
| |664.078
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 58
| |58
| | 675.728
| |675.728
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 59
| |59
| | 687.379
| |687.379
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 60
| |60
| | 699.029
| |699.029
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 61
| |61
| | 710.677
| |710.677
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 62
| |62
| | 722.330
| |722.330
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 63
| |63
| | 733.981
| |733.981
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 64
| |64
| | 745.631
| |745.631
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 65
| |65
| | 757.282
| |757.282
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 66
| |66
| | 768.932
| |768.932
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 67
| |67
| | 780.583
| |780.583
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 68
| |68
| | 792.233
| |792.233
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 69
| |69
| | 803.883
| |803.883
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 70
| |70
| | 815.534
| |815.534
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 71
| |71
| | 827.185
| |827.185
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 72
| |72
| | 838.835
| |838.835
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 73
| |73
| | 850.385
| |850.385
| | Marvel and Benediction. Hemisecordite
| |Marvel and Benediction. Hemisecordite
|-
|-
| | 74
| |74
| | 862.156
| |862.156
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 75
| |75
| | 873.786
| |873.786
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 76
| |76
| | 885.537
| |885.537
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 77
| |77
| | 896.987
| |896.987
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 78
| |78
| | 908.638
| |908.638
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 79
| |79
| | 920.388
| |920.388
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 80
| |80
| | 932.039
| |932.039
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 81
| |81
| | 943.689
| |943.689
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 82
| |82
| | 955.34
| |955.34
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 83
| |83
| | 966.99
| |966.99
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 84
| |84
| | 978.641
| |978.641
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 85
| |85
| | 990.291
| |990.291
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 86
| |86
| | 1001.942
| |1001.942
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 87
| |87
| | 1013.592
| |1013.592
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 88
| |88
| | 1025.243
| |1025.243
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 89
| |89
| | 1036.893
| |1036.893
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 90
| |90
| | 1048.544
| |1048.544
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 91
| |91
| | 1060.194
| |1060.194
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 92
| |92
| | 1071.845
| |1071.845
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 93
| |93
| | 1083.495
| |1083.495
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 94
| |94
| | 1095.146
| |1095.146
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 95
| |95
| | 1106.796
| |1106.796
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 96
| |96
| | 1118.447
| |1118.447
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 97
| |97
| | 1130.097
| |1130.097
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 98
| |98
| | 1141.748
| |1141.748
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 99
| |99
| | 1153.398
| |1153.398
| | Marvel and Benediction
| |Marvel and Benediction
|-
|-
| | 100
| |100
| | 1165.0485
| |1165.0485
| | Marvel and Benediction, Hemisecordite
| |Marvel and Benediction, Hemisecordite
|-
|-
| | 101
| |101
| | 1176.609
| |1176.609
| | Hemisecordite
| |Hemisecordite
|-
|-
| | 102
| |102
| | 1188.3495
| |1188.3495
| | Marvel and Benediction
| |Marvel and Benediction
|}
|}
Since 103edo has a step of 11.6505 cents, it also allows one to use its MOS scales as circulating temperaments.
Since 103edo has a step of 11.6505 cents, it also allows one to use its MOS scales as circulating temperaments.
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|-
|18
|18
|11L 7s
| 11L 7s
| rowspan="3" |6:5
| rowspan="3" |6:5
|-
|-
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|21
|21
|19L 2s
| 19L 2s
| rowspan="5" |5:4
| rowspan="5" |5:4
|-
|-
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|26
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|25L 1s
| 25L 1s
| rowspan="9" |4:3
| rowspan="9" |4:3
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|-
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|28
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|19L 9s
| 19L 9s
|-
|-
|29
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|16L 13s
| 16L 13s
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|30
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|13L 17s
| 13L 17s
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|-
|31
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|10L 21s
| 10L 21s
|-
|-
|32
|32
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|-
|35
|35
|33L 2s
| 33L 2s
| rowspan="17" |3:2
| rowspan="17" |3:2
|-
|-
|36
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|31L 5s
| 31L 5s
|-
|-
|37
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|29L 8s
| 29L 8s
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|38
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|27L 11s
| 27L 11s
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|39
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|25L 14s
| 25L 14s
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|40
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|23L 17s
| 23L 17s
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|41
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|21L 20s
| 21L 20s
|-
|-
|42
|42
|19L 23s  
| 19L 23s
|-
|-
|43
|43
|17L 26L
| 17L 26L
|-
|-
|44
|44
|15L 29s
| 15L 29s
|-
|-
|45
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|13L 32s
| 13L 32s
|-
|-
|46
|46
|11L 35s
| 11L 35s
|-
|-
|47
|47
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|-
|-
|52
|52
|51L 1s
| 51L 1s
| rowspan="31" |2:1
| rowspan="31" |2:1
|-
|-
|53
|53
|50L 3s
| 50L 3s
|-
|-
|54
|54
|49L 5s
| 49L 5s
|-
|-
|55
|55
|48L 7s
| 48L 7s
|-
|-
|56
|56
|47L 9s
| 47L 9s
|-
|-
|57
|57
|46L 11s
| 46L 11s
|-
|-
|58
|58
|45L 13s
| 45L 13s
|-
|-
|59
|59
|44L 15s
| 44L 15s
|-
|-
|60
|60
|43L 17s
| 43L 17s
|-
|-
|61
|61
|42L 19s
| 42L 19s
|-
|-
|62
|62
|41L 21s
| 41L 21s
|-
|-
|63
|63
|40L 23s
| 40L 23s
|-
|-
|64
|64
|39L 25s
| 39L 25s
|-
|-
|65
|65
|38L 27s
| 38L 27s
|-
|-
|66
|66
|37L 29s
| 37L 29s
|-
|-
|67
|67
|36L 31s
| 36L 31s
|-
|-
|68
|68
|35L 33s
| 35L 33s
|-
|-
|69
|69
|34L 35s
| 34L 35s
|-
|-
|70
|70
|33L 37s
| 33L 37s
|-
|-
|71
|71
|32L 39s
| 32L 39s
|-
|-
|72
|72
|31L 41s
| 31L 41s
|-
|-
|73
|73
|30L 43s
| 30L 43s
|-
|-
|74
|74
|29L 45s
| 29L 45s
|-
|-
|75
|75
|28L 47s
| 28L 47s
|-
|-
|76
|76
|27L 49s
| 27L 49s
|-
|-
|77
|77
|26L 51s
| 26L 51s
|-
|-
|78
|78
|25L 53s
| 25L 53s
|-
|-
|79
|79
|24L 55s
| 24L 55s
|-
|-
|80
|80
|23L 57s
| 23L 57s
|-
|-
|81
|81
|22L 59s
| 22L 59s
|-
|-
|82
|82
|21L 61s
| 21L 61s
|}
 
===13-limit temperaments===
{| class="wikitable"
|+
! colspan="3" |Marvel and Benediction
! colspan="3" |Hemisecordite
|-
!Degree
!cents
!Difference from 72edo
!Degree
!cents
!Difference from 62edo
|-
|1
|11.6505
| -5.016¢
|2
|23.30097087
|3.946132164
|-
|3
|34.9515
|1.618¢
|3
|34.95145631
| -3.758221109
|-
|4
|46.602
| -3.398¢
|5
|58.252
|0.188¢
|-
|6
|69.903
|3.236¢
|7
|81.553
|4.134¢
|-
|7
|81.553
| -1.78¢
|8
|93.204
| -3.57¢
|-
|9
|104.854
|4.854¢
|10
|116.505
|0.376¢
|-
|10
|116.5045
| -0.162¢
|12
|139.806
|4.322¢
|-
|11
|128.155
| -5.178¢
|13
|151.456
| -3.382¢
|-
|13
|151.456¢
|1.456¢
|15
|174.757
|0.563¢
|-
|14
|163.107¢
| -3.56¢
|17
|198.058
|4.51¢
|-
|16
|186.408
|3.074¢
|18
|209.709
| -3.1945¢
|-
|17
|198.058
| -1.942¢
|20
|233.01
|0.751¢
|-
|19
|221.359
|4.693¢
|22
|256.311
|4.698¢
|-
|20
|233.01
| -0.324¢
|23
|267.961
| -3.007¢
|-
|21
|244.66
| -5.34¢
|25
|291.262
|0.94¢
|-
|23
|267.961
|1.2945¢
|27
|314.563
|4.886¢
|-
|24
|279.612
| -3.722¢
|28
|326.214
| -2.819¢
|-
|26
|302.913
|2.913¢
|30
|349.515
|1.1275¢
|-
|27
|314.563
| -2.104¢
|32
|372.8155
|5.074¢
|-
|29
|337.864
|4.531¢
|33
|384.466
| -2.631¢
|-
|30
|349.515
| -0.485¢
|35
|407.767
|1.315¢
|-
|31
|361.165
| -5.502¢
|37
|431.068
|5.2615¢
|-
|33
|384.466
|1.133¢
|38
|442.718
| -2.443¢
|-
|34
|396.1165
| -3.8835¢
|40
|466.0190
|1.503¢
|-
|36
|419.4175
|2.751¢
|42
|489.32
|5.449¢
|-
|37
|431.068
| -2.265¢
|43
|500.971
| -2.255¢
|-
|39
|454.369
|4.369¢
|45
|524.272
|1.691¢
|-
|40
|466.019
| -0.647¢
|47
|547.573
|5.637¢
|-
|41
|477.67
| -5.663¢
|48
|559.223
| -2.067¢
|-
|43
|500.971
|0.971¢
|50
|582.524
|1.879¢
|-
|44
|512.621¢
| -4.045¢
|52
|605.825
|5.825¢
|-
|46
|535.922¢
|2.589¢
|53
|617.476
| -1.879¢
|-
|47
|547.573¢
| -2.427¢
|55
|640.777¢
|2.067
|-
|49
|570.874¢
|4.207¢
|56
|652.427
| -5.637¢
|-
|50
|582.524
| -0.809¢
|58
|675.728
| -1.691
|-
|52
|605.825
|5.825¢
|60
|699.029
|2.255¢
|-
|53
|617.475
|0.809¢
|61
|710.68
| -5.449¢
|-
|54
|629.126¢
| -4.207¢
|63
|733.981
| -1.503¢
|-
|56
|652.427¢
|2.427¢
|65
|757.282
|2.443¢
|-
|57
|664.078
| -2.589¢
|66
|768.932
| -5.2615¢
|-
|59
|687.379
|4.045¢
|68
|792.233
| -1.315¢
|-
|60
|699.029
| -0.971¢
|70
|815.534
|2.631¢
|-
|62
|722.33
|5.663¢
|71
|827.1845
| -5.074¢
|-
|63
|733.981
|0.647¢
|73
|850.485
| -1.1275¢
|-
|64
|745.631
| -4.369¢
|75
|873.786
|2.819¢
|-
|66
|768.932
|2.265¢
|76
|885.437
| -4.886¢
|-
|67
|780.5825
| -2.751¢
|78
|908.738
| -0.94¢
|-
|69
|803.8835
|3.8835¢
|80
|932.039
|3.007¢
|-
|70
|815.534
| -1.133¢
|81
|943.689
| -4.698¢
|-
|72
|838.835
|5.501¢
|83
|966.99
| -0.752¢
|-
|73
|850.485
|0.485¢
|85
|990.291
|3.1945¢
|-
|74
|862.136
| -4.531¢
|86
|1001.942
| -4.51¢
|-
|76
|885.439
|2.104¢
|88
|1025.243
| -0.564¢
|-
|77
|897.087
| -2.913¢
|90
|1048.544
|3.382¢
|-
|79
|920.388
|3.722¢
|91
|1060.194
| -4.322¢
|-
|80
|932.039
| -1.2945¢
|93
|1083.495
| -0.376¢
|-
|82
|955.34
|5.34¢
|95
|1106.796
|3.57¢
|-
|83
|966.99
|0.324¢
|96
|1118.447¢
| -4.134¢
|-
|84
|978.641
| -4.693¢
|98
|1141.748
| -0.188¢
|-
|86
|1001.942
|1.942¢
|100
|1165.0485
|3.758¢
|-
|87
|1013.592
| -3.074¢
|101
|1176.699
| -3.946¢
|-
|89
|1036.893
|3.56¢
|
|
|
|-
|90
|1048.544
| -1.456¢
|
|
|
|-
|92
|1071.845
|5.178¢
|
|
|
|-
|93
|1083.495
|0.162¢
|
|
|
|-
|94
|1095.146
| -4.854¢
|
|
|
|-
|96
|1118.447
|1.78¢
|
|
|
|-
|97
|1130.097
| -3.236¢
|
|
|
|-
|99
|1153.398
|3.398¢
|
|
|
|-
|100
|1165.0485
| -1.618¢
|
|
|
|-
|102
|1188.3495
|5.016¢
|
|
|
|}
|}
[[Category:Benediction]]
[[Category:Benediction]]
Retrieved from "https://en.xen.wiki/w/103edo"