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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|124}}
{{ED intro}}


== Theory ==
== Theory ==
Line 8: Line 8:
{{Harmonics in equal|124|columns=12}}
{{Harmonics in equal|124|columns=12}}
{{Harmonics in equal|124|columns=12|start=13|collapsed=1|title=Approximation of odd harmonics in 124edo (continued)}}
{{Harmonics in equal|124|columns=12|start=13|collapsed=1|title=Approximation of odd harmonics in 124edo (continued)}}
=== No-3 approach ===
If prime 3 is ignored, 124edo represents the no-3 28-integer-limit consistently. 124edo is distinctly consistent within the no-3 26-integer-limit.


== Intervals ==
== Intervals ==
{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed center-5"
|+124 EDO Table of Intervals
|+ style="font-size: 105%; white-space: nowrap;" | Table of intervals in 124edo
!Step
!Cents
!Ratio
!JI Ratio Approximations
|-
|0
|0.0
|1.0
|'''<big><u>1/1</u></big>'''
|-
|1
|9.6774
|1.0056
|
|-
|2
|19.3548
|1.0112
|65/64
|-
|3
|29.0323
|1.0169
|<big>65/64</big>
|-
|4
|38.7097
|1.0226
|<small>65/64</small>, <small>33/32</small>
|-
|5
|48.3871
|1.0283
|33/32
|-
|6
|58.0645
|1.0341
|33/32, <small>24/23</small>
|-
|7
|67.7419
|1.0399
|24/23, <small>23/22</small>, <small>67/64</small>, <small>22/21</small>, <small>33/32</small>
|-
|8
|77.4194
|1.0457
|'''<big><u>23/22</u></big>''', '''<big>67/64</big>''', <big>22/21</big>, <big>24/23</big>, 21/20, <small>20/19</small>
|-
|9
|87.0968
|1.0516
|'''<big>20/19</big>''', <big>21/20</big>, 19/18, 22/21, 67/64, <small>23/22</small>, <small>18/17</small>, <small>24/23</small>
|-
|10
|96.7742
|1.0575
|<big>18/17</big>, <big>19/18</big>, 20/19, <small>17/16</small>, <small>21/20</small>, <small>16/15</small>
|-
|11
|106.4516
|1.0634
|'''<big>17/16</big>''', 16/15, 18/17, <small>19/18</small>, <small>15/14</small>
|-
|12
|116.129
|1.0694
|<big>15/14</big>, 16/15, <small>17/16</small>, <small>14/13</small>, <small>69/64</small>
|-
|13
|125.8065
|1.0754
|<big>14/13</big>, 69/64, 15/14, <small>13/12</small>, <small>16/15</small>
|-
|14
|135.4839
|1.0814
|<big>13/12</big>, 69/64, 14/13, <small>25/23</small>, <small>12/11</small>
|-
|15
|145.1613
|1.0875
|'''<big><u>25/23</u></big>''', 12/11, 13/12, <small>35/32</small>, <small>23/21</small>, <small>69/64</small>
|-
|16
|154.8387
|1.0936
|'''<big><u>35/32</u></big>''', <big>23/21</big>, 12/11, <small>11/10</small>, <small>25/23</small>
|-
|17
|164.5161
|1.0997
|'''<big><u>11/10</u></big>''', 23/21, <small>21/19</small>, <small>35/32</small>, <small>12/11</small>, <small>71/64</small>
|-
|18
|174.1935
|1.1059
|'''<big><u>21/19</u></big>''', 71/64, <small>10/9</small>, <small>11/10</small>
|-
|19
|183.871
|1.1121
|'''<big>10/9</big>''', 71/64, <small>19/17</small>, <small>21/19</small>
|-
|20
|193.5484
|1.1183
|'''<big><u>19/17</u></big>''', <small>9/8</small>, <small>10/9</small>, <small>71/64</small>
|-
|21
|203.2258
|1.1246
|'''<big><u>9/8</u></big>''', <small>26/23</small>, <small>19/17</small>, <small>17/15</small>
|-
|22
|212.9032
|1.1309
|'''<big><u>26/23</u></big>''', <big>17/15</big>, <small>25/22</small>, <small>9/8</small>, <small>73/64</small>
|-
|23
|222.5806
|1.1372
|'''<big>25/22</big>''', 73/64, 17/15, <small>8/7</small>, <small>26/23</small>
|-
|24
|232.2581
|1.1436
|'''<big>8/7</big>''', 73/64, <small>23/20</small>, <small>25/22</small>, <small>15/13</small>, <small>17/15</small>
|-
|25
|241.9355
|1.15
|'''<big><u>23/20</u></big>''', 15/13, <small>37/32</small>, <small>8/7</small>, <small>22/19</small>, <small>73/64</small>
|-
|26
|251.6129
|1.1564
|'''<big><u>37/32</u></big>''', <big>22/19</big>, <big>15/13</big>, <small>23/20</small>, <small>7/6</small>
|-
|27
|261.2903
|1.1629
|7/6, 22/19, <small>37/32</small>, <small>75/64</small>, <small>15/13</small>
|-
|28
|270.9677
|1.1694
|<big>75/64</big>, 7/6, 27/23, <small>20/17</small>
|-
|29
|280.6452
|1.176
|'''<big><u>20/17</u></big>''', <big>27/23</big>, 75/64, <small>13/11</small>, <small>7/6</small>
|-
|30
|290.3226
|1.1826
|'''<big>13/11</big>''', 19/16, <small>20/17</small>, <small>25/21</small>, <small>27/23</small>, <small>75/64</small>
|-
|31
|300.0
|1.1892
|'''<big>25/21</big>''', <big>19/16</big>, <small>13/11</small>, <small>6/5</small>
|-
|32
|309.6774
|1.1959
|6/5, 25/21, <small>77/64</small>, <small>19/16</small>
|-
|33
|319.3548
|1.2026
|'''<big><u>77/64</u></big>''', <big>6/5</big>, <small>23/19</small>
|-
|34
|329.0323
|1.2093
|'''<big>23/19</big>''', 17/14, <small>77/64</small>, <small>28/23</small>, <small>6/5</small>, <small>39/32</small>
|-
|35
|338.7097
|1.2161
|'''<big>28/23</big>''', <big>17/14</big>, <big>39/32</big>, 23/19, <small>11/9</small>, <small>27/22</small>
|-
|36
|348.3871
|1.2229
|'''<big><u>11/9</u></big>''', 39/32, 27/22, 28/23, <small>16/13</small>, <small>17/14</small>
|-
|37
|358.0645
|1.2298
|'''<big>16/13</big>''', <big>27/22</big>, 79/64, 21/17, <small>11/9</small>, <small>26/21</small>, <small>39/32</small>
|-
|38
|367.7419
|1.2367
|'''<big>21/17</big>''', <big>26/21</big>, <big>79/64</big>, <small>16/13</small>, <small>27/22</small>
|-
|39
|377.4194
|1.2436
|26/21, <small>5/4</small>, <small>21/17</small>, <small>79/64</small>
|-
|40
|387.0968
|1.2506
|'''<big><u>5/4</u></big>'''
|-
|41
|396.7742
|1.2576
|24/19, <small>5/4</small>, <small>81/64</small>, <small>19/15</small>
|-
|42
|406.4516
|1.2646
|'''<big>81/64</big>''', <big>24/19</big>, <big>19/15</big>, <small>14/11</small>
|-
|43
|416.129
|1.2717
|'''<big>14/11</big>''', 19/15, <small>23/18</small>, <small>81/64</small>, <small>24/19</small>, <small>41/32</small>
|-
|44
|425.8065
|1.2788
|'''<big>23/18</big>''', <big>41/32</big>, <small>14/11</small>, <small>9/7</small>
|-
|45
|435.4839
|1.286
|'''<big><u>9/7</u></big>''', 41/32, <small>22/17</small>, <small>23/18</small>, <small>83/64</small>
|-
|46
|445.1613
|1.2932
|'''<big>22/17</big>''', 83/64, <small>13/10</small>, <small>9/7</small>, <small>30/23</small>
|-
|47
|454.8387
|1.3005
|'''<big><u>13/10</u></big>''', 83/64, 30/23, <small>22/17</small>, <small>17/13</small>, <small>21/16</small>
|-
|48
|464.5161
|1.3078
|'''<big><u>17/13</u></big>''', 30/23, 21/16, <small>13/10</small>, <small>25/19</small>, <small>83/64</small>
|-
|49
|474.1935
|1.3151
|'''<big><u>25/19</u></big>''', <big>21/16</big>, <small>17/13</small>, <small>30/23</small>
|-
|50
|483.871
|1.3225
|85/64, <small>25/19</small>, <small>21/16</small>, <small>4/3</small>
|-
|-
|51
! Step
|493.5484
! Cents
|1.3299
! Ratio
|<big>85/64</big>, 4/3
! JI ratio approximations
|-
! Ups and downs notation<br />[[val]] {{val|124 196}} (124b)
|52
|503.2258
|1.3373
|4/3, <small>43/32</small>, <small>85/64</small>
|-
|53
|512.9032
|1.3448
|'''<big>43/32</big>''', 27/20, <small>23/17</small>, <small>4/3</small>, <small>19/14</small>
|-
|54
|522.5806
|1.3524
|'''<big><u>23/17</u></big>''', <big>27/20</big>, 19/14, <small>87/64</small>, <small>43/32</small>, <small>15/11</small>
|-
|55
|532.2581
|1.3599
|'''<big><u>87/64</u></big>''', <big>19/14</big>, 15/11, <small>23/17</small>, <small>26/19</small>, <small>27/20</small>
|-
|56
|541.9355
|1.3676
|'''<big>26/19</big>''', 15/11, <small>11/8</small>, <small>87/64</small>, <small>19/14</small>
|-
|57
|551.6129
|1.3752
|'''<big><u>11/8</u></big>''', <small>26/19</small>, <small>18/13</small>, <small>15/11</small>
|-
|58
|561.2903
|1.3829
|<big>18/13</big>, 25/18, <small>89/64</small>, <small>11/8</small>, <small>32/23</small>
|-
|59
|570.9677
|1.3907
|'''<big><u>89/64</u></big>''', '''<big><u>32/23</u></big>''', <big>25/18</big>, 18/13, <small>7/5</small>
|-
|60
|580.6452
|1.3985
|'''<big>7/5</big>''', <small>32/23</small>, <small>45/32</small>, <small>89/64</small>, <small>25/18</small>
|-
|61
|590.3226
|1.4063
|'''<big><u>45/32</u></big>''', 24/17, 7/5, <small>17/12</small>
|-
|62
|600.0
|1.4142
|<big>17/12</big>, <big>24/17</big>, <small>27/19</small>, <small>91/64</small>, <small>45/32</small>
|-
|63
|609.6774
|1.4221
|'''<big><u>91/64</u></big>''', '''<big>27/19</big>''', 17/12, 10/7, <small>24/17</small>, <small>33/23</small>
|-
|64
|619.3548
|1.4301
|'''<big>10/7</big>''', 33/23, <small>23/16</small>, <small>91/64</small>, <small>27/19</small>
|-
|65
|629.0323
|1.4381
|'''<big><u>23/16</u></big>''', 33/23, 13/9, <small>10/7</small>
|-
|66
|638.7097
|1.4462
|<big>13/9</big>, <small>93/64</small>, <small>16/11</small>, <small>23/16</small>, <small>33/23</small>
|-
|67
|648.3871
|1.4543
|'''<big><u>16/11</u></big>''', '''<big>93/64</big>''', <small>19/13</small>, <small>13/9</small>, <small>22/15</small>
|-
|68
|658.0645
|1.4624
|'''<big>19/13</big>''', 22/15, 47/32, <small>16/11</small>, <small>25/17</small>, <small>93/64</small>, <small>28/19</small>
|-
|69
|667.7419
|1.4706
|'''<big><u>25/17</u></big>''', <big>47/32</big>, <big>28/19</big>, 22/15, <small>34/23</small>, <small>19/13</small>
|-
|70
|677.4194
|1.4789
|'''<big><u>34/23</u></big>''', 28/19, 95/64, <small>25/17</small>, <small>47/32</small>, <small>22/15</small>
|-
|71
|687.0968
|1.4872
|<big>95/64</big>, <small>34/23</small>, <small>3/2</small>, <small>28/19</small>
|-
|72
|696.7742
|1.4955
|3/2, <small>95/64</small>
|-
|73
|706.4516
|1.5039
|3/2, <small>97/64</small>
|-
|74
|716.129
|1.5123
|<big>97/64</big>, <small>35/23</small>, <small>32/21</small>, <small>3/2</small>
|-
|75
|725.8065
|1.5208
|'''<big>35/23</big>''', <big>32/21</big>, 97/64, <small>26/17</small>, <small>49/32</small>, <small>23/15</small>
|-
|76
|735.4839
|1.5293
|'''<big><u>26/17</u></big>''', <big>49/32</big>, 23/15, 32/21, <small>35/23</small>, <small>20/13</small>, <small>97/64</small>
|-
|77
|745.1613
|1.5379
|'''<big><u>20/13</u></big>''', 23/15, 49/32, <small>17/11</small>, <small>26/17</small>, <small>99/64</small>, <small>32/21</small>
|-
|78
|754.8387
|1.5465
|'''<big><u>99/64</u></big>''', '''<big>17/11</big>''', <small>20/13</small>, <small>14/9</small>, <small>23/15</small>
|-
|79
|764.5161
|1.5552
|'''<big><u>14/9</u></big>''', <small>25/16</small>, <small>99/64</small>, <small>17/11</small>, <small>36/23</small>
|-
|80
|774.1935
|1.5639
|'''<big>36/23</big>''', '''<big>25/16</big>''', <small>11/7</small>, <small>14/9</small>, <small>101/64</small>
|-
|81
|783.871
|1.5727
|'''<big>11/7</big>''', 101/64, 30/19, <small>36/23</small>, <small>25/16</small>, <small>19/12</small>
|-
|82
|793.5484
|1.5815
|<big>19/12</big>, <big>30/19</big>, <big>101/64</big>, 27/17, <small>35/22</small>, <small>11/7</small>, <small>51/32</small>
|-
|83
|803.2258
|1.5904
|'''<big><u>35/22</u></big>''', <big>27/17</big>, <big>51/32</big>, 19/12, <small>8/5</small>, <small>30/19</small>, <small>101/64</small>
|-
|84
|812.9032
|1.5993
|'''<big><u>8/5</u></big>''', 51/32, <small>35/22</small>, <small>103/64</small>, <small>27/17</small>
|-
|85
|822.5806
|1.6082
|'''<big>103/64</big>''', 21/13, <small>8/5</small>, <small>34/21</small>, <small>51/32</small>
|-
|86
|832.2581
|1.6173
|'''<big>34/21</big>''', <big>21/13</big>, <small>13/8</small>, <small>103/64</small>
|-
|87
|841.9355
|1.6263
|'''<big>13/8</big>''', 34/21, <small>18/11</small>, <small>21/13</small>, <small>105/64</small>
|-
|88
|851.6129
|1.6354
|'''<big><u>18/11</u></big>''', 105/64, 23/14, <small>13/8</small>, <small>28/17</small>, <small>33/20</small>
|-
|89
|861.2903
|1.6446
|'''<big>23/14</big>''', <big>28/17</big>, 105/64, 33/20, 38/23, <small>18/11</small>, <small>53/32</small>
|-
|90
|870.9677
|1.6538
|'''<big>38/23</big>''', <big>53/32</big>, 33/20, 28/17, <small>23/14</small>, <small>5/3</small>, <small>105/64</small>
|-
|91
|880.6452
|1.6631
|<big>5/3</big>, 53/32, <small>107/64</small>, <small>38/23</small>, <small>33/20</small>
|-
|92
|890.3226
|1.6724
|'''<big><u>107/64</u></big>''', 5/3, <small>32/19</small>, <small>27/16</small>
|-
|93
|900.0
|1.6818
|<big>32/19</big>, 27/16, <small>107/64</small>, <small>22/13</small>, <small>39/23</small>, <small>5/3</small>
|-
|94
|909.6774
|1.6912
|'''<big>22/13</big>''', <big>27/16</big>, 39/23, 32/19, <small>17/10</small>, <small>109/64</small>
|-
|95
|919.3548
|1.7007
|'''<big><u>17/10</u></big>''', <big>109/64</big>, 39/23, <small>22/13</small>, <small>27/16</small>, <small>12/7</small>
|-
|96
|929.0323
|1.7102
|12/7, 109/64, <small>55/32</small>, <small>17/10</small>, <small>39/23</small>
|-
|97
|938.7097
|1.7198
|'''<big>55/32</big>''', 12/7, 19/11, <small>26/15</small>, <small>111/64</small>
|-
|98
|948.3871
|1.7295
|<big>19/11</big>, <big>26/15</big>, 111/64, 33/19, <small>40/23</small>, <small>55/32</small>, <small>12/7</small>
|-
|99
|958.0645
|1.7392
|'''<big><u>40/23</u></big>''', <big>33/19</big>, 111/64, 26/15, <small>7/4</small>, <small>19/11</small>
|-
|100
|967.7419
|1.7489
|'''<big>7/4</big>''', <small>40/23</small>, <small>33/19</small>, <small>111/64</small>, <small>26/15</small>, <small>30/17</small>
|-
|101
|977.4194
|1.7587
|30/17, 113/64, <small>7/4</small>, <small>23/13</small>, <small>39/22</small>
|-
|102
|987.0968
|1.7686
|'''<big><u>23/13</u></big>''', <big>113/64</big>, <big>30/17</big>, 39/22, <small>16/9</small>, <small>57/32</small>
|-
|103
|996.7742
|1.7785
|'''<big><u>16/9</u></big>''', <big>57/32</big>, 39/22, 25/14, <small>23/13</small>, <small>34/19</small>, <small>113/64</small>, <small>30/17</small>
|-
|104
|1006.4516
|1.7884
|'''<big><u>34/19</u></big>''', <big>25/14</big>, 57/32, <small>115/64</small>, <small>16/9</small>, <small>9/5</small>, <small>39/22</small>
|-
|105
|1016.129
|1.7985
|'''<big>9/5</big>''', '''<big>115/64</big>''', <small>34/19</small>, <small>38/21</small>, <small>25/14</small>, <small>29/16</small>
|-
|106
|1025.8065
|1.8086
|'''<big><u>38/21</u></big>''', <big>29/16</big>, <small>9/5</small>, <small>20/11</small>, <small>115/64</small>
|-
|107
|1035.4839
|1.8187
|'''<big><u>20/11</u></big>''', 29/16, 42/23, <small>38/21</small>, <small>117/64</small>, <small>11/6</small>
|-
|108
|1045.1613
|1.8289
|'''<big><u>117/64</u></big>''', <big>42/23</big>, 11/6, <small>20/11</small>, <small>35/19</small>, <small>59/32</small>, <small>29/16</small>
|-
|109
|1054.8387
|1.8391
|<big>35/19</big>, 59/32, 11/6, 24/13, <small>117/64</small>, <small>42/23</small>
|-
|110
|1064.5161
|1.8495
|<big>24/13</big>, 59/32, 35/19, 13/7, <small>119/64</small>, <small>11/6</small>
|-
|111
|1074.1935
|1.8598
|'''<big><u>119/64</u></big>''', <big>13/7</big>, 28/15, <small>24/13</small>, <small>15/8</small>, <small>59/32</small>
|-
|112
|1083.871
|1.8702
|<big>28/15</big>, 15/8, <small>119/64</small>, <small>32/17</small>, <small>13/7</small>
|-
|113
|1093.5484
|1.8807
|'''<big>32/17</big>''', 15/8, 17/9, <small>121/64</small>, <small>36/19</small>, <small>28/15</small>
|-
|114
|1103.2258
|1.8913
|'''<big><u>121/64</u></big>''', <big>17/9</big>, <big>36/19</big>, 19/10, <small>32/17</small>, <small>40/21</small>, <small>61/32</small>, <small>15/8</small>
|-
|115
|1112.9032
|1.9019
|'''<big>19/10</big>''', <big>40/21</big>, <big>61/32</big>, 36/19, 21/11, <small>44/23</small>, <small>121/64</small>, <small>17/9</small>, <small>23/12</small>
|-
|116
|1122.5806
|1.9125
|'''<big><u>44/23</u></big>''', <big>21/11</big>, <big>23/12</big>, 61/32, 40/21, <small>123/64</small>, <small>25/13</small>, <small>19/10</small>, <small>27/14</small>
|-
|117
|1132.2581
|1.9233
|'''<big><u>25/13</u></big>''', '''<big>123/64</big>''', 27/14, 23/12, <small>44/23</small>, <small>31/16</small>, <small>21/11</small>, <small>61/32</small>
|-
|118
|1141.9355
|1.934
|<big>31/16</big>, 27/14, 33/17, <small>35/18</small>, <small>25/13</small>, <small>123/64</small>, <small>39/20</small>, <small>23/12</small>
|-
|119
|1151.6129
|1.9449
|'''<big><u>35/18</u></big>''', <big>33/17</big>, 39/20, 31/16, 125/64, <small>45/23</small>, <small>27/14</small>
|-
|120
|1161.2903
|1.9558
|'''<big><u>45/23</u></big>''', <big>125/64</big>, 39/20, <small>35/18</small>, <small>63/32</small>, <small>33/17</small>
|-
|121
|1170.9677
|1.9667
|'''<big>63/32</big>''', <small>45/23</small>, <small>125/64</small>, <small>39/20</small>, <small>127/64</small>
|-
|122
|1180.6452
|1.9778
|127/64, 63/32
|-
|123
|1190.3226
|1.9889
|<big>127/64</big>
|-
|124
|1200.0
|2.0
|'''<big><u>2/1</u></big>'''
|-
|colspan="4"|
JI Ratio Approximations are comprised of 23 limit ratios and the odd harmonics up to 127.<br>
The JI Ratio Approximations are stylized as follows to indicate accuracy:
* '''<big><u>Big Bold Underlined:</u></big>''' absolute cent error < 1 cent.
* <big>'''Big Bold:'''</big> absolute cent error < 2 cents.
* <big>Big:</big> absolute cent error < 4 cents.
* Normal: absolute cent error < 8 cents.
* <small>Small:</small> absolute cent error < 16 cents.
|}
 
 
== Intervals ==
{| class="wikitable mw-collapsible mw-collapsed"
|+124 EDO Table of Intervals
!Step
!Cents
!Ratio
!JI Ratio Approximations
!Step
|-
|-
| 0
| 0
| 0.000
| 0.0
|  
| 1.0
| '''<big><u>1/1</u></big>'''
| P1
| P1
| 0
|-
|-
| 1
| 1
| 9.677
| 9.6774
| 1.0056
|  
|  
| ^1
| ^1
| 1
|-
|-
| 2
| 2
| 19.355
| 19.3548
|  
| 1.0112
| 65/64
| ^^1
| ^^1
| 2
|-
|-
| 3
| 3
| 29.032
| 29.0323
|  
| 1.0169
| <big>65/64</big>
| ^^^1
| ^^^1
| 3
|-
|-
| 4
| 4
| 38.710
| 38.7097
|  
| 1.0226
| <small>65/64</small>, <small>33/32</small>
| ^<sup>4</sup>1
| ^<sup>4</sup>1
| 4
|-
|-
| 5
| 5
| 48.387
| 48.3871
|  
| 1.0283
| 33/32
| vvvA1
| vvvA1
| 5
|-
|-
| 6
| 6
| 58.065
| 58.0645
| <small>[[32/31]]</small>, '''[[31/30]]''', '''<u>[[30/29]]'''</u>, <small>[[29/28]]</small>
| 1.0341
| 33/32, <small>24/23</small>
| vvA1, ^^d2
| vvA1, ^^d2
| 6
|-
|-
| 7
| 7
| 67.742
| 67.7419
| <small><small><small>[[28/27]]</small></small></small>, [[27/26]], '''<u>[[26/25]]'''</u>, <small>[[25/24]]</small>
| 1.0399
| 24/23, <small>23/22</small>, <small>67/64</small>, <small>22/21</small>, <small>33/32</small>
| ^^^d2
| ^^^d2
| 7
|-
|-
| 8
| 8
| 77.419
| 77.4194
| <small><small>[[24/23]]</small></small>, '''<u>[[23/22]]'''</u>, <small>[[22/21]]</small>
| 1.0457
| '''<big><u>23/22</u></big>''', '''<big>67/64</big>''', <big>22/21</big>, <big>24/23</big>, 21/20, <small>20/19</small>
| v<sup>4</sup>m2
| v<sup>4</sup>m2
| 8
|-
|-
| 9
| 9
| 87.097
| 87.0968
| <small>[[21/20]]</small>, [[20/19]]
| 1.0516
| '''<big>20/19</big>''', <big>21/20</big>, 19/18, 22/21, 67/64, <small>23/22</small>, <small>18/17</small>, <small>24/23</small>
| vvvm2
| vvvm2
| 9
|-
|-
| 10
| 10
| 96.774
| 96.7742
| <small>[[19/18]]</small>, [[18/17]]
| 1.0575
| <big>18/17</big>, <big>19/18</big>, 20/19, <small>17/16</small>, <small>21/20</small>, <small>16/15</small>
| vvm2
| vvm2
| 10
|-
|-
| 11
| 11
| 106.452
| 106.4516
| '''[[17/16]]'''
| 1.0634
| '''<big>17/16</big>''', 16/15, 18/17, <small>19/18</small>, <small>15/14</small>
| vm2
| vm2
| 11
|-
|-
| 12
| 12
| 116.129
| 116.129
| <small><small><small>[[16/15]]</small></small></small>, '''<u>[[31/29]]'''</u>, <small><small>[[15/14]]</small></small>
| 1.0694
| <big>15/14</big>, 16/15, <small>17/16</small>, <small>14/13</small>, <small>69/64</small>
| m2
| m2
| 12
|-
|-
| 13
| 13
| 125.806
| 125.8065
| [[29/27]], <small>[[14/13]]</small>
| 1.0754
| <big>14/13</big>, 69/64, 15/14, <small>13/12</small>, <small>16/15</small>
| ^m2
| ^m2
| 13
|-
|-
| 14
| 14
| 135.484
| 135.4839
| [[27/25]], <small>[[13/12]]</small>
| 1.0814
| <big>13/12</big>, 69/64, 14/13, <small>25/23</small>, <small>12/11</small>
| ^^m2
| ^^m2
| 14
|-
|-
| 15
| 15
| 145.161
| 145.1613
| '''[[25/23]]'''
| 1.0875
| '''<big><u>25/23</u></big>''', 12/11, 13/12, <small>35/32</small>, <small>23/21</small>, <small>69/64</small>
| ^^^m2
| ^^^m2
| 15
|-
|-
| 16
| 16
| 154.839
| 154.8387
| <small><small><small>[[12/11]]</small></small></small>, <small>[[23/21]]</small>
| 1.0936
| '''<big><u>35/32</u></big>''', <big>23/21</big>, 12/11, <small>11/10</small>, <small>25/23</small>
| ~2
| ~2
| 16
|-
|-
| 17
| 17
| 164.516
| 164.5161
| '''<u>[[11/10]]'''</u>
| 1.0997
| '''<big><u>11/10</u></big>''', 23/21, <small>21/19</small>, <small>35/32</small>, <small>12/11</small>, <small>71/64</small>
| vvvM2
| vvvM2
| 17
|-
|-
| 18
| 18
| 174.194
| 174.1935
| <small><small>[[32/29]]</small></small>, '''[[21/19]]''', [[31/28]]
| 1.1059
| '''<big><u>21/19</u></big>''', 71/64, <small>10/9</small>, <small>11/10</small>
| vvM2
| vvM2
| 18
|-
|-
| 19
| 19
| 183.871
| 183.871
| '''[[10/9]]'''
| 1.1121
| '''<big>10/9</big>''', 71/64, <small>19/17</small>, <small>21/19</small>
| vM2
| vM2
| 19
|-
|-
| 20
| 20
| 193.548
| 193.5484
| <small><small><small>[[29/26]]</small></small></small>, '''[[19/17]]''', <small>[[28/25]]</small>
| 1.1183
| '''<big><u>19/17</u></big>''', <small>9/8</small>, <small>10/9</small>, <small>71/64</small>
| M2
| M2
| 20
|-
|-
| 21
| 21
| 203.226
| 203.2258
| '''<u>[[9/8]]'''</u>
| 1.1246
| '''<big><u>9/8</u></big>''', <small>26/23</small>, <small>19/17</small>, <small>17/15</small>
| ^M2
| ^M2
| 21
|-
|-
| 22
| 22
| 212.903
| 212.9032
| '''<u>[[26/23]]'''</u>, <small><small>[[17/15]]</small></small>
| 1.1309
| '''<big><u>26/23</u></big>''', <big>17/15</big>, <small>25/22</small>, <small>9/8</small>, <small>73/64</small>
| ^^M2
| ^^M2
| 22
|-
|-
| 23
| 23
| 222.581
| 222.5806
| '''[[25/22]]'''
| 1.1372
| '''<big>25/22</big>''', 73/64, 17/15, <small>8/7</small>, <small>26/23</small>
| ^^^M2
| ^^^M2
| 23
|-
|-
| 24
| 24
| 232.258
| 232.2581
| '''[[8/7]]'''
| 1.1436
| '''<big>8/7</big>''', 73/64, <small>23/20</small>, <small>25/22</small>, <small>15/13</small>, <small>17/15</small>
| ^<sup>4</sup>M2
| ^<sup>4</sup>M2
| 24
|-
|-
| 25
| 25
| 241.935
| 241.9355
| <small>[[31/27]]</small>, '''<u>[[23/20]]'''</u>
| 1.15
| '''<big><u>23/20</u></big>''', 15/13, <small>37/32</small>, <small>8/7</small>, <small>22/19</small>, <small>73/64</small>
| vvvA2
| vvvA2
| 25
|-
|-
| 26
| 26
| 251.613
| 251.6129
| <small><small>[[15/13]]</small></small>, [[22/19]]
| 1.1564
| '''<big><u>37/32</u></big>''', <big>22/19</big>, <big>15/13</big>, <small>23/20</small>, <small>7/6</small>
| vvA2, ^^d3
| vvA2, ^^d3
| 26
|-
|-
| 27
| 27
| 261.290
| 261.2903
| <small><small><small>[[29/25]]</small></small></small>
| 1.1629
| 7/6, 22/19, <small>37/32</small>, <small>75/64</small>, <small>15/13</small>
| ^^^d3
| ^^^d3
| 27
|-
|-
| 28
| 28
| 270.968
| 270.9677
| <small><small><small>[[7/6]]</small></small></small>
| 1.1694
| <big>75/64</big>, 7/6, 27/23, <small>20/17</small>
| v<sup>4</sup>m3
| v<sup>4</sup>m3
| 28
|-
|-
| 29
| 29
| 280.645
| 280.6452
| <small>[[27/23]]</small>, '''<u>[[20/17]]'''</u>
| 1.176
| '''<big><u>20/17</u></big>''', <big>27/23</big>, 75/64, <small>13/11</small>, <small>7/6</small>
| vvvm3
| vvvm3
| 29
|-
|-
| 30
| 30
| 290.323
| 290.3226
| '''[[13/11]]''', <small><small>[[32/27]]</small></small>
| 1.1826
| '''<big>13/11</big>''', 19/16, <small>20/17</small>, <small>25/21</small>, <small>27/23</small>, <small>75/64</small>
| vvm3
| vvm3
| 30
|-
|-
| 31
| 31
| 300.000
| 300.0
| <small>[[19/16]]</small>, [[25/21]], <small><small><small>[[31/26]]</small></small></small>
| 1.1892
| '''<big>25/21</big>''', <big>19/16</big>, <small>13/11</small>, <small>6/5</small>
| vm3
| vm3
| 31
|-
|-
| 32
| 32
| 309.677
| 309.6774
|  
| 1.1959
| 6/5, 25/21, <small>77/64</small>, <small>19/16</small>
| m3
| m3
| 32
|-
|-
| 33
| 33
| 319.355
| 319.3548
| <small><small>[[6/5]]</small></small>
| 1.2026
| '''<big><u>77/64</u></big>''', <big>6/5</big>, <small>23/19</small>
| ^m3
| ^m3
| 33
|-
|-
| 34
| 34
| 329.032
| 329.0323
| '''[[29/24]]''', [[23/19]]
| 1.2093
| '''<big>23/19</big>''', 17/14, <small>77/64</small>, <small>28/23</small>, <small>6/5</small>, <small>39/32</small>
| ^^m3
| ^^m3
| 34
|-
|-
| 35
| 35
| 338.710
| 338.7097
| <small>[[17/14]]</small>, [[28/23]]
| 1.2161
| '''<big>28/23</big>''', <big>17/14</big>, <big>39/32</big>, 23/19, <small>11/9</small>, <small>27/22</small>
| ^^^m3
| ^^^m3
| 35
|-
|-
| 36
| 36
| 348.387
| 348.3871
| '''[[11/9]]'''
| 1.2229
| '''<big><u>11/9</u></big>''', 39/32, 27/22, 28/23, <small>16/13</small>, <small>17/14</small>
| ~3
| ~3
| 36
|-
|-
| 37
| 37
| 358.065
| 358.0645
| <small><small>[[27/22]]</small></small>, '''[[16/13]]'''
| 1.2298
| '''<big>16/13</big>''', <big>27/22</big>, 79/64, 21/17, <small>11/9</small>, <small>26/21</small>, <small>39/32</small>
| vvvM3
| vvvM3
| 37
|-
|-
| 38
| 38
| 367.742
| 367.7419
| [[21/17]], [[26/21]], <small><small><small>[[31/25]]</small></small></small>
| 1.2367
| '''<big>21/17</big>''', <big>26/21</big>, <big>79/64</big>, <small>16/13</small>, <small>27/22</small>
| vvM3
| vvM3
| 38
|-
|-
| 39
| 39
| 377.419
| 377.4194
|  
| 1.2436
| 26/21, <small>5/4</small>, <small>21/17</small>, <small>79/64</small>
| vM3
| vM3
| 39
|-
|-
| 40
| 40
| 387.097
| 387.0968
| '''<u>[[5/4]]'''</u>
| 1.2506
| '''<big><u>5/4</u></big>'''
| M3
| M3
| 40
|-
|-
| 41
| 41
| 396.774
| 396.7742
| <small><small><small>[[29/23]]</small></small></small>
| 1.2576
| 24/19, <small>5/4</small>, <small>81/64</small>, <small>19/15</small>
| ^M3
| ^M3
| 41
|-
|-
| 42
| 42
| 406.452
| 406.4516
| [[24/19]], <small>[[19/15]]</small>
| 1.2646
| '''<big>81/64</big>''', <big>24/19</big>, <big>19/15</big>, <small>14/11</small>
| ^^M3
| ^^M3
| 42
|-
|-
| 43
| 43
| 416.129
| 416.129
| '''[[14/11]]'''
| 1.2717
| '''<big>14/11</big>''', 19/15, <small>23/18</small>, <small>81/64</small>, <small>24/19</small>, <small>41/32</small>
| ^^^M3
| ^^^M3
| 43
|-
|-
| 44
| 44
| 425.806
| 425.8065
| '''[[23/18]]''', '''[[32/25]]'''
| 1.2788
| '''<big>23/18</big>''', <big>41/32</big>, <small>14/11</small>, <small>9/7</small>
| ^<sup>4</sup>M3
| ^<sup>4</sup>M3
| 44
|-
|-
| 45
| 45
| 435.484
| 435.4839
| '''<u>[[9/7]]'''</u>
| 1.286
| '''<big><u>9/7</u></big>''', 41/32, <small>22/17</small>, <small>23/18</small>, <small>83/64</small>
| vvvA3
| vvvA3
| 45
|-
|-
| 46
| 46
| 445.161
| 445.1613
| [[31/24]], '''[[22/17]]'''
| 1.2932
| '''<big>22/17</big>''', 83/64, <small>13/10</small>, <small>9/7</small>, <small>30/23</small>
| vvA3, ^^d4
| vvA3, ^^d4
| 46
|-
|-
| 47
| 47
| 454.839
| 454.8387
| '''<u>[[13/10]]'''</u>
| 1.3005
| '''<big><u>13/10</u></big>''', 83/64, 30/23, <small>22/17</small>, <small>17/13</small>, <small>21/16</small>
| ^^^d4
| ^^^d4
| 47
|-
|-
| 48
| 48
| 464.516
| 464.5161
| <small><small><small>[[30/23]]</small></small></small>, '''<u>[[17/13]]'''</u>
| 1.3078
| '''<big><u>17/13</u></big>''', 30/23, 21/16, <small>13/10</small>, <small>25/19</small>, <small>83/64</small>
| v<sup>4</sup>4
| v<sup>4</sup>4
| 48
|-
|-
| 49
| 49
| 474.194
| 474.1935
| <small><small>[[21/16]]</small></small>, '''[[25/19]]''', <small><small><small>[[29/22]]</small></small></small>
| 1.3151
| '''<big><u>25/19</u></big>''', <big>21/16</big>, <small>17/13</small>, <small>30/23</small>
| vvv4
| vvv4
| 49
|-
|-
| 50
| 50
| 483.871
| 483.871
|  
| 1.3225
| 85/64, <small>25/19</small>, <small>21/16</small>, <small>4/3</small>
| vv4
| vv4
| 50
|-
|-
| 51
| 51
| 493.548
| 493.5484
| <small><small><small>[[4/3]]</small></small></small>
| 1.3299
| <big>85/64</big>, 4/3
| v4
| v4
| 51
|-
|-
| 52
| 52
| 503.226
| 503.2258
|  
| 1.3373
| 4/3, <small>43/32</small>, <small>85/64</small>
| P4
| P4
| 52
|-
|-
| 53
| 53
| 512.903
| 512.9032
| <small><small>[[31/23]]</small></small>
| 1.3448
| '''<big>43/32</big>''', 27/20, <small>23/17</small>, <small>4/3</small>, <small>19/14</small>
| ^4
| ^4
| 53
|-
|-
| 54
| 54
| 522.581
| 522.5806
| <small>[[27/20]]</small>, '''<u>[[23/17]]'''</u>
| 1.3524
| '''<big><u>23/17</u></big>''', <big>27/20</big>, 19/14, <small>87/64</small>, <small>43/32</small>, <small>15/11</small>
| ^^4
| ^^4
| 54
|-
|-
| 55
| 55
| 532.258
| 532.2581
| <small><small>[[19/14]]</small></small>, <small><small><small>[[15/11]]</small></small></small>
| 1.3599
| '''<big><u>87/64</u></big>''', <big>19/14</big>, 15/11, <small>23/17</small>, <small>26/19</small>, <small>27/20</small>
| ^^^4
| ^^^4
| 55
|-
|-
| 56
| 56
| 541.935
| 541.9355
| '''[[26/19]]'''
| 1.3676
| '''<big>26/19</big>''', 15/11, <small>11/8</small>, <small>87/64</small>, <small>19/14</small>
| ~4
| ~4
| 56
|-
|-
| 57
| 57
| 551.613
| 551.6129
| '''<u>[[11/8]]'''</u>
| 1.3752
| '''<big><u>11/8</u></big>''', <small>26/19</small>, <small>18/13</small>, <small>15/11</small>
| vvvA4
| vvvA4
| 57
|-
|-
| 58
| 58
| 561.290
| 561.2903
| <small>[[29/21]]</small>, [[18/13]]
| 1.3829
| <big>18/13</big>, 25/18, <small>89/64</small>, <small>11/8</small>, <small>32/23</small>
| vvA4
| vvA4
| 58
|-
|-
| 59
| 59
| 570.968
| 570.9677
| [[25/18]], '''<u>[[32/23]]'''</u>
| 1.3907
| '''<big><u>89/64</u></big>''', '''<big><u>32/23</u></big>''', <big>25/18</big>, 18/13, <small>7/5</small>
| vA4
| vA4
| 59
|-
|-
| 60
| 60
| 580.645
| 580.6452
| [[7/5]]
| 1.3985
| '''<big>7/5</big>''', <small>32/23</small>, <small>45/32</small>, <small>89/64</small>, <small>25/18</small>
| A4
| A4
| 60
|-
|-
| 61
| 61
| 590.323
| 590.3226
| <small><small>[[31/22]]</small></small>
| 1.4063
| '''<big><u>45/32</u></big>''', 24/17, 7/5, <small>17/12</small>
| ^A4
| ^A4
| 61
|-
|-
| 62
| 62
| 600.000
| 600.0
| <small>[[24/17]]</small>, <small>[[17/12]]</small>
| 1.4142
| <big>17/12</big>, <big>24/17</big>, <small>27/19</small>, <small>91/64</small>, <small>45/32</small>
| ^^A4, vvd5
| ^^A4, vvd5
| 62
|-
|-
| 63
| 63
| 609.677
| 609.6774
| '''[[27/19]]'''
| 1.4221
| '''<big><u>91/64</u></big>''', '''<big>27/19</big>''', 17/12, 10/7, <small>24/17</small>, <small>33/23</small>
| vd5
| vd5
| 63
|-
|-
| 64
| 64
| 619.355
| 619.3548
| [[10/7]]
| 1.4301
| '''<big>10/7</big>''', 33/23, <small>23/16</small>, <small>91/64</small>, <small>27/19</small>
| d5
| d5
| 64
|-
|-
| 65
| 65
| 629.032
| 629.0323
| '''<u>[[23/16]]'''</u>
| 1.4381
| '''<big><u>23/16</u></big>''', 33/23, 13/9, <small>10/7</small>
| ^d5
| ^d5
| 65
|-
|-
| 66
| 66
| 638.710
| 638.7097
| [[13/9]], <small><small><small>[[29/20]]</small></small></small>
| 1.4462
| <big>13/9</big>, <small>93/64</small>, <small>16/11</small>, <small>23/16</small>, <small>33/23</small>
| ^^d5
| ^^d5
| 66
|-
|-
| 67
| 67
| 648.387
| 648.3871
| '''<u>[[16/11]]'''</u>
| 1.4543
| '''<big><u>16/11</u></big>''', '''<big>93/64</big>''', <small>19/13</small>, <small>13/9</small>, <small>22/15</small>
| ^^^d5
| ^^^d5
| 67
|-
|-
| 68
| 68
| 658.065
| 658.0645
| '''[[19/13]]'''
| 1.4624
| '''<big>19/13</big>''', 22/15, 47/32, <small>16/11</small>, <small>25/17</small>, <small>93/64</small>, <small>28/19</small>
| ~5
| ~5
| 68
|-
|-
| 69
| 69
| 667.742
| 667.7419
| <small><small><small>[[22/15]]</small></small></small>, '''<u>[[25/17]]'''</u>, <small><small>[[28/19]]</small></small>
| 1.4706
| '''<big><u>25/17</u></big>''', <big>47/32</big>, <big>28/19</big>, 22/15, <small>34/23</small>, <small>19/13</small>
| vvv5
| vvv5
| 69
|-
|-
| 70
| 70
| 677.419
| 677.4194
| <small>[[31/21]]</small>
| 1.4789
| '''<big><u>34/23</u></big>''', 28/19, 95/64, <small>25/17</small>, <small>47/32</small>, <small>22/15</small>
| vv5
| vv5
| 70
|-
|-
| 71
| 71
| 687.097
| 687.0968
|  
| 1.4872
| <big>95/64</big>, <small>34/23</small>, <small>3/2</small>, <small>28/19</small>
| v5
| v5
| 71
|-
|-
| 72
| 72
| 696.774
| 696.7742
|  
| 1.4955
| 3/2, <small>95/64</small>
| P5
| P5
| 72
|-
|-
| 73
| 73
| 706.452
| 706.4516
| <small><small><small>[[3/2]]</small></small></small>
| 1.5039
| 3/2, <small>97/64</small>
| ^5
| ^5
| 73
|-
|-
| 74
| 74
| 716.129
| 716.129
|  
| 1.5123
| <big>97/64</big>, <small>35/23</small>, <small>32/21</small>, <small>3/2</small>
| ^^5
| ^^5
| 74
|-
|-
| 75
| 75
| 725.806
| 725.8065
| <small><small>[[32/21]]</small></small>
| 1.5208
| '''<big>35/23</big>''', <big>32/21</big>, 97/64, <small>26/17</small>, <small>49/32</small>, <small>23/15</small>
| ^^^5
| ^^^5
| 75
|-
|-
| 76
| 76
| 735.484
| 735.4839
| <small><small>[[29/19]]</small></small>, '''<u>[[26/17]]'''</u>, <small><small><small>[[23/15]]</small></small></small>
| 1.5293
| '''<big><u>26/17</u></big>''', <big>49/32</big>, 23/15, 32/21, <small>35/23</small>, <small>20/13</small>, <small>97/64</small>
| ^<sup>4</sup>5
| ^<sup>4</sup>5
| 76
|-
|-
| 77
| 77
| 745.161
| 745.1613
| '''<u>[[20/13]]'''</u>
| 1.5379
| '''<big><u>20/13</u></big>''', 23/15, 49/32, <small>17/11</small>, <small>26/17</small>, <small>99/64</small>, <small>32/21</small>
| vvvA5
| vvvA5
| 77
|-
|-
| 78
| 78
| 754.839
| 754.8387
| '''[[17/11]]''', <small><small>[[31/20]]</small></small>
| 1.5465
| '''<big><u>99/64</u></big>''', '''<big>17/11</big>''', <small>20/13</small>, <small>14/9</small>, <small>23/15</small>
| vvA5, ^^d6
| vvA5, ^^d6
| 78
|-
|-
| 79
| 79
| 764.516
| 764.5161
| '''<u>[[14/9]]'''</u>
| 1.5552
| '''<big><u>14/9</u></big>''', <small>25/16</small>, <small>99/64</small>, <small>17/11</small>, <small>36/23</small>
| ^^^d6
| ^^^d6
| 79
|-
|-
| 80
| 80
| 774.194
| 774.1935
| '''[[25/16]]'''
| 1.5639
| '''<big>36/23</big>''', '''<big>25/16</big>''', <small>11/7</small>, <small>14/9</small>, <small>101/64</small>
| v<sup>4</sup>m6
| v<sup>4</sup>m6
| 80
|-
|-
| 81
| 81
| 783.871
| 783.871
| '''[[11/7]]'''
| 1.5727
| '''<big>11/7</big>''', 101/64, 30/19, <small>36/23</small>, <small>25/16</small>, <small>19/12</small>
| vvvm6
| vvvm6
| 81
|-
|-
| 82
| 82
| 793.548
| 793.5484
| <small>[[30/19]]</small>, [[19/12]]
| 1.5815
| <big>19/12</big>, <big>30/19</big>, <big>101/64</big>, 27/17, <small>35/22</small>, <small>11/7</small>, <small>51/32</small>
| vvm6
| vvm6
| 82
|-
|-
| 83
| 83
| 803.226
| 803.2258
| [[27/17]]
| 1.5904
| '''<big><u>35/22</u></big>''', <big>27/17</big>, <big>51/32</big>, 19/12, <small>8/5</small>, <small>30/19</small>, <small>101/64</small>
| vm6
| vm6
| 83
|-
|-
| 84
| 84
| 812.903
| 812.9032
| '''<u>[[8/5]]'''</u>
| 1.5993
| '''<big><u>8/5</u></big>''', 51/32, <small>35/22</small>, <small>103/64</small>, <small>27/17</small>
| m6
| m6
| 84
|-
|-
| 85
| 85
| 822.581
| 822.5806
| <small>[[29/18]]</small>
| 1.6082
| '''<big>103/64</big>''', 21/13, <small>8/5</small>, <small>34/21</small>, <small>51/32</small>
| ^m6
| ^m6
| 85
|-
|-
| 86
| 86
| 832.258
| 832.2581
| [[21/13]]
| 1.6173
| '''<big>34/21</big>''', <big>21/13</big>, <small>13/8</small>, <small>103/64</small>
| ^^m6
| ^^m6
| 86
|-
|-
| 87
| 87
| 841.935
| 841.9355
| '''[[13/8]]'''
| 1.6263
| '''<big>13/8</big>''', 34/21, <small>18/11</small>, <small>21/13</small>, <small>105/64</small>
| ^^^m6
| ^^^m6
| 87
|-
|-
| 88
| 88
| 851.613
| 851.6129
| <small><small><small>[[31/19]]</small></small></small>, '''[[18/11]]'''
| 1.6354
| '''<big><u>18/11</u></big>''', 105/64, 23/14, <small>13/8</small>, <small>28/17</small>, <small>33/20</small>
| ~6
| ~6
| 88
|-
|-
| 89
| 89
| 861.290
| 861.2903
| [[23/14]], <small>[[28/17]]</small>
| 1.6446
| '''<big>23/14</big>''', <big>28/17</big>, 105/64, 33/20, 38/23, <small>18/11</small>, <small>53/32</small>
| vvvM6
| vvvM6
| 89
|-
|-
| 90
| 90
| 870.968
| 870.9677
|  
| 1.6538
| '''<big>38/23</big>''', <big>53/32</big>, 33/20, 28/17, <small>23/14</small>, <small>5/3</small>, <small>105/64</small>
| vvM6
| vvM6
| 90
|-
|-
| 91
| 91
| 880.645
| 880.6452
| <small><small>[[5/3]]</small></small>
| 1.6631
| <big>5/3</big>, 53/32, <small>107/64</small>, <small>38/23</small>, <small>33/20</small>
| vM6
| vM6
| 91
|-
|-
| 92
| 92
| 890.323
| 890.3226
|  
| 1.6724
| '''<big><u>107/64</u></big>''', 5/3, <small>32/19</small>, <small>27/16</small>
| M6
| M6
| 92
|-
|-
| 93
| 93
| 900.000
| 900.0
| <small>[[32/19]]</small>
| 1.6818
| <big>32/19</big>, 27/16, <small>107/64</small>, <small>22/13</small>, <small>39/23</small>, <small>5/3</small>
| ^M6
| ^M6
| 93
|-
|-
| 94
| 94
| 909.677
| 909.6774
| <small><small>[[27/16]]</small></small>, '''[[22/13]]'''
| 1.6912
| '''<big>22/13</big>''', <big>27/16</big>, 39/23, 32/19, <small>17/10</small>, <small>109/64</small>
| ^^M6
| ^^M6
| 94
|-
|-
| 95
| 95
| 919.355
| 919.3548
| '''<u>[[17/10]]'''</u>
| 1.7007
| '''<big><u>17/10</u></big>''', <big>109/64</big>, 39/23, <small>22/13</small>, <small>27/16</small>, <small>12/7</small>
| ^^^M6
| ^^^M6
| 95
|-
|-
| 96
| 96
| 929.032
| 929.0323
| <small><small><small>[[29/17]]</small></small></small>, <small><small><small>[[12/7]]</small></small></small>
| 1.7102
| 12/7, 109/64, <small>55/32</small>, <small>17/10</small>, <small>39/23</small>
| ^<sup>4</sup>M6
| ^<sup>4</sup>M6
| 96
|-
|-
| 97
| 97
| 938.710
| 938.7097
| [[31/18]]
| 1.7198
| '''<big>55/32</big>''', 12/7, 19/11, <small>26/15</small>, <small>111/64</small>
| vvvA6
| vvvA6
| 97
|-
|-
| 98
| 98
| 948.387
| 948.3871
| [[19/11]], <small><small>[[26/15]]</small></small>
| 1.7295
| <big>19/11</big>, <big>26/15</big>, 111/64, 33/19, <small>40/23</small>, <small>55/32</small>, <small>12/7</small>
| vvA6, ^^d7
| vvA6, ^^d7
| 98
|-
|-
| 99
| 99
| 958.065
| 958.0645
|  
| 1.7392
| '''<big><u>40/23</u></big>''', <big>33/19</big>, 111/64, 26/15, <small>7/4</small>, <small>19/11</small>
| ^^^d7
| ^^^d7
| 99
|-
|-
| 100
| 100
| 967.742
| 967.7419
| '''[[7/4]]'''
| 1.7489
| '''<big>7/4</big>''', <small>40/23</small>, <small>33/19</small>, <small>111/64</small>, <small>26/15</small>, <small>30/17</small>
| v<sup>4</sup>m7
| v<sup>4</sup>m7
| 100
|-
|-
| 101
| 101
| 977.419
| 977.4194
|  
| 1.7587
| 30/17, 113/64, <small>7/4</small>, <small>23/13</small>, <small>39/22</small>
| vvvm7
| vvvm7
| 101
|-
|-
| 102
| 102
| 987.097
| 987.0968
| <small><small>[[30/17]]</small></small>, '''<u>[[23/13]]'''</u>
| 1.7686
| '''<big><u>23/13</u></big>''', <big>113/64</big>, <big>30/17</big>, 39/22, <small>16/9</small>, <small>57/32</small>
| vvm7
| vvm7
| 102
|-
|-
| 103
| 103
| 996.774
| 996.7742
| '''<u>[[16/9]]'''</u>
| 1.7785
| '''<big><u>16/9</u></big>''', <big>57/32</big>, 39/22, 25/14, <small>23/13</small>, <small>34/19</small>, <small>113/64</small>, <small>30/17</small>
| vm7
| vm7
| 103
|-
|-
| 104
| 104
| 1006.452
| 1006.4516
| <small>[[25/14]]</small>
| 1.7884
| '''<big><u>34/19</u></big>''', <big>25/14</big>, 57/32, <small>115/64</small>, <small>16/9</small>, <small>9/5</small>, <small>39/22</small>
| m7
| m7
| 104
|-
|-
| 105
| 105
| 1016.129
| 1016.129
| '''[[9/5]]'''
| 1.7985
| '''<big>9/5</big>''', '''<big>115/64</big>''', <small>34/19</small>, <small>38/21</small>, <small>25/14</small>, <small>29/16</small>
| ^m7
| ^m7
| 105
|-
|-
| 106
| 106
| 1025.806
| 1025.8065
| <small><small>[[29/16]]</small></small>
| 1.8086
| '''<big><u>38/21</u></big>''', <big>29/16</big>, <small>9/5</small>, <small>20/11</small>, <small>115/64</small>
| ^^m7
| ^^m7
| 106
|-
|-
| 107
| 107
| 1035.484
| 1035.4839
| '''<u>[[20/11]]'''</u>, <small><small><small>[[31/17]]</small></small></small>
| 1.8187
| '''<big><u>20/11</u></big>''', 29/16, 42/23, <small>38/21</small>, <small>117/64</small>, <small>11/6</small>
| ^^^m7
| ^^^m7
| 107
|-
|-
| 108
| 108
| 1045.161
| 1045.1613
| <small><small><small>[[11/6]]</small></small></small>
| 1.8289
| '''<big><u>117/64</u></big>''', <big>42/23</big>, 11/6, <small>20/11</small>, <small>35/19</small>, <small>59/32</small>, <small>29/16</small>
| ~7
| ~7
| 108
|-
|-
| 109
| 109
| 1054.839
| 1054.8387
|  
| 1.8391
| <big>35/19</big>, 59/32, 11/6, 24/13, <small>117/64</small>, <small>42/23</small>
| vvvM7
| vvvM7
| 109
|-
|-
| 110
| 110
| 1064.516
| 1064.5161
| <small>[[24/13]]</small>
| 1.8495
| <big>24/13</big>, 59/32, 35/19, 13/7, <small>119/64</small>, <small>11/6</small>
| vvM7
| vvM7
| 110
|-
|-
| 111
| 111
| 1074.194
| 1074.1935
| <small>[[13/7]]</small>
| 1.8598
| '''<big><u>119/64</u></big>''', <big>13/7</big>, 28/15, <small>24/13</small>, <small>15/8</small>, <small>59/32</small>
| vM7
| vM7
| 111
|-
|-
| 112
| 112
| 1083.871
| 1083.871
| <small><small>[[28/15]]</small></small>, <small><small><small>[[15/8]]</small></small></small>
| 1.8702
| <big>28/15</big>, 15/8, <small>119/64</small>, <small>32/17</small>, <small>13/7</small>
| M7
| M7
| 112
|-
|-
| 113
| 113
| 1093.548
| 1093.5484
| '''[[32/17]]'''
| 1.8807
| '''<big>32/17</big>''', 15/8, 17/9, <small>121/64</small>, <small>36/19</small>, <small>28/15</small>
| ^M7
| ^M7
| 113
|-
|-
| 114
| 114
| 1103.226
| 1103.2258
| [[17/9]]
| 1.8913
| '''<big><u>121/64</u></big>''', <big>17/9</big>, <big>36/19</big>, 19/10, <small>32/17</small>, <small>40/21</small>, <small>61/32</small>, <small>15/8</small>
| ^^M7
| ^^M7
| 114
|-
|-
| 115
| 115
| 1112.903
| 1112.9032
| [[19/10]]
| 1.9019
| '''<big>19/10</big>''', <big>40/21</big>, <big>61/32</big>, 36/19, 21/11, <small>44/23</small>, <small>121/64</small>, <small>17/9</small>, <small>23/12</small>
| ^^^M7
| ^^^M7
| 115
|-
|-
| 116
| 116
| 1122.581
| 1122.5806
| <small>[[21/11]]</small>, <small><small>[[23/12]]</small></small>
| 1.9125
| '''<big><u>44/23</u></big>''', <big>21/11</big>, <big>23/12</big>, 61/32, 40/21, <small>123/64</small>, <small>25/13</small>, <small>19/10</small>, <small>27/14</small>
| ^<sup>4</sup>M7
| ^<sup>4</sup>M7
| 116
|-
|-
| 117
| 117
| 1132.258
| 1132.2581
| '''<u>[[25/13]]'''</u>, <small><small><small>[[27/14]]</small></small></small>
| 1.9233
| '''<big><u>25/13</u></big>''', '''<big>123/64</big>''', 27/14, 23/12, <small>44/23</small>, <small>31/16</small>, <small>21/11</small>, <small>61/32</small>
| vvvA7
| vvvA7
| 117
|-
|-
| 118
| 118
| 1141.935
| 1141.9355
| '''<u>[[29/15]]'''</u>, <small>[[31/16]]</small>
| 1.934
| vvA7, ^^d1 +1oct
| <big>31/16</big>, 27/14, 33/17, <small>35/18</small>, <small>25/13</small>, <small>123/64</small>, <small>39/20</small>, <small>23/12</small>
| 118
| vvA7, ^^d1 +1 oct
|-
|-
| 119
| 119
| 1151.613
| 1151.6129
|  
| 1.9449
| ^^^d1 +1oct
| '''<big><u>35/18</u></big>''', <big>33/17</big>, 39/20, 31/16, 125/64, <small>45/23</small>, <small>27/14</small>
| 119
| ^^^d1 +1 oct
|-
|-
| 120
| 120
| 1161.290
| 1161.2903
|  
| 1.9558
| v<sup>4</sup>1 +1oct
| '''<big><u>45/23</u></big>''', <big>125/64</big>, 39/20, <small>35/18</small>, <small>63/32</small>, <small>33/17</small>
| 120
| v<sup>4</sup>1 +1 oct
|-
|-
| 121
| 121
| 1170.968
| 1170.9677
|  
| 1.9667
| vvv1 +1oct
| '''<big>63/32</big>''', <small>45/23</small>, <small>125/64</small>, <small>39/20</small>, <small>127/64</small>
| 121
| vvv1 +1 oct
|-
|-
| 122
| 122
| 1180.645
| 1180.6452
|  
| 1.9778
| vv1 +1oct
| 127/64, 63/32
| 122
| vv1 +1 oct
|-
|-
| 123
| 123
| 1190.323
| 1190.3226
|  
| 1.9889
| v1 +1oct
| <big>127/64</big>
| 123
| v1 +1 oct
|-
|-
| 124
| 124
| 1200.000
| 1200.0
| '''<u>[[2/1]]'''</u>
| 2.0
| P1 +1oct
| '''<big><u>2/1</u></big>'''
| 124
| P1 +1 oct
|-
| 125
| 1209.677
|
| ^1 +1oct
| 125
|-
| 126
| 1219.355
|
| ^^1 +1oct
| 126
|-
| 127
| 1229.032
|
| ^^^1 +1oct
| 127
|-
| 128
| 1238.710
|
| ^<sup>4</sup>1 +1oct
| 128
|-
| 129
| 1248.387
|
| vvvA1 +1oct
| 129
|-
| 130
| 1258.065
| '''[[31/15]]''', <small>[[29/14]]</small>
| vvA1 +1oct, ^^d2 +1oct
| 130
|-
| 131
| 1267.742
| [[27/13]], <small>[[25/12]]</small>
| ^^^d2 +1oct
| 131
|-
| 132
| 1277.419
| '''<u>[[23/11]]'''</u>
| v<sup>4</sup>m2 +1oct
| 132
|-
| 133
| 1287.097
| <small>[[21/10]]</small>
| vvvm2 +1oct
| 133
|-
| 134
| 1296.774
| <small>[[19/9]]</small>
| vvm2 +1oct
| 134
|-
| 135
| 1306.452
| '''[[17/8]]'''
| vm2 +1oct
| 135
|-
| 136
| 1316.129
| <small><small><small>[[32/15]]</small></small></small>, <small><small>[[15/7]]</small></small>
| m2 +1oct
| 136
|-
| 137
| 1325.806
| <small>[[28/13]]</small>
| ^m2 +1oct
| 137
|-
| 138
| 1335.484
| <small>[[13/6]]</small>
| ^^m2 +1oct
| 138
|-
|-
| 139
| colspan="5" style="padding-left: 1em;" | <nowiki />* JI ratio approximations are comprised of 23 limit ratios and the odd harmonics up to 127.<br />
| 1345.161
: The JI Ratio Approximations are stylized as follows to indicate accuracy:
|
:* '''<big><u>Big Bold Underlined:</u></big>''' absolute cent error < 1 cent.
| ^^^m2 +1oct
:* <big>'''Big Bold:'''</big> absolute cent error < 2 cents.
| 139
:* <big>Big:</big> absolute cent error < 4 cents.
|-
:* Normal: absolute cent error < 8 cents.
| 140
:* <small>Small:</small> absolute cent error < 16 cents.
| 1354.839
| <small><small><small>[[24/11]]</small></small></small>
| ~2 +1oct
| 140
|-
| 141
| 1364.516
| '''<u>[[11/5]]'''</u>
| vvvM2 +1oct
| 141
|-
| 142
| 1374.194
| [[31/14]]
| vvM2 +1oct
| 142
|-
| 143
| 1383.871
| '''[[20/9]]'''
| vM2 +1oct
| 143
|-
| 144
| 1393.548
| <small><small><small>[[29/13]]</small></small></small>
| M2 +1oct
| 144
|-
| 145
| 1403.226
| '''<u>[[9/4]]'''</u>
| ^M2 +1oct
| 145
|-
| 146
| 1412.903
|
| ^^M2 +1oct
| 146
|-
| 147
| 1422.581
| '''[[25/11]]'''
| ^^^M2 +1oct
| 147
|-
| 148
| 1432.258
| '''[[16/7]]'''
| ^<sup>4</sup>M2 +1oct
| 148
|-
| 149
| 1441.935
| '''<u>[[23/10]]'''</u>
| vvvA2 +1oct
| 149
|-
| 150
| 1451.613
| <small><small>[[30/13]]</small></small>
| vvA2 +1oct, ^^d3 +1oct
| 150
|-
| 151
| 1461.290
|
| ^^^d3 +1oct
| 151
|-
| 152
| 1470.968
| <small><small><small>[[7/3]]</small></small></small>
| v<sup>4</sup>m3 +1oct
| 152
|-
| 153
| 1480.645
|
| vvvm3 +1oct
| 153
|-
| 154
| 1490.323
| '''[[26/11]]'''
| vvm3 +1oct
| 154
|-
| 155
| 1500.000
| <small>[[19/8]]</small>, <small><small><small>[[31/13]]</small></small></small>
| vm3 +1oct
| 155
|-
| 156
| 1509.677
|
| m3 +1oct
| 156
|-
| 157
| 1519.355
| <small><small>[[12/5]]</small></small>
| ^m3 +1oct
| 157
|-
| 158
| 1529.032
| '''[[29/12]]'''
| ^^m3 +1oct
| 158
|-
| 159
| 1538.710
| <small>[[17/7]]</small>
| ^^^m3 +1oct
| 159
|-
| 160
| 1548.387
| '''[[22/9]]'''
| ~3 +1oct
| 160
|-
| 161
| 1558.065
| <small><small>[[27/11]]</small></small>, '''[[32/13]]'''
| vvvM3 +1oct
| 161
|-
| 162
| 1567.742
|
| vvM3 +1oct
| 162
|-
| 163
| 1577.419
|
| vM3 +1oct
| 163
|-
| 164
| 1587.097
| '''<u>[[5/2]]'''</u>
| M3 +1oct
| 164
|-
| 165
| 1596.774
|
| ^M3 +1oct
| 165
|-
| 166
| 1606.452
|
| ^^M3 +1oct
| 166
|-
| 167
| 1616.129
| '''[[28/11]]'''
| ^^^M3 +1oct
| 167
|-
| 168
| 1625.806
| '''[[23/9]]'''
| ^<sup>4</sup>M3 +1oct
| 168
|-
| 169
| 1635.484
| '''<u>[[18/7]]'''</u>
| vvvA3 +1oct
| 169
|-
| 170
| 1645.161
| [[31/12]]
| vvA3 +1oct, ^^d4 +1oct
| 170
|-
| 171
| 1654.839
| '''<u>[[13/5]]'''</u>
| ^^^d4 +1oct
| 171
|-
| 172
| 1664.516
|
| v<sup>4</sup>4 +1oct
| 172
|-
| 173
| 1674.194
| <small><small>[[21/8]]</small></small>, <small><small><small>[[29/11]]</small></small></small>
| vvv4 +1oct
| 173
|-
| 174
| 1683.871
|
| vv4 +1oct
| 174
|-
| 175
| 1693.548
| <small><small><small>[[8/3]]</small></small></small>
| v4 +1oct
| 175
|-
| 176
| 1703.226
|
| P4 +1oct
| 176
|-
| 177
| 1712.903
|
| ^4 +1oct
| 177
|-
| 178
| 1722.581
| <small>[[27/10]]</small>
| ^^4 +1oct
| 178
|-
| 179
| 1732.258
| <small><small>[[19/7]]</small></small>, <small><small><small>[[30/11]]</small></small></small>
| ^^^4 +1oct
| 179
|-
| 180
| 1741.935
|
| ~4 +1oct
| 180
|-
| 181
| 1751.613
| '''<u>[[11/4]]'''</u>
| vvvA4 +1oct
| 181
|-
| 182
| 1761.290
|
| vvA4 +1oct
| 182
|-
| 183
| 1770.968
| [[25/9]]
| vA4 +1oct
| 183
|-
| 184
| 1780.645
| [[14/5]]
| A4 +1oct
| 184
|-
| 185
| 1790.323
| <small><small>[[31/11]]</small></small>
| ^A4 +1oct
| 185
|-
| 186
| 1800.000
| <small>[[17/6]]</small>
| ^^A4 +1oct, vvd5 +1oct
| 186
|-
| 187
| 1809.677
|
| vd5 +1oct
| 187
|-
| 188
| 1819.355
| [[20/7]]
| d5 +1oct
| 188
|-
| 189
| 1829.032
| '''<u>[[23/8]]'''</u>
| ^d5 +1oct
| 189
|-
| 190
| 1838.710
| [[26/9]], <small><small><small>[[29/10]]</small></small></small>
| ^^d5 +1oct
| 190
|-
| 191
| 1848.387
| '''<u>[[32/11]]'''</u>
| ^^^d5 +1oct
| 191
|-
| 192
| 1858.065
|
| ~5 +1oct
| 192
|-
| 193
| 1867.742
|
| vvv5 +1oct
| 193
|-
| 194
| 1877.419
|
| vv5 +1oct
| 194
|-
| 195
| 1887.097
|
| v5 +1oct
| 195
|-
| 196
| 1896.774
|
| P5 +1oct
| 196
|-
| 197
| 1906.452
| <small><small><small>[[3/1]]</small></small></small>
| ^5 +1oct
| 197
|-
| 198
| 1916.129
|
| ^^5 +1oct
| 198
|-
| 199
| 1925.806
|
| ^^^5 +1oct
| 199
|-
| 200
| 1935.484
|
| ^<sup>4</sup>5 +1oct
| 200
|-
| 201
| 1945.161
|
| vvvA5 +1oct
| 201
|-
| 202
| 1954.839
| <small><small>[[31/10]]</small></small>
| vvA5 +1oct, ^^d6 +1oct
| 202
|-
| 203
| 1964.516
| '''<u>[[28/9]]'''</u>
| ^^^d6 +1oct
| 203
|-
| 204
| 1974.194
| '''[[25/8]]'''
| v<sup>4</sup>m6 +1oct
| 204
|-
| 205
| 1983.871
| '''[[22/7]]'''
| vvvm6 +1oct
| 205
|-
| 206
| 1993.548
| [[19/6]]
| vvm6 +1oct
| 206
|-
| 207
| 2003.226
|
| vm6 +1oct
| 207
|}
|}


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
Retrieved from "https://en.xen.wiki/w/124edo"