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'''124edo''' is the [[EDO|equal division of the octave]] into 124 parts of 9.6774 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 2048/2025 (diaschisma) and 19073486328125/18075490334784 in the 5-limit. Using the patent val, it tempers out 3136/3125, 4000/3969, and 33614/32805 in the 7-limit; 385/384, 1232/1215, 1331/1323, and 3773/3750 in the 11-limit; 196/195, 364/363, 572/567, 625/624, and 1001/1000 in the 13-limit.
{{Infobox ET}}
{{ED intro}}


[[Category:Edo]]
== Theory ==
124edo is closely related to [[31edo]], but the [[patent val]]s differ on the [[mapping]] for [[3/1|3]]. The equal temperament [[tempering out|tempers out]] 2048/2025 ([[diaschisma]]) and {{monzo| -6 -24 19 }} in the 5-limit. Using the patent val, it tempers out [[3136/3125]], [[4000/3969]], and 33614/32805 in the 7-limit; [[385/384]], 1232/1215, 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[364/363]], 572/567, [[625/624]], and [[1001/1000]] in the 13-limit. Note that although its sharp fifth is slightly closer to just, both fifths are about equally off in both directions, and its [[9/1|9th harmonic]] is especially accurate as a result, so it can be considered a [[dual-fifth system]], in which it performs very well in the 2.9.5.7.11.13.17.19.23.37 [[subgroup]] (the dual-fifth [[23-limit]] add-37), which is arguably the right way to analyze its approximations of JI. Also interesting is that one may want to double the number of notes to add a fifth closer to just, but this causes the relative errors of other primes to double leading to [[consistency|inconsistencies]], so its most reasonable and capable conceptualization seems to be that of a dual-fifth system.
 
=== Odd harmonics ===
{{Harmonics in equal|124|columns=12}}
{{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 ==
{| class="wikitable mw-collapsible mw-collapsed center-5"
|+ style="font-size: 105%; white-space: nowrap;" | Table of intervals in 124edo
|-
! Step
! Cents
! Ratio
! JI ratio approximations
! Ups and downs notation<br />[[val]] {{val|124 196}} (124b)
|-
| 0
| 0.0
| 1.0
| '''<big><u>1/1</u></big>'''
| P1
|-
| 1
| 9.6774
| 1.0056
|
| ^1
|-
| 2
| 19.3548
| 1.0112
| 65/64
| ^^1
|-
| 3
| 29.0323
| 1.0169
| <big>65/64</big>
| ^^^1
|-
| 4
| 38.7097
| 1.0226
| <small>65/64</small>, <small>33/32</small>
| ^<sup>4</sup>1
|-
| 5
| 48.3871
| 1.0283
| 33/32
| vvvA1
|-
| 6
| 58.0645
| 1.0341
| 33/32, <small>24/23</small>
| vvA1, ^^d2
|-
| 7
| 67.7419
| 1.0399
| 24/23, <small>23/22</small>, <small>67/64</small>, <small>22/21</small>, <small>33/32</small>
| ^^^d2
|-
| 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>
| v<sup>4</sup>m2
|-
| 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>
| vvvm2
|-
| 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>
| vvm2
|-
| 11
| 106.4516
| 1.0634
| '''<big>17/16</big>''', 16/15, 18/17, <small>19/18</small>, <small>15/14</small>
| vm2
|-
| 12
| 116.129
| 1.0694
| <big>15/14</big>, 16/15, <small>17/16</small>, <small>14/13</small>, <small>69/64</small>
| m2
|-
| 13
| 125.8065
| 1.0754
| <big>14/13</big>, 69/64, 15/14, <small>13/12</small>, <small>16/15</small>
| ^m2
|-
| 14
| 135.4839
| 1.0814
| <big>13/12</big>, 69/64, 14/13, <small>25/23</small>, <small>12/11</small>
| ^^m2
|-
| 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>
| ^^^m2
|-
| 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>
| ~2
|-
| 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>
| vvvM2
|-
| 18
| 174.1935
| 1.1059
| '''<big><u>21/19</u></big>''', 71/64, <small>10/9</small>, <small>11/10</small>
| vvM2
|-
| 19
| 183.871
| 1.1121
| '''<big>10/9</big>''', 71/64, <small>19/17</small>, <small>21/19</small>
| vM2
|-
| 20
| 193.5484
| 1.1183
| '''<big><u>19/17</u></big>''', <small>9/8</small>, <small>10/9</small>, <small>71/64</small>
| M2
|-
| 21
| 203.2258
| 1.1246
| '''<big><u>9/8</u></big>''', <small>26/23</small>, <small>19/17</small>, <small>17/15</small>
| ^M2
|-
| 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>
| ^^M2
|-
| 23
| 222.5806
| 1.1372
| '''<big>25/22</big>''', 73/64, 17/15, <small>8/7</small>, <small>26/23</small>
| ^^^M2
|-
| 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>
| ^<sup>4</sup>M2
|-
| 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>
| vvvA2
|-
| 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>
| vvA2, ^^d3
|-
| 27
| 261.2903
| 1.1629
| 7/6, 22/19, <small>37/32</small>, <small>75/64</small>, <small>15/13</small>
| ^^^d3
|-
| 28
| 270.9677
| 1.1694
| <big>75/64</big>, 7/6, 27/23, <small>20/17</small>
| v<sup>4</sup>m3
|-
| 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>
| vvvm3
|-
| 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>
| vvm3
|-
| 31
| 300.0
| 1.1892
| '''<big>25/21</big>''', <big>19/16</big>, <small>13/11</small>, <small>6/5</small>
| vm3
|-
| 32
| 309.6774
| 1.1959
| 6/5, 25/21, <small>77/64</small>, <small>19/16</small>
| m3
|-
| 33
| 319.3548
| 1.2026
| '''<big><u>77/64</u></big>''', <big>6/5</big>, <small>23/19</small>
| ^m3
|-
| 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>
| ^^m3
|-
| 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>
| ^^^m3
|-
| 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>
| ~3
|-
| 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>
| vvvM3
|-
| 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>
| vvM3
|-
| 39
| 377.4194
| 1.2436
| 26/21, <small>5/4</small>, <small>21/17</small>, <small>79/64</small>
| vM3
|-
| 40
| 387.0968
| 1.2506
| '''<big><u>5/4</u></big>'''
| M3
|-
| 41
| 396.7742
| 1.2576
| 24/19, <small>5/4</small>, <small>81/64</small>, <small>19/15</small>
| ^M3
|-
| 42
| 406.4516
| 1.2646
| '''<big>81/64</big>''', <big>24/19</big>, <big>19/15</big>, <small>14/11</small>
| ^^M3
|-
| 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>
| ^^^M3
|-
| 44
| 425.8065
| 1.2788
| '''<big>23/18</big>''', <big>41/32</big>, <small>14/11</small>, <small>9/7</small>
| ^<sup>4</sup>M3
|-
| 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>
| vvvA3
|-
| 46
| 445.1613
| 1.2932
| '''<big>22/17</big>''', 83/64, <small>13/10</small>, <small>9/7</small>, <small>30/23</small>
| vvA3, ^^d4
|-
| 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>
| ^^^d4
|-
| 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>
| v<sup>4</sup>4
|-
| 49
| 474.1935
| 1.3151
| '''<big><u>25/19</u></big>''', <big>21/16</big>, <small>17/13</small>, <small>30/23</small>
| vvv4
|-
| 50
| 483.871
| 1.3225
| 85/64, <small>25/19</small>, <small>21/16</small>, <small>4/3</small>
| vv4
|-
| 51
| 493.5484
| 1.3299
| <big>85/64</big>, 4/3
| v4
|-
| 52
| 503.2258
| 1.3373
| 4/3, <small>43/32</small>, <small>85/64</small>
| P4
|-
| 53
| 512.9032
| 1.3448
| '''<big>43/32</big>''', 27/20, <small>23/17</small>, <small>4/3</small>, <small>19/14</small>
| ^4
|-
| 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>
| ^^4
|-
| 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>
| ^^^4
|-
| 56
| 541.9355
| 1.3676
| '''<big>26/19</big>''', 15/11, <small>11/8</small>, <small>87/64</small>, <small>19/14</small>
| ~4
|-
| 57
| 551.6129
| 1.3752
| '''<big><u>11/8</u></big>''', <small>26/19</small>, <small>18/13</small>, <small>15/11</small>
| vvvA4
|-
| 58
| 561.2903
| 1.3829
| <big>18/13</big>, 25/18, <small>89/64</small>, <small>11/8</small>, <small>32/23</small>
| vvA4
|-
| 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>
| vA4
|-
| 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>
| A4
|-
| 61
| 590.3226
| 1.4063
| '''<big><u>45/32</u></big>''', 24/17, 7/5, <small>17/12</small>
| ^A4
|-
| 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>
| ^^A4, vvd5
|-
| 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>
| vd5
|-
| 64
| 619.3548
| 1.4301
| '''<big>10/7</big>''', 33/23, <small>23/16</small>, <small>91/64</small>, <small>27/19</small>
| d5
|-
| 65
| 629.0323
| 1.4381
| '''<big><u>23/16</u></big>''', 33/23, 13/9, <small>10/7</small>
| ^d5
|-
| 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>
| ^^d5
|-
| 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>
| ^^^d5
|-
| 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>
| ~5
|-
| 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>
| vvv5
|-
| 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>
| vv5
|-
| 71
| 687.0968
| 1.4872
| <big>95/64</big>, <small>34/23</small>, <small>3/2</small>, <small>28/19</small>
| v5
|-
| 72
| 696.7742
| 1.4955
| 3/2, <small>95/64</small>
| P5
|-
| 73
| 706.4516
| 1.5039
| 3/2, <small>97/64</small>
| ^5
|-
| 74
| 716.129
| 1.5123
| <big>97/64</big>, <small>35/23</small>, <small>32/21</small>, <small>3/2</small>
| ^^5
|-
| 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>
| ^^^5
|-
| 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>
| ^<sup>4</sup>5
|-
| 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>
| vvvA5
|-
| 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>
| vvA5, ^^d6
|-
| 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>
| ^^^d6
|-
| 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>
| v<sup>4</sup>m6
|-
| 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>
| vvvm6
|-
| 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>
| vvm6
|-
| 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>
| vm6
|-
| 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>
| m6
|-
| 85
| 822.5806
| 1.6082
| '''<big>103/64</big>''', 21/13, <small>8/5</small>, <small>34/21</small>, <small>51/32</small>
| ^m6
|-
| 86
| 832.2581
| 1.6173
| '''<big>34/21</big>''', <big>21/13</big>, <small>13/8</small>, <small>103/64</small>
| ^^m6
|-
| 87
| 841.9355
| 1.6263
| '''<big>13/8</big>''', 34/21, <small>18/11</small>, <small>21/13</small>, <small>105/64</small>
| ^^^m6
|-
| 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>
| ~6
|-
| 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>
| vvvM6
|-
| 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>
| vvM6
|-
| 91
| 880.6452
| 1.6631
| <big>5/3</big>, 53/32, <small>107/64</small>, <small>38/23</small>, <small>33/20</small>
| vM6
|-
| 92
| 890.3226
| 1.6724
| '''<big><u>107/64</u></big>''', 5/3, <small>32/19</small>, <small>27/16</small>
| M6
|-
| 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>
| ^M6
|-
| 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>
| ^^M6
|-
| 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>
| ^^^M6
|-
| 96
| 929.0323
| 1.7102
| 12/7, 109/64, <small>55/32</small>, <small>17/10</small>, <small>39/23</small>
| ^<sup>4</sup>M6
|-
| 97
| 938.7097
| 1.7198
| '''<big>55/32</big>''', 12/7, 19/11, <small>26/15</small>, <small>111/64</small>
| vvvA6
|-
| 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>
| vvA6, ^^d7
|-
| 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>
| ^^^d7
|-
| 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>
| v<sup>4</sup>m7
|-
| 101
| 977.4194
| 1.7587
| 30/17, 113/64, <small>7/4</small>, <small>23/13</small>, <small>39/22</small>
| vvvm7
|-
| 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>
| vvm7
|-
| 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>
| vm7
|-
| 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>
| m7
|-
| 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>
| ^m7
|-
| 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>
| ^^m7
|-
| 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>
| ^^^m7
|-
| 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>
| ~7
|-
| 109
| 1054.8387
| 1.8391
| <big>35/19</big>, 59/32, 11/6, 24/13, <small>117/64</small>, <small>42/23</small>
| vvvM7
|-
| 110
| 1064.5161
| 1.8495
| <big>24/13</big>, 59/32, 35/19, 13/7, <small>119/64</small>, <small>11/6</small>
| vvM7
|-
| 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>
| vM7
|-
| 112
| 1083.871
| 1.8702
| <big>28/15</big>, 15/8, <small>119/64</small>, <small>32/17</small>, <small>13/7</small>
| M7
|-
| 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>
| ^M7
|-
| 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>
| ^^M7
|-
| 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>
| ^^^M7
|-
| 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>
| ^<sup>4</sup>M7
|-
| 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>
| vvvA7
|-
| 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>
| vvA7, ^^d1 +1 oct
|-
| 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>
| ^^^d1 +1 oct
|-
| 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>
| v<sup>4</sup>1 +1 oct
|-
| 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>
| vvv1 +1 oct
|-
| 122
| 1180.6452
| 1.9778
| 127/64, 63/32
| vv1 +1 oct
|-
| 123
| 1190.3226
| 1.9889
| <big>127/64</big>
| v1 +1 oct
|-
| 124
| 1200.0
| 2.0
| '''<big><u>2/1</u></big>'''
| P1 +1 oct
|-
| colspan="5" style="padding-left: 1em;" | <nowiki />* 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.
|}
 
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
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