124edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{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 center-5" | {| class="wikitable mw-collapsible mw-collapsed center-5" | ||
|+ | |+ style="font-size: 105%; white-space: nowrap;" | Table of intervals in 124edo | ||
!Step | |- | ||
!Cents | ! Step | ||
!Ratio | ! Cents | ||
!JI | ! Ratio | ||
!Ups and | ! JI ratio approximations | ||
[[val]] | ! Ups and downs notation<br />[[val]] {{val|124 196}} (124b) | ||
|- | |- | ||
|0 | | 0 | ||
|0.0 | | 0.0 | ||
|1.0 | | 1.0 | ||
|'''<big><u>1/1</u></big>''' | | '''<big><u>1/1</u></big>''' | ||
|P1 | | P1 | ||
|- | |- | ||
|1 | | 1 | ||
|9.6774 | | 9.6774 | ||
|1.0056 | | 1.0056 | ||
| | | | ||
|^1 | | ^1 | ||
|- | |- | ||
|2 | | 2 | ||
|19.3548 | | 19.3548 | ||
|1.0112 | | 1.0112 | ||
|65/64 | | 65/64 | ||
|^^1 | | ^^1 | ||
|- | |- | ||
|3 | | 3 | ||
|29.0323 | | 29.0323 | ||
|1.0169 | | 1.0169 | ||
|<big>65/64</big> | | <big>65/64</big> | ||
|^^^1 | | ^^^1 | ||
|- | |- | ||
|4 | | 4 | ||
|38.7097 | | 38.7097 | ||
|1.0226 | | 1.0226 | ||
|<small>65/64</small>, <small>33/32</small> | | <small>65/64</small>, <small>33/32</small> | ||
|^<sup>4</sup>1 | | ^<sup>4</sup>1 | ||
|- | |- | ||
|5 | | 5 | ||
|48.3871 | | 48.3871 | ||
|1.0283 | | 1.0283 | ||
|33/32 | | 33/32 | ||
|vvvA1 | | vvvA1 | ||
|- | |- | ||
|6 | | 6 | ||
|58.0645 | | 58.0645 | ||
|1.0341 | | 1.0341 | ||
|33/32, <small>24/23</small> | | 33/32, <small>24/23</small> | ||
|vvA1, ^^d2 | | vvA1, ^^d2 | ||
|- | |- | ||
|7 | | 7 | ||
|67.7419 | | 67.7419 | ||
|1.0399 | | 1.0399 | ||
|24/23, <small>23/22</small>, <small>67/64</small>, <small>22/21</small>, <small>33/32</small> | | 24/23, <small>23/22</small>, <small>67/64</small>, <small>22/21</small>, <small>33/32</small> | ||
|^^^d2 | | ^^^d2 | ||
|- | |- | ||
|8 | | 8 | ||
|77.4194 | | 77.4194 | ||
|1.0457 | | 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> | | '''<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 | ||
|- | |- | ||
|9 | | 9 | ||
|87.0968 | | 87.0968 | ||
|1.0516 | | 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> | | '''<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 | ||
|- | |- | ||
|10 | | 10 | ||
|96.7742 | | 96.7742 | ||
|1.0575 | | 1.0575 | ||
|<big>18/17</big>, <big>19/18</big>, 20/19, <small>17/16</small>, <small>21/20</small>, <small>16/15</small> | | <big>18/17</big>, <big>19/18</big>, 20/19, <small>17/16</small>, <small>21/20</small>, <small>16/15</small> | ||
|vvm2 | | vvm2 | ||
|- | |- | ||
|11 | | 11 | ||
|106.4516 | | 106.4516 | ||
|1.0634 | | 1.0634 | ||
|'''<big>17/16</big>''', 16/15, 18/17, <small>19/18</small>, <small>15/14</small> | | '''<big>17/16</big>''', 16/15, 18/17, <small>19/18</small>, <small>15/14</small> | ||
|vm2 | | vm2 | ||
|- | |- | ||
|12 | | 12 | ||
|116.129 | | 116.129 | ||
|1.0694 | | 1.0694 | ||
|<big>15/14</big>, 16/15, <small>17/16</small>, <small>14/13</small>, <small>69/64</small> | | <big>15/14</big>, 16/15, <small>17/16</small>, <small>14/13</small>, <small>69/64</small> | ||
|m2 | | m2 | ||
|- | |- | ||
|13 | | 13 | ||
|125.8065 | | 125.8065 | ||
|1.0754 | | 1.0754 | ||
|<big>14/13</big>, 69/64, 15/14, <small>13/12</small>, <small>16/15</small> | | <big>14/13</big>, 69/64, 15/14, <small>13/12</small>, <small>16/15</small> | ||
|^m2 | | ^m2 | ||
|- | |- | ||
|14 | | 14 | ||
|135.4839 | | 135.4839 | ||
|1.0814 | | 1.0814 | ||
|<big>13/12</big>, 69/64, 14/13, <small>25/23</small>, <small>12/11</small> | | <big>13/12</big>, 69/64, 14/13, <small>25/23</small>, <small>12/11</small> | ||
|^^m2 | | ^^m2 | ||
|- | |- | ||
|15 | | 15 | ||
|145.1613 | | 145.1613 | ||
|1.0875 | | 1.0875 | ||
|'''<big><u>25/23</u></big>''', 12/11, 13/12, <small>35/32</small>, <small>23/21</small>, <small>69/64</small> | | '''<big><u>25/23</u></big>''', 12/11, 13/12, <small>35/32</small>, <small>23/21</small>, <small>69/64</small> | ||
|^^^m2 | | ^^^m2 | ||
|- | |- | ||
|16 | | 16 | ||
|154.8387 | | 154.8387 | ||
|1.0936 | | 1.0936 | ||
|'''<big><u>35/32</u></big>''', <big>23/21</big>, 12/11, <small>11/10</small>, <small>25/23</small> | | '''<big><u>35/32</u></big>''', <big>23/21</big>, 12/11, <small>11/10</small>, <small>25/23</small> | ||
|~2 | | ~2 | ||
|- | |- | ||
|17 | | 17 | ||
|164.5161 | | 164.5161 | ||
|1.0997 | | 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> | | '''<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 | ||
|- | |- | ||
|18 | | 18 | ||
|174.1935 | | 174.1935 | ||
|1.1059 | | 1.1059 | ||
|'''<big><u>21/19</u></big>''', 71/64, <small>10/9</small>, <small>11/10</small> | | '''<big><u>21/19</u></big>''', 71/64, <small>10/9</small>, <small>11/10</small> | ||
|vvM2 | | vvM2 | ||
|- | |- | ||
|19 | | 19 | ||
|183.871 | | 183.871 | ||
|1.1121 | | 1.1121 | ||
|'''<big>10/9</big>''', 71/64, <small>19/17</small>, <small>21/19</small> | | '''<big>10/9</big>''', 71/64, <small>19/17</small>, <small>21/19</small> | ||
|vM2 | | vM2 | ||
|- | |- | ||
|20 | | 20 | ||
|193.5484 | | 193.5484 | ||
|1.1183 | | 1.1183 | ||
|'''<big><u>19/17</u></big>''', <small>9/8</small>, <small>10/9</small>, <small>71/64</small> | | '''<big><u>19/17</u></big>''', <small>9/8</small>, <small>10/9</small>, <small>71/64</small> | ||
|M2 | | M2 | ||
|- | |- | ||
|21 | | 21 | ||
|203.2258 | | 203.2258 | ||
|1.1246 | | 1.1246 | ||
|'''<big><u>9/8</u></big>''', <small>26/23</small>, <small>19/17</small>, <small>17/15</small> | | '''<big><u>9/8</u></big>''', <small>26/23</small>, <small>19/17</small>, <small>17/15</small> | ||
|^M2 | | ^M2 | ||
|- | |- | ||
|22 | | 22 | ||
|212.9032 | | 212.9032 | ||
|1.1309 | | 1.1309 | ||
|'''<big><u>26/23</u></big>''', <big>17/15</big>, <small>25/22</small>, <small>9/8</small>, <small>73/64</small> | | '''<big><u>26/23</u></big>''', <big>17/15</big>, <small>25/22</small>, <small>9/8</small>, <small>73/64</small> | ||
|^^M2 | | ^^M2 | ||
|- | |- | ||
|23 | | 23 | ||
|222.5806 | | 222.5806 | ||
|1.1372 | | 1.1372 | ||
|'''<big>25/22</big>''', 73/64, 17/15, <small>8/7</small>, <small>26/23</small> | | '''<big>25/22</big>''', 73/64, 17/15, <small>8/7</small>, <small>26/23</small> | ||
|^^^M2 | | ^^^M2 | ||
|- | |- | ||
|24 | | 24 | ||
|232.2581 | | 232.2581 | ||
|1.1436 | | 1.1436 | ||
|'''<big>8/7</big>''', 73/64, <small>23/20</small>, <small>25/22</small>, <small>15/13</small>, <small>17/15</small> | | '''<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 | ||
|- | |- | ||
|25 | | 25 | ||
|241.9355 | | 241.9355 | ||
|1.15 | | 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> | | '''<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 | ||
|- | |- | ||
|26 | | 26 | ||
|251.6129 | | 251.6129 | ||
|1.1564 | | 1.1564 | ||
|'''<big><u>37/32</u></big>''', <big>22/19</big>, <big>15/13</big>, <small>23/20</small>, <small>7/6</small> | | '''<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 | ||
|- | |- | ||
|27 | | 27 | ||
|261.2903 | | 261.2903 | ||
|1.1629 | | 1.1629 | ||
|7/6, 22/19, <small>37/32</small>, <small>75/64</small>, <small>15/13</small> | | 7/6, 22/19, <small>37/32</small>, <small>75/64</small>, <small>15/13</small> | ||
|^^^d3 | | ^^^d3 | ||
|- | |- | ||
|28 | | 28 | ||
|270.9677 | | 270.9677 | ||
|1.1694 | | 1.1694 | ||
|<big>75/64</big>, 7/6, 27/23, <small>20/17</small> | | <big>75/64</big>, 7/6, 27/23, <small>20/17</small> | ||
|v<sup>4</sup>m3 | | v<sup>4</sup>m3 | ||
|- | |- | ||
|29 | | 29 | ||
|280.6452 | | 280.6452 | ||
|1.176 | | 1.176 | ||
|'''<big><u>20/17</u></big>''', <big>27/23</big>, 75/64, <small>13/11</small>, <small>7/6</small> | | '''<big><u>20/17</u></big>''', <big>27/23</big>, 75/64, <small>13/11</small>, <small>7/6</small> | ||
|vvvm3 | | vvvm3 | ||
|- | |- | ||
|30 | | 30 | ||
|290.3226 | | 290.3226 | ||
|1.1826 | | 1.1826 | ||
|'''<big>13/11</big>''', 19/16, <small>20/17</small>, <small>25/21</small>, <small>27/23</small>, <small>75/64</small> | | '''<big>13/11</big>''', 19/16, <small>20/17</small>, <small>25/21</small>, <small>27/23</small>, <small>75/64</small> | ||
|vvm3 | | vvm3 | ||
|- | |- | ||
|31 | | 31 | ||
|300.0 | | 300.0 | ||
|1.1892 | | 1.1892 | ||
|'''<big>25/21</big>''', <big>19/16</big>, <small>13/11</small>, <small>6/5</small> | | '''<big>25/21</big>''', <big>19/16</big>, <small>13/11</small>, <small>6/5</small> | ||
|vm3 | | vm3 | ||
|- | |- | ||
|32 | | 32 | ||
|309.6774 | | 309.6774 | ||
|1.1959 | | 1.1959 | ||
|6/5, 25/21, <small>77/64</small>, <small>19/16</small> | | 6/5, 25/21, <small>77/64</small>, <small>19/16</small> | ||
|m3 | | m3 | ||
|- | |- | ||
|33 | | 33 | ||
|319.3548 | | 319.3548 | ||
|1.2026 | | 1.2026 | ||
|'''<big><u>77/64</u></big>''', <big>6/5</big>, <small>23/19</small> | | '''<big><u>77/64</u></big>''', <big>6/5</big>, <small>23/19</small> | ||
|^m3 | | ^m3 | ||
|- | |- | ||
|34 | | 34 | ||
|329.0323 | | 329.0323 | ||
|1.2093 | | 1.2093 | ||
|'''<big>23/19</big>''', 17/14, <small>77/64</small>, <small>28/23</small>, <small>6/5</small>, <small>39/32</small> | | '''<big>23/19</big>''', 17/14, <small>77/64</small>, <small>28/23</small>, <small>6/5</small>, <small>39/32</small> | ||
|^^m3 | | ^^m3 | ||
|- | |- | ||
|35 | | 35 | ||
|338.7097 | | 338.7097 | ||
|1.2161 | | 1.2161 | ||
|'''<big>28/23</big>''', <big>17/14</big>, <big>39/32</big>, 23/19, <small>11/9</small>, <small>27/22</small> | | '''<big>28/23</big>''', <big>17/14</big>, <big>39/32</big>, 23/19, <small>11/9</small>, <small>27/22</small> | ||
|^^^m3 | | ^^^m3 | ||
|- | |- | ||
|36 | | 36 | ||
|348.3871 | | 348.3871 | ||
|1.2229 | | 1.2229 | ||
|'''<big><u>11/9</u></big>''', 39/32, 27/22, 28/23, <small>16/13</small>, <small>17/14</small> | | '''<big><u>11/9</u></big>''', 39/32, 27/22, 28/23, <small>16/13</small>, <small>17/14</small> | ||
|~3 | | ~3 | ||
|- | |- | ||
|37 | | 37 | ||
|358.0645 | | 358.0645 | ||
|1.2298 | | 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> | | '''<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 | ||
|- | |- | ||
|38 | | 38 | ||
|367.7419 | | 367.7419 | ||
|1.2367 | | 1.2367 | ||
|'''<big>21/17</big>''', <big>26/21</big>, <big>79/64</big>, <small>16/13</small>, <small>27/22</small> | | '''<big>21/17</big>''', <big>26/21</big>, <big>79/64</big>, <small>16/13</small>, <small>27/22</small> | ||
|vvM3 | | vvM3 | ||
|- | |- | ||
|39 | | 39 | ||
|377.4194 | | 377.4194 | ||
|1.2436 | | 1.2436 | ||
|26/21, <small>5/4</small>, <small>21/17</small>, <small>79/64</small> | | 26/21, <small>5/4</small>, <small>21/17</small>, <small>79/64</small> | ||
|vM3 | | vM3 | ||
|- | |- | ||
|40 | | 40 | ||
|387.0968 | | 387.0968 | ||
|1.2506 | | 1.2506 | ||
|'''<big><u>5/4</u></big>''' | | '''<big><u>5/4</u></big>''' | ||
|M3 | | M3 | ||
|- | |- | ||
|41 | | 41 | ||
|396.7742 | | 396.7742 | ||
|1.2576 | | 1.2576 | ||
|24/19, <small>5/4</small>, <small>81/64</small>, <small>19/15</small> | | 24/19, <small>5/4</small>, <small>81/64</small>, <small>19/15</small> | ||
|^M3 | | ^M3 | ||
|- | |- | ||
|42 | | 42 | ||
|406.4516 | | 406.4516 | ||
|1.2646 | | 1.2646 | ||
|'''<big>81/64</big>''', <big>24/19</big>, <big>19/15</big>, <small>14/11</small> | | '''<big>81/64</big>''', <big>24/19</big>, <big>19/15</big>, <small>14/11</small> | ||
|^^M3 | | ^^M3 | ||
|- | |- | ||
|43 | | 43 | ||
|416.129 | | 416.129 | ||
|1.2717 | | 1.2717 | ||
|'''<big>14/11</big>''', 19/15, <small>23/18</small>, <small>81/64</small>, <small>24/19</small>, <small>41/32</small> | | '''<big>14/11</big>''', 19/15, <small>23/18</small>, <small>81/64</small>, <small>24/19</small>, <small>41/32</small> | ||
|^^^M3 | | ^^^M3 | ||
|- | |- | ||
|44 | | 44 | ||
|425.8065 | | 425.8065 | ||
|1.2788 | | 1.2788 | ||
|'''<big>23/18</big>''', <big>41/32</big>, <small>14/11</small>, <small>9/7</small> | | '''<big>23/18</big>''', <big>41/32</big>, <small>14/11</small>, <small>9/7</small> | ||
|^<sup>4</sup>M3 | | ^<sup>4</sup>M3 | ||
|- | |- | ||
|45 | | 45 | ||
|435.4839 | | 435.4839 | ||
|1.286 | | 1.286 | ||
|'''<big><u>9/7</u></big>''', 41/32, <small>22/17</small>, <small>23/18</small>, <small>83/64</small> | | '''<big><u>9/7</u></big>''', 41/32, <small>22/17</small>, <small>23/18</small>, <small>83/64</small> | ||
|vvvA3 | | vvvA3 | ||
|- | |- | ||
|46 | | 46 | ||
|445.1613 | | 445.1613 | ||
|1.2932 | | 1.2932 | ||
|'''<big>22/17</big>''', 83/64, <small>13/10</small>, <small>9/7</small>, <small>30/23</small> | | '''<big>22/17</big>''', 83/64, <small>13/10</small>, <small>9/7</small>, <small>30/23</small> | ||
|vvA3, ^^d4 | | vvA3, ^^d4 | ||
|- | |- | ||
|47 | | 47 | ||
|454.8387 | | 454.8387 | ||
|1.3005 | | 1.3005 | ||
|'''<big><u>13/10</u></big>''', 83/64, 30/23, <small>22/17</small>, <small>17/13</small>, <small>21/16</small> | | '''<big><u>13/10</u></big>''', 83/64, 30/23, <small>22/17</small>, <small>17/13</small>, <small>21/16</small> | ||
|^^^d4 | | ^^^d4 | ||
|- | |- | ||
|48 | | 48 | ||
|464.5161 | | 464.5161 | ||
|1.3078 | | 1.3078 | ||
|'''<big><u>17/13</u></big>''', 30/23, 21/16, <small>13/10</small>, <small>25/19</small>, <small>83/64</small> | | '''<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 | ||
|- | |- | ||
|49 | | 49 | ||
|474.1935 | | 474.1935 | ||
|1.3151 | | 1.3151 | ||
|'''<big><u>25/19</u></big>''', <big>21/16</big>, <small>17/13</small>, <small>30/23</small> | | '''<big><u>25/19</u></big>''', <big>21/16</big>, <small>17/13</small>, <small>30/23</small> | ||
|vvv4 | | vvv4 | ||
|- | |- | ||
|50 | | 50 | ||
|483.871 | | 483.871 | ||
|1.3225 | | 1.3225 | ||
|85/64, <small>25/19</small>, <small>21/16</small>, <small>4/3</small> | | 85/64, <small>25/19</small>, <small>21/16</small>, <small>4/3</small> | ||
|vv4 | | vv4 | ||
|- | |- | ||
|51 | | 51 | ||
|493.5484 | | 493.5484 | ||
|1.3299 | | 1.3299 | ||
|<big>85/64</big>, 4/3 | | <big>85/64</big>, 4/3 | ||
|v4 | | v4 | ||
|- | |- | ||
|52 | | 52 | ||
|503.2258 | | 503.2258 | ||
|1.3373 | | 1.3373 | ||
|4/3, <small>43/32</small>, <small>85/64</small> | | 4/3, <small>43/32</small>, <small>85/64</small> | ||
|P4 | | P4 | ||
|- | |- | ||
|53 | | 53 | ||
|512.9032 | | 512.9032 | ||
|1.3448 | | 1.3448 | ||
|'''<big>43/32</big>''', 27/20, <small>23/17</small>, <small>4/3</small>, <small>19/14</small> | | '''<big>43/32</big>''', 27/20, <small>23/17</small>, <small>4/3</small>, <small>19/14</small> | ||
|^4 | | ^4 | ||
|- | |- | ||
|54 | | 54 | ||
|522.5806 | | 522.5806 | ||
|1.3524 | | 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> | | '''<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 | ||
|- | |- | ||
|55 | | 55 | ||
|532.2581 | | 532.2581 | ||
|1.3599 | | 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> | | '''<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 | ||
|- | |- | ||
|56 | | 56 | ||
|541.9355 | | 541.9355 | ||
|1.3676 | | 1.3676 | ||
|'''<big>26/19</big>''', 15/11, <small>11/8</small>, <small>87/64</small>, <small>19/14</small> | | '''<big>26/19</big>''', 15/11, <small>11/8</small>, <small>87/64</small>, <small>19/14</small> | ||
|~4 | | ~4 | ||
|- | |- | ||
|57 | | 57 | ||
|551.6129 | | 551.6129 | ||
|1.3752 | | 1.3752 | ||
|'''<big><u>11/8</u></big>''', <small>26/19</small>, <small>18/13</small>, <small>15/11</small> | | '''<big><u>11/8</u></big>''', <small>26/19</small>, <small>18/13</small>, <small>15/11</small> | ||
|vvvA4 | | vvvA4 | ||
|- | |- | ||
|58 | | 58 | ||
|561.2903 | | 561.2903 | ||
|1.3829 | | 1.3829 | ||
|<big>18/13</big>, 25/18, <small>89/64</small>, <small>11/8</small>, <small>32/23</small> | | <big>18/13</big>, 25/18, <small>89/64</small>, <small>11/8</small>, <small>32/23</small> | ||
|vvA4 | | vvA4 | ||
|- | |- | ||
|59 | | 59 | ||
|570.9677 | | 570.9677 | ||
|1.3907 | | 1.3907 | ||
|'''<big><u>89/64</u></big>''', '''<big><u>32/23</u></big>''', <big>25/18</big>, 18/13, <small>7/5</small> | | '''<big><u>89/64</u></big>''', '''<big><u>32/23</u></big>''', <big>25/18</big>, 18/13, <small>7/5</small> | ||
|vA4 | | vA4 | ||
|- | |- | ||
|60 | | 60 | ||
|580.6452 | | 580.6452 | ||
|1.3985 | | 1.3985 | ||
|'''<big>7/5</big>''', <small>32/23</small>, <small>45/32</small>, <small>89/64</small>, <small>25/18</small> | | '''<big>7/5</big>''', <small>32/23</small>, <small>45/32</small>, <small>89/64</small>, <small>25/18</small> | ||
|A4 | | A4 | ||
|- | |- | ||
|61 | | 61 | ||
|590.3226 | | 590.3226 | ||
|1.4063 | | 1.4063 | ||
|'''<big><u>45/32</u></big>''', 24/17, 7/5, <small>17/12</small> | | '''<big><u>45/32</u></big>''', 24/17, 7/5, <small>17/12</small> | ||
|^A4 | | ^A4 | ||
|- | |- | ||
|62 | | 62 | ||
|600.0 | | 600.0 | ||
|1.4142 | | 1.4142 | ||
|<big>17/12</big>, <big>24/17</big>, <small>27/19</small>, <small>91/64</small>, <small>45/32</small> | | <big>17/12</big>, <big>24/17</big>, <small>27/19</small>, <small>91/64</small>, <small>45/32</small> | ||
|^^A4, vvd5 | | ^^A4, vvd5 | ||
|- | |- | ||
|63 | | 63 | ||
|609.6774 | | 609.6774 | ||
|1.4221 | | 1.4221 | ||
|'''<big><u>91/64</u></big>''', '''<big>27/19</big>''', 17/12, 10/7, <small>24/17</small>, <small>33/23</small> | | '''<big><u>91/64</u></big>''', '''<big>27/19</big>''', 17/12, 10/7, <small>24/17</small>, <small>33/23</small> | ||
|vd5 | | vd5 | ||
|- | |- | ||
|64 | | 64 | ||
|619.3548 | | 619.3548 | ||
|1.4301 | | 1.4301 | ||
|'''<big>10/7</big>''', 33/23, <small>23/16</small>, <small>91/64</small>, <small>27/19</small> | | '''<big>10/7</big>''', 33/23, <small>23/16</small>, <small>91/64</small>, <small>27/19</small> | ||
|d5 | | d5 | ||
|- | |- | ||
|65 | | 65 | ||
|629.0323 | | 629.0323 | ||
|1.4381 | | 1.4381 | ||
|'''<big><u>23/16</u></big>''', 33/23, 13/9, <small>10/7</small> | | '''<big><u>23/16</u></big>''', 33/23, 13/9, <small>10/7</small> | ||
|^d5 | | ^d5 | ||
|- | |- | ||
|66 | | 66 | ||
|638.7097 | | 638.7097 | ||
|1.4462 | | 1.4462 | ||
|<big>13/9</big>, <small>93/64</small>, <small>16/11</small>, <small>23/16</small>, <small>33/23</small> | | <big>13/9</big>, <small>93/64</small>, <small>16/11</small>, <small>23/16</small>, <small>33/23</small> | ||
|^^d5 | | ^^d5 | ||
|- | |- | ||
|67 | | 67 | ||
|648.3871 | | 648.3871 | ||
|1.4543 | | 1.4543 | ||
|'''<big><u>16/11</u></big>''', '''<big>93/64</big>''', <small>19/13</small>, <small>13/9</small>, <small>22/15</small> | | '''<big><u>16/11</u></big>''', '''<big>93/64</big>''', <small>19/13</small>, <small>13/9</small>, <small>22/15</small> | ||
|^^^d5 | | ^^^d5 | ||
|- | |- | ||
|68 | | 68 | ||
|658.0645 | | 658.0645 | ||
|1.4624 | | 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> | | '''<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 | ||
|- | |- | ||
|69 | | 69 | ||
|667.7419 | | 667.7419 | ||
|1.4706 | | 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> | | '''<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 | ||
|- | |- | ||
|70 | | 70 | ||
|677.4194 | | 677.4194 | ||
|1.4789 | | 1.4789 | ||
|'''<big><u>34/23</u></big>''', 28/19, 95/64, <small>25/17</small>, <small>47/32</small>, <small>22/15</small> | | '''<big><u>34/23</u></big>''', 28/19, 95/64, <small>25/17</small>, <small>47/32</small>, <small>22/15</small> | ||
|vv5 | | vv5 | ||
|- | |- | ||
|71 | | 71 | ||
|687.0968 | | 687.0968 | ||
|1.4872 | | 1.4872 | ||
|<big>95/64</big>, <small>34/23</small>, <small>3/2</small>, <small>28/19</small> | | <big>95/64</big>, <small>34/23</small>, <small>3/2</small>, <small>28/19</small> | ||
|v5 | | v5 | ||
|- | |- | ||
|72 | | 72 | ||
|696.7742 | | 696.7742 | ||
|1.4955 | | 1.4955 | ||
|3/2, <small>95/64</small> | | 3/2, <small>95/64</small> | ||
|P5 | | P5 | ||
|- | |- | ||
|73 | | 73 | ||
|706.4516 | | 706.4516 | ||
|1.5039 | | 1.5039 | ||
|3/2, <small>97/64</small> | | 3/2, <small>97/64</small> | ||
|^5 | | ^5 | ||
|- | |- | ||
|74 | | 74 | ||
|716.129 | | 716.129 | ||
|1.5123 | | 1.5123 | ||
|<big>97/64</big>, <small>35/23</small>, <small>32/21</small>, <small>3/2</small> | | <big>97/64</big>, <small>35/23</small>, <small>32/21</small>, <small>3/2</small> | ||
|^^5 | | ^^5 | ||
|- | |- | ||
|75 | | 75 | ||
|725.8065 | | 725.8065 | ||
|1.5208 | | 1.5208 | ||
|'''<big>35/23</big>''', <big>32/21</big>, 97/64, <small>26/17</small>, <small>49/32</small>, <small>23/15</small> | | '''<big>35/23</big>''', <big>32/21</big>, 97/64, <small>26/17</small>, <small>49/32</small>, <small>23/15</small> | ||
|^^^5 | | ^^^5 | ||
|- | |- | ||
|76 | | 76 | ||
|735.4839 | | 735.4839 | ||
|1.5293 | | 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> | | '''<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 | ||
|- | |- | ||
|77 | | 77 | ||
|745.1613 | | 745.1613 | ||
|1.5379 | | 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> | | '''<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 | ||
|- | |- | ||
|78 | | 78 | ||
|754.8387 | | 754.8387 | ||
|1.5465 | | 1.5465 | ||
|'''<big><u>99/64</u></big>''', '''<big>17/11</big>''', <small>20/13</small>, <small>14/9</small>, <small>23/15</small> | | '''<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 | ||
|- | |- | ||
|79 | | 79 | ||
|764.5161 | | 764.5161 | ||
|1.5552 | | 1.5552 | ||
|'''<big><u>14/9</u></big>''', <small>25/16</small>, <small>99/64</small>, <small>17/11</small>, <small>36/23</small> | | '''<big><u>14/9</u></big>''', <small>25/16</small>, <small>99/64</small>, <small>17/11</small>, <small>36/23</small> | ||
|^^^d6 | | ^^^d6 | ||
|- | |- | ||
|80 | | 80 | ||
|774.1935 | | 774.1935 | ||
|1.5639 | | 1.5639 | ||
|'''<big>36/23</big>''', '''<big>25/16</big>''', <small>11/7</small>, <small>14/9</small>, <small>101/64</small> | | '''<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 | ||
|- | |- | ||
|81 | | 81 | ||
|783.871 | | 783.871 | ||
|1.5727 | | 1.5727 | ||
|'''<big>11/7</big>''', 101/64, 30/19, <small>36/23</small>, <small>25/16</small>, <small>19/12</small> | | '''<big>11/7</big>''', 101/64, 30/19, <small>36/23</small>, <small>25/16</small>, <small>19/12</small> | ||
|vvvm6 | | vvvm6 | ||
|- | |- | ||
|82 | | 82 | ||
|793.5484 | | 793.5484 | ||
|1.5815 | | 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> | | <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 | ||
|- | |- | ||
|83 | | 83 | ||
|803.2258 | | 803.2258 | ||
|1.5904 | | 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> | | '''<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 | ||
|- | |- | ||
|84 | | 84 | ||
|812.9032 | | 812.9032 | ||
|1.5993 | | 1.5993 | ||
|'''<big><u>8/5</u></big>''', 51/32, <small>35/22</small>, <small>103/64</small>, <small>27/17</small> | | '''<big><u>8/5</u></big>''', 51/32, <small>35/22</small>, <small>103/64</small>, <small>27/17</small> | ||
|m6 | | m6 | ||
|- | |- | ||
|85 | | 85 | ||
|822.5806 | | 822.5806 | ||
|1.6082 | | 1.6082 | ||
|'''<big>103/64</big>''', 21/13, <small>8/5</small>, <small>34/21</small>, <small>51/32</small> | | '''<big>103/64</big>''', 21/13, <small>8/5</small>, <small>34/21</small>, <small>51/32</small> | ||
|^m6 | | ^m6 | ||
|- | |- | ||
|86 | | 86 | ||
|832.2581 | | 832.2581 | ||
|1.6173 | | 1.6173 | ||
|'''<big>34/21</big>''', <big>21/13</big>, <small>13/8</small>, <small>103/64</small> | | '''<big>34/21</big>''', <big>21/13</big>, <small>13/8</small>, <small>103/64</small> | ||
|^^m6 | | ^^m6 | ||
|- | |- | ||
|87 | | 87 | ||
|841.9355 | | 841.9355 | ||
|1.6263 | | 1.6263 | ||
|'''<big>13/8</big>''', 34/21, <small>18/11</small>, <small>21/13</small>, <small>105/64</small> | | '''<big>13/8</big>''', 34/21, <small>18/11</small>, <small>21/13</small>, <small>105/64</small> | ||
|^^^m6 | | ^^^m6 | ||
|- | |- | ||
|88 | | 88 | ||
|851.6129 | | 851.6129 | ||
|1.6354 | | 1.6354 | ||
|'''<big><u>18/11</u></big>''', 105/64, 23/14, <small>13/8</small>, <small>28/17</small>, <small>33/20</small> | | '''<big><u>18/11</u></big>''', 105/64, 23/14, <small>13/8</small>, <small>28/17</small>, <small>33/20</small> | ||
|~6 | | ~6 | ||
|- | |- | ||
|89 | | 89 | ||
|861.2903 | | 861.2903 | ||
|1.6446 | | 1.6446 | ||
|'''<big>23/14</big>''', <big>28/17</big>, 105/64, 33/20, 38/23, <small>18/11</small>, <small>53/32</small> | | '''<big>23/14</big>''', <big>28/17</big>, 105/64, 33/20, 38/23, <small>18/11</small>, <small>53/32</small> | ||
|vvvM6 | | vvvM6 | ||
|- | |- | ||
|90 | | 90 | ||
|870.9677 | | 870.9677 | ||
|1.6538 | | 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> | | '''<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 | ||
|- | |- | ||
|91 | | 91 | ||
|880.6452 | | 880.6452 | ||
|1.6631 | | 1.6631 | ||
|<big>5/3</big>, 53/32, <small>107/64</small>, <small>38/23</small>, <small>33/20</small> | | <big>5/3</big>, 53/32, <small>107/64</small>, <small>38/23</small>, <small>33/20</small> | ||
|vM6 | | vM6 | ||
|- | |- | ||
|92 | | 92 | ||
|890.3226 | | 890.3226 | ||
|1.6724 | | 1.6724 | ||
|'''<big><u>107/64</u></big>''', 5/3, <small>32/19</small>, <small>27/16</small> | | '''<big><u>107/64</u></big>''', 5/3, <small>32/19</small>, <small>27/16</small> | ||
|M6 | | M6 | ||
|- | |- | ||
|93 | | 93 | ||
|900.0 | | 900.0 | ||
|1.6818 | | 1.6818 | ||
|<big>32/19</big>, 27/16, <small>107/64</small>, <small>22/13</small>, <small>39/23</small>, <small>5/3</small> | | <big>32/19</big>, 27/16, <small>107/64</small>, <small>22/13</small>, <small>39/23</small>, <small>5/3</small> | ||
|^M6 | | ^M6 | ||
|- | |- | ||
|94 | | 94 | ||
|909.6774 | | 909.6774 | ||
|1.6912 | | 1.6912 | ||
|'''<big>22/13</big>''', <big>27/16</big>, 39/23, 32/19, <small>17/10</small>, <small>109/64</small> | | '''<big>22/13</big>''', <big>27/16</big>, 39/23, 32/19, <small>17/10</small>, <small>109/64</small> | ||
|^^M6 | | ^^M6 | ||
|- | |- | ||
|95 | | 95 | ||
|919.3548 | | 919.3548 | ||
|1.7007 | | 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> | | '''<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 | ||
|- | |- | ||
|96 | | 96 | ||
|929.0323 | | 929.0323 | ||
|1.7102 | | 1.7102 | ||
|12/7, 109/64, <small>55/32</small>, <small>17/10</small>, <small>39/23</small> | | 12/7, 109/64, <small>55/32</small>, <small>17/10</small>, <small>39/23</small> | ||
|^<sup>4</sup>M6 | | ^<sup>4</sup>M6 | ||
|- | |- | ||
|97 | | 97 | ||
|938.7097 | | 938.7097 | ||
|1.7198 | | 1.7198 | ||
|'''<big>55/32</big>''', 12/7, 19/11, <small>26/15</small>, <small>111/64</small> | | '''<big>55/32</big>''', 12/7, 19/11, <small>26/15</small>, <small>111/64</small> | ||
|vvvA6 | | vvvA6 | ||
|- | |- | ||
|98 | | 98 | ||
|948.3871 | | 948.3871 | ||
|1.7295 | | 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> | | <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 | ||
|- | |- | ||
|99 | | 99 | ||
|958.0645 | | 958.0645 | ||
|1.7392 | | 1.7392 | ||
|'''<big><u>40/23</u></big>''', <big>33/19</big>, 111/64, 26/15, <small>7/4</small>, <small>19/11</small> | | '''<big><u>40/23</u></big>''', <big>33/19</big>, 111/64, 26/15, <small>7/4</small>, <small>19/11</small> | ||
|^^^d7 | | ^^^d7 | ||
|- | |- | ||
|100 | | 100 | ||
|967.7419 | | 967.7419 | ||
|1.7489 | | 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> | | '''<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 | ||
|- | |- | ||
|101 | | 101 | ||
|977.4194 | | 977.4194 | ||
|1.7587 | | 1.7587 | ||
|30/17, 113/64, <small>7/4</small>, <small>23/13</small>, <small>39/22</small> | | 30/17, 113/64, <small>7/4</small>, <small>23/13</small>, <small>39/22</small> | ||
|vvvm7 | | vvvm7 | ||
|- | |- | ||
|102 | | 102 | ||
|987.0968 | | 987.0968 | ||
|1.7686 | | 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> | | '''<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 | ||
|- | |- | ||
|103 | | 103 | ||
|996.7742 | | 996.7742 | ||
|1.7785 | | 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> | | '''<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 | ||
|- | |- | ||
|104 | | 104 | ||
|1006.4516 | | 1006.4516 | ||
|1.7884 | | 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> | | '''<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 | ||
|- | |- | ||
|105 | | 105 | ||
|1016.129 | | 1016.129 | ||
|1.7985 | | 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> | | '''<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 | ||
|- | |- | ||
|106 | | 106 | ||
|1025.8065 | | 1025.8065 | ||
|1.8086 | | 1.8086 | ||
|'''<big><u>38/21</u></big>''', <big>29/16</big>, <small>9/5</small>, <small>20/11</small>, <small>115/64</small> | | '''<big><u>38/21</u></big>''', <big>29/16</big>, <small>9/5</small>, <small>20/11</small>, <small>115/64</small> | ||
|^^m7 | | ^^m7 | ||
|- | |- | ||
|107 | | 107 | ||
|1035.4839 | | 1035.4839 | ||
|1.8187 | | 1.8187 | ||
|'''<big><u>20/11</u></big>''', 29/16, 42/23, <small>38/21</small>, <small>117/64</small>, <small>11/6</small> | | '''<big><u>20/11</u></big>''', 29/16, 42/23, <small>38/21</small>, <small>117/64</small>, <small>11/6</small> | ||
|^^^m7 | | ^^^m7 | ||
|- | |- | ||
|108 | | 108 | ||
|1045.1613 | | 1045.1613 | ||
|1.8289 | | 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> | | '''<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 | ||
|- | |- | ||
|109 | | 109 | ||
|1054.8387 | | 1054.8387 | ||
|1.8391 | | 1.8391 | ||
|<big>35/19</big>, 59/32, 11/6, 24/13, <small>117/64</small>, <small>42/23</small> | | <big>35/19</big>, 59/32, 11/6, 24/13, <small>117/64</small>, <small>42/23</small> | ||
|vvvM7 | | vvvM7 | ||
|- | |- | ||
|110 | | 110 | ||
|1064.5161 | | 1064.5161 | ||
|1.8495 | | 1.8495 | ||
|<big>24/13</big>, 59/32, 35/19, 13/7, <small>119/64</small>, <small>11/6</small> | | <big>24/13</big>, 59/32, 35/19, 13/7, <small>119/64</small>, <small>11/6</small> | ||
|vvM7 | | vvM7 | ||
|- | |- | ||
|111 | | 111 | ||
|1074.1935 | | 1074.1935 | ||
|1.8598 | | 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> | | '''<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 | ||
|- | |- | ||
|112 | | 112 | ||
|1083.871 | | 1083.871 | ||
|1.8702 | | 1.8702 | ||
|<big>28/15</big>, 15/8, <small>119/64</small>, <small>32/17</small>, <small>13/7</small> | | <big>28/15</big>, 15/8, <small>119/64</small>, <small>32/17</small>, <small>13/7</small> | ||
|M7 | | M7 | ||
|- | |- | ||
|113 | | 113 | ||
|1093.5484 | | 1093.5484 | ||
|1.8807 | | 1.8807 | ||
|'''<big>32/17</big>''', 15/8, 17/9, <small>121/64</small>, <small>36/19</small>, <small>28/15</small> | | '''<big>32/17</big>''', 15/8, 17/9, <small>121/64</small>, <small>36/19</small>, <small>28/15</small> | ||
|^M7 | | ^M7 | ||
|- | |- | ||
|114 | | 114 | ||
|1103.2258 | | 1103.2258 | ||
|1.8913 | | 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> | | '''<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 | ||
|- | |- | ||
|115 | | 115 | ||
|1112.9032 | | 1112.9032 | ||
|1.9019 | | 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> | | '''<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 | ||
|- | |- | ||
|116 | | 116 | ||
|1122.5806 | | 1122.5806 | ||
|1.9125 | | 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> | | '''<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 | ||
|- | |- | ||
|117 | | 117 | ||
|1132.2581 | | 1132.2581 | ||
|1.9233 | | 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> | | '''<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 | ||
|- | |- | ||
|118 | | 118 | ||
|1141.9355 | | 1141.9355 | ||
|1.934 | | 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> | | <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 | | vvA7, ^^d1 +1 oct | ||
|- | |- | ||
|119 | | 119 | ||
|1151.6129 | | 1151.6129 | ||
|1.9449 | | 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> | | '''<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 | | ^^^d1 +1 oct | ||
|- | |- | ||
|120 | | 120 | ||
|1161.2903 | | 1161.2903 | ||
|1.9558 | | 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> | | '''<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 | | v<sup>4</sup>1 +1 oct | ||
|- | |- | ||
|121 | | 121 | ||
|1170.9677 | | 1170.9677 | ||
|1.9667 | | 1.9667 | ||
|'''<big>63/32</big>''', <small>45/23</small>, <small>125/64</small>, <small>39/20</small>, <small>127/64</small> | | '''<big>63/32</big>''', <small>45/23</small>, <small>125/64</small>, <small>39/20</small>, <small>127/64</small> | ||
|vvv1 +1 oct | | vvv1 +1 oct | ||
|- | |- | ||
|122 | | 122 | ||
|1180.6452 | | 1180.6452 | ||
|1.9778 | | 1.9778 | ||
|127/64, 63/32 | | 127/64, 63/32 | ||
|vv1 +1 oct | | vv1 +1 oct | ||
|- | |- | ||
|123 | | 123 | ||
|1190.3226 | | 1190.3226 | ||
|1.9889 | | 1.9889 | ||
|<big>127/64</big> | | <big>127/64</big> | ||
|v1 +1 oct | | v1 +1 oct | ||
|- | |- | ||
|124 | | 124 | ||
|1200.0 | | 1200.0 | ||
|2.0 | | 2.0 | ||
|'''<big><u>2/1</u></big>''' | | '''<big><u>2/1</u></big>''' | ||
|P1 + 1 oct | | P1 +1 oct | ||
|- | |- | ||
|colspan=" | | colspan="5" style="padding-left: 1em;" | <nowiki />* JI ratio approximations are comprised of 23 limit ratios and the odd harmonics up to 127.<br /> | ||
JI | : The JI Ratio Approximations are stylized as follows to indicate accuracy: | ||
The JI Ratio Approximations are stylized as follows to indicate accuracy: | :* '''<big><u>Big Bold Underlined:</u></big>''' absolute cent error < 1 cent. | ||
* '''<big><u>Big Bold Underlined:</u></big>''' absolute cent error < 1 cent. | :* <big>'''Big Bold:'''</big> absolute cent error < 2 cents. | ||
* <big>'''Big Bold:'''</big> absolute cent error < 2 cents. | :* <big>Big:</big> absolute cent error < 4 cents. | ||
* <big>Big:</big> absolute cent error < 4 cents. | :* Normal: absolute cent error < 8 cents. | ||
* Normal: absolute cent error < 8 cents. | :* <small>Small:</small> absolute cent error < 16 cents. | ||
* <small>Small:</small> absolute cent error < 16 cents. | |||
|} | |} | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||