User:Contribution/My Sandbox: Difference between revisions

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99edt divides the tritave in 99 equal steps and the octave in 62.46204560357428 equal steps of 19.211666675407955 cents each.
Its 31-limit patent val is <62 99 145 175 216 231 255 265 283 303 309|.


{| class="wikitable sortable"
|+
!Factorization
!Ratio
!Cents value
!FJS
!Approximate degree
!Cents value
!Absolute error (cents)
!Relative error (%)
!Consistent
!Consistent degree
!Cents value
!Absolute error (cents)
!Relative error (%)
|-
| '''<span style="color: #008000;"></span>'''
| '''<span style="color: #008000;">1/1</span>'''
| '''<span style="color: #008000;">0</span>'''
| '''<span style="color: #008000;">P1</span>'''
| '''<span style="color: #008000;">0</span>'''
| '''<span style="color: #008000;">0</span>'''
| '''<span style="color: #008000;">0</span>'''
| '''<span style="color: #008000;">0</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">0</span>'''
| '''<span style="color: #008000;">0</span>'''
| '''<span style="color: #008000;">0</span>'''
| '''<span style="color: #008000;">0</span>'''
|-
| ''<span style="color: #008000;">3<sup>-5</sup>⋅5<sup>1</sup>⋅7<sup>2</sup></span>''
| ''<span style="color: #008000;">245/243</span>''
| ''<span style="color: #008000;">14.19052247615</span>''
| ''<span style="color: #008000;">m2<sup>5,7,7</sup></span>''
| ''<span style="color: #008000;">1</span>''
| ''<span style="color: #008000;">19.21166667541</span>''
| ''<span style="color: #008000;">5.02114419926</span>''
| ''<span style="color: #008000;">26.13591149636</span>''
| ''<span style="color: #FF8000;">NO</span>''
| ''<span style="color: #FF8000;">0</span>''
| ''<span style="color: #FF8000;">0</span>''
| ''<span style="color: #FF8000;">-14.19052247615</span>''
| ''<span style="color: #FF8000;">-73.86408850364</span>''
|-
| '''<span style="color: #FF8000;">3<sup>4</sup>⋅7<sup>-1</sup>⋅11<sup>-1</sup></span>'''
| '''<span style="color: #FF8000;">81/77</span>'''
| '''<span style="color: #FF8000;">87.67615462767</span>'''
| '''<span style="color: #FF8000;">A1<sub>7,11</sub></span>'''
| '''<span style="color: #FF8000;">5</span>'''
| '''<span style="color: #FF8000;">96.05833337704</span>'''
| '''<span style="color: #FF8000;">8.38217874937</span>'''
| '''<span style="color: #FF8000;">43.63066927505</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">5</span>'''
| '''<span style="color: #FF8000;">96.05833337704</span>'''
| '''<span style="color: #FF8000;">8.38217874937</span>'''
| '''<span style="color: #FF8000;">43.63066927505</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>-3</sup>⋅29<sup>1</sup></span>'''
| '''<span style="color: #FF8000;">29/27</span>'''
| '''<span style="color: #FF8000;">123.71219155692</span>'''
| '''<span style="color: #FF8000;">m2<sup>29</sup></span>'''
| '''<span style="color: #FF8000;">6</span>'''
| '''<span style="color: #FF8000;">115.27000005245</span>'''
| '''<span style="color: #FF8000;">-8.44219150448</span>'''
| '''<span style="color: #FF8000;">-43.94304589556</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">6</span>'''
| '''<span style="color: #FF8000;">115.27000005245</span>'''
| '''<span style="color: #FF8000;">-8.44219150448</span>'''
| '''<span style="color: #FF8000;">-43.94304589556</span>'''
|-
| '''<span style="color: #008000;">3<sup>3</sup>⋅5<sup>-2</sup></span>'''
| '''<span style="color: #008000;">27/25</span>'''
| '''<span style="color: #008000;">133.23757486649</span>'''
| '''<span style="color: #008000;">m2<sub>5,5</sub></span>'''
| '''<span style="color: #008000;">7</span>'''
| '''<span style="color: #008000;">134.48166672786</span>'''
| '''<span style="color: #008000;">1.24409186136</span>'''
| '''<span style="color: #008000;">6.47571021496</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">7</span>'''
| '''<span style="color: #008000;">134.48166672786</span>'''
| '''<span style="color: #008000;">1.24409186136</span>'''
| '''<span style="color: #008000;">6.47571021496</span>'''
|-
| ''<span style="color: #FF8000;">3<sup>-2</sup>⋅5<sup>-1</sup>⋅7<sup>2</sup></span>''
| ''<span style="color: #FF8000;">49/45</span>''
| ''<span style="color: #FF8000;">147.42809734264</span>''
| ''<span style="color: #FF8000;">d3<sup>7,7</sup><sub>5</sub></span>''
| ''<span style="color: #FF8000;">8</span>''
| ''<span style="color: #FF8000;">153.69333340326</span>''
| ''<span style="color: #FF8000;">6.26523606062</span>''
| ''<span style="color: #FF8000;">32.61162171132</span>''
| ''<span style="color: #FF8000;">NO</span>''
| ''<span style="color: #FF8000;">7</span>''
| ''<span style="color: #FF8000;">134.48166672786</span>''
| ''<span style="color: #FF8000;">-12.94643061478</span>''
| ''<span style="color: #FF8000;">-67.38837828868</span>''
|-
| '''<span style="color: #FF8000;">3<sup>-4</sup>⋅7<sup>1</sup>⋅13<sup>1</sup></span>'''
| '''<span style="color: #FF8000;">91/81</span>'''
| '''<span style="color: #FF8000;">201.53356477689</span>'''
| '''<span style="color: #FF8000;">d3<sup>7,13</sup></span>'''
| '''<span style="color: #FF8000;">10</span>'''
| '''<span style="color: #FF8000;">192.11666675408</span>'''
| '''<span style="color: #FF8000;">-9.41689802281</span>'''
| '''<span style="color: #FF8000;">-49.01655947873</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">10</span>'''
| '''<span style="color: #FF8000;">192.11666675408</span>'''
| '''<span style="color: #FF8000;">-9.41689802281</span>'''
| '''<span style="color: #FF8000;">-49.01655947873</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>-3</sup>⋅31<sup>1</sup></span>'''
| '''<span style="color: #FF8000;">31/27</span>'''
| '''<span style="color: #FF8000;">239.17056986809</span>'''
| '''<span style="color: #FF8000;">M2<sup>31</sup></span>'''
| '''<span style="color: #FF8000;">12</span>'''
| '''<span style="color: #FF8000;">230.54000010490</span>'''
| '''<span style="color: #FF8000;">-8.63056976319</span>'''
| '''<span style="color: #FF8000;">-44.92358684445</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">12</span>'''
| '''<span style="color: #FF8000;">230.54000010490</span>'''
| '''<span style="color: #FF8000;">-8.63056976319</span>'''
| '''<span style="color: #FF8000;">-44.92358684445</span>'''
|-
| '''<span style="color: #008000;">3<sup>1</sup>⋅5<sup>1</sup>⋅13<sup>-1</sup></span>'''
| '''<span style="color: #008000;">15/13</span>'''
| '''<span style="color: #008000;">247.74105296091</span>'''
| '''<span style="color: #008000;">A2<sup>5</sup><sub>13</sub></span>'''
| '''<span style="color: #008000;">13</span>'''
| '''<span style="color: #008000;">249.75166678030</span>'''
| '''<span style="color: #008000;">2.01061381939</span>'''
| '''<span style="color: #008000;">10.46558767317</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">13</span>'''
| '''<span style="color: #008000;">249.75166678030</span>'''
| '''<span style="color: #008000;">2.01061381939</span>'''
| '''<span style="color: #008000;">10.46558767317</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>3</sup>⋅23<sup>-1</sup></span>'''
| '''<span style="color: #FF8000;">27/23</span>'''
| '''<span style="color: #FF8000;">277.59065532775</span>'''
| '''<span style="color: #FF8000;">m3<sub>23</sub></span>'''
| '''<span style="color: #FF8000;">14</span>'''
| '''<span style="color: #FF8000;">268.96333345571</span>'''
| '''<span style="color: #FF8000;">-8.62732187204</span>'''
| '''<span style="color: #FF8000;">-44.90668101732</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">14</span>'''
| '''<span style="color: #FF8000;">268.96333345571</span>'''
| '''<span style="color: #FF8000;">-8.62732187204</span>'''
| '''<span style="color: #FF8000;">-44.90668101732</span>'''
|-
| '''<span style="color: #008000;">11<sup>-1</sup>⋅13<sup>1</sup></span>'''
| '''<span style="color: #008000;">13/11</span>'''
| '''<span style="color: #008000;">289.20971940455</span>'''
| '''<span style="color: #008000;">m3<sup>13</sup><sub>11</sub></span>'''
| '''<span style="color: #008000;">15</span>'''
| '''<span style="color: #008000;">288.17500013112</span>'''
| '''<span style="color: #008000;">-1.03471927343</span>'''
| '''<span style="color: #008000;">-5.38589020368</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">15</span>'''
| '''<span style="color: #008000;">288.17500013112</span>'''
| '''<span style="color: #008000;">-1.03471927343</span>'''
| '''<span style="color: #008000;">-5.38589020368</span>'''
|-
| '''<span style="color: #008000;">3<sup>-1</sup>⋅5<sup>2</sup>⋅7<sup>-1</sup></span>'''
| '''<span style="color: #008000;">25/21</span>'''
| '''<span style="color: #008000;">301.84652039516</span>'''
| '''<span style="color: #008000;">A2<sup>5,5</sup><sub>7</sub></span>'''
| '''<span style="color: #008000;">16</span>'''
| '''<span style="color: #008000;">307.38666680653</span>'''
| '''<span style="color: #008000;">5.54014641137</span>'''
| '''<span style="color: #008000;">28.83740648312</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">16</span>'''
| '''<span style="color: #008000;">307.38666680653</span>'''
| '''<span style="color: #008000;">5.54014641137</span>'''
| '''<span style="color: #008000;">28.83740648312</span>'''
|-
| '''<span style="color: #008000;">3<sup>-2</sup>⋅11<sup>1</sup></span>'''
| '''<span style="color: #008000;">11/9</span>'''
| '''<span style="color: #008000;">347.40794063398</span>'''
| '''<span style="color: #008000;">m3<sup>11</sup></span>'''
| '''<span style="color: #008000;">18</span>'''
| '''<span style="color: #008000;">345.81000015734</span>'''
| '''<span style="color: #008000;">-1.59794047664</span>'''
| '''<span style="color: #008000;">-8.31755257697</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">18</span>'''
| '''<span style="color: #008000;">345.81000015734</span>'''
| '''<span style="color: #008000;">-1.59794047664</span>'''
| '''<span style="color: #008000;">-8.31755257697</span>'''
|-
| '''<span style="color: #008000;">3<sup>4</sup>⋅5<sup>-1</sup>⋅13<sup>-1</sup></span>'''
| '''<span style="color: #008000;">81/65</span>'''
| '''<span style="color: #008000;">380.97862782740</span>'''
| '''<span style="color: #008000;">M3<sub>5,13</sub></span>'''
| '''<span style="color: #008000;">20</span>'''
| '''<span style="color: #008000;">384.23333350816</span>'''
| '''<span style="color: #008000;">3.25470568075</span>'''
| '''<span style="color: #008000;">16.94129788813</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">20</span>'''
| '''<span style="color: #008000;">384.23333350816</span>'''
| '''<span style="color: #008000;">3.25470568075</span>'''
| '''<span style="color: #008000;">16.94129788813</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>2</sup>⋅7<sup>-1</sup></span>'''
| '''<span style="color: #FF8000;">9/7</span>'''
| '''<span style="color: #FF8000;">435.08409526165</span>'''
| '''<span style="color: #FF8000;">M3<sub>7</sub></span>'''
| '''<span style="color: #FF8000;">23</span>'''
| '''<span style="color: #FF8000;">441.86833353438</span>'''
| '''<span style="color: #FF8000;">6.78423827273</span>'''
| '''<span style="color: #FF8000;">35.31311669808</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">23</span>'''
| '''<span style="color: #FF8000;">441.86833353438</span>'''
| '''<span style="color: #FF8000;">6.78423827273</span>'''
| '''<span style="color: #FF8000;">35.31311669808</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>-3</sup>⋅5<sup>1</sup>⋅7<sup>1</sup></span>'''
| '''<span style="color: #FF8000;">35/27</span>'''
| '''<span style="color: #FF8000;">449.27461773780</span>'''
| '''<span style="color: #FF8000;">P4<sup>5,7</sup></span>'''
| '''<span style="color: #FF8000;">23</span>'''
| '''<span style="color: #FF8000;">441.86833353438</span>'''
| '''<span style="color: #FF8000;">-7.40628420341</span>'''
| '''<span style="color: #FF8000;">-38.55097180556</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">23</span>'''
| '''<span style="color: #FF8000;">441.86833353438</span>'''
| '''<span style="color: #FF8000;">-7.40628420341</span>'''
| '''<span style="color: #FF8000;">-38.55097180556</span>'''
|-
| '''<span style="color: #008000;">3<sup>1</sup>⋅5<sup>1</sup>⋅11<sup>-1</sup></span>'''
| '''<span style="color: #008000;">15/11</span>'''
| '''<span style="color: #008000;">536.95077236547</span>'''
| '''<span style="color: #008000;">A4<sup>5</sup><sub>11</sub></span>'''
| '''<span style="color: #008000;">28</span>'''
| '''<span style="color: #008000;">537.92666691142</span>'''
| '''<span style="color: #008000;">0.97589454596</span>'''
| '''<span style="color: #008000;">5.07969746949</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">28</span>'''
| '''<span style="color: #008000;">537.92666691142</span>'''
| '''<span style="color: #008000;">0.97589454596</span>'''
| '''<span style="color: #008000;">5.07969746949</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>5</sup>⋅5<sup>-2</sup>⋅7<sup>-1</sup></span>'''
| '''<span style="color: #FF8000;">243/175</span>'''
| '''<span style="color: #FF8000;">568.32167012814</span>'''
| '''<span style="color: #FF8000;">P4<sub>5,5,7</sub></span>'''
| '''<span style="color: #FF8000;">30</span>'''
| '''<span style="color: #FF8000;">576.35000026224</span>'''
| '''<span style="color: #FF8000;">8.02833013410</span>'''
| '''<span style="color: #FF8000;">41.78882691304</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">30</span>'''
| '''<span style="color: #FF8000;">576.35000026224</span>'''
| '''<span style="color: #FF8000;">8.02833013410</span>'''
| '''<span style="color: #FF8000;">41.78882691304</span>'''
|-
| '''<span style="color: #FF8000;">5<sup>-1</sup>⋅7<sup>1</sup></span>'''
| '''<span style="color: #FF8000;">7/5</span>'''
| '''<span style="color: #FF8000;">582.51219260429</span>'''
| '''<span style="color: #FF8000;">d5<sup>7</sup><sub>5</sub></span>'''
| '''<span style="color: #FF8000;">30</span>'''
| '''<span style="color: #FF8000;">576.35000026224</span>'''
| '''<span style="color: #FF8000;">-6.16219234205</span>'''
| '''<span style="color: #FF8000;">-32.07526159060</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">30</span>'''
| '''<span style="color: #FF8000;">576.35000026224</span>'''
| '''<span style="color: #FF8000;">-6.16219234205</span>'''
| '''<span style="color: #FF8000;">-32.07526159060</span>'''
|-
| ''<span style="color: #008000;">3<sup>-5</sup>⋅7<sup>3</sup></span>''
| ''<span style="color: #008000;">343/243</span>''
| ''<span style="color: #008000;">596.70271508044</span>''
| ''<span style="color: #008000;">d6<sup>7,7,7</sup></span>''
| ''<span style="color: #008000;">31</span>''
| ''<span style="color: #008000;">595.56166693765</span>''
| ''<span style="color: #008000;">-1.14104814279</span>''
| ''<span style="color: #008000;">-5.93935009424</span>''
| ''<span style="color: #FF0000;">NO</span>''
| ''<span style="color: #FF0000;">30</span>''
| ''<span style="color: #FF0000;">576.35000026224</span>''
| ''<span style="color: #FF0000;">-20.35271481820</span>''
| ''<span style="color: #FF0000;">-105.93935009424</span>''
|-
| '''<span style="color: #FF8000;">3<sup>3</sup>⋅19<sup>-1</sup></span>'''
| '''<span style="color: #FF8000;">27/19</span>'''
| '''<span style="color: #FF8000;">608.35198646386</span>'''
| '''<span style="color: #FF8000;">A4<sub>19</sub></span>'''
| '''<span style="color: #FF8000;">32</span>'''
| '''<span style="color: #FF8000;">614.77333361305</span>'''
| '''<span style="color: #FF8000;">6.42134714919</span>'''
| '''<span style="color: #FF8000;">33.42420653912</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">32</span>'''
| '''<span style="color: #FF8000;">614.77333361305</span>'''
| '''<span style="color: #FF8000;">6.42134714919</span>'''
| '''<span style="color: #FF8000;">33.42420653912</span>'''
|-
| '''<span style="color: #008000;">3<sup>5</sup>⋅13<sup>-2</sup></span>'''
| '''<span style="color: #008000;">243/169</span>'''
| '''<span style="color: #008000;">628.71968078832</span>'''
| '''<span style="color: #008000;">AA4<sub>13,13</sub></span>'''
| '''<span style="color: #008000;">33</span>'''
| '''<span style="color: #008000;">633.98500028846</span>'''
| '''<span style="color: #008000;">5.26531950015</span>'''
| '''<span style="color: #008000;">27.40688556130</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">33</span>'''
| '''<span style="color: #008000;">633.98500028846</span>'''
| '''<span style="color: #008000;">5.26531950015</span>'''
| '''<span style="color: #008000;">27.40688556130</span>'''
|-
| '''<span style="color: #008000;">3<sup>-2</sup>⋅13<sup>1</sup></span>'''
| '''<span style="color: #008000;">13/9</span>'''
| '''<span style="color: #008000;">636.61766003854</span>'''
| '''<span style="color: #008000;">d5<sup>13</sup></span>'''
| '''<span style="color: #008000;">33</span>'''
| '''<span style="color: #008000;">633.98500028846</span>'''
| '''<span style="color: #008000;">-2.63265975007</span>'''
| '''<span style="color: #008000;">-13.70344278065</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">33</span>'''
| '''<span style="color: #008000;">633.98500028846</span>'''
| '''<span style="color: #008000;">-2.63265975007</span>'''
| '''<span style="color: #008000;">-13.70344278065</span>'''
|-
| '''<span style="color: #008000;">3<sup>4</sup>⋅5<sup>-1</sup>⋅11<sup>-1</sup></span>'''
| '''<span style="color: #008000;">81/55</span>'''
| '''<span style="color: #008000;">670.18834723196</span>'''
| '''<span style="color: #008000;">P5<sub>5,11</sub></span>'''
| '''<span style="color: #008000;">35</span>'''
| '''<span style="color: #008000;">672.40833363928</span>'''
| '''<span style="color: #008000;">2.21998640732</span>'''
| '''<span style="color: #008000;">11.55540768445</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">35</span>'''
| '''<span style="color: #008000;">672.40833363928</span>'''
| '''<span style="color: #008000;">2.21998640732</span>'''
| '''<span style="color: #008000;">11.55540768445</span>'''
|-
| '''<span style="color: #008000;">3<sup>-4</sup>⋅11<sup>2</sup></span>'''
| '''<span style="color: #008000;">121/81</span>'''
| '''<span style="color: #008000;">694.81588126796</span>'''
| '''<span style="color: #008000;">d5<sup>11,11</sup></span>'''
| '''<span style="color: #008000;">36</span>'''
| '''<span style="color: #008000;">691.62000031469</span>'''
| '''<span style="color: #008000;">-3.19588095328</span>'''
| '''<span style="color: #008000;">-16.63510515393</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">36</span>'''
| '''<span style="color: #008000;">691.62000031469</span>'''
| '''<span style="color: #008000;">-3.19588095328</span>'''
| '''<span style="color: #008000;">-16.63510515393</span>'''
|-
| '''<span style="color: #008000;">3<sup>-4</sup>⋅5<sup>3</sup></span>'''
| '''<span style="color: #008000;">125/81</span>'''
| '''<span style="color: #008000;">751.12113813295</span>'''
| '''<span style="color: #008000;">A5<sup>5,5,5</sup></span>'''
| '''<span style="color: #008000;">39</span>'''
| '''<span style="color: #008000;">749.25500034091</span>'''
| '''<span style="color: #008000;">-1.86613779204</span>'''
| '''<span style="color: #008000;">-9.71356532244</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">39</span>'''
| '''<span style="color: #008000;">749.25500034091</span>'''
| '''<span style="color: #008000;">-1.86613779204</span>'''
| '''<span style="color: #008000;">-9.71356532244</span>'''
|-
| '''<span style="color: #008000;">7<sup>-1</sup>⋅11<sup>1</sup></span>'''
| '''<span style="color: #008000;">11/7</span>'''
| '''<span style="color: #008000;">782.49203589563</span>'''
| '''<span style="color: #008000;">P5<sup>11</sup><sub>7</sub></span>'''
| '''<span style="color: #008000;">41</span>'''
| '''<span style="color: #008000;">787.67833369173</span>'''
| '''<span style="color: #008000;">5.18629779609</span>'''
| '''<span style="color: #008000;">26.99556412111</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">41</span>'''
| '''<span style="color: #008000;">787.67833369173</span>'''
| '''<span style="color: #008000;">5.18629779609</span>'''
| '''<span style="color: #008000;">26.99556412111</span>'''
|-
| '''<span style="color: #008000;">3<sup>3</sup>⋅17<sup>-1</sup></span>'''
| '''<span style="color: #008000;">27/17</span>'''
| '''<span style="color: #008000;">800.90959309575</span>'''
| '''<span style="color: #008000;">A5<sub>17</sub></span>'''
| '''<span style="color: #008000;">42</span>'''
| '''<span style="color: #008000;">806.89000036713</span>'''
| '''<span style="color: #008000;">5.98040727138</span>'''
| '''<span style="color: #008000;">31.12903930940</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">42</span>'''
| '''<span style="color: #008000;">806.89000036713</span>'''
| '''<span style="color: #008000;">5.98040727138</span>'''
| '''<span style="color: #008000;">31.12903930940</span>'''
|-
| '''<span style="color: #008000;">3<sup>1</sup>⋅7<sup>1</sup>⋅13<sup>-1</sup></span>'''
| '''<span style="color: #008000;">21/13</span>'''
| '''<span style="color: #008000;">830.25324556520</span>'''
| '''<span style="color: #008000;">M6<sup>7</sup><sub>13</sub></span>'''
| '''<span style="color: #008000;">43</span>'''
| '''<span style="color: #008000;">826.10166704254</span>'''
| '''<span style="color: #008000;">-4.15157852266</span>'''
| '''<span style="color: #008000;">-21.60967391743</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">43</span>'''
| '''<span style="color: #008000;">826.10166704254</span>'''
| '''<span style="color: #008000;">-4.15157852266</span>'''
| '''<span style="color: #008000;">-21.60967391743</span>'''
|-
| ''<span style="color: #008000;">3<sup>4</sup>⋅7<sup>-2</sup></span>''
| ''<span style="color: #008000;">81/49</span>''
| ''<span style="color: #008000;">870.16819052330</span>''
| ''<span style="color: #008000;">A5<sub>7,7</sub></span>''
| ''<span style="color: #008000;">45</span>''
| ''<span style="color: #008000;">864.52500039336</span>''
| ''<span style="color: #008000;">-5.64319012994</span>''
| ''<span style="color: #008000;">-29.37376660384</span>''
| ''<span style="color: #FF8000;">NO</span>''
| ''<span style="color: #FF8000;">46</span>''
| ''<span style="color: #FF8000;">883.73666706877</span>''
| ''<span style="color: #FF8000;">13.56847654547</span>''
| ''<span style="color: #FF8000;">70.62623339616</span>''
|-
| '''<span style="color: #008000;">3<sup>-1</sup>⋅5<sup>1</sup></span>'''
| '''<span style="color: #008000;">5/3</span>'''
| '''<span style="color: #008000;">884.35871299945</span>'''
| '''<span style="color: #008000;">M6<sup>5</sup></span>'''
| '''<span style="color: #008000;">46</span>'''
| '''<span style="color: #008000;">883.73666706877</span>'''
| '''<span style="color: #008000;">-0.62204593068</span>'''
| '''<span style="color: #008000;">-3.23785510748</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">46</span>'''
| '''<span style="color: #008000;">883.73666706877</span>'''
| '''<span style="color: #008000;">-0.62204593068</span>'''
| '''<span style="color: #008000;">-3.23785510748</span>'''
|-
| '''<span style="color: #008000;">3<sup>5</sup>⋅11<sup>-1</sup>⋅13<sup>-1</sup></span>'''
| '''<span style="color: #008000;">243/143</span>'''
| '''<span style="color: #008000;">917.92940019287</span>'''
| '''<span style="color: #008000;">A6<sub>11,13</sub></span>'''
| '''<span style="color: #008000;">48</span>'''
| '''<span style="color: #008000;">922.16000041958</span>'''
| '''<span style="color: #008000;">4.23060022671</span>'''
| '''<span style="color: #008000;">22.02099535762</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">48</span>'''
| '''<span style="color: #008000;">922.16000041958</span>'''
| '''<span style="color: #008000;">4.23060022671</span>'''
| '''<span style="color: #008000;">22.02099535762</span>'''
|-
| '''<span style="color: #008000;">3<sup>-4</sup>⋅11<sup>1</sup>⋅13<sup>1</sup></span>'''
| '''<span style="color: #008000;">143/81</span>'''
| '''<span style="color: #008000;">984.02560067252</span>'''
| '''<span style="color: #008000;">d7<sup>11,13</sup></span>'''
| '''<span style="color: #008000;">51</span>'''
| '''<span style="color: #008000;">979.79500044581</span>'''
| '''<span style="color: #008000;">-4.23060022671</span>'''
| '''<span style="color: #008000;">-22.02099535761</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">51</span>'''
| '''<span style="color: #008000;">979.79500044581</span>'''
| '''<span style="color: #008000;">-4.23060022671</span>'''
| '''<span style="color: #008000;">-22.02099535761</span>'''
|-
| '''<span style="color: #008000;">3<sup>2</sup>⋅5<sup>-1</sup></span>'''
| '''<span style="color: #008000;">9/5</span>'''
| '''<span style="color: #008000;">1017.59628786594</span>'''
| '''<span style="color: #008000;">m7<sub>5</sub></span>'''
| '''<span style="color: #008000;">53</span>'''
| '''<span style="color: #008000;">1018.21833379662</span>'''
| '''<span style="color: #008000;">0.62204593068</span>'''
| '''<span style="color: #008000;">3.23785510748</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">53</span>'''
| '''<span style="color: #008000;">1018.21833379662</span>'''
| '''<span style="color: #008000;">0.62204593068</span>'''
| '''<span style="color: #008000;">3.23785510748</span>'''
|-
| ''<span style="color: #008000;">3<sup>-3</sup>⋅7<sup>2</sup></span>''
| ''<span style="color: #008000;">49/27</span>''
| ''<span style="color: #008000;">1031.78681034209</span>''
| ''<span style="color: #008000;">d8<sup>7,7</sup></span>''
| ''<span style="color: #008000;">54</span>''
| ''<span style="color: #008000;">1037.43000047203</span>''
| ''<span style="color: #008000;">5.64319012994</span>''
| ''<span style="color: #008000;">29.37376660384</span>''
| ''<span style="color: #FF8000;">NO</span>''
| ''<span style="color: #FF8000;">53</span>''
| ''<span style="color: #FF8000;">1018.21833379662</span>''
| ''<span style="color: #FF8000;">-13.56847654547</span>''
| ''<span style="color: #FF8000;">-70.62623339616</span>''
|-
| '''<span style="color: #008000;">7<sup>-1</sup>⋅13<sup>1</sup></span>'''
| '''<span style="color: #008000;">13/7</span>'''
| '''<span style="color: #008000;">1071.70175530019</span>'''
| '''<span style="color: #008000;">m7<sup>13</sup><sub>7</sub></span>'''
| '''<span style="color: #008000;">56</span>'''
| '''<span style="color: #008000;">1075.85333382285</span>'''
| '''<span style="color: #008000;">4.15157852266</span>'''
| '''<span style="color: #008000;">21.60967391743</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">56</span>'''
| '''<span style="color: #008000;">1075.85333382285</span>'''
| '''<span style="color: #008000;">4.15157852266</span>'''
| '''<span style="color: #008000;">21.60967391743</span>'''
|-
| '''<span style="color: #008000;">3<sup>-2</sup>⋅17<sup>1</sup></span>'''
| '''<span style="color: #008000;">17/9</span>'''
| '''<span style="color: #008000;">1101.04540776963</span>'''
| '''<span style="color: #008000;">d8<sup>17</sup></span>'''
| '''<span style="color: #008000;">57</span>'''
| '''<span style="color: #008000;">1095.06500049825</span>'''
| '''<span style="color: #008000;">-5.98040727138</span>'''
| '''<span style="color: #008000;">-31.12903930940</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">57</span>'''
| '''<span style="color: #008000;">1095.06500049825</span>'''
| '''<span style="color: #008000;">-5.98040727138</span>'''
| '''<span style="color: #008000;">-31.12903930940</span>'''
|-
| '''<span style="color: #008000;">3<sup>1</sup>⋅7<sup>1</sup>⋅11<sup>-1</sup></span>'''
| '''<span style="color: #008000;">21/11</span>'''
| '''<span style="color: #008000;">1119.46296496976</span>'''
| '''<span style="color: #008000;">P8<sup>7</sup><sub>11</sub></span>'''
| '''<span style="color: #008000;">58</span>'''
| '''<span style="color: #008000;">1114.27666717366</span>'''
| '''<span style="color: #008000;">-5.18629779609</span>'''
| '''<span style="color: #008000;">-26.99556412111</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">58</span>'''
| '''<span style="color: #008000;">1114.27666717366</span>'''
| '''<span style="color: #008000;">-5.18629779609</span>'''
| '''<span style="color: #008000;">-26.99556412111</span>'''
|-
| '''<span style="color: #008000;">3<sup>5</sup>⋅5<sup>-3</sup></span>'''
| '''<span style="color: #008000;">243/125</span>'''
| '''<span style="color: #008000;">1150.83386273243</span>'''
| '''<span style="color: #008000;">d8<sub>5,5,5</sub></span>'''
| '''<span style="color: #008000;">60</span>'''
| '''<span style="color: #008000;">1152.70000052448</span>'''
| '''<span style="color: #008000;">1.86613779204</span>'''
| '''<span style="color: #008000;">9.71356532244</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">60</span>'''
| '''<span style="color: #008000;">1152.70000052448</span>'''
| '''<span style="color: #008000;">1.86613779204</span>'''
| '''<span style="color: #008000;">9.71356532244</span>'''
|-
| '''<span style="color: #008000;">3<sup>5</sup>⋅11<sup>-2</sup></span>'''
| '''<span style="color: #008000;">243/121</span>'''
| '''<span style="color: #008000;">1207.13911959742</span>'''
| '''<span style="color: #008000;">cA1<sub>11,11</sub></span>'''
| '''<span style="color: #008000;">63</span>'''
| '''<span style="color: #008000;">1210.33500055070</span>'''
| '''<span style="color: #008000;">3.19588095328</span>'''
| '''<span style="color: #008000;">16.63510515393</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">63</span>'''
| '''<span style="color: #008000;">1210.33500055070</span>'''
| '''<span style="color: #008000;">3.19588095328</span>'''
| '''<span style="color: #008000;">16.63510515393</span>'''
|-
| '''<span style="color: #008000;">3<sup>-3</sup>⋅5<sup>1</sup>⋅11<sup>1</sup></span>'''
| '''<span style="color: #008000;">55/27</span>'''
| '''<span style="color: #008000;">1231.76665363343</span>'''
| '''<span style="color: #008000;">P8<sup>5,11</sup></span>'''
| '''<span style="color: #008000;">64</span>'''
| '''<span style="color: #008000;">1229.54666722611</span>'''
| '''<span style="color: #008000;">-2.21998640732</span>'''
| '''<span style="color: #008000;">-11.55540768445</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">64</span>'''
| '''<span style="color: #008000;">1229.54666722611</span>'''
| '''<span style="color: #008000;">-2.21998640732</span>'''
| '''<span style="color: #008000;">-11.55540768445</span>'''
|-
| '''<span style="color: #008000;">3<sup>3</sup>⋅13<sup>-1</sup></span>'''
| '''<span style="color: #008000;">27/13</span>'''
| '''<span style="color: #008000;">1265.33734082685</span>'''
| '''<span style="color: #008000;">cA1<sub>13</sub></span>'''
| '''<span style="color: #008000;">66</span>'''
| '''<span style="color: #008000;">1267.97000057693</span>'''
| '''<span style="color: #008000;">2.63265975007</span>'''
| '''<span style="color: #008000;">13.70344278065</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">66</span>'''
| '''<span style="color: #008000;">1267.97000057693</span>'''
| '''<span style="color: #008000;">2.63265975007</span>'''
| '''<span style="color: #008000;">13.70344278065</span>'''
|-
| '''<span style="color: #008000;">3<sup>-4</sup>⋅13<sup>2</sup></span>'''
| '''<span style="color: #008000;">169/81</span>'''
| '''<span style="color: #008000;">1273.23532007707</span>'''
| '''<span style="color: #008000;">cd2<sup>13,13</sup></span>'''
| '''<span style="color: #008000;">66</span>'''
| '''<span style="color: #008000;">1267.97000057693</span>'''
| '''<span style="color: #008000;">-5.26531950015</span>'''
| '''<span style="color: #008000;">-27.40688556129</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">66</span>'''
| '''<span style="color: #008000;">1267.97000057693</span>'''
| '''<span style="color: #008000;">-5.26531950015</span>'''
| '''<span style="color: #008000;">-27.40688556129</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>-2</sup>⋅19<sup>1</sup></span>'''
| '''<span style="color: #FF8000;">19/9</span>'''
| '''<span style="color: #FF8000;">1293.60301440153</span>'''
| '''<span style="color: #FF8000;">cm2<sup>19</sup></span>'''
| '''<span style="color: #FF8000;">67</span>'''
| '''<span style="color: #FF8000;">1287.18166725233</span>'''
| '''<span style="color: #FF8000;">-6.42134714919</span>'''
| '''<span style="color: #FF8000;">-33.42420653912</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">67</span>'''
| '''<span style="color: #FF8000;">1287.18166725233</span>'''
| '''<span style="color: #FF8000;">-6.42134714919</span>'''
| '''<span style="color: #FF8000;">-33.42420653912</span>'''
|-
| ''<span style="color: #008000;">3<sup>6</sup>⋅7<sup>-3</sup></span>''
| ''<span style="color: #008000;">729/343</span>''
| ''<span style="color: #008000;">1305.25228578495</span>''
| ''<span style="color: #008000;">A7<sub>7,7,7</sub></span>''
| ''<span style="color: #008000;">68</span>''
| ''<span style="color: #008000;">1306.39333392774</span>''
| ''<span style="color: #008000;">1.14104814279</span>''
| ''<span style="color: #008000;">5.93935009424</span>''
| ''<span style="color: #FF0000;">NO</span>''
| ''<span style="color: #FF0000;">69</span>''
| ''<span style="color: #FF0000;">1325.60500060315</span>''
| ''<span style="color: #FF0000;">20.35271481820</span>''
| ''<span style="color: #FF0000;">105.93935009424</span>''
|-
| '''<span style="color: #FF8000;">3<sup>1</sup>⋅5<sup>1</sup>⋅7<sup>-1</sup></span>'''
| '''<span style="color: #FF8000;">15/7</span>'''
| '''<span style="color: #FF8000;">1319.44280826110</span>'''
| '''<span style="color: #FF8000;">cA1<sup>5</sup><sub>7</sub></span>'''
| '''<span style="color: #FF8000;">69</span>'''
| '''<span style="color: #FF8000;">1325.60500060315</span>'''
| '''<span style="color: #FF8000;">6.16219234205</span>'''
| '''<span style="color: #FF8000;">32.07526159060</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">69</span>'''
| '''<span style="color: #FF8000;">1325.60500060315</span>'''
| '''<span style="color: #FF8000;">6.16219234205</span>'''
| '''<span style="color: #FF8000;">32.07526159060</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>-4</sup>⋅5<sup>2</sup>⋅7<sup>1</sup></span>'''
| '''<span style="color: #FF8000;">175/81</span>'''
| '''<span style="color: #FF8000;">1333.63333073724</span>'''
| '''<span style="color: #FF8000;">cM2<sup>5,5,7</sup></span>'''
| '''<span style="color: #FF8000;">69</span>'''
| '''<span style="color: #FF8000;">1325.60500060315</span>'''
| '''<span style="color: #FF8000;">-8.02833013410</span>'''
| '''<span style="color: #FF8000;">-41.78882691304</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">69</span>'''
| '''<span style="color: #FF8000;">1325.60500060315</span>'''
| '''<span style="color: #FF8000;">-8.02833013410</span>'''
| '''<span style="color: #FF8000;">-41.78882691304</span>'''
|-
| '''<span style="color: #008000;">5<sup>-1</sup>⋅11<sup>1</sup></span>'''
| '''<span style="color: #008000;">11/5</span>'''
| '''<span style="color: #008000;">1365.00422849992</span>'''
| '''<span style="color: #008000;">cm2<sup>11</sup><sub>5</sub></span>'''
| '''<span style="color: #008000;">71</span>'''
| '''<span style="color: #008000;">1364.02833395396</span>'''
| '''<span style="color: #008000;">-0.97589454596</span>'''
| '''<span style="color: #008000;">-5.07969746949</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">71</span>'''
| '''<span style="color: #008000;">1364.02833395396</span>'''
| '''<span style="color: #008000;">-0.97589454596</span>'''
| '''<span style="color: #008000;">-5.07969746949</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>4</sup>⋅5<sup>-1</sup>⋅7<sup>-1</sup></span>'''
| '''<span style="color: #FF8000;">81/35</span>'''
| '''<span style="color: #FF8000;">1452.68038312759</span>'''
| '''<span style="color: #FF8000;">cM2<sub>5,7</sub></span>'''
| '''<span style="color: #FF8000;">76</span>'''
| '''<span style="color: #FF8000;">1460.08666733100</span>'''
| '''<span style="color: #FF8000;">7.40628420341</span>'''
| '''<span style="color: #FF8000;">38.55097180556</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">76</span>'''
| '''<span style="color: #FF8000;">1460.08666733100</span>'''
| '''<span style="color: #FF8000;">7.40628420341</span>'''
| '''<span style="color: #FF8000;">38.55097180556</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>-1</sup>⋅7<sup>1</sup></span>'''
| '''<span style="color: #FF8000;">7/3</span>'''
| '''<span style="color: #FF8000;">1466.87090560374</span>'''
| '''<span style="color: #FF8000;">cm3<sup>7</sup></span>'''
| '''<span style="color: #FF8000;">76</span>'''
| '''<span style="color: #FF8000;">1460.08666733100</span>'''
| '''<span style="color: #FF8000;">-6.78423827273</span>'''
| '''<span style="color: #FF8000;">-35.31311669808</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">76</span>'''
| '''<span style="color: #FF8000;">1460.08666733100</span>'''
| '''<span style="color: #FF8000;">-6.78423827273</span>'''
| '''<span style="color: #FF8000;">-35.31311669808</span>'''
|-
| '''<span style="color: #008000;">3<sup>-3</sup>⋅5<sup>1</sup>⋅13<sup>1</sup></span>'''
| '''<span style="color: #008000;">65/27</span>'''
| '''<span style="color: #008000;">1520.97637303798</span>'''
| '''<span style="color: #008000;">cm3<sup>5,13</sup></span>'''
| '''<span style="color: #008000;">79</span>'''
| '''<span style="color: #008000;">1517.72166735723</span>'''
| '''<span style="color: #008000;">-3.25470568075</span>'''
| '''<span style="color: #008000;">-16.94129788813</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">79</span>'''
| '''<span style="color: #008000;">1517.72166735723</span>'''
| '''<span style="color: #008000;">-3.25470568075</span>'''
| '''<span style="color: #008000;">-16.94129788813</span>'''
|-
| '''<span style="color: #008000;">3<sup>3</sup>⋅11<sup>-1</sup></span>'''
| '''<span style="color: #008000;">27/11</span>'''
| '''<span style="color: #008000;">1554.54706023141</span>'''
| '''<span style="color: #008000;">cM3<sub>11</sub></span>'''
| '''<span style="color: #008000;">81</span>'''
| '''<span style="color: #008000;">1556.14500070804</span>'''
| '''<span style="color: #008000;">1.59794047664</span>'''
| '''<span style="color: #008000;">8.31755257697</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">81</span>'''
| '''<span style="color: #008000;">1556.14500070804</span>'''
| '''<span style="color: #008000;">1.59794047664</span>'''
| '''<span style="color: #008000;">8.31755257697</span>'''
|-
| '''<span style="color: #008000;">3<sup>2</sup>⋅5<sup>-2</sup>⋅7<sup>1</sup></span>'''
| '''<span style="color: #008000;">63/25</span>'''
| '''<span style="color: #008000;">1600.10848047023</span>'''
| '''<span style="color: #008000;">cd4<sup>7</sup><sub>5,5</sub></span>'''
| '''<span style="color: #008000;">83</span>'''
| '''<span style="color: #008000;">1594.56833405886</span>'''
| '''<span style="color: #008000;">-5.54014641137</span>'''
| '''<span style="color: #008000;">-28.83740648312</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">83</span>'''
| '''<span style="color: #008000;">1594.56833405886</span>'''
| '''<span style="color: #008000;">-5.54014641137</span>'''
| '''<span style="color: #008000;">-28.83740648312</span>'''
|-
| '''<span style="color: #008000;">3<sup>1</sup>⋅11<sup>1</sup>⋅13<sup>-1</sup></span>'''
| '''<span style="color: #008000;">33/13</span>'''
| '''<span style="color: #008000;">1612.74528146083</span>'''
| '''<span style="color: #008000;">cM3<sup>11</sup><sub>13</sub></span>'''
| '''<span style="color: #008000;">84</span>'''
| '''<span style="color: #008000;">1613.78000073427</span>'''
| '''<span style="color: #008000;">1.03471927343</span>'''
| '''<span style="color: #008000;">5.38589020368</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">84</span>'''
| '''<span style="color: #008000;">1613.78000073427</span>'''
| '''<span style="color: #008000;">1.03471927343</span>'''
| '''<span style="color: #008000;">5.38589020368</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>-2</sup>⋅23<sup>1</sup></span>'''
| '''<span style="color: #FF8000;">23/9</span>'''
| '''<span style="color: #FF8000;">1624.36434553764</span>'''
| '''<span style="color: #FF8000;">cM3<sup>23</sup></span>'''
| '''<span style="color: #FF8000;">85</span>'''
| '''<span style="color: #FF8000;">1632.99166740968</span>'''
| '''<span style="color: #FF8000;">8.62732187204</span>'''
| '''<span style="color: #FF8000;">44.90668101732</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">85</span>'''
| '''<span style="color: #FF8000;">1632.99166740968</span>'''
| '''<span style="color: #FF8000;">8.62732187204</span>'''
| '''<span style="color: #FF8000;">44.90668101732</span>'''
|-
| '''<span style="color: #008000;">5<sup>-1</sup>⋅13<sup>1</sup></span>'''
| '''<span style="color: #008000;">13/5</span>'''
| '''<span style="color: #008000;">1654.21394790448</span>'''
| '''<span style="color: #008000;">cd4<sup>13</sup><sub>5</sub></span>'''
| '''<span style="color: #008000;">86</span>'''
| '''<span style="color: #008000;">1652.20333408508</span>'''
| '''<span style="color: #008000;">-2.01061381939</span>'''
| '''<span style="color: #008000;">-10.46558767317</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">86</span>'''
| '''<span style="color: #008000;">1652.20333408508</span>'''
| '''<span style="color: #008000;">-2.01061381939</span>'''
| '''<span style="color: #008000;">-10.46558767317</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>4</sup>⋅31<sup>-1</sup></span>'''
| '''<span style="color: #FF8000;">81/31</span>'''
| '''<span style="color: #FF8000;">1662.78443099730</span>'''
| '''<span style="color: #FF8000;">cP4<sub>31</sub></span>'''
| '''<span style="color: #FF8000;">87</span>'''
| '''<span style="color: #FF8000;">1671.41500076049</span>'''
| '''<span style="color: #FF8000;">8.63056976319</span>'''
| '''<span style="color: #FF8000;">44.92358684445</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">87</span>'''
| '''<span style="color: #FF8000;">1671.41500076049</span>'''
| '''<span style="color: #FF8000;">8.63056976319</span>'''
| '''<span style="color: #FF8000;">44.92358684445</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>5</sup>⋅7<sup>-1</sup>⋅13<sup>-1</sup></span>'''
| '''<span style="color: #FF8000;">243/91</span>'''
| '''<span style="color: #FF8000;">1700.42143608850</span>'''
| '''<span style="color: #FF8000;">cA3<sub>7,13</sub></span>'''
| '''<span style="color: #FF8000;">89</span>'''
| '''<span style="color: #FF8000;">1709.83833411131</span>'''
| '''<span style="color: #FF8000;">9.41689802281</span>'''
| '''<span style="color: #FF8000;">49.01655947873</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">89</span>'''
| '''<span style="color: #FF8000;">1709.83833411131</span>'''
| '''<span style="color: #FF8000;">9.41689802281</span>'''
| '''<span style="color: #FF8000;">49.01655947873</span>'''
|-
| ''<span style="color: #FF8000;">3<sup>3</sup>⋅5<sup>1</sup>⋅7<sup>-2</sup></span>''
| ''<span style="color: #FF8000;">135/49</span>''
| ''<span style="color: #FF8000;">1754.52690352275</span>''
| ''<span style="color: #FF8000;">cA3<sup>5</sup><sub>7,7</sub></span>''
| ''<span style="color: #FF8000;">91</span>''
| ''<span style="color: #FF8000;">1748.26166746212</span>''
| ''<span style="color: #FF8000;">-6.26523606062</span>''
| ''<span style="color: #FF8000;">-32.61162171132</span>''
| ''<span style="color: #FF8000;">NO</span>''
| ''<span style="color: #FF8000;">92</span>''
| ''<span style="color: #FF8000;">1767.47333413753</span>''
| ''<span style="color: #FF8000;">12.94643061478</span>''
| ''<span style="color: #FF8000;">67.38837828868</span>''
|-
| '''<span style="color: #008000;">3<sup>-2</sup>⋅5<sup>2</sup></span>'''
| '''<span style="color: #008000;">25/9</span>'''
| '''<span style="color: #008000;">1768.71742599889</span>'''
| '''<span style="color: #008000;">cA4<sup>5,5</sup></span>'''
| '''<span style="color: #008000;">92</span>'''
| '''<span style="color: #008000;">1767.47333413753</span>'''
| '''<span style="color: #008000;">-1.24409186136</span>'''
| '''<span style="color: #008000;">-6.47571021496</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">92</span>'''
| '''<span style="color: #008000;">1767.47333413753</span>'''
| '''<span style="color: #008000;">-1.24409186136</span>'''
| '''<span style="color: #008000;">-6.47571021496</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>4</sup>⋅29<sup>-1</sup></span>'''
| '''<span style="color: #FF8000;">81/29</span>'''
| '''<span style="color: #FF8000;">1778.24280930846</span>'''
| '''<span style="color: #FF8000;">cA4<sub>29</sub></span>'''
| '''<span style="color: #FF8000;">93</span>'''
| '''<span style="color: #FF8000;">1786.68500081294</span>'''
| '''<span style="color: #FF8000;">8.44219150448</span>'''
| '''<span style="color: #FF8000;">43.94304589556</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">93</span>'''
| '''<span style="color: #FF8000;">1786.68500081294</span>'''
| '''<span style="color: #FF8000;">8.44219150448</span>'''
| '''<span style="color: #FF8000;">43.94304589556</span>'''
|-
| '''<span style="color: #FF8000;">3<sup>-3</sup>⋅7<sup>1</sup>⋅11<sup>1</sup></span>'''
| '''<span style="color: #FF8000;">77/27</span>'''
| '''<span style="color: #FF8000;">1814.27884623772</span>'''
| '''<span style="color: #FF8000;">cd5<sup>7,11</sup></span>'''
| '''<span style="color: #FF8000;">94</span>'''
| '''<span style="color: #FF8000;">1805.89666748835</span>'''
| '''<span style="color: #FF8000;">-8.38217874937</span>'''
| '''<span style="color: #FF8000;">-43.63066927505</span>'''
| '''<span style="color: #FF8000;">YES</span>'''
| '''<span style="color: #FF8000;">94</span>'''
| '''<span style="color: #FF8000;">1805.89666748835</span>'''
| '''<span style="color: #FF8000;">-8.38217874937</span>'''
| '''<span style="color: #FF8000;">-43.63066927505</span>'''
|-
| ''<span style="color: #008000;">3<sup>6</sup>⋅5<sup>-1</sup>⋅7<sup>-2</sup></span>''
| ''<span style="color: #008000;">729/245</span>''
| ''<span style="color: #008000;">1887.76447838924</span>''
| ''<span style="color: #008000;">cA4<sub>5,7,7</sub></span>''
| ''<span style="color: #008000;">98</span>''
| ''<span style="color: #008000;">1882.74333418998</span>''
| ''<span style="color: #008000;">-5.02114419926</span>''
| ''<span style="color: #008000;">-26.13591149636</span>''
| ''<span style="color: #FF8000;">NO</span>''
| ''<span style="color: #FF8000;">99</span>''
| ''<span style="color: #FF8000;">1901.95500086539</span>''
| ''<span style="color: #FF8000;">14.19052247615</span>''
| ''<span style="color: #FF8000;">73.86408850364</span>''
|-
| '''<span style="color: #008000;">3<sup>1</sup></span>'''
| '''<span style="color: #008000;">3/1</span>'''
| '''<span style="color: #008000;">1901.95500086539</span>'''
| '''<span style="color: #008000;">cP5</span>'''
| '''<span style="color: #008000;">99</span>'''
| '''<span style="color: #008000;">1901.95500086539</span>'''
| '''<span style="color: #008000;">0</span>'''
| '''<span style="color: #008000;">0</span>'''
| '''<span style="color: #008000;">YES</span>'''
| '''<span style="color: #008000;">99</span>'''
| '''<span style="color: #008000;">1901.95500086539</span>'''
| '''<span style="color: #008000;">0</span>'''
| '''<span style="color: #008000;">0</span>'''
|}

Revision as of 17:03, 13 April 2021

99edt divides the tritave in 99 equal steps and the octave in 62.46204560357428 equal steps of 19.211666675407955 cents each. Its 31-limit patent val is <62 99 145 175 216 231 255 265 283 303 309|.

Factorization Ratio Cents value FJS Approximate degree Cents value Absolute error (cents) Relative error (%) Consistent Consistent degree Cents value Absolute error (cents) Relative error (%)
1/1 0 P1 0 0 0 0 YES 0 0 0 0
3-5⋅51⋅72 245/243 14.19052247615 m25,7,7 1 19.21166667541 5.02114419926 26.13591149636 NO 0 0 -14.19052247615 -73.86408850364
34⋅7-1⋅11-1 81/77 87.67615462767 A17,11 5 96.05833337704 8.38217874937 43.63066927505 YES 5 96.05833337704 8.38217874937 43.63066927505
3-3⋅291 29/27 123.71219155692 m229 6 115.27000005245 -8.44219150448 -43.94304589556 YES 6 115.27000005245 -8.44219150448 -43.94304589556
33⋅5-2 27/25 133.23757486649 m25,5 7 134.48166672786 1.24409186136 6.47571021496 YES 7 134.48166672786 1.24409186136 6.47571021496
3-2⋅5-1⋅72 49/45 147.42809734264 d37,75 8 153.69333340326 6.26523606062 32.61162171132 NO 7 134.48166672786 -12.94643061478 -67.38837828868
3-4⋅71⋅131 91/81 201.53356477689 d37,13 10 192.11666675408 -9.41689802281 -49.01655947873 YES 10 192.11666675408 -9.41689802281 -49.01655947873
3-3⋅311 31/27 239.17056986809 M231 12 230.54000010490 -8.63056976319 -44.92358684445 YES 12 230.54000010490 -8.63056976319 -44.92358684445
31⋅51⋅13-1 15/13 247.74105296091 A2513 13 249.75166678030 2.01061381939 10.46558767317 YES 13 249.75166678030 2.01061381939 10.46558767317
33⋅23-1 27/23 277.59065532775 m323 14 268.96333345571 -8.62732187204 -44.90668101732 YES 14 268.96333345571 -8.62732187204 -44.90668101732
11-1⋅131 13/11 289.20971940455 m31311 15 288.17500013112 -1.03471927343 -5.38589020368 YES 15 288.17500013112 -1.03471927343 -5.38589020368
3-1⋅52⋅7-1 25/21 301.84652039516 A25,57 16 307.38666680653 5.54014641137 28.83740648312 YES 16 307.38666680653 5.54014641137 28.83740648312
3-2⋅111 11/9 347.40794063398 m311 18 345.81000015734 -1.59794047664 -8.31755257697 YES 18 345.81000015734 -1.59794047664 -8.31755257697
34⋅5-1⋅13-1 81/65 380.97862782740 M35,13 20 384.23333350816 3.25470568075 16.94129788813 YES 20 384.23333350816 3.25470568075 16.94129788813
32⋅7-1 9/7 435.08409526165 M37 23 441.86833353438 6.78423827273 35.31311669808 YES 23 441.86833353438 6.78423827273 35.31311669808
3-3⋅51⋅71 35/27 449.27461773780 P45,7 23 441.86833353438 -7.40628420341 -38.55097180556 YES 23 441.86833353438 -7.40628420341 -38.55097180556
31⋅51⋅11-1 15/11 536.95077236547 A4511 28 537.92666691142 0.97589454596 5.07969746949 YES 28 537.92666691142 0.97589454596 5.07969746949
35⋅5-2⋅7-1 243/175 568.32167012814 P45,5,7 30 576.35000026224 8.02833013410 41.78882691304 YES 30 576.35000026224 8.02833013410 41.78882691304
5-1⋅71 7/5 582.51219260429 d575 30 576.35000026224 -6.16219234205 -32.07526159060 YES 30 576.35000026224 -6.16219234205 -32.07526159060
3-5⋅73 343/243 596.70271508044 d67,7,7 31 595.56166693765 -1.14104814279 -5.93935009424 NO 30 576.35000026224 -20.35271481820 -105.93935009424
33⋅19-1 27/19 608.35198646386 A419 32 614.77333361305 6.42134714919 33.42420653912 YES 32 614.77333361305 6.42134714919 33.42420653912
35⋅13-2 243/169 628.71968078832 AA413,13 33 633.98500028846 5.26531950015 27.40688556130 YES 33 633.98500028846 5.26531950015 27.40688556130
3-2⋅131 13/9 636.61766003854 d513 33 633.98500028846 -2.63265975007 -13.70344278065 YES 33 633.98500028846 -2.63265975007 -13.70344278065
34⋅5-1⋅11-1 81/55 670.18834723196 P55,11 35 672.40833363928 2.21998640732 11.55540768445 YES 35 672.40833363928 2.21998640732 11.55540768445
3-4⋅112 121/81 694.81588126796 d511,11 36 691.62000031469 -3.19588095328 -16.63510515393 YES 36 691.62000031469 -3.19588095328 -16.63510515393
3-4⋅53 125/81 751.12113813295 A55,5,5 39 749.25500034091 -1.86613779204 -9.71356532244 YES 39 749.25500034091 -1.86613779204 -9.71356532244
7-1⋅111 11/7 782.49203589563 P5117 41 787.67833369173 5.18629779609 26.99556412111 YES 41 787.67833369173 5.18629779609 26.99556412111
33⋅17-1 27/17 800.90959309575 A517 42 806.89000036713 5.98040727138 31.12903930940 YES 42 806.89000036713 5.98040727138 31.12903930940
31⋅71⋅13-1 21/13 830.25324556520 M6713 43 826.10166704254 -4.15157852266 -21.60967391743 YES 43 826.10166704254 -4.15157852266 -21.60967391743
34⋅7-2 81/49 870.16819052330 A57,7 45 864.52500039336 -5.64319012994 -29.37376660384 NO 46 883.73666706877 13.56847654547 70.62623339616
3-1⋅51 5/3 884.35871299945 M65 46 883.73666706877 -0.62204593068 -3.23785510748 YES 46 883.73666706877 -0.62204593068 -3.23785510748
35⋅11-1⋅13-1 243/143 917.92940019287 A611,13 48 922.16000041958 4.23060022671 22.02099535762 YES 48 922.16000041958 4.23060022671 22.02099535762
3-4⋅111⋅131 143/81 984.02560067252 d711,13 51 979.79500044581 -4.23060022671 -22.02099535761 YES 51 979.79500044581 -4.23060022671 -22.02099535761
32⋅5-1 9/5 1017.59628786594 m75 53 1018.21833379662 0.62204593068 3.23785510748 YES 53 1018.21833379662 0.62204593068 3.23785510748
3-3⋅72 49/27 1031.78681034209 d87,7 54 1037.43000047203 5.64319012994 29.37376660384 NO 53 1018.21833379662 -13.56847654547 -70.62623339616
7-1⋅131 13/7 1071.70175530019 m7137 56 1075.85333382285 4.15157852266 21.60967391743 YES 56 1075.85333382285 4.15157852266 21.60967391743
3-2⋅171 17/9 1101.04540776963 d817 57 1095.06500049825 -5.98040727138 -31.12903930940 YES 57 1095.06500049825 -5.98040727138 -31.12903930940
31⋅71⋅11-1 21/11 1119.46296496976 P8711 58 1114.27666717366 -5.18629779609 -26.99556412111 YES 58 1114.27666717366 -5.18629779609 -26.99556412111
35⋅5-3 243/125 1150.83386273243 d85,5,5 60 1152.70000052448 1.86613779204 9.71356532244 YES 60 1152.70000052448 1.86613779204 9.71356532244
35⋅11-2 243/121 1207.13911959742 cA111,11 63 1210.33500055070 3.19588095328 16.63510515393 YES 63 1210.33500055070 3.19588095328 16.63510515393
3-3⋅51⋅111 55/27 1231.76665363343 P85,11 64 1229.54666722611 -2.21998640732 -11.55540768445 YES 64 1229.54666722611 -2.21998640732 -11.55540768445
33⋅13-1 27/13 1265.33734082685 cA113 66 1267.97000057693 2.63265975007 13.70344278065 YES 66 1267.97000057693 2.63265975007 13.70344278065
3-4⋅132 169/81 1273.23532007707 cd213,13 66 1267.97000057693 -5.26531950015 -27.40688556129 YES 66 1267.97000057693 -5.26531950015 -27.40688556129
3-2⋅191 19/9 1293.60301440153 cm219 67 1287.18166725233 -6.42134714919 -33.42420653912 YES 67 1287.18166725233 -6.42134714919 -33.42420653912
36⋅7-3 729/343 1305.25228578495 A77,7,7 68 1306.39333392774 1.14104814279 5.93935009424 NO 69 1325.60500060315 20.35271481820 105.93935009424
31⋅51⋅7-1 15/7 1319.44280826110 cA157 69 1325.60500060315 6.16219234205 32.07526159060 YES 69 1325.60500060315 6.16219234205 32.07526159060
3-4⋅52⋅71 175/81 1333.63333073724 cM25,5,7 69 1325.60500060315 -8.02833013410 -41.78882691304 YES 69 1325.60500060315 -8.02833013410 -41.78882691304
5-1⋅111 11/5 1365.00422849992 cm2115 71 1364.02833395396 -0.97589454596 -5.07969746949 YES 71 1364.02833395396 -0.97589454596 -5.07969746949
34⋅5-1⋅7-1 81/35 1452.68038312759 cM25,7 76 1460.08666733100 7.40628420341 38.55097180556 YES 76 1460.08666733100 7.40628420341 38.55097180556
3-1⋅71 7/3 1466.87090560374 cm37 76 1460.08666733100 -6.78423827273 -35.31311669808 YES 76 1460.08666733100 -6.78423827273 -35.31311669808
3-3⋅51⋅131 65/27 1520.97637303798 cm35,13 79 1517.72166735723 -3.25470568075 -16.94129788813 YES 79 1517.72166735723 -3.25470568075 -16.94129788813
33⋅11-1 27/11 1554.54706023141 cM311 81 1556.14500070804 1.59794047664 8.31755257697 YES 81 1556.14500070804 1.59794047664 8.31755257697
32⋅5-2⋅71 63/25 1600.10848047023 cd475,5 83 1594.56833405886 -5.54014641137 -28.83740648312 YES 83 1594.56833405886 -5.54014641137 -28.83740648312
31⋅111⋅13-1 33/13 1612.74528146083 cM31113 84 1613.78000073427 1.03471927343 5.38589020368 YES 84 1613.78000073427 1.03471927343 5.38589020368
3-2⋅231 23/9 1624.36434553764 cM323 85 1632.99166740968 8.62732187204 44.90668101732 YES 85 1632.99166740968 8.62732187204 44.90668101732
5-1⋅131 13/5 1654.21394790448 cd4135 86 1652.20333408508 -2.01061381939 -10.46558767317 YES 86 1652.20333408508 -2.01061381939 -10.46558767317
34⋅31-1 81/31 1662.78443099730 cP431 87 1671.41500076049 8.63056976319 44.92358684445 YES 87 1671.41500076049 8.63056976319 44.92358684445
35⋅7-1⋅13-1 243/91 1700.42143608850 cA37,13 89 1709.83833411131 9.41689802281 49.01655947873 YES 89 1709.83833411131 9.41689802281 49.01655947873
33⋅51⋅7-2 135/49 1754.52690352275 cA357,7 91 1748.26166746212 -6.26523606062 -32.61162171132 NO 92 1767.47333413753 12.94643061478 67.38837828868
3-2⋅52 25/9 1768.71742599889 cA45,5 92 1767.47333413753 -1.24409186136 -6.47571021496 YES 92 1767.47333413753 -1.24409186136 -6.47571021496
34⋅29-1 81/29 1778.24280930846 cA429 93 1786.68500081294 8.44219150448 43.94304589556 YES 93 1786.68500081294 8.44219150448 43.94304589556
3-3⋅71⋅111 77/27 1814.27884623772 cd57,11 94 1805.89666748835 -8.38217874937 -43.63066927505 YES 94 1805.89666748835 -8.38217874937 -43.63066927505
36⋅5-1⋅7-2 729/245 1887.76447838924 cA45,7,7 98 1882.74333418998 -5.02114419926 -26.13591149636 NO 99 1901.95500086539 14.19052247615 73.86408850364
31 3/1 1901.95500086539 cP5 99 1901.95500086539 0 0 YES 99 1901.95500086539 0 0
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