User:Contribution/Exploring Selected Modes in 12-EDO: Difference between revisions
Contribution (talk | contribs) |
Contribution (talk | contribs) No edit summary |
||
| Line 200: | Line 200: | ||
| 2<sup>-8</sup> • 5<sup>1</sup> • 7<sup>2</sup> | | 2<sup>-8</sup> • 5<sup>1</sup> • 7<sup>2</sup> | ||
| [[245/256]] | | [[245/256]] | ||
|} | |||
{| class="wikitable center-all left-2 right-3 right-5 left-6" | |||
|+style=white-space:nowrap| Selected 7-limit commas tempered out in 12-tet | |||
! Ratio | |||
! Factorization | |||
! Cents | |||
! Limit | |||
! - Cents | |||
! 1 / Factorization | |||
! 1 / Ratio | |||
|- | |||
| [[531441/524288]] | |||
| 2<sup>-19</sup> • 3<sup>12</sup> | |||
| 23.460 | |||
| 3 | |||
| -23.460 | |||
| 2<sup>19</sup> • 3<sup>-12</sup> | |||
| [[524288/531441]] | |||
|- | |||
| [[81/80]] | |||
| 2<sup>-4</sup> • 3<sup>4</sup> • 5<sup>-1</sup> | |||
| 21.506 | |||
| 5 | |||
| -21.506 | |||
| 2<sup>4</sup> • 3<sup>-4</sup> • 5<sup>1</sup> | |||
| [[80/81]] | |||
|- | |||
| [[128/125]] | |||
| 2<sup>7</sup> • 5<sup>-3</sup> | |||
| 41.059 | |||
| 5 | |||
| -41.059 | |||
| 2<sup>-7</sup> • 5<sup>3</sup> | |||
| [[125/128]] | |||
|- | |||
| [[648/625]] | |||
| 2<sup>3</sup> • 3<sup>4</sup> • 5<sup>-4</sup> | |||
| 62.565 | |||
| 5 | |||
| -62.565 | |||
| 2<sup>-3</sup> • 3<sup>-4</sup> • 5<sup>4</sup> | |||
| [[625/648]] | |||
|- | |||
| [[2048/2025]] | |||
| 2<sup>11</sup> • 3<sup>-4</sup> • 5<sup>-2</sup> | |||
| 19.553 | |||
| 5 | |||
| -19.553 | |||
| 2<sup>-11</sup> • 3<sup>4</sup> • 5<sup>2</sup> | |||
| [[2025/2048]] | |||
|- | |||
| [[6561/6250]] | |||
| 2<sup>-1</sup> • 3<sup>8</sup> • 5<sup>-5</sup> | |||
| 84.071 | |||
| 5 | |||
| -84.071 | |||
| 2<sup>1</sup> • 3<sup>-8</sup> • 5<sup>5</sup> | |||
| [[6250/6561]] | |||
|- | |||
| [[6561/6400]] | |||
| 2<sup>-8</sup> • 3<sup>8</sup> • 5<sup>-2</sup> | |||
| 43.013 | |||
| 5 | |||
| -43.013 | |||
| 2<sup>8</sup> • 3<sup>-8</sup> • 5<sup>2</sup> | |||
| [[6400/6561]] | |||
|- | |||
| [[16384/15625]] | |||
| 2<sup>14</sup> • 5<sup>-6</sup> | |||
| 82.118 | |||
| 5 | |||
| -82.118 | |||
| 2<sup>-14</sup> • 5<sup>6</sup> | |||
| [[15625/16384]] | |||
|- | |||
| [[32805/32768]] | |||
| 2<sup>-15</sup> • 3<sup>8</sup> • 5<sup>1</sup> | |||
| 1.954 | |||
| 5 | |||
| -1.954 | |||
| 2<sup>15</sup> • 3<sup>-8</sup> • 5<sup>-1</sup> | |||
| [[32768/32805]] | |||
|- | |||
| [[82944/78125]] | |||
| 2<sup>10</sup> • 3<sup>4</sup> • 5<sup>-7</sup> | |||
| 103.624 | |||
| 5 | |||
| -103.624 | |||
| 2<sup>-10</sup> • 3<sup>-4</sup> • 5<sup>7</sup> | |||
| [[78125/82944]] | |||
|- | |||
| [[262144/253125]] | |||
| 2<sup>18</sup> • 3<sup>-4</sup> • 5<sup>-5</sup> | |||
| 60.611 | |||
| 5 | |||
| -60.611 | |||
| 2<sup>-18</sup> • 3<sup>4</sup> • 5<sup>5</sup> | |||
| [[253125/262144]] | |||
|- | |||
| [[419904/390625]] | |||
| 2<sup>6</sup> • 3<sup>8</sup> • 5<sup>-8</sup> | |||
| 125.130 | |||
| 5 | |||
| -125.130 | |||
| 2<sup>-6</sup> • 3<sup>-8</sup> • 5<sup>8</sup> | |||
| [[390625/419904]] | |||
|- | |||
| [[531441/500000]] | |||
| 2<sup>-5</sup> • 3<sup>12</sup> • 5<sup>-6</sup> | |||
| 105.578 | |||
| 5 | |||
| -105.578 | |||
| 2<sup>5</sup> • 3<sup>-12</sup> • 5<sup>6</sup> | |||
| [[500000/531441]] | |||
|- | |||
| [[531441/512000]] | |||
| 2<sup>-12</sup> • 3<sup>12</sup> • 5<sup>-3</sup> | |||
| 64.519 | |||
| 5 | |||
| -64.519 | |||
| 2<sup>12</sup> • 3<sup>-12</sup> • 5<sup>3</sup> | |||
| [[512000/531441]] | |||
|- | |||
| [[2097152/1953125]] | |||
| 2<sup>21</sup> • 5<sup>-9</sup> | |||
| 123.177 | |||
| 5 | |||
| -123.177 | |||
| 2<sup>-21</sup> • 5<sup>9</sup> | |||
| [[1953125/2097152]] | |||
|- | |||
| [[2125764/1953125]] | |||
| 2<sup>2</sup> • 3<sup>12</sup> • 5<sup>-9</sup> | |||
| 146.637 | |||
| 5 | |||
| -146.637 | |||
| 2<sup>-2</sup> • 3<sup>-12</sup> • 5<sup>9</sup> | |||
| [[1953125/2125764]] | |||
|- | |||
| [[4194304/4100625]] | |||
| 2<sup>22</sup> • 3<sup>-8</sup> • 5<sup>-4</sup> | |||
| 39.105 | |||
| 5 | |||
| -39.105 | |||
| 2<sup>-22</sup> • 3<sup>8</sup> • 5<sup>4</sup> | |||
| [[4100625/4194304]] | |||
|- | |||
| [[10616832/9765625]] | |||
| 2<sup>17</sup> • 3<sup>4</sup> • 5<sup>-10</sup> | |||
| 144.683 | |||
| 5 | |||
| -144.683 | |||
| 2<sup>-17</sup> • 3<sup>-4</sup> • 5<sup>10</sup> | |||
| [[9765625/10616832]] | |||
|- | |||
| [[33554432/31640625]] | |||
| 2<sup>25</sup> • 3<sup>-4</sup> • 5<sup>-8</sup> | |||
| 101.670 | |||
| 5 | |||
| -101.670 | |||
| 2<sup>-25</sup> • 3<sup>4</sup> • 5<sup>8</sup> | |||
| [[31640625/33554432]] | |||
|- | |||
| [[43046721/39062500]] | |||
| 2<sup>-2</sup> • 3<sup>16</sup> • 5<sup>-10</sup> | |||
| 168.143 | |||
| 5 | |||
| -168.143 | |||
| 2<sup>2</sup> • 3<sup>-16</sup> • 5<sup>10</sup> | |||
| [[39062500/43046721]] | |||
|- | |||
| [[43046721/40000000]] | |||
| 2<sup>-9</sup> • 3<sup>16</sup> • 5<sup>-7</sup> | |||
| 127.084 | |||
| 5 | |||
| -127.084 | |||
| 2<sup>9</sup> • 3<sup>-16</sup> • 5<sup>7</sup> | |||
| [[40000000/43046721]] | |||
|- | |||
| [[43046721/40960000]] | |||
| 2<sup>-16</sup> • 3<sup>16</sup> • 5<sup>-4</sup> | |||
| 86.025 | |||
| 5 | |||
| -86.025 | |||
| 2<sup>16</sup> • 3<sup>-16</sup> • 5<sup>4</sup> | |||
| [[40960000/43046721]] | |||
|- | |||
| [[43046721/41943040]] | |||
| 2<sup>-23</sup> • 3<sup>16</sup> • 5<sup>-1</sup> | |||
| 44.966 | |||
| 5 | |||
| -44.966 | |||
| 2<sup>23</sup> • 3<sup>-16</sup> • 5<sup>1</sup> | |||
| [[41943040/43046721]] | |||
|- | |||
| [[53747712/48828125]] | |||
| 2<sup>13</sup> • 3<sup>8</sup> • 5<sup>-11</sup> | |||
| 166.189 | |||
| 5 | |||
| -166.189 | |||
| 2<sup>-13</sup> • 3<sup>-8</sup> • 5<sup>11</sup> | |||
| [[48828125/53747712]] | |||
|- | |||
| [[67108864/66430125]] | |||
| 2<sup>26</sup> • 3<sup>-12</sup> • 5<sup>-3</sup> | |||
| 17.599 | |||
| 5 | |||
| -17.599 | |||
| 2<sup>-26</sup> • 3<sup>12</sup> • 5<sup>3</sup> | |||
| [[66430125/67108864]] | |||
|} | |} | ||