User:Contribution/Exploring Selected Modes in 12-EDO: Difference between revisions
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== Tempered commas == | == Tempered commas == | ||
{| class="wikitable center-all left-2 right-3 right-5 left-6 mw-collapsible mw-collapsed" | {| class="wikitable center-all left-2 right-3 right-5 left-6 mw-collapsible mw-collapsed" | ||
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| 2<sup>-13</sup> • 3<sup>-8</sup> • 5<sup>11</sup> | | 2<sup>-13</sup> • 3<sup>-8</sup> • 5<sup>11</sup> | ||
| [[48828125/53747712]] | | [[48828125/53747712]] | ||
|} | |||
{| class="wikitable center-all left-2 right-3 right-5 left-6" | |||
|+style=white-space:nowrap| 7-limit commas tempered out in 12-tet with Benedetti height < 2**16 | |||
! Ratio | |||
! Factorization | |||
! Cents | |||
! Limit | |||
! - Cents | |||
! 1 / Factorization | |||
! 1 / Ratio | |||
|- | |||
| [[36/35]] | |||
| 2<sup>2</sup> • 3<sup>2</sup> • 5<sup>-1</sup> • 7<sup>-1</sup> | |||
| 48.770 | |||
| 7 | |||
| -48.770 | |||
| 2<sup>-2</sup> • 3<sup>-2</sup> • 5<sup>1</sup> • 7<sup>1</sup> | |||
| [[35/36]] | |||
|- | |||
| [[50/49]] | |||
| 2<sup>1</sup> • 5<sup>2</sup> • 7<sup>-2</sup> | |||
| 34.976 | |||
| 7 | |||
| -34.976 | |||
| 2<sup>-1</sup> • 5<sup>-2</sup> • 7<sup>2</sup> | |||
| [[49/50]] | |||
|- | |||
| [[64/63]] | |||
| 2<sup>6</sup> • 3<sup>-2</sup> • 7<sup>-1</sup> | |||
| 27.264 | |||
| 7 | |||
| -27.264 | |||
| 2<sup>-6</sup> • 3<sup>2</sup> • 7<sup>1</sup> | |||
| [[63/64]] | |||
|- | |||
| [[126/125]] | |||
| 2<sup>1</sup> • 3<sup>2</sup> • 5<sup>-3</sup> • 7<sup>1</sup> | |||
| 13.795 | |||
| 7 | |||
| -13.795 | |||
| 2<sup>-1</sup> • 3<sup>-2</sup> • 5<sup>3</sup> • 7<sup>-1</sup> | |||
| [[125/126]] | |||
|- | |||
| [[225/224]] | |||
| 2<sup>-5</sup> • 3<sup>2</sup> • 5<sup>2</sup> • 7<sup>-1</sup> | |||
| 7.712 | |||
| 7 | |||
| -7.712 | |||
| 2<sup>5</sup> • 3<sup>-2</sup> • 5<sup>-2</sup> • 7<sup>1</sup> | |||
| [[224/225]] | |||
|- | |||
| [[256/245]] | |||
| 2<sup>8</sup> • 5<sup>-1</sup> • 7<sup>-2</sup> | |||
| 76.034 | |||
| 7 | |||
| -76.034 | |||
| 2<sup>-8</sup> • 5<sup>1</sup> • 7<sup>2</sup> | |||
| [[245/256]] | |||
|} | |} |