# 10edt

Jump to navigation
Jump to search

**10EDT** is the equal division of the third harmonic (tritave) into ten parts of 190.1955 cents each, corresponding to 6.3093 edo. It is related to the pocus temperament, which tempers out 169/168, 225/224, and 245/243 in the 2.3.5.7.13 subgroup.

Degrees | Cents | Hekts | Approximate Ratios |
---|---|---|---|

0 | 1/1 | ||

1 | 190.196 | 130 | 10/9, 28/25 |

2 | 380.391 | 260 | 5/4 |

3 | 570.587 | 390 | 7/5 |

4 | 760.782 | 520 | 14/9 |

5 | 950.978 | 650 | 45/26, 26/15 |

6 | 1141.173 | 780 | 27/14 |

7 | 1331.369 | 910 | 15/7 (15/14 plus an octave) |

8 | 1521.564 | 1040 | 12/5 (6/5 plus an octave) |

9 | 1711.760 | 1170 | 27/10 |

10 | 1901.955 | 1300 | 3/1 |

10edt, like 5edt, has very accurate 5-limit harmony for such a small number of steps per tritave. 10edt introduces some new harmonic properties though; notably the 571 cent tritone which can function as 7/5. It also splits the major third in half, categorizing this tuning as a fringe variety of "meantone" temperament.