# 8/7ths equal temperament

**8/7 equal temperament**

Using a Just 8/7 whole tone as the basis of an equal temperament tuning results in an interesting non-octave tuning. As every interval is a multiple of 8/7, the resultant tuning would be a subset of 7-limit Just intonation. This can be also viewed as generating a subset of gamelismic temperaments.

## Intervals as 7-limit ratios

Ratio | Cents | |
---|---|---|

(8/7)0 | 1/1 | 0.0000 |

(8/7)1 | 8/7 | 231.1741 |

(8/7)2 | 64/49 | 462.3482 |

(8/7)3 | 512/343 | 693.5223 |

(8/7)4 | 4096/2401 | 924.6964 |

(8/7)5 | 32768/16807 | 1155.8705 |

(8/7)6 | 262144/117649 | 1387.0446 |

(8/7)7 | 2097152/823543 | 1618.2187 |

(8/7)8 | 16777216/5764801 | 1849.3927 |

(8/7)9 | 134217728/40353607 | 2080.5668 |

(8/7)10 | 1073741824/282475249 | 2311.7409 |

(8/7)11 | 8589934592/1977326743 | 2542.9150 |