# Diminished sixth

In classical music from Western culture, a **diminished sixth** (

Inverse | augmented third |
---|---|

Name | |

Other names | - |

Abbreviation | d6[1] |

Size | |

Semitones | 7 |

Interval class | 5 |

Just interval | 192:125,[2] 32:21,49:32 |

Cents | |

Equal temperament | 700 |

24 equal temperament | 700 |

Just intonation | 743 |

Its inversion is the augmented third, and its enharmonic equivalent is the perfect fifth.

## Wolf fifth

A severely dissonant diminished sixth is observed when the instrument is tuned using a Pythagorean or a meantone temperament tuning system. Typically, this is the interval between G♯ and E♭. Since it seems to howl like a wolf (because of the beating), and since it is meant to be the enharmonic equivalent to a fifth, this interval is called the wolf fifth. Notice that a justly tuned fifth is the most consonant interval after the perfect unison and the perfect octave.

## Sources

- Benward & Saker (2003).
*Music: In Theory and Practice, Vol. I*, p.54. ISBN 978-0-07-294262-0. Specific example of an d6 not given but general example of minor intervals described. - Haluska, Jan (2003).
*The Mathematical Theory of Tone Systems*, p.xxvi. ISBN 0-8247-4714-3. Classic diminished sixth. - Hoffmann, F.A. (1881).
*Music: Its Theory & Practice*, p.89-90. Thurgate & Sons. Digitized Aug 16, 2007. - Benward & Saker (2003), p.92.