presents more than you ever wanted to know about...

*i* = imperfections

Tones | 6 (hexatonic) |
---|---|

Pitch Class Set | {0,4,5,6,10,11} |

Forte Number | 6-7 |

Rotational Symmetry | 6 semitones |

Palindromic | no |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 2 |

Modes | 2 |

Prime? | no prime: 455 |

Chirality | no |

Deep Scale | no |

Interval Vector | 420243 |

Interval Spectrum | p^{4}m^{2}s^{2}d^{4}t^{3} |

Distribution Spectra | <1> = {1,4} <2> = {2,5} <3> = {6} <4> = {7,10} <5> = {8,11} |

Spectra Variation | 2 |

Myhill Property | no |

Balanced | yes |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3185 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode: Scale 455 | Messiaen mode 5 | This is the prime mode | |||

3rd mode: Scale 2275 | Messiaen Mode 5 |

The prime form of this scale is Scale 455

Scale 455 | Messiaen mode 5 |

The hexatonic modal family [3185, 455, 2275] is the negative of the hexatonic modal family [455, 2275, 3185]

The inverse of a scale is a reflection using the root as its axis. The inverse of 3185 is 455

Scale 455 | Messiaen mode 5 |

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 3187 | ||||

Scale 3189 | ||||

Scale 3193 | ||||

Scale 3169 | ||||

Scale 3177 | ||||

Scale 3153 | ||||

Scale 3121 | ||||

Scale 3249 | Raga Tilang | |||

Scale 3313 | ||||

Scale 3441 | ||||

Scale 3697 | ||||

Scale 2161 | ||||

Scale 2673 | ||||

Scale 1137 |

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js