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

*i* = imperfections

Tones | 8 (octatonic) |
---|---|

Pitch Class Set | {0,2,3,4,6,8,9,10} |

Forte Number | 8-25 |

Rotational Symmetry | 6 semitones |

Palindromic | yes |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 4 |

Modes | 3 |

Prime? | no prime: 1495 |

Chirality | no |

Deep Scale | no |

Interval Vector | 464644 |

Interval Spectrum | p^{4}m^{6}n^{4}s^{6}d^{4}t^{4} |

Distribution Spectra | <1> = {1,2} <2> = {2,3,4} <3> = {4,5} <4> = {6} <5> = {7,8} <6> = {8,9,10} <7> = {10,11} |

Spectra Variation | 1 |

Myhill Property | no |

Balanced | yes |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1885 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode: Scale 1495 | Messiaen mode 6 | This is the prime mode | |||

3rd mode: Scale 2795 | Van der Horst Octatonic | ||||

4th mode: Scale 3445 | Messiaen mode 6 inverse |

The prime form of this scale is Scale 1495

Scale 1495 | Messiaen mode 6 |

The octatonic modal family [1885, 1495, 2795, 3445] is the negative of the tetratonic modal family [325, 1105]

The inverse of a scale is a reflection using the root as its axis. The inverse of 1885 is itself, because it is a palindromic scale!

Scale 1885 |

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 1887 | ||||

Scale 1881 | ||||

Scale 1883 | ||||

Scale 1877 | ||||

Scale 1869 | ||||

Scale 1901 | ||||

Scale 1917 | ||||

Scale 1821 | ||||

Scale 1853 | ||||

Scale 1949 | ||||

Scale 2013 | ||||

Scale 1629 | ||||

Scale 1757 | ||||

Scale 1373 | ||||

Scale 861 | ||||

Scale 2909 | ||||

Scale 3933 |

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