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Also known as: Superlocrian Diminished, Superlocrian Double-Flat 7, Mixolydian sharp 1, Diminished

*i* = imperfections

Tones | 7 (heptatonic) |
---|---|

Pitch Class Set | {0,1,3,4,6,8,9} |

Forte Number | 7-32 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | yes |

Chirality | yes enantiomorph: 2905 |

Deep Scale | no |

Interval Vector | 335442 |

Interval Spectrum | p^{4}m^{4}n^{5}s^{3}d^{3}t^{2} |

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

Spectra Variation | 1.429 |

Myhill Property | no |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 859 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2477 | Harmonic Minor | ||||

3rd mode: Scale 1643 | Locrian natural 6 | ||||

4th mode: Scale 2869 | Ionian Augmented | ||||

5th mode: Scale 1741 | Altered Dorian | ||||

6th mode: Scale 1459 | Phrygian Dominant | ||||

7th mode: Scale 2777 | Aeolian Harmonic |

This is the prime form of this scale.

The heptatonic modal family [859, 2477, 1643, 2869, 1741, 1459, 2777] is the negative of the pentatonic modal family [595, 665, 805, 1225, 2345]

The inverse of a scale is a reflection using the root as its axis. The inverse of 859 is 2905

Scale 2905 | Aeolian flat 1 |

Only scales that are chiral will have an enantiomorph. Scale 859 is chiral, and its enantiomorph is scale 2905

Scale 2905 | Aeolian flat 1 |

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 857 | ||||

Scale 861 | ||||

Scale 863 | ||||

Scale 851 | Raga Hejjajji | |||

Scale 855 | ||||

Scale 843 | ||||

Scale 875 | Locrian Double-flat 7 | |||

Scale 891 | ||||

Scale 795 | ||||

Scale 827 | ||||

Scale 923 | Ultraphrygian | |||

Scale 987 | ||||

Scale 603 | ||||

Scale 731 | ||||

Scale 347 | ||||

Scale 1371 | Superlocrian | |||

Scale 1883 | ||||

Scale 2907 | Magen Abot |

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