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

*i* = imperfections

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

Pitch Class Set | {0,3,4,5,8,9,11} |

Forte Number | 7-22 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 871 |

Chirality | no |

Deep Scale | no |

Interval Vector | 424542 |

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

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

Spectra Variation | 1.714 |

Myhill Property | no |

Balanced | yes |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2873 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 871 | Locrian Double-flat 3 Double-flat 7 | This is the prime mode | |||

3rd mode: Scale 2483 | Double Harmonic | ||||

4th mode: Scale 3289 | Lydian Sharp 2 Sharp 6 | ||||

5th mode: Scale 923 | Ultraphrygian | ||||

6th mode: Scale 2509 | Double Harmonic Minor | ||||

7th mode: Scale 1651 | Asian |

The prime form of this scale is Scale 871

Scale 871 | Locrian Double-flat 3 Double-flat 7 |

The heptatonic modal family [2873, 871, 2483, 3289, 923, 2509, 1651] is the negative of the pentatonic modal family [403, 611, 793, 2249, 2353]

The inverse of a scale is a reflection using the root as its axis. The inverse of 2873 is 923

Scale 923 | Ultraphrygian |

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 2875 | ||||

Scale 2877 | ||||

Scale 2865 | ||||

Scale 2869 | Ionian Augmented | |||

Scale 2857 | ||||

Scale 2841 | ||||

Scale 2905 | Aeolian flat 1 | |||

Scale 2937 | ||||

Scale 3001 | ||||

Scale 2617 | ||||

Scale 2745 | Mela Sulini | |||

Scale 2361 | ||||

Scale 3385 | Chromatic Phrygian | |||

Scale 3897 | ||||

Scale 825 | ||||

Scale 1849 | Chromatic Hypodorian inverse |

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