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

*i* = imperfections

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

Pitch Class Set | {0,1,3,4,7,8,9} |

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 923 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2509 | Double Harmonic Minor | ||||

3rd mode: Scale 1651 | Asian | ||||

4th mode: Scale 2873 | Ionian Augmented Sharp 2 | ||||

5th mode: Scale 871 | Locrian Double-flat 3 Double-flat 7 | This is the prime mode | |||

6th mode: Scale 2483 | Double Harmonic | ||||

7th mode: Scale 3289 | Lydian Sharp 2 Sharp 6 |

The prime form of this scale is Scale 871

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

The heptatonic modal family [923, 2509, 1651, 2873, 871, 2483, 3289] 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 923 is 2873

Scale 2873 | Ionian Augmented Sharp 2 |

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 921 | ||||

Scale 925 | Chromatic Hypodorian | |||

Scale 927 | ||||

Scale 915 | Raga Kalagada | |||

Scale 919 | Chromatic Phrygian Inverse | |||

Scale 907 | ||||

Scale 939 | Mela Senavati | |||

Scale 955 | ||||

Scale 987 | ||||

Scale 795 | ||||

Scale 859 | Ultralocrian | |||

Scale 667 | ||||

Scale 411 | ||||

Scale 1435 | Makam Huzzam | |||

Scale 1947 | ||||

Scale 2971 |

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