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

*i* = imperfections

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

Pitch Class Set | {0,2,4,5,6,8,9,11} |

Forte Number | 8-27 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 7 |

Prime? | no prime: 1463 |

Chirality | yes enantiomorph: 1499 |

Deep Scale | no |

Interval Vector | 456553 |

Interval Spectrum | p^{5}m^{5}n^{6}s^{5}d^{4}t^{3} |

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

Spectra Variation | 1.25 |

Myhill Property | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2933 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode: Scale 1757 | |||||

3rd mode: Scale 1463 | This is the prime mode | ||||

4th mode: Scale 2779 | Shostakovich | ||||

5th mode: Scale 3437 | |||||

6th mode: Scale 1883 | |||||

7th mode: Scale 2989 | Bebop Minor | ||||

8th mode: Scale 1771 |

The prime form of this scale is Scale 1463

Scale 1463 |

The octatonic modal family [2933, 1757, 1463, 2779, 3437, 1883, 2989, 1771] is the negative of the tetratonic modal family [293, 593, 649, 1097]

The inverse of a scale is a reflection using the root as its axis. The inverse of 2933 is 1499

Scale 1499 | Bebop Locrian |

Only scales that are chiral will have an enantiomorph. Scale 2933 is chiral, and its enantiomorph is scale 1499

Scale 1499 | Bebop Locrian |

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 2935 | ||||

Scale 2929 | ||||

Scale 2931 | ||||

Scale 2937 | ||||

Scale 2941 | ||||

Scale 2917 | Nohkan Flute scale | |||

Scale 2925 | Diminished | |||

Scale 2901 | Lydian Augmented | |||

Scale 2869 | Ionian Augmented | |||

Scale 2997 | Major Bebop | |||

Scale 3061 | ||||

Scale 2677 | ||||

Scale 2805 | Ishikotsucho | |||

Scale 2421 | ||||

Scale 3445 | Messiaen mode 6 inverse | |||

Scale 3957 | ||||

Scale 885 | ||||

Scale 1909 |

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