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Also known as: sixth mode of limited transposition

*i* = imperfections

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

Pitch Class Set | {0,2,4,5,6,8,10,11} |

Forte Number | 8-25 |

Rotational Symmetry | 6 semitones |

Palindromic | no |

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 |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3445 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode: Scale 1885 | |||||

3rd mode: Scale 1495 | Messiaen mode 6 | This is the prime mode | |||

4th mode: Scale 2795 | Van der Horst Octatonic |

The prime form of this scale is Scale 1495

Scale 1495 | Messiaen mode 6 |

The octatonic modal family [3445, 1885, 1495, 2795] 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 3445 is 1495

Scale 1495 | Messiaen mode 6 |

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 3447 | ||||

Scale 3441 | ||||

Scale 3443 | Verdi's Scala enigmatica | |||

Scale 3449 | ||||

Scale 3453 | ||||

Scale 3429 | ||||

Scale 3437 | ||||

Scale 3413 | Leading Whole-tone | |||

Scale 3381 | ||||

Scale 3509 | ||||

Scale 3573 | ||||

Scale 3189 | ||||

Scale 3317 | ||||

Scale 3701 | ||||

Scale 3957 | ||||

Scale 2421 | ||||

Scale 2933 | ||||

Scale 1397 | Major Locrian |

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