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Also known as: Tcherepnin Octatonic mode 3

*i* = imperfections

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

Pitch Class Set | {0,1,2,3,6,7,8,9} |

Forte Number | 8-9 |

Rotational Symmetry | 6 semitones |

Palindromic | no |

Hemitonia | 6 (multihemitonic) |

Cohemitonia | 4 (multicohemitonic) |

Imperfections | 2 |

Modes | 3 |

Prime? | yes |

Chirality | no |

Deep Scale | no |

Interval Vector | 644464 |

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

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

Spectra Variation | 1.5 |

Myhill Property | no |

Balanced | yes |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 975 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode: Scale 2535 | Messiaen mode 4 | ||||

3rd mode: Scale 3315 | Tcherepnin Octatonic mode 1 | ||||

4th mode: Scale 3705 | Messiaen mode 4 inverse |

This is the prime form of this scale.

The octatonic modal family [975, 2535, 3315, 3705] is the negative of the tetratonic modal family [195, 2145]

The inverse of a scale is a reflection using the root as its axis. The inverse of 975 is 3705

Scale 3705 | Messiaen mode 4 inverse |

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 973 | Mela Syamalangi | |||

Scale 971 | Mela Gavambodhi | |||

Scale 967 | Mela Salaga | |||

Scale 983 | ||||

Scale 991 | ||||

Scale 1007 | ||||

Scale 911 | ||||

Scale 943 | ||||

Scale 847 | ||||

Scale 719 | ||||

Scale 463 | ||||

Scale 1487 | ||||

Scale 1999 | ||||

Scale 3023 |

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