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Also known as: Tcherepnin Octatonic mode 2, Fourth mode of limited transposition

*i* = imperfections

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

Pitch Class Set | {0,1,2,5,6,7,8,11} |

Forte Number | 8-9 |

Rotational Symmetry | 6 semitones |

Palindromic | no |

Hemitonia | 6 (multihemitonic) |

Cohemitonia | 4 (multicohemitonic) |

Imperfections | 2 |

Modes | 3 |

Prime? | no prime: 975 |

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 2535 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode: Scale 3315 | Tcherepnin Octatonic mode 1 | ||||

3rd mode: Scale 3705 | Messiaen mode 4 inverse | ||||

4th mode: Scale 975 | Messiaen mode 4 | This is the prime mode |

The prime form of this scale is Scale 975

Scale 975 | Messiaen mode 4 |

The octatonic modal family [2535, 3315, 3705, 975] 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 2535 is 3315

Scale 3315 | Tcherepnin Octatonic mode 1 |

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 2533 | ||||

Scale 2531 | ||||

Scale 2539 | Half-diminished Bebop | |||

Scale 2543 | ||||

Scale 2551 | ||||

Scale 2503 | Mela Jhalavarali | |||

Scale 2519 | ||||

Scale 2471 | Mela Ganamurti | |||

Scale 2407 | ||||

Scale 2279 | ||||

Scale 2791 | ||||

Scale 3047 | ||||

Scale 3559 | ||||

Scale 487 | ||||

Scale 1511 |

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