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Also known as: Messiaen truncated mode 3 inverse, Genus Tertium, Raga Devamani, Augmented

*i* = imperfections

Tones | 6 (hexatonic) |
---|---|

Pitch Class Set | {0,3,4,7,8,11} |

Forte Number | 6-20 |

Rotational Symmetry | 4, 8 semitones |

Palindromic | no |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 1 |

Prime? | no prime: 819 |

Chirality | no |

Deep Scale | no |

Interval Vector | 303630 |

Interval Spectrum | p^{3}m^{6}n^{3}d^{3} |

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

Spectra Variation | 1 |

Myhill Property | no |

Coherence | yes |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2457 can be rotated to make 1 other scales. The 1st mode is itself.

2nd mode: Scale 819 | Augmented Inverse | This is the prime mode |

The prime form of this scale is Scale 819

Scale 819 | Augmented Inverse |

The hexatonic modal family [2457, 819] is the negative of the hexatonic modal family [819, 2457]

The inverse of a scale is a reflection using the root as its axis. The inverse of 2457 is 819

Scale 819 | Augmented 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 2459 | ||||

Scale 2461 | ||||

Scale 2449 | ||||

Scale 2453 | Raga Latika | |||

Scale 2441 | ||||

Scale 2473 | Raga Takka | |||

Scale 2489 | Mela Gangeyabhusani | |||

Scale 2521 | Mela Dhatuvardhani | |||

Scale 2329 | ||||

Scale 2393 | ||||

Scale 2201 | ||||

Scale 2713 | ||||

Scale 2969 | ||||

Scale 3481 | ||||

Scale 409 | ||||

Scale 1433 |

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