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Also known as: Messiaen truncated mode 3, Prometheus (Liszt), Six Tone Symmetrical

*i* = imperfections

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

Pitch Class Set | {0,1,4,5,8,9} |

Forte Number | 6-20 |

Rotational Symmetry | 4, 8 semitones |

Palindromic | no |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 1 |

Prime? | yes |

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 |

Balanced | yes |

Coherence | yes |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 819 can be rotated to make 1 other scales. The 1st mode is itself.

2nd mode: Scale 2457 | Major Augmented |

This is the prime form of this scale.

The hexatonic modal family [819, 2457] 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 819 is 2457

Scale 2457 | Major Augmented |

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 817 | ||||

Scale 821 | ||||

Scale 823 | ||||

Scale 827 | ||||

Scale 803 | ||||

Scale 811 | ||||

Scale 787 | ||||

Scale 851 | Raga Hejjajji | |||

Scale 883 | ||||

Scale 947 | Mela Gayakapriya | |||

Scale 563 | ||||

Scale 691 | Raga Kalavati | |||

Scale 307 | Raga Megharanjani | |||

Scale 1331 | Raga Vasantabhairavi | |||

Scale 1843 | ||||

Scale 2867 |

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