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Also known as: Tcherepnin Nonatonic mode 1, Augmented-9

*i* = imperfections

Tones | 9 (nonatonic) |
---|---|

Pitch Class Set | {0,1,3,4,5,7,8,9,11} |

Forte Number | 9-12 |

Rotational Symmetry | 4, 8 semitones |

Palindromic | yes |

Hemitonia | 6 (multihemitonic) |

Cohemitonia | 3 (tricohemitonic) |

Imperfections | 3 |

Modes | 2 |

Prime? | no prime: 1911 |

Chirality | no |

Deep Scale | no |

Interval Vector | 666963 |

Interval Spectrum | p^{6}m^{9}n^{6}s^{6}d^{6}t^{3} |

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

Spectra Variation | 0.667 |

Myhill Property | no |

Balanced | yes |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3003 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode: Scale 3549 | Messiaen mode 3 inverse | ||||

3rd mode: Scale 1911 | Messiaen mode 3 | This is the prime mode |

The prime form of this scale is Scale 1911

Scale 1911 | Messiaen mode 3 |

The nonatonic modal family [3003, 3549, 1911] is the negative of the tritonic modal family [273]

The inverse of a scale is a reflection using the root as its axis. The inverse of 3003 is itself, because it is a palindromic scale!

Scale 3003 | Genus Chromaticum |

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 3001 | ||||

Scale 3005 | ||||

Scale 3007 | ||||

Scale 2995 | Raga Saurashtra | |||

Scale 2999 | ||||

Scale 2987 | ||||

Scale 2971 | ||||

Scale 3035 | ||||

Scale 3067 | ||||

Scale 2875 | ||||

Scale 2939 | ||||

Scale 2747 | ||||

Scale 2491 | ||||

Scale 3515 | Moorish Phrygian | |||

Scale 4027 | ||||

Scale 955 | ||||

Scale 1979 |

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