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- Messiaen
- Messiaen Mode 7 Inverse

Cardinality | 10 (decatonic) |
---|---|

Pitch Class Set | {0,2,3,4,5,6,8,9,10,11} |

Forte Number | 10-6 |

Rotational Symmetry | 6 semitones |

Reflection Axes | 1, 4 |

Palindromic | no |

Chirality | no |

Hemitonia | 8 (multihemitonic) |

Cohemitonia | 6 (multicohemitonic) |

Imperfections | 2 |

Modes | 4 |

Prime? | no prime: 2015 |

Deep Scale | no |

Interval Vector | 888885 |

Interval Spectrum | p^{8}m^{8}n^{8}s^{8}d^{8}t^{5} |

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

Spectra Variation | 0.8 |

Maximally Even | yes |

Myhill Property | no |

Balanced | yes |

Ridge Tones | [2,8] |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3965 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 2015 | Messiaen Mode 7 | This is the prime mode | |||

3rd mode: Scale 3055 | Messiaen Mode 7 | ||||

4th mode: Scale 3575 | Symmetrical Decatonic | ||||

5th mode: Scale 3835 |

The prime form of this scale is Scale 2015

Scale 2015 | Messiaen Mode 7 |

The decatonic modal family [3965, 2015, 3055, 3575, 3835] (Forte: 10-6) is the complement of the modal family [65] (Forte: 2-6)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3965 is 2015

Scale 2015 | Messiaen Mode 7 |

T_{0} | 3965 | T_{0}I | 2015 | |||||

T_{1} | 3835 | T_{1}I | 4030 | |||||

T_{2} | 3575 | T_{2}I | 3965 | |||||

T_{3} | 3055 | T_{3}I | 3835 | |||||

T_{4} | 2015 | T_{4}I | 3575 | |||||

T_{5} | 4030 | T_{5}I | 3055 | |||||

T_{6} | 3965 | T_{6}I | 2015 | |||||

T_{7} | 3835 | T_{7}I | 4030 | |||||

T_{8} | 3575 | T_{8}I | 3965 | |||||

T_{9} | 3055 | T_{9}I | 3835 | |||||

T_{10} | 2015 | T_{10}I | 3575 | |||||

T_{11} | 4030 | T_{11}I | 3055 |

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 3967 | Soratic | |||

Scale 3961 | Zathygic | |||

Scale 3963 | Aeoryllian | |||

Scale 3957 | Porygic | |||

Scale 3949 | Koptygic | |||

Scale 3933 | Ionidygic | |||

Scale 3901 | Bycrygic | |||

Scale 4029 | Major/Minor Mixed | |||

Scale 4093 | Aerycratic | |||

Scale 3709 | Katynygic | |||

Scale 3837 | Minor Pentatonic With Leading Tones | |||

Scale 3453 | Katarygic | |||

Scale 2941 | Laptygic | |||

Scale 1917 | Thydyllian |

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. Bibliography