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- Zeitler
- Thanimic

Cardinality | 6 (hexatonic) |
---|---|

Pitch Class Set | {0,1,5,9,10,11} |

Forte Number | 6-Z37 |

Rotational Symmetry | none |

Reflection Axes | 5 |

Palindromic | no |

Chirality | no |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 3 (tricohemitonic) |

Imperfections | 4 |

Modes | 5 |

Prime? | no prime: 287 |

Deep Scale | no |

Interval Vector | 432321 |

Interval Spectrum | p^{2}m^{3}n^{2}s^{3}d^{4}t |

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

Spectra Variation | 4 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [10] |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3619 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 3857 | Ponimic | ||||

3rd mode: Scale 497 | Kadimic | ||||

4th mode: Scale 287 | Gynimic | This is the prime mode | |||

5th mode: Scale 2191 | Thydimic | ||||

6th mode: Scale 3143 | Polimic |

The prime form of this scale is Scale 287

Scale 287 | Gynimic |

The hexatonic modal family [3619, 3857, 497, 287, 2191, 3143] (Forte: 6-Z37) is the complement of the hexatonic modal family [119, 1799, 2107, 2947, 3101, 3521] (Forte: 6-Z4)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3619 is 2191

Scale 2191 | Thydimic |

T_{0} | 3619 | T_{0}I | 2191 | |||||

T_{1} | 3143 | T_{1}I | 287 | |||||

T_{2} | 2191 | T_{2}I | 574 | |||||

T_{3} | 287 | T_{3}I | 1148 | |||||

T_{4} | 574 | T_{4}I | 2296 | |||||

T_{5} | 1148 | T_{5}I | 497 | |||||

T_{6} | 2296 | T_{6}I | 994 | |||||

T_{7} | 497 | T_{7}I | 1988 | |||||

T_{8} | 994 | T_{8}I | 3976 | |||||

T_{9} | 1988 | T_{9}I | 3857 | |||||

T_{10} | 3976 | T_{10}I | 3619 | |||||

T_{11} | 3857 | T_{11}I | 3143 |

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 3617 | ||||

Scale 3621 | Gylimic | |||

Scale 3623 | Aerocrian | |||

Scale 3627 | Kalian | |||

Scale 3635 | Katygian | |||

Scale 3587 | ||||

Scale 3603 | ||||

Scale 3651 | ||||

Scale 3683 | Dycrian | |||

Scale 3747 | Myrian | |||

Scale 3875 | Aeryptian | |||

Scale 3107 | ||||

Scale 3363 | Rogimic | |||

Scale 2595 | Rolitonic | |||

Scale 1571 | Lagitonic |

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