The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

- Western Altered
- Locrian Natural 6
- Locrian Sharp 6

- Arabic
- Maqam Tarznauyn

- Zeitler
- Thyptian

Cardinality | 7 (heptatonic) |
---|---|

Pitch Class Set | {0,1,3,5,6,9,10} |

Forte Number | 7-32 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2765 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 859 |

Deep Scale | no |

Interval Vector | 335442 |

Interval Spectrum | p^{4}m^{4}n^{5}s^{3}d^{3}t^{2} |

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

Spectra Variation | 1.429 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1643 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2869 | Ionian Augmented | ||||

3rd mode: Scale 1741 | Lydian Diminished | ||||

4th mode: Scale 1459 | Phrygian Dominant | ||||

5th mode: Scale 2777 | Aeolian Harmonic | ||||

6th mode: Scale 859 | Ultralocrian | This is the prime mode | |||

7th mode: Scale 2477 | Harmonic Minor |

The prime form of this scale is Scale 859

Scale 859 | Ultralocrian |

The heptatonic modal family [1643, 2869, 1741, 1459, 2777, 859, 2477] (Forte: 7-32) is the complement of the pentatonic modal family [595, 665, 805, 1225, 2345] (Forte: 5-32)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1643 is 2765

Scale 2765 | Lydian Diminished |

Only scales that are chiral will have an enantiomorph. Scale 1643 is chiral, and its enantiomorph is scale 2765

Scale 2765 | Lydian Diminished |

T_{0} | 1643 | T_{0}I | 2765 | |||||

T_{1} | 3286 | T_{1}I | 1435 | |||||

T_{2} | 2477 | T_{2}I | 2870 | |||||

T_{3} | 859 | T_{3}I | 1645 | |||||

T_{4} | 1718 | T_{4}I | 3290 | |||||

T_{5} | 3436 | T_{5}I | 2485 | |||||

T_{6} | 2777 | T_{6}I | 875 | |||||

T_{7} | 1459 | T_{7}I | 1750 | |||||

T_{8} | 2918 | T_{8}I | 3500 | |||||

T_{9} | 1741 | T_{9}I | 2905 | |||||

T_{10} | 3482 | T_{10}I | 1715 | |||||

T_{11} | 2869 | T_{11}I | 3430 |

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 1641 | Bocrimic | |||

Scale 1645 | Dorian Flat 5 | |||

Scale 1647 | Polyllic | |||

Scale 1635 | Sygimic | |||

Scale 1639 | Aeolothian | |||

Scale 1651 | Asian | |||

Scale 1659 | Maqam Shadd'araban | |||

Scale 1611 | Dacrimic | |||

Scale 1627 | Zyptian | |||

Scale 1579 | Sagimic | |||

Scale 1707 | Dorian Flat 2 | |||

Scale 1771 | ||||

Scale 1899 | Moptyllic | |||

Scale 1131 | Honchoshi Plagal Form | |||

Scale 1387 | Locrian | |||

Scale 619 | Double-Phrygian Hexatonic | |||

Scale 2667 | Byrian | |||

Scale 3691 | Badyllic |

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