The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

- Zeitler
- Thalian

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

Pitch Class Set | {0,1,5,6,8,9,10} |

Forte Number | 7-Z37 |

Rotational Symmetry | none |

Reflection Axes | 3 |

Palindromic | no |

Chirality | no |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 443 |

Deep Scale | no |

Interval Vector | 434541 |

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

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

Spectra Variation | 2.571 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [6] |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1891 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2993 | Stythian | ||||

3rd mode: Scale 443 | Kothian | This is the prime mode | |||

4th mode: Scale 2269 | Pygian | ||||

5th mode: Scale 1591 | Rodian | ||||

6th mode: Scale 2843 | Sorian | ||||

7th mode: Scale 3469 | Monian |

The prime form of this scale is Scale 443

Scale 443 | Kothian |

The heptatonic modal family [1891, 2993, 443, 2269, 1591, 2843, 3469] (Forte: 7-Z37) is the complement of the pentatonic modal family [313, 551, 913, 2323, 3209] (Forte: 5-Z37)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1891 is 2269

Scale 2269 | Pygian |

T_{0} | 1891 | T_{0}I | 2269 | |||||

T_{1} | 3782 | T_{1}I | 443 | |||||

T_{2} | 3469 | T_{2}I | 886 | |||||

T_{3} | 2843 | T_{3}I | 1772 | |||||

T_{4} | 1591 | T_{4}I | 3544 | |||||

T_{5} | 3182 | T_{5}I | 2993 | |||||

T_{6} | 2269 | T_{6}I | 1891 | |||||

T_{7} | 443 | T_{7}I | 3782 | |||||

T_{8} | 886 | T_{8}I | 3469 | |||||

T_{9} | 1772 | T_{9}I | 2843 | |||||

T_{10} | 3544 | T_{10}I | 1591 | |||||

T_{11} | 2993 | T_{11}I | 3182 |

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 1889 | ||||

Scale 1893 | Ionylian | |||

Scale 1895 | Salyllic | |||

Scale 1899 | Moptyllic | |||

Scale 1907 | Lynyllic | |||

Scale 1859 | ||||

Scale 1875 | Epyphian | |||

Scale 1827 | Katygimic | |||

Scale 1955 | Sonian | |||

Scale 2019 | Palyllic | |||

Scale 1635 | Sygimic | |||

Scale 1763 | Katalian | |||

Scale 1379 | Kycrimic | |||

Scale 867 | Phrocrimic | |||

Scale 2915 | Aeolydian | |||

Scale 3939 | Dogyllic |

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