The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

- Zeitler
- Zyrian

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

Pitch Class Set | {0,1,5,6,7,9,11} |

Forte Number | 7-15 |

Rotational Symmetry | none |

Reflection Axes | 3 |

Palindromic | no |

Chirality | no |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 471 |

Deep Scale | no |

Interval Vector | 442443 |

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

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

Spectra Variation | 2.286 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [6] |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2787 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3441 | Thacrian | ||||

3rd mode: Scale 471 | Dodian | This is the prime mode | |||

4th mode: Scale 2283 | Aeolyptian | ||||

5th mode: Scale 3189 | Aeolonian | ||||

6th mode: Scale 1821 | Aeradian | ||||

7th mode: Scale 1479 | Mela Jalarnava |

The prime form of this scale is Scale 471

Scale 471 | Dodian |

The heptatonic modal family [2787, 3441, 471, 2283, 3189, 1821, 1479] (Forte: 7-15) is the complement of the pentatonic modal family [327, 453, 1137, 2211, 3153] (Forte: 5-15)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2787 is 2283

Scale 2283 | Aeolyptian |

T_{0} | 2787 | T_{0}I | 2283 | |||||

T_{1} | 1479 | T_{1}I | 471 | |||||

T_{2} | 2958 | T_{2}I | 942 | |||||

T_{3} | 1821 | T_{3}I | 1884 | |||||

T_{4} | 3642 | T_{4}I | 3768 | |||||

T_{5} | 3189 | T_{5}I | 3441 | |||||

T_{6} | 2283 | T_{6}I | 2787 | |||||

T_{7} | 471 | T_{7}I | 1479 | |||||

T_{8} | 942 | T_{8}I | 2958 | |||||

T_{9} | 1884 | T_{9}I | 1821 | |||||

T_{10} | 3768 | T_{10}I | 3642 | |||||

T_{11} | 3441 | T_{11}I | 3189 |

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 2785 | ||||

Scale 2789 | Zolian | |||

Scale 2791 | Mixothyllic | |||

Scale 2795 | Van der Horst Octatonic | |||

Scale 2803 | Raga Bhatiyar | |||

Scale 2755 | ||||

Scale 2771 | Marva That | |||

Scale 2723 | Raga Jivantika | |||

Scale 2659 | Katynimic | |||

Scale 2915 | Aeolydian | |||

Scale 3043 | Ionayllic | |||

Scale 2275 | Messiaen Mode 5 | |||

Scale 2531 | Danian | |||

Scale 3299 | Syptian | |||

Scale 3811 | Epogyllic | |||

Scale 739 | Rorimic | |||

Scale 1763 | Katalian |

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