The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

- Zeitler
- Mycrygic

Cardinality | 9 (nonatonic) |
---|---|

Pitch Class Set | {0,1,3,4,5,6,7,9,10} |

Forte Number | 9-10 |

Rotational Symmetry | none |

Reflection Axes | 5 |

Palindromic | no |

Chirality | no |

Hemitonia | 6 (multihemitonic) |

Cohemitonia | 3 (tricohemitonic) |

Imperfections | 3 |

Modes | 8 |

Prime? | no prime: 1759 |

Deep Scale | no |

Interval Vector | 668664 |

Interval Spectrum | p^{6}m^{6}n^{8}s^{6}d^{6}t^{4} |

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

Spectra Variation | 1.333 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [10] |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1787 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode: Scale 2941 | Laptygic | ||||

3rd mode: Scale 1759 | Pylygic | This is the prime mode | |||

4th mode: Scale 2927 | Rodygic | ||||

5th mode: Scale 3511 | Epolygic | ||||

6th mode: Scale 3803 | Epidygic | ||||

7th mode: Scale 3949 | Koptygic | ||||

8th mode: Scale 2011 | Raphygic | ||||

9th mode: Scale 3053 | Zycrygic |

The prime form of this scale is Scale 1759

Scale 1759 | Pylygic |

The nonatonic modal family [1787, 2941, 1759, 2927, 3511, 3803, 3949, 2011, 3053] (Forte: 9-10) is the complement of the tritonic modal family [73, 521, 577] (Forte: 3-10)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1787 is 3053

Scale 3053 | Zycrygic |

T_{0} | 1787 | T_{0}I | 3053 | |||||

T_{1} | 3574 | T_{1}I | 2011 | |||||

T_{2} | 3053 | T_{2}I | 4022 | |||||

T_{3} | 2011 | T_{3}I | 3949 | |||||

T_{4} | 4022 | T_{4}I | 3803 | |||||

T_{5} | 3949 | T_{5}I | 3511 | |||||

T_{6} | 3803 | T_{6}I | 2927 | |||||

T_{7} | 3511 | T_{7}I | 1759 | |||||

T_{8} | 2927 | T_{8}I | 3518 | |||||

T_{9} | 1759 | T_{9}I | 2941 | |||||

T_{10} | 3518 | T_{10}I | 1787 | |||||

T_{11} | 2941 | T_{11}I | 3574 |

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 1785 | Tharyllic | |||

Scale 1789 | Blues Enneatonic II | |||

Scale 1791 | Aerygyllian | |||

Scale 1779 | Zynyllic | |||

Scale 1783 | Youlan scale | |||

Scale 1771 | ||||

Scale 1755 | Octatonic | |||

Scale 1723 | JG Octatonic | |||

Scale 1659 | Maqam Shadd'araban | |||

Scale 1915 | Thydygic | |||

Scale 2043 | Maqam Tarzanuyn | |||

Scale 1275 | Stagyllic | |||

Scale 1531 | Styptygic | |||

Scale 763 | Doryllic | |||

Scale 2811 | Barygic | |||

Scale 3835 |

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