The Exciting Universe Of Music Theory

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- Zeitler
- Aeoryllian

Cardinality | 10 (decatonic) |
---|---|

Pitch Class Set | {0,1,3,4,5,6,8,9,10,11} |

Forte Number | 10-5 |

Rotational Symmetry | none |

Reflection Axes | 4.5 |

Palindromic | no |

Chirality | no |

Hemitonia | 8 (multihemitonic) |

Cohemitonia | 6 (multicohemitonic) |

Imperfections | 1 |

Modes | 9 |

Prime? | no prime: 1983 |

Deep Scale | no |

Interval Vector | 888894 |

Interval Spectrum | p^{9}m^{8}n^{8}s^{8}d^{8}t^{4} |

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

Spectra Variation | 1 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [9] |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3963 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode: Scale 4029 | Major/Minor Mixed | ||||

3rd mode: Scale 2031 | Gadyllian | ||||

4th mode: Scale 3063 | Solyllian | ||||

5th mode: Scale 3579 | Zyphyllian | ||||

6th mode: Scale 3837 | Minor Pentatonic With Leading Tones | ||||

7th mode: Scale 1983 | Soryllian | This is the prime mode | |||

8th mode: Scale 3039 | Godyllian | ||||

9th mode: Scale 3567 | Epityllian | ||||

10th mode: Scale 3831 | Ionyllian |

The prime form of this scale is Scale 1983

Scale 1983 | Soryllian |

The decatonic modal family [3963, 4029, 2031, 3063, 3579, 3837, 1983, 3039, 3567, 3831] (Forte: 10-5) is the complement of the modal family [33, 129] (Forte: 2-5)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3963 is 3039

Scale 3039 | Godyllian |

T_{0} | 3963 | T_{0}I | 3039 | |||||

T_{1} | 3831 | T_{1}I | 1983 | |||||

T_{2} | 3567 | T_{2}I | 3966 | |||||

T_{3} | 3039 | T_{3}I | 3837 | |||||

T_{4} | 1983 | T_{4}I | 3579 | |||||

T_{5} | 3966 | T_{5}I | 3063 | |||||

T_{6} | 3837 | T_{6}I | 2031 | |||||

T_{7} | 3579 | T_{7}I | 4062 | |||||

T_{8} | 3063 | T_{8}I | 4029 | |||||

T_{9} | 2031 | T_{9}I | 3963 | |||||

T_{10} | 4062 | T_{10}I | 3831 | |||||

T_{11} | 4029 | T_{11}I | 3567 |

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 3961 | Zathygic | |||

Scale 3965 | Messiaen Mode 7 Inverse | |||

Scale 3967 | Soratic | |||

Scale 3955 | Pothygic | |||

Scale 3959 | Katagyllian | |||

Scale 3947 | Ryptygic | |||

Scale 3931 | Aerygic | |||

Scale 3899 | Katorygic | |||

Scale 4027 | Ragyllian | |||

Scale 4091 | Thydatic | |||

Scale 3707 | Rynygic | |||

Scale 3835 | ||||

Scale 3451 | Garygic | |||

Scale 2939 | Goptygic | |||

Scale 1915 | Thydygic |

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