The Exciting Universe Of Music Theory

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- Zeitler
- Ionidygic

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

Pitch Class Set | {0,2,3,4,6,8,9,10,11} |

Forte Number | 9-8 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1887 |

Hemitonia | 6 (multihemitonic) |

Cohemitonia | 4 (multicohemitonic) |

Imperfections | 3 |

Modes | 8 |

Prime? | no prime: 1503 |

Deep Scale | no |

Interval Vector | 676764 |

Interval Spectrum | p^{6}m^{7}n^{6}s^{7}d^{6}t^{4} |

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

Spectra Variation | 1.556 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3933 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode: Scale 2007 | Stonygic | ||||

3rd mode: Scale 3051 | Stalygic | ||||

4th mode: Scale 3573 | Kaptygic | ||||

5th mode: Scale 1917 | Thydyllian | ||||

6th mode: Scale 1503 | Epiryllian | This is the prime mode | |||

7th mode: Scale 2799 | Lyryllian | ||||

8th mode: Scale 3447 | Mogyllian | ||||

9th mode: Scale 3771 | Katodyllian |

The prime form of this scale is Scale 1503

Scale 1503 | Epiryllian |

The nonatonic modal family [3933, 2007, 3051, 3573, 1917, 1503, 2799, 3447, 3771] (Forte: 9-8) is the complement of the tritonic modal family [69, 321, 1041] (Forte: 3-8)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3933 is 1887

Scale 1887 | Aerocrygic |

Only scales that are chiral will have an enantiomorph. Scale 3933 is chiral, and its enantiomorph is scale 1887

Scale 1887 | Aerocrygic |

T_{0} | 3933 | T_{0}I | 1887 | |||||

T_{1} | 3771 | T_{1}I | 3774 | |||||

T_{2} | 3447 | T_{2}I | 3453 | |||||

T_{3} | 2799 | T_{3}I | 2811 | |||||

T_{4} | 1503 | T_{4}I | 1527 | |||||

T_{5} | 3006 | T_{5}I | 3054 | |||||

T_{6} | 1917 | T_{6}I | 2013 | |||||

T_{7} | 3834 | T_{7}I | 4026 | |||||

T_{8} | 3573 | T_{8}I | 3957 | |||||

T_{9} | 3051 | T_{9}I | 3819 | |||||

T_{10} | 2007 | T_{10}I | 3543 | |||||

T_{11} | 4014 | T_{11}I | 2991 |

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 3935 | Kataphyllian | |||

Scale 3929 | Aeolothyllic | |||

Scale 3931 | Aerygic | |||

Scale 3925 | Thyryllic | |||

Scale 3917 | Katoptyllic | |||

Scale 3949 | Koptygic | |||

Scale 3965 | Messiaen Mode 7 Inverse | |||

Scale 3869 | Bygyllic | |||

Scale 3901 | Bycrygic | |||

Scale 3997 | Dogygic | |||

Scale 4061 | Staptyllian | |||

Scale 3677 | ||||

Scale 3805 | Moptygic | |||

Scale 3421 | Aerothyllic | |||

Scale 2909 | Mocryllic | |||

Scale 1885 | Saptyllic |

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