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- Zeitler
- Godyllian

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

Pitch Class Set | {0,1,2,3,4,6,7,8,9,11} |

Forte Number | 10-5 |

Rotational Symmetry | none |

Reflection Axes | 1.5 |

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 | [3] |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3039 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode: Scale 3567 | Epityllian | ||||

3rd mode: Scale 3831 | Ionyllian | ||||

4th mode: Scale 3963 | Aeoryllian | ||||

5th mode: Scale 4029 | Major/Minor Mixed | ||||

6th mode: Scale 2031 | Gadyllian | ||||

7th mode: Scale 3063 | Solyllian | ||||

8th mode: Scale 3579 | Zyphyllian | ||||

9th mode: Scale 3837 | Minor Pentatonic With Leading Tones | ||||

10th mode: Scale 1983 | Soryllian | This is the prime mode |

The prime form of this scale is Scale 1983

Scale 1983 | Soryllian |

The decatonic modal family [3039, 3567, 3831, 3963, 4029, 2031, 3063, 3579, 3837, 1983] (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 3039 is 3963

Scale 3963 | Aeoryllian |

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

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

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

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

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

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

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

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

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

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

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

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

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 3037 | Nine Tone Scale | |||

Scale 3035 | Gocrygic | |||

Scale 3031 | Epithygic | |||

Scale 3023 | Mothygic | |||

Scale 3055 | Messiaen Mode 7 | |||

Scale 3071 | Solatic | |||

Scale 2975 | Aeroptygic | |||

Scale 3007 | Zyryllian | |||

Scale 2911 | Katygic | |||

Scale 2783 | Gothygic | |||

Scale 2527 | Phradygic | |||

Scale 3551 | Sagyllian | |||

Scale 4063 | Eptatic | |||

Scale 991 | Aeolygic | |||

Scale 2015 | Messiaen Mode 7 |

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