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- Zeitler
- Thydatic

Cardinality | 11 (undecatonic) |
---|---|

Pitch Class Set | {0,1,3,4,5,6,7,8,9,10,11} |

Forte Number | 11-1 |

Rotational Symmetry | none |

Reflection Axes | 2 |

Palindromic | no |

Chirality | no |

Hemitonia | 10 (multihemitonic) |

Cohemitonia | 9 (multicohemitonic) |

Imperfections | 1 |

Modes | 10 |

Prime? | no prime: 2047 |

Deep Scale | no |

Interval Vector | 10101010105 |

Interval Spectrum | p^{10}m^{10}n^{10}s^{10}d^{10}t^{5} |

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

Spectra Variation | 0.909 |

Maximally Even | yes |

Myhill Property | yes |

Balanced | no |

Ridge Tones | [4] |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 4091 can be rotated to make 10 other scales. The 1st mode is itself.

2nd mode: Scale 4093 | Aerycratic | ||||

3rd mode: Scale 2047 | Monatic | This is the prime mode | |||

4th mode: Scale 3071 | Solatic | ||||

5th mode: Scale 3583 | Zylatic | ||||

6th mode: Scale 3839 | Mixolatic | ||||

7th mode: Scale 3967 | Soratic | ||||

8th mode: Scale 4031 | Godatic | ||||

9th mode: Scale 4063 | Eptatic | ||||

10th mode: Scale 4079 | Ionatic | ||||

11th mode: Scale 4087 | Aeolatic |

The prime form of this scale is Scale 2047

Scale 2047 | Monatic |

The undecatonic modal family [4091, 4093, 2047, 3071, 3583, 3839, 3967, 4031, 4063, 4079, 4087] (Forte: 11-1) is the complement of the modal family [1] (Forte: 1-1)

The inverse of a scale is a reflection using the root as its axis. The inverse of 4091 is 3071

Scale 3071 | Solatic |

T_{0} | 4091 | T_{0}I | 3071 | |||||

T_{1} | 4087 | T_{1}I | 2047 | |||||

T_{2} | 4079 | T_{2}I | 4094 | |||||

T_{3} | 4063 | T_{3}I | 4093 | |||||

T_{4} | 4031 | T_{4}I | 4091 | |||||

T_{5} | 3967 | T_{5}I | 4087 | |||||

T_{6} | 3839 | T_{6}I | 4079 | |||||

T_{7} | 3583 | T_{7}I | 4063 | |||||

T_{8} | 3071 | T_{8}I | 4031 | |||||

T_{9} | 2047 | T_{9}I | 3967 | |||||

T_{10} | 4094 | T_{10}I | 3839 | |||||

T_{11} | 4093 | T_{11}I | 3583 |

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 4089 | Katoryllian | |||

Scale 4093 | Aerycratic | |||

Scale 4095 | Chromatic | |||

Scale 4083 | Bathyllian | |||

Scale 4087 | Aeolatic | |||

Scale 4075 | Katyllian | |||

Scale 4059 | Zolyllian | |||

Scale 4027 | Ragyllian | |||

Scale 3963 | Aeoryllian | |||

Scale 3835 | ||||

Scale 3579 | Zyphyllian | |||

Scale 3067 | Goptyllian | |||

Scale 2043 | Maqam Tarzanuyn |

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