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- Zeitler
- Aeoloptimic

Cardinality | 6 (hexatonic) |
---|---|

Pitch Class Set | {0,1,2,4,8,9} |

Forte Number | 6-16 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3353 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 5 |

Prime? | no prime: 371 |

Deep Scale | no |

Interval Vector | 322431 |

Interval Spectrum | p^{3}m^{4}n^{2}s^{2}d^{3}t |

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

Spectra Variation | 3 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 791 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 2443 | Panimic | ||||

3rd mode: Scale 3269 | Raga Malarani | ||||

4th mode: Scale 1841 | Thogimic | ||||

5th mode: Scale 371 | Rythimic | This is the prime mode | |||

6th mode: Scale 2233 | Donimic |

The prime form of this scale is Scale 371

Scale 371 | Rythimic |

The hexatonic modal family [791, 2443, 3269, 1841, 371, 2233] (Forte: 6-16) is the complement of the hexatonic modal family [371, 791, 1841, 2233, 2443, 3269] (Forte: 6-16)

The inverse of a scale is a reflection using the root as its axis. The inverse of 791 is 3353

Scale 3353 | Phraptimic |

Only scales that are chiral will have an enantiomorph. Scale 791 is chiral, and its enantiomorph is scale 3353

Scale 3353 | Phraptimic |

T_{0} | 791 | T_{0}I | 3353 | |||||

T_{1} | 1582 | T_{1}I | 2611 | |||||

T_{2} | 3164 | T_{2}I | 1127 | |||||

T_{3} | 2233 | T_{3}I | 2254 | |||||

T_{4} | 371 | T_{4}I | 413 | |||||

T_{5} | 742 | T_{5}I | 826 | |||||

T_{6} | 1484 | T_{6}I | 1652 | |||||

T_{7} | 2968 | T_{7}I | 3304 | |||||

T_{8} | 1841 | T_{8}I | 2513 | |||||

T_{9} | 3682 | T_{9}I | 931 | |||||

T_{10} | 3269 | T_{10}I | 1862 | |||||

T_{11} | 2443 | T_{11}I | 3724 |

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 789 | Zogitonic | |||

Scale 787 | Aeolapritonic | |||

Scale 795 | Aeologimic | |||

Scale 799 | Lolian | |||

Scale 775 | Raga Putrika | |||

Scale 783 | ||||

Scale 807 | Raga Suddha Mukhari | |||

Scale 823 | Stodian | |||

Scale 855 | Porian | |||

Scale 919 | Chromatic Phrygian Inverse | |||

Scale 535 | ||||

Scale 663 | Phrynimic | |||

Scale 279 | Poditonic | |||

Scale 1303 | Epolimic | |||

Scale 1815 | Godian | |||

Scale 2839 | Lyptian |

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