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- Zeitler
- Gyphian

Cardinality | 7 (heptatonic) |
---|---|

Pitch Class Set | {0,2,6,7,9,10,11} |

Forte Number | 7-11 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1135 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 379 |

Deep Scale | no |

Interval Vector | 444441 |

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

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

Spectra Variation | 3.143 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 3781 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 1969 | Stylian | ||||

3rd mode: Scale 379 | Aeragian | This is the prime mode | |||

4th mode: Scale 2237 | Epothian | ||||

5th mode: Scale 1583 | Salian | ||||

6th mode: Scale 2839 | Lyptian | ||||

7th mode: Scale 3467 | Katonian |

The prime form of this scale is Scale 379

Scale 379 | Aeragian |

The heptatonic modal family [3781, 1969, 379, 2237, 1583, 2839, 3467] (Forte: 7-11) is the complement of the pentatonic modal family [157, 929, 1063, 2579, 3337] (Forte: 5-11)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3781 is 1135

Scale 1135 | Katolian |

Only scales that are chiral will have an enantiomorph. Scale 3781 is chiral, and its enantiomorph is scale 1135

Scale 1135 | Katolian |

T_{0} | 3781 | T_{0}I | 1135 | |||||

T_{1} | 3467 | T_{1}I | 2270 | |||||

T_{2} | 2839 | T_{2}I | 445 | |||||

T_{3} | 1583 | T_{3}I | 890 | |||||

T_{4} | 3166 | T_{4}I | 1780 | |||||

T_{5} | 2237 | T_{5}I | 3560 | |||||

T_{6} | 379 | T_{6}I | 3025 | |||||

T_{7} | 758 | T_{7}I | 1955 | |||||

T_{8} | 1516 | T_{8}I | 3910 | |||||

T_{9} | 3032 | T_{9}I | 3725 | |||||

T_{10} | 1969 | T_{10}I | 3355 | |||||

T_{11} | 3938 | T_{11}I | 2615 |

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 3783 | Phrygyllic | |||

Scale 3777 | ||||

Scale 3779 | ||||

Scale 3785 | Epagian | |||

Scale 3789 | Eporyllic | |||

Scale 3797 | Rocryllic | |||

Scale 3813 | Aeologyllic | |||

Scale 3717 | ||||

Scale 3749 | Raga Sorati | |||

Scale 3653 | Sathimic | |||

Scale 3909 | Rydian | |||

Scale 4037 | Ionyllic | |||

Scale 3269 | Raga Malarani | |||

Scale 3525 | Zocrian | |||

Scale 2757 | Raga Nishadi | |||

Scale 1733 | Raga Sarasvati |

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