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- Zeitler
- Bygimic

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

Pitch Class Set | {0,4,7,8,9,11} |

Forte Number | 6-14 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 315 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 5 |

Prime? | no prime: 315 |

Deep Scale | no |

Interval Vector | 323430 |

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

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

Spectra Variation | 3.333 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2961 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 441 | Thycrimic | ||||

3rd mode: Scale 567 | Aeoladimic | ||||

4th mode: Scale 2331 | Dylimic | ||||

5th mode: Scale 3213 | Eponimic | ||||

6th mode: Scale 1827 | Katygimic |

The prime form of this scale is Scale 315

Scale 315 | Stodimic |

The hexatonic modal family [2961, 441, 567, 2331, 3213, 1827] (Forte: 6-14) is the complement of the hexatonic modal family [315, 945, 1575, 2205, 2835, 3465] (Forte: 6-14)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2961 is 315

Scale 315 | Stodimic |

Only scales that are chiral will have an enantiomorph. Scale 2961 is chiral, and its enantiomorph is scale 315

Scale 315 | Stodimic |

T_{0} | 2961 | T_{0}I | 315 | |||||

T_{1} | 1827 | T_{1}I | 630 | |||||

T_{2} | 3654 | T_{2}I | 1260 | |||||

T_{3} | 3213 | T_{3}I | 2520 | |||||

T_{4} | 2331 | T_{4}I | 945 | |||||

T_{5} | 567 | T_{5}I | 1890 | |||||

T_{6} | 1134 | T_{6}I | 3780 | |||||

T_{7} | 2268 | T_{7}I | 3465 | |||||

T_{8} | 441 | T_{8}I | 2835 | |||||

T_{9} | 882 | T_{9}I | 1575 | |||||

T_{10} | 1764 | T_{10}I | 3150 | |||||

T_{11} | 3528 | T_{11}I | 2205 |

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 2963 | Bygian | |||

Scale 2965 | Darian | |||

Scale 2969 | Tholian | |||

Scale 2945 | ||||

Scale 2953 | Ionylimic | |||

Scale 2977 | ||||

Scale 2993 | Stythian | |||

Scale 3025 | Epycrian | |||

Scale 2833 | Dolitonic | |||

Scale 2897 | Rycrimic | |||

Scale 2705 | Raga Mamata | |||

Scale 2449 | Zacritonic | |||

Scale 3473 | Lathimic | |||

Scale 3985 | Thadian | |||

Scale 913 | Aeolyritonic | |||

Scale 1937 | Galimic |

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