The Exciting Universe Of Music Theory

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- Zeitler
- Galimic

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

Pitch Class Set | {0,4,7,8,9,10} |

Forte Number | 6-Z39 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 317 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 4 |

Modes | 5 |

Prime? | no prime: 317 |

Deep Scale | no |

Interval Vector | 333321 |

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

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

Spectra Variation | 3.667 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1937 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 377 | Kathimic | ||||

3rd mode: Scale 559 | Lylimic | ||||

4th mode: Scale 2327 | Epalimic | ||||

5th mode: Scale 3211 | Epacrimic | ||||

6th mode: Scale 3653 | Sathimic |

The prime form of this scale is Scale 317

Scale 317 | Korimic |

The hexatonic modal family [1937, 377, 559, 2327, 3211, 3653] (Forte: 6-Z39) is the complement of the hexatonic modal family [187, 1559, 1889, 2141, 2827, 3461] (Forte: 6-Z10)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1937 is 317

Scale 317 | Korimic |

Only scales that are chiral will have an enantiomorph. Scale 1937 is chiral, and its enantiomorph is scale 317

Scale 317 | Korimic |

T_{0} | 1937 | T_{0}I | 317 | |||||

T_{1} | 3874 | T_{1}I | 634 | |||||

T_{2} | 3653 | T_{2}I | 1268 | |||||

T_{3} | 3211 | T_{3}I | 2536 | |||||

T_{4} | 2327 | T_{4}I | 977 | |||||

T_{5} | 559 | T_{5}I | 1954 | |||||

T_{6} | 1118 | T_{6}I | 3908 | |||||

T_{7} | 2236 | T_{7}I | 3721 | |||||

T_{8} | 377 | T_{8}I | 3347 | |||||

T_{9} | 754 | T_{9}I | 2599 | |||||

T_{10} | 1508 | T_{10}I | 1103 | |||||

T_{11} | 3016 | T_{11}I | 2206 |

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 1939 | Dathian | |||

Scale 1941 | Aeranian | |||

Scale 1945 | Zarian | |||

Scale 1921 | ||||

Scale 1929 | Aeolycrimic | |||

Scale 1953 | ||||

Scale 1969 | Stylian | |||

Scale 2001 | Gydian | |||

Scale 1809 | Ranitonic | |||

Scale 1873 | Dathimic | |||

Scale 1681 | Raga Valaji | |||

Scale 1425 | Ryphitonic | |||

Scale 913 | Aeolyritonic | |||

Scale 2961 | Bygimic | |||

Scale 3985 | Thadian |

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