The Exciting Universe Of Music Theory

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- Zeitler
- Thogimic

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

Pitch Class Set | {0,4,5,8,9,10} |

Forte Number | 6-16 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 413 |

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 1841 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 371 | Rythimic | This is the prime mode | |||

3rd mode: Scale 2233 | Donimic | ||||

4th mode: Scale 791 | Aeoloptimic | ||||

5th mode: Scale 2443 | Panimic | ||||

6th mode: Scale 3269 | Raga Malarani |

The prime form of this scale is Scale 371

Scale 371 | Rythimic |

The hexatonic modal family [1841, 371, 2233, 791, 2443, 3269] (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 1841 is 413

Scale 413 | Ganimic |

Only scales that are chiral will have an enantiomorph. Scale 1841 is chiral, and its enantiomorph is scale 413

Scale 413 | Ganimic |

T_{0} | 1841 | T_{0}I | 413 | |||||

T_{1} | 3682 | T_{1}I | 826 | |||||

T_{2} | 3269 | T_{2}I | 1652 | |||||

T_{3} | 2443 | T_{3}I | 3304 | |||||

T_{4} | 791 | T_{4}I | 2513 | |||||

T_{5} | 1582 | T_{5}I | 931 | |||||

T_{6} | 3164 | T_{6}I | 1862 | |||||

T_{7} | 2233 | T_{7}I | 3724 | |||||

T_{8} | 371 | T_{8}I | 3353 | |||||

T_{9} | 742 | T_{9}I | 2611 | |||||

T_{10} | 1484 | T_{10}I | 1127 | |||||

T_{11} | 2968 | T_{11}I | 2254 |

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 1843 | Ionygian | |||

Scale 1845 | Lagian | |||

Scale 1849 | Chromatic Hypodorian Inverse | |||

Scale 1825 | ||||

Scale 1833 | Ionacrimic | |||

Scale 1809 | Ranitonic | |||

Scale 1873 | Dathimic | |||

Scale 1905 | Katacrian | |||

Scale 1969 | Stylian | |||

Scale 1585 | Raga Khamaji Durga | |||

Scale 1713 | Raga Khamas | |||

Scale 1329 | Epygitonic | |||

Scale 817 | Zothitonic | |||

Scale 2865 | Solimic | |||

Scale 3889 | Parian |

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