The Exciting Universe Of Music Theory

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- Zeitler
- Mycrimic

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

Pitch Class Set | {0,4,5,6,8,10} |

Forte Number | 6-22 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 469 |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 4 |

Modes | 5 |

Prime? | no prime: 343 |

Deep Scale | no |

Interval Vector | 241422 |

Interval Spectrum | p^{2}m^{4}ns^{4}d^{2}t^{2} |

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

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 1393 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 343 | Ionorimic | This is the prime mode | |||

3rd mode: Scale 2219 | Phrydimic | ||||

4th mode: Scale 3157 | Zyptimic | ||||

5th mode: Scale 1813 | Katothimic | ||||

6th mode: Scale 1477 | Raga Jaganmohanam |

The prime form of this scale is Scale 343

Scale 343 | Ionorimic |

The hexatonic modal family [1393, 343, 2219, 3157, 1813, 1477] (Forte: 6-22) is the complement of the hexatonic modal family [343, 1393, 1477, 1813, 2219, 3157] (Forte: 6-22)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1393 is 469

Scale 469 | Katyrimic |

Only scales that are chiral will have an enantiomorph. Scale 1393 is chiral, and its enantiomorph is scale 469

Scale 469 | Katyrimic |

T_{0} | 1393 | T_{0}I | 469 | |||||

T_{1} | 2786 | T_{1}I | 938 | |||||

T_{2} | 1477 | T_{2}I | 1876 | |||||

T_{3} | 2954 | T_{3}I | 3752 | |||||

T_{4} | 1813 | T_{4}I | 3409 | |||||

T_{5} | 3626 | T_{5}I | 2723 | |||||

T_{6} | 3157 | T_{6}I | 1351 | |||||

T_{7} | 2219 | T_{7}I | 2702 | |||||

T_{8} | 343 | T_{8}I | 1309 | |||||

T_{9} | 686 | T_{9}I | 2618 | |||||

T_{10} | 1372 | T_{10}I | 1141 | |||||

T_{11} | 2744 | T_{11}I | 2282 |

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 1395 | Asian (a) | |||

Scale 1397 | Major Locrian | |||

Scale 1401 | Pagian | |||

Scale 1377 | ||||

Scale 1385 | Phracrimic | |||

Scale 1361 | Bolitonic | |||

Scale 1329 | Epygitonic | |||

Scale 1457 | Raga Kamalamanohari | |||

Scale 1521 | Stanian | |||

Scale 1137 | Stonitonic | |||

Scale 1265 | Pynimic | |||

Scale 1649 | Bolimic | |||

Scale 1905 | Katacrian | |||

Scale 369 | Laditonic | |||

Scale 881 | Aerothimic | |||

Scale 2417 | Kanimic | |||

Scale 3441 | Thacrian |

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