The Exciting Universe Of Music Theory

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- Zeitler
- Bathian

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

Pitch Class Set | {0,1,3,4,5,7,11} |

Forte Number | 7-13 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2979 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 4 |

Modes | 6 |

Prime? | no prime: 375 |

Deep Scale | no |

Interval Vector | 443532 |

Interval Spectrum | p^{3}m^{5}n^{3}s^{4}d^{4}t^{2} |

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

Spectra Variation | 2.857 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2235 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3165 | Mylian | ||||

3rd mode: Scale 1815 | Godian | ||||

4th mode: Scale 2955 | Thorian | ||||

5th mode: Scale 3525 | Zocrian | ||||

6th mode: Scale 1905 | Katacrian | ||||

7th mode: Scale 375 | Sodian | This is the prime mode |

The prime form of this scale is Scale 375

Scale 375 | Sodian |

The heptatonic modal family [2235, 3165, 1815, 2955, 3525, 1905, 375] (Forte: 7-13) is the complement of the pentatonic modal family [279, 369, 1809, 2187, 3141] (Forte: 5-13)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2235 is 2979

Scale 2979 | Gyptian |

Only scales that are chiral will have an enantiomorph. Scale 2235 is chiral, and its enantiomorph is scale 2979

Scale 2979 | Gyptian |

T_{0} | 2235 | T_{0}I | 2979 | |||||

T_{1} | 375 | T_{1}I | 1863 | |||||

T_{2} | 750 | T_{2}I | 3726 | |||||

T_{3} | 1500 | T_{3}I | 3357 | |||||

T_{4} | 3000 | T_{4}I | 2619 | |||||

T_{5} | 1905 | T_{5}I | 1143 | |||||

T_{6} | 3810 | T_{6}I | 2286 | |||||

T_{7} | 3525 | T_{7}I | 477 | |||||

T_{8} | 2955 | T_{8}I | 954 | |||||

T_{9} | 1815 | T_{9}I | 1908 | |||||

T_{10} | 3630 | T_{10}I | 3816 | |||||

T_{11} | 3165 | T_{11}I | 3537 |

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 2233 | Donimic | |||

Scale 2237 | Epothian | |||

Scale 2239 | Dacryllic | |||

Scale 2227 | Raga Gaula | |||

Scale 2231 | Macrian | |||

Scale 2219 | Phrydimic | |||

Scale 2203 | Dorimic | |||

Scale 2267 | Padian | |||

Scale 2299 | Phraptyllic | |||

Scale 2107 | ||||

Scale 2171 | ||||

Scale 2363 | Kataptian | |||

Scale 2491 | Layllic | |||

Scale 2747 | Stythyllic | |||

Scale 3259 | ||||

Scale 187 | ||||

Scale 1211 | Zadian |

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