The Exciting Universe Of Music Theory

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- Zeitler
- Bagian

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

Pitch Class Set | {0,1,3,4,8,10,11} |

Forte Number | 7-11 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2839 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 379 |

Deep Scale | no |

Interval Vector | 444441 |

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

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

Spectra Variation | 3.143 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 3355 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3725 | Kyrian | ||||

3rd mode: Scale 1955 | Sonian | ||||

4th mode: Scale 3025 | Epycrian | ||||

5th mode: Scale 445 | Gocrian | ||||

6th mode: Scale 1135 | Katolian | ||||

7th mode: Scale 2615 | Thoptian |

The prime form of this scale is Scale 379

Scale 379 | Aeragian |

The heptatonic modal family [3355, 3725, 1955, 3025, 445, 1135, 2615] (Forte: 7-11) is the complement of the pentatonic modal family [157, 929, 1063, 2579, 3337] (Forte: 5-11)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3355 is 2839

Scale 2839 | Lyptian |

Only scales that are chiral will have an enantiomorph. Scale 3355 is chiral, and its enantiomorph is scale 2839

Scale 2839 | Lyptian |

T_{0} | 3355 | T_{0}I | 2839 | |||||

T_{1} | 2615 | T_{1}I | 1583 | |||||

T_{2} | 1135 | T_{2}I | 3166 | |||||

T_{3} | 2270 | T_{3}I | 2237 | |||||

T_{4} | 445 | T_{4}I | 379 | |||||

T_{5} | 890 | T_{5}I | 758 | |||||

T_{6} | 1780 | T_{6}I | 1516 | |||||

T_{7} | 3560 | T_{7}I | 3032 | |||||

T_{8} | 3025 | T_{8}I | 1969 | |||||

T_{9} | 1955 | T_{9}I | 3938 | |||||

T_{10} | 3910 | T_{10}I | 3781 | |||||

T_{11} | 3725 | T_{11}I | 3467 |

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 3353 | Phraptimic | |||

Scale 3357 | Phrodian | |||

Scale 3359 | Bonyllic | |||

Scale 3347 | Synimic | |||

Scale 3351 | Karian | |||

Scale 3339 | ||||

Scale 3371 | Aeolylian | |||

Scale 3387 | Aeryptyllic | |||

Scale 3419 | Magen Abot 1 | |||

Scale 3483 | Mixotharyllic | |||

Scale 3099 | ||||

Scale 3227 | Aeolocrian | |||

Scale 3611 | ||||

Scale 3867 | Storyllic | |||

Scale 2331 | Dylimic | |||

Scale 2843 | Sorian | |||

Scale 1307 | Katorimic |

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