The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

- Zeitler
- Phraptimic

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

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

Forte Number | 6-16 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 791 |

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 3353 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 931 | Raga Kalakanthi | ||||

3rd mode: Scale 2513 | Aerycrimic | ||||

4th mode: Scale 413 | Ganimic | ||||

5th mode: Scale 1127 | Eparimic | ||||

6th mode: Scale 2611 | Raga Vasanta |

The prime form of this scale is Scale 371

Scale 371 | Rythimic |

The hexatonic modal family [3353, 931, 2513, 413, 1127, 2611] (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 3353 is 791

Scale 791 | Aeoloptimic |

Only scales that are chiral will have an enantiomorph. Scale 3353 is chiral, and its enantiomorph is scale 791

Scale 791 | Aeoloptimic |

T_{0} | 3353 | T_{0}I | 791 | |||||

T_{1} | 2611 | T_{1}I | 1582 | |||||

T_{2} | 1127 | T_{2}I | 3164 | |||||

T_{3} | 2254 | T_{3}I | 2233 | |||||

T_{4} | 413 | T_{4}I | 371 | |||||

T_{5} | 826 | T_{5}I | 742 | |||||

T_{6} | 1652 | T_{6}I | 1484 | |||||

T_{7} | 3304 | T_{7}I | 2968 | |||||

T_{8} | 2513 | T_{8}I | 1841 | |||||

T_{9} | 931 | T_{9}I | 3682 | |||||

T_{10} | 1862 | T_{10}I | 3269 | |||||

T_{11} | 3724 | T_{11}I | 2443 |

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 3355 | Bagian | |||

Scale 3357 | Phrodian | |||

Scale 3345 | Zylitonic | |||

Scale 3349 | Aeolocrimic | |||

Scale 3337 | ||||

Scale 3369 | Mixolimic | |||

Scale 3385 | Chromatic Phrygian | |||

Scale 3417 | Golian | |||

Scale 3481 | Katathian | |||

Scale 3097 | ||||

Scale 3225 | Ionalimic | |||

Scale 3609 | ||||

Scale 3865 | Starian | |||

Scale 2329 | Styditonic | |||

Scale 2841 | Sothimic | |||

Scale 1305 | Dynitonic |

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