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- Zeitler
- Rogimic

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

Pitch Class Set | {0,1,5,8,10,11} |

Forte Number | 6-Z40 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2199 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 5 |

Prime? | no prime: 303 |

Deep Scale | no |

Interval Vector | 333231 |

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

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

Spectra Variation | 3.667 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3363 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 3729 | Starimic | ||||

3rd mode: Scale 489 | Phrathimic | ||||

4th mode: Scale 573 | Saptimic | ||||

5th mode: Scale 1167 | Aerodimic | ||||

6th mode: Scale 2631 | Macrimic |

The prime form of this scale is Scale 303

Scale 303 | Golimic |

The hexatonic modal family [3363, 3729, 489, 573, 1167, 2631] (Forte: 6-Z40) is the complement of the hexatonic modal family [183, 1761, 1803, 2139, 2949, 3117] (Forte: 6-Z11)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3363 is 2199

Scale 2199 | Dyptimic |

Only scales that are chiral will have an enantiomorph. Scale 3363 is chiral, and its enantiomorph is scale 2199

Scale 2199 | Dyptimic |

T_{0} | 3363 | T_{0}I | 2199 | |||||

T_{1} | 2631 | T_{1}I | 303 | |||||

T_{2} | 1167 | T_{2}I | 606 | |||||

T_{3} | 2334 | T_{3}I | 1212 | |||||

T_{4} | 573 | T_{4}I | 2424 | |||||

T_{5} | 1146 | T_{5}I | 753 | |||||

T_{6} | 2292 | T_{6}I | 1506 | |||||

T_{7} | 489 | T_{7}I | 3012 | |||||

T_{8} | 978 | T_{8}I | 1929 | |||||

T_{9} | 1956 | T_{9}I | 3858 | |||||

T_{10} | 3912 | T_{10}I | 3621 | |||||

T_{11} | 3729 | T_{11}I | 3147 |

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 3361 | ||||

Scale 3365 | Katolimic | |||

Scale 3367 | Moptian | |||

Scale 3371 | Aeolylian | |||

Scale 3379 | Verdi's Scala Enigmatica Descending | |||

Scale 3331 | ||||

Scale 3347 | Synimic | |||

Scale 3395 | ||||

Scale 3427 | Zacrian | |||

Scale 3491 | Tharian | |||

Scale 3107 | ||||

Scale 3235 | Pothimic | |||

Scale 3619 | Thanimic | |||

Scale 3875 | Aeryptian | |||

Scale 2339 | Raga Kshanika | |||

Scale 2851 | Katoptimic | |||

Scale 1315 | Pyritonic |

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