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- Zeitler
- Stagimic

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

Pitch Class Set | {0,1,2,4,5,8} |

Forte Number | 6-15 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3473 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 4 |

Modes | 5 |

Prime? | yes |

Deep Scale | no |

Interval Vector | 323421 |

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

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

Spectra Variation | 3.333 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 311 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 2203 | Dorimic | ||||

3rd mode: Scale 3149 | Phrycrimic | ||||

4th mode: Scale 1811 | Kyptimic | ||||

5th mode: Scale 2953 | Ionylimic | ||||

6th mode: Scale 881 | Aerothimic |

This is the prime form of this scale.

The hexatonic modal family [311, 2203, 3149, 1811, 2953, 881] (Forte: 6-15) is the complement of the hexatonic modal family [311, 881, 1811, 2203, 2953, 3149] (Forte: 6-15)

The inverse of a scale is a reflection using the root as its axis. The inverse of 311 is 3473

Scale 3473 | Lathimic |

Only scales that are chiral will have an enantiomorph. Scale 311 is chiral, and its enantiomorph is scale 3473

Scale 3473 | Lathimic |

T_{0} | 311 | T_{0}I | 3473 | |||||

T_{1} | 622 | T_{1}I | 2851 | |||||

T_{2} | 1244 | T_{2}I | 1607 | |||||

T_{3} | 2488 | T_{3}I | 3214 | |||||

T_{4} | 881 | T_{4}I | 2333 | |||||

T_{5} | 1762 | T_{5}I | 571 | |||||

T_{6} | 3524 | T_{6}I | 1142 | |||||

T_{7} | 2953 | T_{7}I | 2284 | |||||

T_{8} | 1811 | T_{8}I | 473 | |||||

T_{9} | 3622 | T_{9}I | 946 | |||||

T_{10} | 3149 | T_{10}I | 1892 | |||||

T_{11} | 2203 | T_{11}I | 3784 |

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 309 | Palitonic | |||

Scale 307 | Raga Megharanjani | |||

Scale 315 | Stodimic | |||

Scale 319 | Epodian | |||

Scale 295 | Gyritonic | |||

Scale 303 | Golimic | |||

Scale 279 | Poditonic | |||

Scale 343 | Ionorimic | |||

Scale 375 | Sodian | |||

Scale 439 | Bythian | |||

Scale 55 | ||||

Scale 183 | ||||

Scale 567 | Aeoladimic | |||

Scale 823 | Stodian | |||

Scale 1335 | Aeralian | |||

Scale 2359 | Gadian |

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