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Also known as: Mystic, Raga Barbara)

*i* = imperfections

Tones | 6 (hexatonic) |
---|---|

Pitch Class Set | {0,2,4,6,9,10} |

Forte Number | 6-34 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 5 |

Prime? | no prime: 683 |

Chirality | yes enantiomorph: 1357 |

Deep Scale | no |

Interval Vector | 142422 |

Interval Spectrum | p^{2}m^{4}n^{2}s^{4}dt^{2} |

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

Spectra Variation | 1.667 |

Myhill Property | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1621 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 1429 | |||||

3rd mode: Scale 1381 | |||||

4th mode: Scale 1369 | |||||

5th mode: Scale 683 | This is the prime mode | ||||

6th mode: Scale 2389 | Eskimo Hexatonic 2 |

The prime form of this scale is Scale 683

Scale 683 |

The hexatonic modal family [1621, 1429, 1381, 1369, 683, 2389] is the negative of the hexatonic modal family [683, 1369, 1381, 1429, 1621, 2389]

The inverse of a scale is a reflection using the root as its axis. The inverse of 1621 is 1357

Scale 1357 | Takemitsu Tree Line mode 2 |

Only scales that are chiral will have an enantiomorph. Scale 1621 is chiral, and its enantiomorph is scale 1357

Scale 1357 | Takemitsu Tree Line mode 2 |

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 1623 | ||||

Scale 1617 | ||||

Scale 1619 | Prometheus Neapolitan | |||

Scale 1625 | ||||

Scale 1629 | ||||

Scale 1605 | ||||

Scale 1613 | ||||

Scale 1637 | ||||

Scale 1653 | Minor Romani inverse | |||

Scale 1557 | ||||

Scale 1589 | Raga Rageshri | |||

Scale 1685 | ||||

Scale 1749 | Acoustic | |||

Scale 1877 | ||||

Scale 1109 | ||||

Scale 1365 | Whole-tone | |||

Scale 597 | Kung | |||

Scale 2645 | Raga Mruganandana | |||

Scale 3669 |

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