*i* = imperfections

Tones | 8 (octatonic) |
---|---|

Pitch Class Set | {0,1,2,3,6,7,9,10} |

Forte Number | 8-18 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 5 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 7 |

Prime? | no prime: 879 |

Chirality | yes enantiomorph: 3693 |

Deep Scale | no |

Interval Vector | 546553 |

Interval Spectrum | p^{5}m^{5}n^{6}s^{4}d^{5}t^{3} |

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

Spectra Variation | 2 |

Myhill Property | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1743 can be rotated to make 7 other scales.

Scale 2919 | ||||

Scale 3507 | Maqam Hijaz | |||

Scale 3801 | ||||

Scale 987 | ||||

Scale 2541 | Algerian | |||

Scale 1659 | Maqam Shadd'araban | |||

Scale 2877 |

The prime form of this scale is Scale 879

Scale 879 |

The octatonic modal family [1743, 2919, 3507, 3801, 987, 2541, 1659, 2877] is the negative of the tetratonic modal family [147, 609, 777, 2121, 2352]

The inverse of a scale is a reflection using the root as its axis. The inverse of 1743 is 3693

Scale 3693 |

Only scales that are chiral will have an enantiomorph. Scale 1743 is chiral, and its enantiomorph is scale 3693

Scale 3693 |

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 1741 | Altered Dorian | |||

Scale 1739 | Mela Sadvidhamargini | |||

Scale 1735 | Mela Navanitam | |||

Scale 1751 | ||||

Scale 1759 | ||||

Scale 1775 | ||||

Scale 1679 | ||||

Scale 1711 | Adonai Malakh | |||

Scale 1615 | ||||

Scale 1871 | ||||

Scale 1999 | ||||

Scale 1231 | ||||

Scale 1487 | ||||

Scale 719 | ||||

Scale 2767 | ||||

Scale 3791 |

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