presents more than you ever wanted to know about...

*i* = imperfections

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

Pitch Class Set | {0,3,5,6,7,9} |

Forte Number | 6-Z45 |

Rotational Symmetry | none |

Palindromic | yes |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 4 |

Modes | 5 |

Prime? | no prime: 605 |

Chirality | no |

Deep Scale | no |

Interval Vector | 234222 |

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

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

Spectra Variation | 2.667 |

Myhill Property | no |

Balanced | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 745 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 605 | This is the prime mode | ||||

3rd mode: Scale 1175 | |||||

4th mode: Scale 2635 | |||||

5th mode: Scale 3365 | |||||

6th mode: Scale 1865 |

The prime form of this scale is Scale 605

Scale 605 |

The hexatonic modal family [745, 605, 1175, 2635, 3365, 1865] is the negative of the hexatonic modal family [365, 1115, 1675, 1745, 2605, 2885]

The inverse of a scale is a reflection using the root as its axis. The inverse of 745 is itself, because it is a palindromic scale!

Scale 745 |

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 747 | ||||

Scale 749 | ||||

Scale 737 | ||||

Scale 741 | ||||

Scale 753 | ||||

Scale 761 | ||||

Scale 713 | ||||

Scale 729 | ||||

Scale 681 | Kyemyonjo | |||

Scale 617 | ||||

Scale 873 | ||||

Scale 1001 | ||||

Scale 233 | ||||

Scale 489 | ||||

Scale 1257 | Blues scale | |||

Scale 1769 | Blues Heptatonic II | |||

Scale 2793 |

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