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

*i* = imperfections

Tones | 7 (heptatonic) |
---|---|

Pitch Class Set | {0,1,3,4,6,7,9} |

Forte Number | 7-31 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 6 |

Prime? | yes |

Chirality | yes enantiomorph: 2921 |

Deep Scale | no |

Interval Vector | 336333 |

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

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

Spectra Variation | 1.714 |

Myhill Property | no |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 731 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2413 | Locrian nr.2 | ||||

3rd mode: Scale 1627 | |||||

4th mode: Scale 2861 | |||||

5th mode: Scale 1739 | Mela Sadvidhamargini | ||||

6th mode: Scale 2917 | Nohkan Flute scale | ||||

7th mode: Scale 1753 | Hungarian Major |

This is the prime form of this scale.

The heptatonic modal family [731, 2413, 1627, 2861, 1739, 2917, 1753] is the negative of the pentatonic modal family [587, 601, 713, 1609, 2341]

The inverse of a scale is a reflection using the root as its axis. The inverse of 731 is 2921

Scale 2921 |

Only scales that are chiral will have an enantiomorph. Scale 731 is chiral, and its enantiomorph is scale 2921

Scale 2921 |

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 729 | ||||

Scale 733 | ||||

Scale 735 | ||||

Scale 723 | ||||

Scale 727 | ||||

Scale 715 | Messiaen truncated mode 2 | |||

Scale 747 | ||||

Scale 763 | ||||

Scale 667 | ||||

Scale 699 | ||||

Scale 603 | ||||

Scale 859 | Ultralocrian | |||

Scale 987 | ||||

Scale 219 | Istrian | |||

Scale 475 | ||||

Scale 1243 | ||||

Scale 1755 | Octatonic | |||

Scale 2779 | Shostakovich |

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