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

*i* = imperfections

Tones | 4 (tetratonic) |
---|---|

Pitch Class Set | {0,2,7,9} |

Forte Number | 4-23 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 0 (anhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 1 |

Modes | 3 |

Prime? | no prime: 165 |

Chirality | no |

Deep Scale | no |

Interval Vector | 021030 |

Interval Spectrum | p^{3}ns^{2} |

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

Spectra Variation | 2 |

Myhill Property | no |

Balanced | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 645 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode: Scale 1185 | Genus Primum Inverse | ||||

3rd mode: Scale 165 | Genus Primum | This is the prime mode | |||

4th mode: Scale 1065 |

The prime form of this scale is Scale 165

Scale 165 | Genus Primum |

The tetratonic modal family [645, 1185, 165, 1065] is the negative of the octatonic modal family [1455, 1515, 1725, 1965, 2775, 2805, 3435, 3765]

The inverse of a scale is a reflection using the root as its axis. The inverse of 645 is 1065

Scale 1065 |

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 647 | ||||

Scale 641 | ||||

Scale 643 | ||||

Scale 649 | ||||

Scale 653 | Dorian Pentatonic | |||

Scale 661 | Major Pentatonic | |||

Scale 677 | Scottish Pentatonic | |||

Scale 709 | Raga Shri Kalyan | |||

Scale 517 | ||||

Scale 581 | ||||

Scale 773 | ||||

Scale 901 | ||||

Scale 133 | ||||

Scale 389 | ||||

Scale 1157 | ||||

Scale 1669 | Raga Matha Kokila | |||

Scale 2693 |

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