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

*i* = imperfections

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

Pitch Class Set | {0,2,4,5,6,9,10} |

Forte Number | 7-30 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 855 |

Chirality | yes enantiomorph: 1485 |

Deep Scale | no |

Interval Vector | 343542 |

Interval Spectrum | p^{4}m^{5}n^{3}s^{4}d^{3}t^{2} |

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

Spectra Variation | 1.714 |

Myhill Property | no |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1653 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 1437 | Sabach ascending | ||||

3rd mode: Scale 1383 | |||||

4th mode: Scale 2739 | Mela Suryakanta | ||||

5th mode: Scale 3417 | |||||

6th mode: Scale 939 | Mela Senavati | ||||

7th mode: Scale 2517 | Harmonic Lydian |

The prime form of this scale is Scale 855

Scale 855 |

The heptatonic modal family [1653, 1437, 1383, 2739, 3417, 939, 2517] is the negative of the pentatonic modal family [339, 789, 1221, 1329, 2217]

The inverse of a scale is a reflection using the root as its axis. The inverse of 1653 is 1485

Scale 1485 | Minor Romani |

Only scales that are chiral will have an enantiomorph. Scale 1653 is chiral, and its enantiomorph is scale 1485

Scale 1485 | Minor Romani |

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 1655 | ||||

Scale 1649 | ||||

Scale 1651 | Asian | |||

Scale 1657 | ||||

Scale 1661 | ||||

Scale 1637 | ||||

Scale 1645 | Dorian flat 5 | |||

Scale 1621 | Prometheus (Scriabin) | |||

Scale 1589 | Raga Rageshri | |||

Scale 1717 | Mixolydian | |||

Scale 1781 | ||||

Scale 1909 | ||||

Scale 1141 | ||||

Scale 1397 | Major Locrian | |||

Scale 629 | ||||

Scale 2677 | ||||

Scale 3701 |

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