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

*i* = imperfections

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

Pitch Class Set | {0,1,2,4,7,9} |

Forte Number | 6-Z47 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 2 |

Modes | 5 |

Prime? | yes |

Chirality | yes enantiomorph: 3369 |

Deep Scale | no |

Interval Vector | 233241 |

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

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

Spectra Variation | 2.333 |

Myhill Property | no |

Balanced | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 663 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 2379 | Raga Gurjari Todi | ||||

3rd mode: Scale 3237 | Raga Brindabani Sarang | ||||

4th mode: Scale 1833 | |||||

5th mode: Scale 741 | |||||

6th mode: Scale 1209 | Raga Bhanumanjari |

This is the prime form of this scale.

The hexatonic modal family [663, 2379, 3237, 1833, 741, 1209] is the negative of the hexatonic modal family [363, 1419, 1581, 1713, 2229, 2757]

The inverse of a scale is a reflection using the root as its axis. The inverse of 663 is 3369

Scale 3369 |

Only scales that are chiral will have an enantiomorph. Scale 663 is chiral, and its enantiomorph is scale 3369

Scale 3369 |

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 661 | Major Pentatonic | |||

Scale 659 | Raga Rasika Ranjani | |||

Scale 667 | ||||

Scale 671 | ||||

Scale 647 | ||||

Scale 655 | ||||

Scale 679 | ||||

Scale 695 | ||||

Scale 727 | ||||

Scale 535 | ||||

Scale 599 | ||||

Scale 791 | ||||

Scale 919 | Chromatic Phrygian Inverse | |||

Scale 151 | ||||

Scale 407 | ||||

Scale 1175 | ||||

Scale 1687 | ||||

Scale 2711 |

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