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

*i* = imperfections

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

Pitch Class Set | {0,3,5,6,9,11} |

Forte Number | 6-30 |

Rotational Symmetry | 6 semitones |

Palindromic | no |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 2 |

Prime? | no prime: 715 |

Chirality | yes enantiomorph: 715 |

Deep Scale | no |

Interval Vector | 224223 |

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

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

Spectra Variation | 1.333 |

Myhill Property | no |

Balanced | yes |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2665 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode: Scale 845 | Raga Neelangi | ||||

3rd mode: Scale 1235 | Messiaen truncated mode 2 |

The prime form of this scale is Scale 715

Scale 715 | Messiaen truncated mode 2 |

The hexatonic modal family [2665, 845, 1235] is the negative of the hexatonic modal family [715, 1625, 2405]

The inverse of a scale is a reflection using the root as its axis. The inverse of 2665 is 715

Scale 715 | Messiaen truncated mode 2 |

Only scales that are chiral will have an enantiomorph. Scale 2665 is chiral, and its enantiomorph is scale 715

Scale 715 | Messiaen truncated mode 2 |

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 2667 | ||||

Scale 2669 | Jeths' mode | |||

Scale 2657 | ||||

Scale 2661 | ||||

Scale 2673 | ||||

Scale 2681 | ||||

Scale 2633 | ||||

Scale 2649 | ||||

Scale 2601 | Raga Chandrakauns | |||

Scale 2729 | ||||

Scale 2793 | ||||

Scale 2921 | ||||

Scale 2153 | ||||

Scale 2409 | ||||

Scale 3177 | ||||

Scale 3689 | ||||

Scale 617 | ||||

Scale 1641 |

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