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

*i* = imperfections

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

Pitch Class Set | {0,2,4,7,8,11} |

Forte Number | 6-31 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 5 |

Prime? | no prime: 691 |

Chirality | yes enantiomorph: 1331 |

Deep Scale | no |

Interval Vector | 223431 |

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

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

Spectra Variation | 1.667 |

Myhill Property | no |

Balanced | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2453 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 1637 | |||||

3rd mode: Scale 1433 | |||||

4th mode: Scale 691 | Raga Kalavati | This is the prime mode | |||

5th mode: Scale 2393 | |||||

6th mode: Scale 811 |

The prime form of this scale is Scale 691

Scale 691 | Raga Kalavati |

The hexatonic modal family [2453, 1637, 1433, 691, 2393, 811] is the negative of the hexatonic modal family [691, 811, 1433, 1637, 2393, 2453]

The inverse of a scale is a reflection using the root as its axis. The inverse of 2453 is 1331

Scale 1331 | Raga Vasantabhairavi |

Only scales that are chiral will have an enantiomorph. Scale 2453 is chiral, and its enantiomorph is scale 1331

Scale 1331 | Raga Vasantabhairavi |

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 2455 | ||||

Scale 2449 | ||||

Scale 2451 | Raga Bauli | |||

Scale 2457 | Major Augmented | |||

Scale 2461 | ||||

Scale 2437 | ||||

Scale 2445 | ||||

Scale 2469 | Raga Bhinna Pancama | |||

Scale 2485 | Harmonic Major | |||

Scale 2517 | Harmonic Lydian | |||

Scale 2325 | ||||

Scale 2389 | Eskimo Hexatonic 2 | |||

Scale 2197 | Raga Hamsadhvani | |||

Scale 2709 | Raga Kumud | |||

Scale 2965 | ||||

Scale 3477 | ||||

Scale 405 | Raga Bhupeshwari | |||

Scale 1429 |

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