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

*i* = imperfections

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

Pitch Class Set | {0,1,4,5,8,9,10} |

Forte Number | 7-21 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 823 |

Chirality | yes enantiomorph: 2461 |

Deep Scale | no |

Interval Vector | 424641 |

Interval Spectrum | p^{4}m^{6}n^{4}s^{2}d^{4}t |

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

Spectra Variation | 2 |

Myhill Property | no |

Balanced | no |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1843 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2969 | |||||

3rd mode: Scale 883 | |||||

4th mode: Scale 2489 | Mela Gangeyabhusani | ||||

5th mode: Scale 823 | This is the prime mode | ||||

6th mode: Scale 2459 | |||||

7th mode: Scale 3277 | Mela Nitimati |

The prime form of this scale is Scale 823

Scale 823 |

The heptatonic modal family [1843, 2969, 883, 2489, 823, 2459, 3277] is the negative of the pentatonic modal family [307, 787, 817, 2201, 2441]

The inverse of a scale is a reflection using the root as its axis. The inverse of 1843 is 2461

Scale 2461 |

Only scales that are chiral will have an enantiomorph. Scale 1843 is chiral, and its enantiomorph is scale 2461

Scale 2461 |

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 1841 | ||||

Scale 1845 | ||||

Scale 1847 | ||||

Scale 1851 | ||||

Scale 1827 | ||||

Scale 1835 | ||||

Scale 1811 | ||||

Scale 1875 | ||||

Scale 1907 | ||||

Scale 1971 | ||||

Scale 1587 | Raga Rudra Pancama | |||

Scale 1715 | Harmonic Minor inverse | |||

Scale 1331 | Raga Vasantabhairavi | |||

Scale 819 | Augmented Inverse | |||

Scale 2867 | ||||

Scale 3891 |

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