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

*i* = imperfections

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

Pitch Class Set | {0,1,2,4,6,8,9} |

Forte Number | 7-30 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | yes |

Chirality | yes enantiomorph: 3417 |

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 855 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2475 | Neapolitan Minor | ||||

3rd mode: Scale 3285 | Mela Citrambari | ||||

4th mode: Scale 1845 | |||||

5th mode: Scale 1485 | Minor Romani | ||||

6th mode: Scale 1395 | Asian (a) | ||||

7th mode: Scale 2745 | Mela Sulini |

This is the prime form of this scale.

The heptatonic modal family [855, 2475, 3285, 1845, 1485, 1395, 2745] 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 855 is 3417

Scale 3417 |

Only scales that are chiral will have an enantiomorph. Scale 855 is chiral, and its enantiomorph is scale 3417

Scale 3417 |

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 853 | ||||

Scale 851 | Raga Hejjajji | |||

Scale 859 | Ultralocrian | |||

Scale 863 | ||||

Scale 839 | ||||

Scale 847 | ||||

Scale 871 | Locrian Double-flat 3 Double-flat 7 | |||

Scale 887 | ||||

Scale 791 | ||||

Scale 823 | ||||

Scale 919 | Chromatic Phrygian Inverse | |||

Scale 983 | ||||

Scale 599 | ||||

Scale 727 | ||||

Scale 343 | ||||

Scale 1367 | Leading Whole-Tone inverse | |||

Scale 1879 | ||||

Scale 2903 |

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