*i* = imperfections

Tones | 8 (octatonic) |
---|---|

Pitch Class Set | {0,1,3,4,6,7,8,9} |

Forte Number | 8-18 |

Rotational Symmetry | none |

Palindromic | no |

Interval Spectrum | p^{5}m^{5}n^{6}s^{4}d^{5}t^{3} |

Hemitonia | 5 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 7 |

Prime? | no prime: 879 |

Chirality | yes enantiomorph: 2937 |

Deep Scale | no |

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

Spectra Variation | 2 |

Myhill Property | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 987 can be rotated to make 7 other scales.

Scale 2541 | Algerian | |||

Scale 1659 | Maqam Shadd'araban | |||

Scale 2877 | ||||

Scale 1743 | ||||

Scale 2919 | ||||

Scale 3507 | Maqam Hijaz | |||

Scale 3801 |

The prime form of this scale is Scale 879

Scale 879 |

The octatonic modal family [987, 2541, 1659, 2877, 1743, 2919, 3507, 3801] is the negative of the tetratonic modal family [147, 609, 777, 2121, 3108]

The inverse of a scale is a reflection using the root as its axis. The inverse of 987 is 2937

Scale 2937 |

Only scales that are chiral will have an enantiomorph. Scale 987 is chiral, and its enantiomorph is scale 2937

Scale 2937 |

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 985 | Mela Sucaritra | |||

Scale 989 | ||||

Scale 991 | ||||

Scale 979 | Mela Dhavalambari | |||

Scale 983 | ||||

Scale 971 | Mela Gavambodhi | |||

Scale 1003 | ||||

Scale 1019 | ||||

Scale 923 | Ultraphrygian | |||

Scale 955 | ||||

Scale 859 | Ultralocrian | |||

Scale 731 | ||||

Scale 475 | ||||

Scale 1499 | Bebop Locrian | |||

Scale 2011 | ||||

Scale 3035 |

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