Also known as: Foulds' Mantra of Will scale

*i* = imperfections

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

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

Forte Number | 7-Z18 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 755 |

Chirality | yes enantiomorph: 2425 |

Deep Scale | no |

Interval Vector | 434442 |

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

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

Spectra Variation | 2.571 |

Myhill Property | no |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 979 can be rotated to make 6 other scales.

The prime form of this scale is Scale 755

Scale 755 |

The heptatonic modal family [979, 2537, 829, 1231, 2663, 3379, 3737] is the negative of the pentatonic modal family [179, 779, 1633, 2137, 2437, 3116]

The inverse of a scale is a reflection using the root as its axis. The inverse of 979 is 2425

Scale 2425 |

Only scales that are chiral will have an enantiomorph. Scale 979 is chiral, and its enantiomorph is scale 2425

Scale 2425 |

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 977 | ||||

Scale 981 | Mela Kantamani | |||

Scale 983 | ||||

Scale 987 | ||||

Scale 963 | ||||

Scale 971 | Mela Gavambodhi | |||

Scale 995 | ||||

Scale 1011 | ||||

Scale 915 | Raga Kalagada | |||

Scale 947 | Mela Gayakapriya | |||

Scale 851 | Raga Hejjajji | |||

Scale 723 | ||||

Scale 467 | Raga Dhavalangam | |||

Scale 1491 | Mela Namanarayani | |||

Scale 2003 | ||||

Scale 3027 |

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