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Also known as: Mela Cakravaka, Mela Chakravakam, Raga Ahir Bhairav, Bindumalini, Vegavahini, Makam Hicaz, Zanjaran

*i* = imperfections

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

Pitch Class Set | {0,1,4,5,7,9,10} |

Forte Number | 7-32 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 859 |

Chirality | yes enantiomorph: 2477 |

Deep Scale | no |

Interval Vector | 335442 |

Interval Spectrum | p^{4}m^{4}n^{5}s^{3}d^{3}t^{2} |

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

Spectra Variation | 1.429 |

Myhill Property | no |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1715 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2905 | Aeolian flat 1 | ||||

3rd mode: Scale 875 | Locrian Double-flat 7 | ||||

4th mode: Scale 2485 | Harmonic Major | ||||

5th mode: Scale 1645 | Dorian flat 5 | ||||

6th mode: Scale 1435 | Makam Huzzam | ||||

7th mode: Scale 2765 | Lydian Diminished |

The prime form of this scale is Scale 859

Scale 859 | Ultralocrian |

The heptatonic modal family [1715, 2905, 875, 2485, 1645, 1435, 2765] is the negative of the pentatonic modal family [595, 665, 805, 1225, 2345]

The inverse of a scale is a reflection using the root as its axis. The inverse of 1715 is 2477

Scale 2477 | Harmonic Minor |

Only scales that are chiral will have an enantiomorph. Scale 1715 is chiral, and its enantiomorph is scale 2477

Scale 2477 | Harmonic Minor |

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 1713 | Raga Khamas | |||

Scale 1717 | Mixolydian | |||

Scale 1719 | ||||

Scale 1723 | JG Octatonic | |||

Scale 1699 | Raga Rasavali | |||

Scale 1707 | Mela Natakapriya | |||

Scale 1683 | Raga Malayamarutam | |||

Scale 1747 | Mela Ramapriya | |||

Scale 1779 | ||||

Scale 1587 | Raga Rudra Pancama | |||

Scale 1651 | Asian | |||

Scale 1843 | ||||

Scale 1971 | ||||

Scale 1203 | ||||

Scale 1459 | Phrygian Dominant | |||

Scale 691 | Raga Kalavati | |||

Scale 2739 | Mela Suryakanta | |||

Scale 3763 |

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