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

*i* = imperfections

Tones | 5 (pentatonic) |
---|---|

Pitch Class Set | {0,2,5,6,9} |

Forte Number | 5-32 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 4 |

Prime? | no prime: 595 |

Chirality | yes enantiomorph: 1225 |

Deep Scale | no |

Interval Vector | 113221 |

Interval Spectrum | p^{2}m^{2}n^{3}sdt |

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

Spectra Variation | 1.6 |

Myhill Property | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 613 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 1177 | |||||

3rd mode: Scale 659 | Raga Rasika Ranjani | ||||

4th mode: Scale 2377 | |||||

5th mode: Scale 809 |

The prime form of this scale is Scale 595

Scale 595 |

The pentatonic modal family [613, 1177, 659, 2377, 809] is the negative of the heptatonic modal family [859, 1459, 1643, 1741, 2477, 2777, 2869]

The inverse of a scale is a reflection using the root as its axis. The inverse of 613 is 1225

Scale 1225 | Raga Samudhra Priya |

Only scales that are chiral will have an enantiomorph. Scale 613 is chiral, and its enantiomorph is scale 1225

Scale 1225 | Raga Samudhra Priya |

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 615 | ||||

Scale 609 | ||||

Scale 611 | ||||

Scale 617 | ||||

Scale 621 | Pyramid Hexatonic | |||

Scale 629 | ||||

Scale 581 | ||||

Scale 597 | Kung | |||

Scale 549 | Raga Bhavani | |||

Scale 677 | Scottish Pentatonic | |||

Scale 741 | ||||

Scale 869 | ||||

Scale 101 | ||||

Scale 357 | ||||

Scale 1125 | ||||

Scale 1637 | ||||

Scale 2661 |

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