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Also known as: Locrian Pentatonic 1

*i* = imperfections

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

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

Forte Number | 5-29 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 2 |

Modes | 4 |

Prime? | yes |

Chirality | yes enantiomorph: 2641 |

Deep Scale | no |

Interval Vector | 122131 |

Interval Spectrum | p^{3}mn^{2}s^{2}dt |

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

Spectra Variation | 2.4 |

Myhill Property | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 331 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 2213 | Raga Desh | ||||

3rd mode: Scale 1577 | Raga Chandrakauns (Kafi) | ||||

4th mode: Scale 709 | Raga Shri Kalyan | ||||

5th mode: Scale 1201 | Mixolydian Pentatonic |

This is the prime form of this scale.

The pentatonic modal family [331, 2213, 1577, 709, 1201] is the negative of the heptatonic modal family [727, 1483, 1721, 1837, 2411, 2789, 3253]

The inverse of a scale is a reflection using the root as its axis. The inverse of 331 is 2641

Scale 2641 | Raga Hindol |

Only scales that are chiral will have an enantiomorph. Scale 331 is chiral, and its enantiomorph is scale 2641

Scale 2641 | Raga Hindol |

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 329 | ||||

Scale 333 | ||||

Scale 335 | ||||

Scale 323 | ||||

Scale 327 | ||||

Scale 339 | ||||

Scale 347 | ||||

Scale 363 | ||||

Scale 267 | ||||

Scale 299 | Raga Chitthakarshini | |||

Scale 395 | Balinese | |||

Scale 459 | ||||

Scale 75 | ||||

Scale 203 | ||||

Scale 587 | ||||

Scale 843 | ||||

Scale 1355 | Raga Bhavani | |||

Scale 2379 | Raga Gurjari Todi |

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