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Also known as: Peruvian tritonic 2

*i* = imperfections

Tones | 3 (tritonic) |
---|---|

Pitch Class Set | {0,3,7} |

Forte Number | 3-11 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 0 (anhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 2 |

Modes | 2 |

Prime? | yes |

Chirality | yes enantiomorph: 545 |

Deep Scale | no |

Interval Vector | 001110 |

Interval Spectrum | pmn |

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

Spectra Variation | 1.333 |

Myhill Property | no |

Balanced | no |

Coherence | yes |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 137 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode: Scale 529 | Raga Bilwadala | ||||

3rd mode: Scale 289 |

This is the prime form of this scale.

The tritonic modal family [137, 529, 289] is the negative of the nonatonic modal family [1775, 1915, 1975, 2935, 3005, 3035, 3515, 3565, 3805]

The inverse of a scale is a reflection using the root as its axis. The inverse of 137 is 545

Scale 545 |

Only scales that are chiral will have an enantiomorph. Scale 137 is chiral, and its enantiomorph is scale 545

Scale 545 |

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 139 | ||||

Scale 141 | ||||

Scale 129 | Niagari | |||

Scale 133 | ||||

Scale 145 | Raga Malasri | |||

Scale 153 | ||||

Scale 169 | Vietnamese tetratonic | |||

Scale 201 | ||||

Scale 9 | ||||

Scale 73 | ||||

Scale 265 | ||||

Scale 393 | ||||

Scale 649 | ||||

Scale 1161 | Bi Yu | |||

Scale 2185 |

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