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

*i* = imperfections

Tones | 4 (tetratonic) |
---|---|

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

Forte Number | 4-27 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 0 (anhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 3 |

Prime? | no prime: 293 |

Chirality | yes enantiomorph: 593 |

Deep Scale | no |

Interval Vector | 012111 |

Interval Spectrum | pmn^{2}st |

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

Spectra Variation | 1.5 |

Myhill Property | no |

Coherence | yes |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 329 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode: Scale 553 | |||||

3rd mode: Scale 581 | |||||

4th mode: Scale 1169 | Raga Mahathi |

The prime form of this scale is Scale 293

Scale 293 | Raga Haripriya |

The tetratonic modal family [329, 553, 581, 1169] is the negative of the octatonic modal family [1463, 1757, 1771, 1883, 2779, 2933, 2989, 3437]

The inverse of a scale is a reflection using the root as its axis. The inverse of 329 is 593

Scale 593 |

Only scales that are chiral will have an enantiomorph. Scale 329 is chiral, and its enantiomorph is scale 593

Scale 593 |

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 331 | Raga Chhaya Todi | |||

Scale 333 | ||||

Scale 321 | ||||

Scale 325 | Messiaen truncated mode 6 | |||

Scale 337 | ||||

Scale 345 | ||||

Scale 361 | ||||

Scale 265 | ||||

Scale 297 | ||||

Scale 393 | ||||

Scale 457 | ||||

Scale 73 | ||||

Scale 201 | ||||

Scale 585 | Diminished Seventh | |||

Scale 841 | ||||

Scale 1353 | Raga Harikauns | |||

Scale 2377 |

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