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

*i* = imperfections

Tones | 6 (hexatonic) |
---|---|

Pitch Class Set | {0,2,3,6,8,10} |

Forte Number | 6-34 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 5 |

Prime? | no prime: 683 |

Chirality | yes enantiomorph: 1621 |

Deep Scale | no |

Interval Vector | 142422 |

Interval Spectrum | p^{2}m^{4}n^{2}s^{4}dt^{2} |

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

Spectra Variation | 1.667 |

Myhill Property | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1357 can be rotated to make 5 other scales. The 1st mode is itself.

The prime form of this scale is Scale 683

Scale 683 |

The hexatonic modal family [1357, 1363, 2729, 853, 1237, 1333] is the negative of the hexatonic modal family [683, 1369, 1381, 1429, 1621, 2389]

The inverse of a scale is a reflection using the root as its axis. The inverse of 1357 is 1621

Scale 1621 | Prometheus (Scriabin) |

Only scales that are chiral will have an enantiomorph. Scale 1357 is chiral, and its enantiomorph is scale 1621

Scale 1621 | Prometheus (Scriabin) |

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 1359 | ||||

Scale 1353 | Raga Harikauns | |||

Scale 1355 | Raga Bhavani | |||

Scale 1349 | ||||

Scale 1365 | Whole-tone | |||

Scale 1373 | ||||

Scale 1389 | Minor Locrian | |||

Scale 1293 | ||||

Scale 1325 | ||||

Scale 1421 | Raga Trimurti | |||

Scale 1485 | Minor Romani | |||

Scale 1101 | ||||

Scale 1229 | Raga Simharava | |||

Scale 1613 | ||||

Scale 1869 | ||||

Scale 333 | ||||

Scale 845 | Raga Neelangi | |||

Scale 2381 | Takemitsu Tree Line mode 1 | |||

Scale 3405 |

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