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

*i* = imperfections

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

Pitch Class Set | {0,1,4,6,8,10} |

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: 2389 |

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 |

Balanced | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1363 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 2729 | |||||

3rd mode: Scale 853 | |||||

4th mode: Scale 1237 | |||||

5th mode: Scale 1333 | |||||

6th mode: Scale 1357 | Takemitsu Tree Line mode 2 |

The prime form of this scale is Scale 683

Scale 683 |

The hexatonic modal family [1363, 2729, 853, 1237, 1333, 1357] 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 1363 is 2389

Scale 2389 | Eskimo Hexatonic 2 |

Only scales that are chiral will have an enantiomorph. Scale 1363 is chiral, and its enantiomorph is scale 2389

Scale 2389 | Eskimo Hexatonic 2 |

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 1361 | ||||

Scale 1365 | Whole-tone | |||

Scale 1367 | Leading Whole-Tone inverse | |||

Scale 1371 | Superlocrian | |||

Scale 1347 | ||||

Scale 1355 | Raga Bhavani | |||

Scale 1379 | ||||

Scale 1395 | Asian (a) | |||

Scale 1299 | ||||

Scale 1331 | Raga Vasantabhairavi | |||

Scale 1427 | ||||

Scale 1491 | Mela Namanarayani | |||

Scale 1107 | ||||

Scale 1235 | Messiaen truncated mode 2 | |||

Scale 1619 | Prometheus Neapolitan | |||

Scale 1875 | ||||

Scale 339 | ||||

Scale 851 | Raga Hejjajji | |||

Scale 2387 | ||||

Scale 3411 | Enigmatic |

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