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

*i* = imperfections

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

Pitch Class Set | {0,1,3,5,6,10} |

Forte Number | 6-Z25 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 2 |

Modes | 5 |

Prime? | no prime: 363 |

Chirality | yes enantiomorph: 2757 |

Deep Scale | no |

Interval Vector | 233241 |

Interval Spectrum | p^{4}m^{2}n^{3}s^{3}d^{2}t |

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

Spectra Variation | 2.333 |

Myhill Property | no |

Balanced | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1131 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 2613 | Raga Hamsa Vinodini | ||||

3rd mode: Scale 1677 | Raga Manavi | ||||

4th mode: Scale 1443 | Raga Phenadyuti | ||||

5th mode: Scale 2769 | |||||

6th mode: Scale 429 |

The prime form of this scale is Scale 363

Scale 363 |

The hexatonic modal family [1131, 2613, 1677, 1443, 2769, 429] is the negative of the hexatonic modal family [663, 741, 1209, 1833, 2379, 3237]

The inverse of a scale is a reflection using the root as its axis. The inverse of 1131 is 2757

Scale 2757 | Raga Nishadi |

Only scales that are chiral will have an enantiomorph. Scale 1131 is chiral, and its enantiomorph is scale 2757

Scale 2757 | Raga Nishadi |

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 1129 | Raga Jayakauns | |||

Scale 1133 | ||||

Scale 1135 | ||||

Scale 1123 | Iwato | |||

Scale 1127 | ||||

Scale 1139 | ||||

Scale 1147 | ||||

Scale 1099 | ||||

Scale 1115 | Superlocrian Hexamirror | |||

Scale 1067 | ||||

Scale 1195 | Raga Gandharavam | |||

Scale 1259 | ||||

Scale 1387 | Locrian | |||

Scale 1643 | Locrian natural 6 | |||

Scale 107 | ||||

Scale 619 | Double-Phrygian Hexatonic | |||

Scale 2155 | ||||

Scale 3179 |

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