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

*i* = imperfections

Tones | 10 (decatonic) |
---|---|

Pitch Class Set | {0,1,2,3,4,6,7,8,9,10} |

Forte Number | 10-6 |

Rotational Symmetry | 6 semitones |

Palindromic | no |

Hemitonia | 8 (multihemitonic) |

Cohemitonia | 6 (multicohemitonic) |

Imperfections | 2 |

Modes | 4 |

Prime? | yes |

Chirality | no |

Deep Scale | no |

Interval Vector | 888885 |

Interval Spectrum | p^{8}m^{8}n^{8}s^{8}d^{8}t^{5} |

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

Spectra Variation | 0.8 |

Myhill Property | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2015 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 3055 | Messiaen mode 7 | ||||

3rd mode: Scale 3575 | Symmetrical Decatonic | ||||

4th mode: Scale 3835 | |||||

5th mode: Scale 3965 | Messiaen mode 7 inverse |

This is the prime form of this scale.

The decatonic modal family [2015, 3055, 3575, 3835, 3965] is the negative of the modal family [65]

The inverse of a scale is a reflection using the root as its axis. The inverse of 2015 is 3965

Scale 3965 | Messiaen mode 7 inverse |

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 2013 | ||||

Scale 2011 | ||||

Scale 2007 | ||||

Scale 1999 | ||||

Scale 2031 | ||||

Scale 2047 | ||||

Scale 1951 | ||||

Scale 1983 | ||||

Scale 1887 | ||||

Scale 1759 | ||||

Scale 1503 | ||||

Scale 991 | ||||

Scale 3039 | ||||

Scale 4063 |

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