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Cardinality | 5 (pentatonic) |
---|---|

Pitch Class Set | {0,2,8,9,11} |

Forte Number | 5-10 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1051 |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 4 |

Prime? | no prime: 91 |

Deep Scale | no |

Interval Vector | 223111 |

Interval Spectrum | pmn^{3}s^{2}d^{2}t |

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

Spectra Variation | 4 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2821 can be rotated to make 4 other scales. The 1st mode is itself.

The prime form of this scale is Scale 91

Scale 91 |

The pentatonic modal family [2821, 1729, 91, 2093, 1547] (Forte: 5-10) is the complement of the heptatonic modal family [607, 761, 1993, 2351, 3223, 3659, 3877] (Forte: 7-10)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2821 is 1051

Scale 1051 |

Only scales that are chiral will have an enantiomorph. Scale 2821 is chiral, and its enantiomorph is scale 1051

Scale 1051 |

T_{0} | 2821 | T_{0}I | 1051 | |||||

T_{1} | 1547 | T_{1}I | 2102 | |||||

T_{2} | 3094 | T_{2}I | 109 | |||||

T_{3} | 2093 | T_{3}I | 218 | |||||

T_{4} | 91 | T_{4}I | 436 | |||||

T_{5} | 182 | T_{5}I | 872 | |||||

T_{6} | 364 | T_{6}I | 1744 | |||||

T_{7} | 728 | T_{7}I | 3488 | |||||

T_{8} | 1456 | T_{8}I | 2881 | |||||

T_{9} | 2912 | T_{9}I | 1667 | |||||

T_{10} | 1729 | T_{10}I | 3334 | |||||

T_{11} | 3458 | T_{11}I | 2573 |

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 2823 | ||||

Scale 2817 | ||||

Scale 2819 | ||||

Scale 2825 | ||||

Scale 2829 | ||||

Scale 2837 | Aelothimic | |||

Scale 2853 | Baptimic | |||

Scale 2885 | Byrimic | |||

Scale 2949 | ||||

Scale 2565 | ||||

Scale 2693 | ||||

Scale 2309 | ||||

Scale 3333 | ||||

Scale 3845 | ||||

Scale 773 | ||||

Scale 1797 |

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. Bibliography