The Exciting Universe Of Music Theory

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- Zeitler
- Lylian

Cardinality | 7 (heptatonic) |
---|---|

Pitch Class Set | {0,2,3,6,8,9,11} |

Forte Number | 7-31 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1627 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 6 |

Prime? | no prime: 731 |

Deep Scale | no |

Interval Vector | 336333 |

Interval Spectrum | p^{3}m^{3}n^{6}s^{3}d^{3}t^{3} |

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

Spectra Variation | 1.714 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2893 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 1747 | Mela Ramapriya | ||||

3rd mode: Scale 2921 | Pogian | ||||

4th mode: Scale 877 | Moravian Pistalkova | ||||

5th mode: Scale 1243 | Epylian | ||||

6th mode: Scale 2669 | Jeths' Mode | ||||

7th mode: Scale 1691 | Kathian |

The prime form of this scale is Scale 731

Scale 731 | Ionorian |

The heptatonic modal family [2893, 1747, 2921, 877, 1243, 2669, 1691] (Forte: 7-31) is the complement of the pentatonic modal family [587, 601, 713, 1609, 2341] (Forte: 5-31)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2893 is 1627

Scale 1627 | Zyptian |

Only scales that are chiral will have an enantiomorph. Scale 2893 is chiral, and its enantiomorph is scale 1627

Scale 1627 | Zyptian |

T_{0} | 2893 | T_{0}I | 1627 | |||||

T_{1} | 1691 | T_{1}I | 3254 | |||||

T_{2} | 3382 | T_{2}I | 2413 | |||||

T_{3} | 2669 | T_{3}I | 731 | |||||

T_{4} | 1243 | T_{4}I | 1462 | |||||

T_{5} | 2486 | T_{5}I | 2924 | |||||

T_{6} | 877 | T_{6}I | 1753 | |||||

T_{7} | 1754 | T_{7}I | 3506 | |||||

T_{8} | 3508 | T_{8}I | 2917 | |||||

T_{9} | 2921 | T_{9}I | 1739 | |||||

T_{10} | 1747 | T_{10}I | 3478 | |||||

T_{11} | 3494 | T_{11}I | 2861 |

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 2895 | Aeoryllic | |||

Scale 2889 | Thoptimic | |||

Scale 2891 | Phrogian | |||

Scale 2885 | Byrimic | |||

Scale 2901 | Lydian Augmented | |||

Scale 2909 | Mocryllic | |||

Scale 2925 | Diminished | |||

Scale 2829 | ||||

Scale 2861 | Katothian | |||

Scale 2957 | Thygian | |||

Scale 3021 | Stodyllic | |||

Scale 2637 | Raga Ranjani | |||

Scale 2765 | Lydian Diminished | |||

Scale 2381 | Takemitsu Linea Mode 1 | |||

Scale 3405 | Stynian | |||

Scale 3917 | Katoptyllic | |||

Scale 845 | Raga Neelangi | |||

Scale 1869 | Katyrian |

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