The Exciting Universe Of Music Theory

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- Zeitler
- Stylian

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

Pitch Class Set | {0,4,5,7,8,9,10} |

Forte Number | 7-11 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 445 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 379 |

Deep Scale | no |

Interval Vector | 444441 |

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

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

Spectra Variation | 3.143 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1969 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 379 | Aeragian | This is the prime mode | |||

3rd mode: Scale 2237 | Epothian | ||||

4th mode: Scale 1583 | Salian | ||||

5th mode: Scale 2839 | Lyptian | ||||

6th mode: Scale 3467 | Katonian | ||||

7th mode: Scale 3781 | Gyphian |

The prime form of this scale is Scale 379

Scale 379 | Aeragian |

The heptatonic modal family [1969, 379, 2237, 1583, 2839, 3467, 3781] (Forte: 7-11) is the complement of the pentatonic modal family [157, 929, 1063, 2579, 3337] (Forte: 5-11)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1969 is 445

Scale 445 | Gocrian |

Only scales that are chiral will have an enantiomorph. Scale 1969 is chiral, and its enantiomorph is scale 445

Scale 445 | Gocrian |

T_{0} | 1969 | T_{0}I | 445 | |||||

T_{1} | 3938 | T_{1}I | 890 | |||||

T_{2} | 3781 | T_{2}I | 1780 | |||||

T_{3} | 3467 | T_{3}I | 3560 | |||||

T_{4} | 2839 | T_{4}I | 3025 | |||||

T_{5} | 1583 | T_{5}I | 1955 | |||||

T_{6} | 3166 | T_{6}I | 3910 | |||||

T_{7} | 2237 | T_{7}I | 3725 | |||||

T_{8} | 379 | T_{8}I | 3355 | |||||

T_{9} | 758 | T_{9}I | 2615 | |||||

T_{10} | 1516 | T_{10}I | 1135 | |||||

T_{11} | 3032 | T_{11}I | 2270 |

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 1971 | Aerynyllic | |||

Scale 1973 | Zyryllic | |||

Scale 1977 | Dagyllic | |||

Scale 1953 | ||||

Scale 1961 | Soptian | |||

Scale 1937 | Galimic | |||

Scale 2001 | Gydian | |||

Scale 2033 | Stolyllic | |||

Scale 1841 | Thogimic | |||

Scale 1905 | Katacrian | |||

Scale 1713 | Raga Khamas | |||

Scale 1457 | Raga Kamalamanohari | |||

Scale 945 | Raga Saravati | |||

Scale 2993 | Stythian | |||

Scale 4017 | Dolyllic |

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