The Exciting Universe Of Music Theory

presents

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- Zeitler
- Sonian

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

Pitch Class Set | {0,1,5,7,8,9,10} |

Forte Number | 7-11 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2237 |

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 1955 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3025 | Epycrian | ||||

3rd mode: Scale 445 | Gocrian | ||||

4th mode: Scale 1135 | Katolian | ||||

5th mode: Scale 2615 | Thoptian | ||||

6th mode: Scale 3355 | Bagian | ||||

7th mode: Scale 3725 | Kyrian |

The prime form of this scale is Scale 379

Scale 379 | Aeragian |

The heptatonic modal family [1955, 3025, 445, 1135, 2615, 3355, 3725] (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 1955 is 2237

Scale 2237 | Epothian |

Only scales that are chiral will have an enantiomorph. Scale 1955 is chiral, and its enantiomorph is scale 2237

Scale 2237 | Epothian |

T_{0} | 1955 | T_{0}I | 2237 | |||||

T_{1} | 3910 | T_{1}I | 379 | |||||

T_{2} | 3725 | T_{2}I | 758 | |||||

T_{3} | 3355 | T_{3}I | 1516 | |||||

T_{4} | 2615 | T_{4}I | 3032 | |||||

T_{5} | 1135 | T_{5}I | 1969 | |||||

T_{6} | 2270 | T_{6}I | 3938 | |||||

T_{7} | 445 | T_{7}I | 3781 | |||||

T_{8} | 890 | T_{8}I | 3467 | |||||

T_{9} | 1780 | T_{9}I | 2839 | |||||

T_{10} | 3560 | T_{10}I | 1583 | |||||

T_{11} | 3025 | T_{11}I | 3166 |

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 1953 | ||||

Scale 1957 | Pyrian | |||

Scale 1959 | Katolyllic | |||

Scale 1963 | Epocryllic | |||

Scale 1971 | Aerynyllic | |||

Scale 1923 | ||||

Scale 1939 | Dathian | |||

Scale 1987 | ||||

Scale 2019 | Palyllic | |||

Scale 1827 | Katygimic | |||

Scale 1891 | Thalian | |||

Scale 1699 | Raga Rasavali | |||

Scale 1443 | Raga Phenadyuti | |||

Scale 931 | Raga Kalakanthi | |||

Scale 2979 | Gyptian | |||

Scale 4003 | Sadyllic |

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