The Exciting Universe Of Music Theory

presents

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- Zeitler
- Aerynyllic

Cardinality | 8 (octatonic) |
---|---|

Pitch Class Set | {0,1,4,5,7,8,9,10} |

Forte Number | 8-17 |

Rotational Symmetry | none |

Reflection Axes | 2.5 |

Palindromic | no |

Chirality | no |

Hemitonia | 5 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 7 |

Prime? | no prime: 891 |

Deep Scale | no |

Interval Vector | 546652 |

Interval Spectrum | p^{5}m^{6}n^{6}s^{4}d^{5}t^{2} |

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

Spectra Variation | 2 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [5] |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1971 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode: Scale 3033 | Doptyllic | ||||

3rd mode: Scale 891 | Ionilyllic | This is the prime mode | |||

4th mode: Scale 2493 | Manyllic | ||||

5th mode: Scale 1647 | Polyllic | ||||

6th mode: Scale 2871 | Stanyllic | ||||

7th mode: Scale 3483 | Mixotharyllic | ||||

8th mode: Scale 3789 | Eporyllic |

The prime form of this scale is Scale 891

Scale 891 | Ionilyllic |

The octatonic modal family [1971, 3033, 891, 2493, 1647, 2871, 3483, 3789] (Forte: 8-17) is the complement of the tetratonic modal family [153, 531, 801, 2313] (Forte: 4-17)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1971 is 2493

Scale 2493 | Manyllic |

T_{0} | 1971 | T_{0}I | 2493 | |||||

T_{1} | 3942 | T_{1}I | 891 | |||||

T_{2} | 3789 | T_{2}I | 1782 | |||||

T_{3} | 3483 | T_{3}I | 3564 | |||||

T_{4} | 2871 | T_{4}I | 3033 | |||||

T_{5} | 1647 | T_{5}I | 1971 | |||||

T_{6} | 3294 | T_{6}I | 3942 | |||||

T_{7} | 2493 | T_{7}I | 3789 | |||||

T_{8} | 891 | T_{8}I | 3483 | |||||

T_{9} | 1782 | T_{9}I | 2871 | |||||

T_{10} | 3564 | T_{10}I | 1647 | |||||

T_{11} | 3033 | T_{11}I | 3294 |

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 1969 | Stylian | |||

Scale 1973 | Zyryllic | |||

Scale 1975 | Ionocrygic | |||

Scale 1979 | Aeradygic | |||

Scale 1955 | Sonian | |||

Scale 1963 | Epocryllic | |||

Scale 1939 | Dathian | |||

Scale 2003 | Podyllic | |||

Scale 2035 | Aerythygic | |||

Scale 1843 | Ionygian | |||

Scale 1907 | Lynyllic | |||

Scale 1715 | Harmonic Minor Inverse | |||

Scale 1459 | Phrygian Dominant | |||

Scale 947 | Mela Gayakapriya | |||

Scale 2995 | Raga Saurashtra | |||

Scale 4019 | Lonygic |

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