The Exciting Universe Of Music Theory

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- Arabic
- Maqam Shadd'araban

- Zeitler
- Magyllic

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

Pitch Class Set | {0,1,3,4,5,6,9,10} |

Forte Number | 8-18 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3021 |

Hemitonia | 5 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 7 |

Prime? | no prime: 879 |

Deep Scale | no |

Interval Vector | 546553 |

Interval Spectrum | p^{5}m^{5}n^{6}s^{4}d^{5}t^{3} |

Distribution Spectra | <1> = {1,2,3} <2> = {2,3,4} <3> = {3,4,5,6} <4> = {5,6,7} <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 | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1659 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode: Scale 2877 | Phrylyllic | ||||

3rd mode: Scale 1743 | Epigyllic | ||||

4th mode: Scale 2919 | Molyllic | ||||

5th mode: Scale 3507 | Maqam Hijaz | ||||

6th mode: Scale 3801 | Maptyllic | ||||

7th mode: Scale 987 | Aeraptyllic | ||||

8th mode: Scale 2541 | Algerian |

The prime form of this scale is Scale 879

Scale 879 | Aeranyllic |

The octatonic modal family [1659, 2877, 1743, 2919, 3507, 3801, 987, 2541] (Forte: 8-18) is the complement of the tetratonic modal family [147, 609, 777, 2121] (Forte: 4-18)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1659 is 3021

Scale 3021 | Stodyllic |

Only scales that are chiral will have an enantiomorph. Scale 1659 is chiral, and its enantiomorph is scale 3021

Scale 3021 | Stodyllic |

T_{0} | 1659 | T_{0}I | 3021 | |||||

T_{1} | 3318 | T_{1}I | 1947 | |||||

T_{2} | 2541 | T_{2}I | 3894 | |||||

T_{3} | 987 | T_{3}I | 3693 | |||||

T_{4} | 1974 | T_{4}I | 3291 | |||||

T_{5} | 3948 | T_{5}I | 2487 | |||||

T_{6} | 3801 | T_{6}I | 879 | |||||

T_{7} | 3507 | T_{7}I | 1758 | |||||

T_{8} | 2919 | T_{8}I | 3516 | |||||

T_{9} | 1743 | T_{9}I | 2937 | |||||

T_{10} | 3486 | T_{10}I | 1779 | |||||

T_{11} | 2877 | T_{11}I | 3558 |

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 1657 | Ionothian | |||

Scale 1661 | Gonyllic | |||

Scale 1663 | Lydygic | |||

Scale 1651 | Asian | |||

Scale 1655 | Katygyllic | |||

Scale 1643 | Locrian Natural 6 | |||

Scale 1627 | Zyptian | |||

Scale 1595 | Dacrian | |||

Scale 1723 | JG Octatonic | |||

Scale 1787 | Mycrygic | |||

Scale 1915 | Thydygic | |||

Scale 1147 | Epynian | |||

Scale 1403 | Espla's scale | |||

Scale 635 | Epolian | |||

Scale 2683 | Thodyllic | |||

Scale 3707 | Rynygic |

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