The Exciting Universe Of Music Theory

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- Zeitler
- Rydyllic

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

Pitch Class Set | {0,2,4,5,6,7,8,11} |

Forte Number | 8-Z15 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1523 |

Hemitonia | 5 (multihemitonic) |

Cohemitonia | 3 (tricohemitonic) |

Imperfections | 3 |

Modes | 7 |

Prime? | no prime: 863 |

Deep Scale | no |

Interval Vector | 555553 |

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

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

Spectra Variation | 2.25 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2549 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode: Scale 1661 | Gonyllic | ||||

3rd mode: Scale 1439 | Rolyllic | ||||

4th mode: Scale 2767 | Katydyllic | ||||

5th mode: Scale 3431 | Zyptyllic | ||||

6th mode: Scale 3763 | Modyllic | ||||

7th mode: Scale 3929 | Aeolothyllic | ||||

8th mode: Scale 1003 | Ionyryllic |

The prime form of this scale is Scale 863

Scale 863 | Pyryllic |

The octatonic modal family [2549, 1661, 1439, 2767, 3431, 3763, 3929, 1003] (Forte: 8-Z15) is the complement of the tetratonic modal family [83, 773, 1217, 2089] (Forte: 4-Z15)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2549 is 1523

Scale 1523 | Zothyllic |

Only scales that are chiral will have an enantiomorph. Scale 2549 is chiral, and its enantiomorph is scale 1523

Scale 1523 | Zothyllic |

T_{0} | 2549 | T_{0}I | 1523 | |||||

T_{1} | 1003 | T_{1}I | 3046 | |||||

T_{2} | 2006 | T_{2}I | 1997 | |||||

T_{3} | 4012 | T_{3}I | 3994 | |||||

T_{4} | 3929 | T_{4}I | 3893 | |||||

T_{5} | 3763 | T_{5}I | 3691 | |||||

T_{6} | 3431 | T_{6}I | 3287 | |||||

T_{7} | 2767 | T_{7}I | 2479 | |||||

T_{8} | 1439 | T_{8}I | 863 | |||||

T_{9} | 2878 | T_{9}I | 1726 | |||||

T_{10} | 1661 | T_{10}I | 3452 | |||||

T_{11} | 3322 | T_{11}I | 2809 |

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 2551 | Thocrygic | |||

Scale 2545 | Thycrian | |||

Scale 2547 | Raga Ramkali | |||

Scale 2553 | Aeolaptyllic | |||

Scale 2557 | Dothygic | |||

Scale 2533 | Podian | |||

Scale 2541 | Algerian | |||

Scale 2517 | Harmonic Lydian | |||

Scale 2485 | Harmonic Major | |||

Scale 2421 | Malian | |||

Scale 2293 | Gorian | |||

Scale 2805 | Ishikotsucho | |||

Scale 3061 | Apinygic | |||

Scale 3573 | Kaptygic | |||

Scale 501 | Katylian | |||

Scale 1525 | Sodyllic |

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