The Exciting Universe Of Music Theory

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The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks *imperfect* tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

- Zeitler
- Aeolanygic

Cardinality | 9 (nonatonic) |
---|---|

Pitch Class Set | {0,1,3,5,6,7,9,10,11} |

Forte Number | 9-8 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2799 |

Hemitonia | 6 (multihemitonic) |

Cohemitonia | 4 (multicohemitonic) |

Imperfections | 3 |

Modes | 8 |

Prime? | no prime: 1503 |

Deep Scale | no |

Interval Vector | 676764 |

Interval Spectrum | p^{6}m^{7}n^{6}s^{7}d^{6}t^{4} |

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

Spectra Variation | 1.556 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3819 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode: Scale 3957 | Porygic | ||||

3rd mode: Scale 2013 | Mocrygic | ||||

4th mode: Scale 1527 | Aeolyrigic | ||||

5th mode: Scale 2811 | Barygic | ||||

6th mode: Scale 3453 | Katarygic | ||||

7th mode: Scale 1887 | Aerocrygic | ||||

8th mode: Scale 2991 | Zanygic | ||||

9th mode: Scale 3543 | Aeolonygic |

The prime form of this scale is Scale 1503

Scale 1503 | Epiryllian |

The nonatonic modal family [3819, 3957, 2013, 1527, 2811, 3453, 1887, 2991, 3543] (Forte: 9-8) is the complement of the tritonic modal family [69, 321, 1041] (Forte: 3-8)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3819 is 2799

Scale 2799 | Lyryllian |

Only scales that are chiral will have an enantiomorph. Scale 3819 is chiral, and its enantiomorph is scale 2799

Scale 2799 | Lyryllian |

T_{0} | 3819 | T_{0}I | 2799 | |||||

T_{1} | 3543 | T_{1}I | 1503 | |||||

T_{2} | 2991 | T_{2}I | 3006 | |||||

T_{3} | 1887 | T_{3}I | 1917 | |||||

T_{4} | 3774 | T_{4}I | 3834 | |||||

T_{5} | 3453 | T_{5}I | 3573 | |||||

T_{6} | 2811 | T_{6}I | 3051 | |||||

T_{7} | 1527 | T_{7}I | 2007 | |||||

T_{8} | 3054 | T_{8}I | 4014 | |||||

T_{9} | 2013 | T_{9}I | 3933 | |||||

T_{10} | 4026 | T_{10}I | 3771 | |||||

T_{11} | 3957 | T_{11}I | 3447 |

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 3817 | Zoryllic | |||

Scale 3821 | Epyrygic | |||

Scale 3823 | Epinyllian | |||

Scale 3811 | Epogyllic | |||

Scale 3815 | Galygic | |||

Scale 3827 | Bodygic | |||

Scale 3835 | ||||

Scale 3787 | Kagyllic | |||

Scale 3803 | Epidygic | |||

Scale 3755 | Phryryllic | |||

Scale 3691 | Badyllic | |||

Scale 3947 | Ryptygic | |||

Scale 4075 | Katyllian | |||

Scale 3307 | Boptyllic | |||

Scale 3563 | Ionoptygic | |||

Scale 2795 | Van der Horst Octatonic | |||

Scale 1771 |

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.