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
- Aeopian

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

Pitch Class Set | {0,4,6,7,9,10,11} |

Forte Number | 7-Z36 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 367 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 367 |

Deep Scale | no |

Interval Vector | 444342 |

Interval Spectrum | p^{4}m^{3}n^{4}s^{4}d^{4}t^{2} |

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

Spectra Variation | 3.143 |

Maximally Even | no |

Maximal Area Set | no |

Interior Area | 2.299 |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 3793 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 493 | Rygian | ||||

3rd mode: Scale 1147 | Epynian | ||||

4th mode: Scale 2621 | Ionogian | ||||

5th mode: Scale 1679 | Kydian | ||||

6th mode: Scale 2887 | Gaptian | ||||

7th mode: Scale 3491 | Tharian |

The prime form of this scale is Scale 367

Scale 367 | Aerodian |

The heptatonic modal family [3793, 493, 1147, 2621, 1679, 2887, 3491] (Forte: 7-Z36) is the complement of the pentatonic modal family [151, 737, 1801, 2123, 3109] (Forte: 5-Z36)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3793 is 367

Scale 367 | Aerodian |

Only scales that are chiral will have an enantiomorph. Scale 3793 is chiral, and its enantiomorph is scale 367

Scale 367 | Aerodian |

T_{0} | 3793 | T_{0}I | 367 | |||||

T_{1} | 3491 | T_{1}I | 734 | |||||

T_{2} | 2887 | T_{2}I | 1468 | |||||

T_{3} | 1679 | T_{3}I | 2936 | |||||

T_{4} | 3358 | T_{4}I | 1777 | |||||

T_{5} | 2621 | T_{5}I | 3554 | |||||

T_{6} | 1147 | T_{6}I | 3013 | |||||

T_{7} | 2294 | T_{7}I | 1931 | |||||

T_{8} | 493 | T_{8}I | 3862 | |||||

T_{9} | 986 | T_{9}I | 3629 | |||||

T_{10} | 1972 | T_{10}I | 3163 | |||||

T_{11} | 3944 | T_{11}I | 2231 |

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 3795 | Epothyllic | |||

Scale 3797 | Rocryllic | |||

Scale 3801 | Maptyllic | |||

Scale 3777 | ||||

Scale 3785 | Epagian | |||

Scale 3809 | ||||

Scale 3825 | Pynyllic | |||

Scale 3729 | Starimic | |||

Scale 3761 | Raga Madhuri | |||

Scale 3665 | Stalimic | |||

Scale 3921 | Pythian | |||

Scale 4049 | Stycryllic | |||

Scale 3281 | Raga Vijayavasanta | |||

Scale 3537 | Katogian | |||

Scale 2769 | Dyrimic | |||

Scale 1745 | Raga Vutari |

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.