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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.

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
- Rycrygic

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

Pitch Class Set | {0,1,2,3,4,6,9,10,11} |

Forte Number | 9-2 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3919 |

Hemitonia | 7 (multihemitonic) |

Cohemitonia | 6 (multicohemitonic) |

Imperfections | 3 |

Modes | 8 |

Prime? | no prime: 767 |

Deep Scale | no |

Interval Vector | 777663 |

Interval Spectrum | p^{6}m^{6}n^{7}s^{7}d^{7}t^{3} |

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

Spectra Variation | 2.444 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3679 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode: Scale 3887 | Phrathygic | ||||

3rd mode: Scale 3991 | Badygic | ||||

4th mode: Scale 4043 | Phrocrygic | ||||

5th mode: Scale 4069 | Starygic | ||||

6th mode: Scale 2041 | Aeolacrygic | ||||

7th mode: Scale 767 | Raptygic | This is the prime mode | |||

8th mode: Scale 2431 | Gythygic | ||||

9th mode: Scale 3263 | Pyrygic |

The prime form of this scale is Scale 767

Scale 767 | Raptygic |

The nonatonic modal family [3679, 3887, 3991, 4043, 4069, 2041, 767, 2431, 3263] (Forte: 9-2) is the complement of the tritonic modal family [11, 1537, 2053] (Forte: 3-2)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3679 is 3919

Scale 3919 | Lynygic |

Only scales that are chiral will have an enantiomorph. Scale 3679 is chiral, and its enantiomorph is scale 3919

Scale 3919 | Lynygic |

T_{0} | 3679 | T_{0}I | 3919 | |||||

T_{1} | 3263 | T_{1}I | 3743 | |||||

T_{2} | 2431 | T_{2}I | 3391 | |||||

T_{3} | 767 | T_{3}I | 2687 | |||||

T_{4} | 1534 | T_{4}I | 1279 | |||||

T_{5} | 3068 | T_{5}I | 2558 | |||||

T_{6} | 2041 | T_{6}I | 1021 | |||||

T_{7} | 4082 | T_{7}I | 2042 | |||||

T_{8} | 4069 | T_{8}I | 4084 | |||||

T_{9} | 4043 | T_{9}I | 4073 | |||||

T_{10} | 3991 | T_{10}I | 4051 | |||||

T_{11} | 3887 | T_{11}I | 4007 |

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 3677 | ||||

Scale 3675 | Monyllic | |||

Scale 3671 | Aeonyllic | |||

Scale 3663 | Sonyllic | |||

Scale 3695 | Kodygic | |||

Scale 3711 | Dycryllian | |||

Scale 3615 | ||||

Scale 3647 | Eporygic | |||

Scale 3743 | Thadygic | |||

Scale 3807 | Bagyllian | |||

Scale 3935 | Kataphyllian | |||

Scale 3167 | Thynyllic | |||

Scale 3423 | Lothygic | |||

Scale 2655 | ||||

Scale 1631 | Rynyllic |

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