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.

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
- Epidygic

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

Pitch Class Set | {0,1,3,4,6,7,9,10,11} |

Forte Number | 9-10 |

Rotational Symmetry | none |

Reflection Axes | 5 |

Palindromic | no |

Chirality | no |

Hemitonia | 6 (multihemitonic) |

Cohemitonia | 3 (tricohemitonic) |

Imperfections | 3 |

Modes | 8 |

Prime? | no prime: 1759 |

Deep Scale | no |

Interval Vector | 668664 |

Interval Spectrum | p^{6}m^{6}n^{8}s^{6}d^{6}t^{4} |

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

Spectra Variation | 1.333 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [10] |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3803 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode: Scale 3949 | Koptygic | ||||

3rd mode: Scale 2011 | Raphygic | ||||

4th mode: Scale 3053 | Zycrygic | ||||

5th mode: Scale 1787 | Mycrygic | ||||

6th mode: Scale 2941 | Laptygic | ||||

7th mode: Scale 1759 | Pylygic | This is the prime mode | |||

8th mode: Scale 2927 | Rodygic | ||||

9th mode: Scale 3511 | Epolygic |

The prime form of this scale is Scale 1759

Scale 1759 | Pylygic |

The nonatonic modal family [3803, 3949, 2011, 3053, 1787, 2941, 1759, 2927, 3511] (Forte: 9-10) is the complement of the tritonic modal family [73, 521, 577] (Forte: 3-10)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3803 is 2927

Scale 2927 | Rodygic |

T_{0} | 3803 | T_{0}I | 2927 | |||||

T_{1} | 3511 | T_{1}I | 1759 | |||||

T_{2} | 2927 | T_{2}I | 3518 | |||||

T_{3} | 1759 | T_{3}I | 2941 | |||||

T_{4} | 3518 | T_{4}I | 1787 | |||||

T_{5} | 2941 | T_{5}I | 3574 | |||||

T_{6} | 1787 | T_{6}I | 3053 | |||||

T_{7} | 3574 | T_{7}I | 2011 | |||||

T_{8} | 3053 | T_{8}I | 4022 | |||||

T_{9} | 2011 | T_{9}I | 3949 | |||||

T_{10} | 4022 | T_{10}I | 3803 | |||||

T_{11} | 3949 | T_{11}I | 3511 |

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 3801 | Maptyllic | |||

Scale 3805 | Moptygic | |||

Scale 3807 | Bagyllian | |||

Scale 3795 | Epothyllic | |||

Scale 3799 | Aeralygic | |||

Scale 3787 | Kagyllic | |||

Scale 3819 | Aeolanygic | |||

Scale 3835 | ||||

Scale 3739 | Epanyllic | |||

Scale 3771 | Katodyllian | |||

Scale 3675 | Monyllic | |||

Scale 3931 | Aerygic | |||

Scale 4059 | Zolyllian | |||

Scale 3291 | Lygyllic | |||

Scale 3547 | Sadygic | |||

Scale 2779 | Shostakovich | |||

Scale 1755 | Octatonic |

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