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
- Aerylitonic

Cardinality | 5 (pentatonic) |
---|---|

Pitch Class Set | {0,1,3,4,8} |

Forte Number | 5-Z17 |

Rotational Symmetry | none |

Reflection Axes | 2 |

Palindromic | no |

Chirality | no |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 4 |

Prime? | yes |

Deep Scale | no |

Interval Vector | 212320 |

Interval Spectrum | p^{2}m^{3}n^{2}sd^{2} |

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

Spectra Variation | 3.2 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [4] |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 283 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 2189 | Zagitonic | ||||

3rd mode: Scale 1571 | Lagitonic | ||||

4th mode: Scale 2833 | Dolitonic | ||||

5th mode: Scale 433 | Raga Zilaf |

This is the prime form of this scale.

The pentatonic modal family [283, 2189, 1571, 2833, 433] (Forte: 5-Z17) is the complement of the heptatonic modal family [631, 953, 1831, 2363, 2963, 3229, 3529] (Forte: 7-Z17)

The inverse of a scale is a reflection using the root as its axis. The inverse of 283 is 2833

Scale 2833 | Dolitonic |

T_{0} | 283 | T_{0}I | 2833 | |||||

T_{1} | 566 | T_{1}I | 1571 | |||||

T_{2} | 1132 | T_{2}I | 3142 | |||||

T_{3} | 2264 | T_{3}I | 2189 | |||||

T_{4} | 433 | T_{4}I | 283 | |||||

T_{5} | 866 | T_{5}I | 566 | |||||

T_{6} | 1732 | T_{6}I | 1132 | |||||

T_{7} | 3464 | T_{7}I | 2264 | |||||

T_{8} | 2833 | T_{8}I | 433 | |||||

T_{9} | 1571 | T_{9}I | 866 | |||||

T_{10} | 3142 | T_{10}I | 1732 | |||||

T_{11} | 2189 | T_{11}I | 3464 |

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 281 | Lanic | |||

Scale 285 | Zaritonic | |||

Scale 287 | Gynimic | |||

Scale 275 | Dalic | |||

Scale 279 | Poditonic | |||

Scale 267 | ||||

Scale 299 | Raga Chitthakarshini | |||

Scale 315 | Stodimic | |||

Scale 347 | Barimic | |||

Scale 411 | Lygimic | |||

Scale 27 | ||||

Scale 155 | ||||

Scale 539 | ||||

Scale 795 | Aeologimic | |||

Scale 1307 | Katorimic | |||

Scale 2331 | Dylimic |

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