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
- Aeolyptian

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

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

Forte Number | 7-15 |

Rotational Symmetry | none |

Reflection Axes | 3 |

Palindromic | no |

Chirality | no |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 471 |

Deep Scale | no |

Interval Vector | 442443 |

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

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

Spectra Variation | 2.286 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [6] |

Propriety | Improper |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2283 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3189 | Aeolonian | ||||

3rd mode: Scale 1821 | Aeradian | ||||

4th mode: Scale 1479 | Mela Jalarnava | ||||

5th mode: Scale 2787 | Zyrian | ||||

6th mode: Scale 3441 | Thacrian | ||||

7th mode: Scale 471 | Dodian | This is the prime mode |

The prime form of this scale is Scale 471

Scale 471 | Dodian |

The heptatonic modal family [2283, 3189, 1821, 1479, 2787, 3441, 471] (Forte: 7-15) is the complement of the pentatonic modal family [327, 453, 1137, 2211, 3153] (Forte: 5-15)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2283 is 2787

Scale 2787 | Zyrian |

T_{0} | 2283 | T_{0}I | 2787 | |||||

T_{1} | 471 | T_{1}I | 1479 | |||||

T_{2} | 942 | T_{2}I | 2958 | |||||

T_{3} | 1884 | T_{3}I | 1821 | |||||

T_{4} | 3768 | T_{4}I | 3642 | |||||

T_{5} | 3441 | T_{5}I | 3189 | |||||

T_{6} | 2787 | T_{6}I | 2283 | |||||

T_{7} | 1479 | T_{7}I | 471 | |||||

T_{8} | 2958 | T_{8}I | 942 | |||||

T_{9} | 1821 | T_{9}I | 1884 | |||||

T_{10} | 3642 | T_{10}I | 3768 | |||||

T_{11} | 3189 | T_{11}I | 3441 |

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 2281 | Rathimic | |||

Scale 2285 | Aerogian | |||

Scale 2287 | Lodyllic | |||

Scale 2275 | Messiaen Mode 5 | |||

Scale 2279 | Dyrian | |||

Scale 2291 | Zydian | |||

Scale 2299 | Phraptyllic | |||

Scale 2251 | Zodimic | |||

Scale 2267 | Padian | |||

Scale 2219 | Phrydimic | |||

Scale 2155 | ||||

Scale 2411 | Aeolorian | |||

Scale 2539 | Half-Diminished Bebop | |||

Scale 2795 | Van der Horst Octatonic | |||

Scale 3307 | Boptyllic | |||

Scale 235 | ||||

Scale 1259 | Stadian |

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.