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
- Pygian

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

Pitch Class Set | {0,2,3,4,6,7,11} |

Forte Number | 7-Z37 |

Rotational Symmetry | none |

Reflection Axes | 3 |

Palindromic | no |

Chirality | no |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 443 |

Deep Scale | no |

Interval Vector | 434541 |

Interval Spectrum | p^{4}m^{5}n^{4}s^{3}d^{4}t |

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

Spectra Variation | 2.571 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [6] |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2269 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 1591 | Rodian | ||||

3rd mode: Scale 2843 | Sorian | ||||

4th mode: Scale 3469 | Monian | ||||

5th mode: Scale 1891 | Thalian | ||||

6th mode: Scale 2993 | Stythian | ||||

7th mode: Scale 443 | Kothian | This is the prime mode |

The prime form of this scale is Scale 443

Scale 443 | Kothian |

The heptatonic modal family [2269, 1591, 2843, 3469, 1891, 2993, 443] (Forte: 7-Z37) is the complement of the pentatonic modal family [313, 551, 913, 2323, 3209] (Forte: 5-Z37)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2269 is 1891

Scale 1891 | Thalian |

T_{0} | 2269 | T_{0}I | 1891 | |||||

T_{1} | 443 | T_{1}I | 3782 | |||||

T_{2} | 886 | T_{2}I | 3469 | |||||

T_{3} | 1772 | T_{3}I | 2843 | |||||

T_{4} | 3544 | T_{4}I | 1591 | |||||

T_{5} | 2993 | T_{5}I | 3182 | |||||

T_{6} | 1891 | T_{6}I | 2269 | |||||

T_{7} | 3782 | T_{7}I | 443 | |||||

T_{8} | 3469 | T_{8}I | 886 | |||||

T_{9} | 2843 | T_{9}I | 1772 | |||||

T_{10} | 1591 | T_{10}I | 3544 | |||||

T_{11} | 3182 | T_{11}I | 2993 |

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 2271 | Poptyllic | |||

Scale 2265 | Raga Rasamanjari | |||

Scale 2267 | Padian | |||

Scale 2261 | Raga Caturangini | |||

Scale 2253 | Raga Amarasenapriya | |||

Scale 2285 | Aerogian | |||

Scale 2301 | Bydyllic | |||

Scale 2205 | Ionocrimic | |||

Scale 2237 | Epothian | |||

Scale 2141 | ||||

Scale 2397 | Stagian | |||

Scale 2525 | Aeolaryllic | |||

Scale 2781 | Gycryllic | |||

Scale 3293 | Saryllic | |||

Scale 221 | ||||

Scale 1245 | Lathian |

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