The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

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
- Aeolydian

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

Pitch Class Set | {0,1,5,6,8,9,11} |

Forte Number | 7-Z38 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2267 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 439 |

Deep Scale | no |

Interval Vector | 434442 |

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

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

Spectra Variation | 2.571 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2915 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3505 | Stygian | ||||

3rd mode: Scale 475 | Aeolygian | ||||

4th mode: Scale 2285 | Aerogian | ||||

5th mode: Scale 1595 | Dacrian | ||||

6th mode: Scale 2845 | Baptian | ||||

7th mode: Scale 1735 | Mela Navanitam |

The prime form of this scale is Scale 439

Scale 439 | Bythian |

The heptatonic modal family [2915, 3505, 475, 2285, 1595, 2845, 1735] (Forte: 7-Z38) is the complement of the pentatonic modal family [295, 625, 905, 2195, 3145] (Forte: 5-Z38)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2915 is 2267

Scale 2267 | Padian |

Only scales that are chiral will have an enantiomorph. Scale 2915 is chiral, and its enantiomorph is scale 2267

Scale 2267 | Padian |

T_{0} | 2915 | T_{0}I | 2267 | |||||

T_{1} | 1735 | T_{1}I | 439 | |||||

T_{2} | 3470 | T_{2}I | 878 | |||||

T_{3} | 2845 | T_{3}I | 1756 | |||||

T_{4} | 1595 | T_{4}I | 3512 | |||||

T_{5} | 3190 | T_{5}I | 2929 | |||||

T_{6} | 2285 | T_{6}I | 1763 | |||||

T_{7} | 475 | T_{7}I | 3526 | |||||

T_{8} | 950 | T_{8}I | 2957 | |||||

T_{9} | 1900 | T_{9}I | 1819 | |||||

T_{10} | 3800 | T_{10}I | 3638 | |||||

T_{11} | 3505 | T_{11}I | 3181 |

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 2913 | ||||

Scale 2917 | Nohkan Flute Scale | |||

Scale 2919 | Molyllic | |||

Scale 2923 | Baryllic | |||

Scale 2931 | Zathyllic | |||

Scale 2883 | ||||

Scale 2899 | Kagian | |||

Scale 2851 | Katoptimic | |||

Scale 2979 | Gyptian | |||

Scale 3043 | Ionayllic | |||

Scale 2659 | Katynimic | |||

Scale 2787 | Zyrian | |||

Scale 2403 | Lycrimic | |||

Scale 3427 | Zacrian | |||

Scale 3939 | Dogyllic | |||

Scale 867 | Phrocrimic | |||

Scale 1891 | Thalian |

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.