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
- Epocrain

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

Pitch Class Set | {0,1,2,5,8,9,11} |

Forte Number | 7-16 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3227 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 4 |

Modes | 6 |

Prime? | no prime: 623 |

Deep Scale | no |

Interval Vector | 435432 |

Interval Spectrum | p^{3}m^{4}n^{5}s^{3}d^{4}t^{2} |

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

Spectra Variation | 2.857 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2855 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3475 | Kylian | ||||

3rd mode: Scale 3785 | Epagian | ||||

4th mode: Scale 985 | Mela Sucaritra | ||||

5th mode: Scale 635 | Epolian | ||||

6th mode: Scale 2365 | Sythian | ||||

7th mode: Scale 1615 | Sydian |

The prime form of this scale is Scale 623

Scale 623 | Sycrian |

The heptatonic modal family [2855, 3475, 3785, 985, 635, 2365, 1615] (Forte: 7-16) is the complement of the pentatonic modal family [155, 865, 1555, 2125, 2825] (Forte: 5-16)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2855 is 3227

Scale 3227 | Aeolocrian |

Only scales that are chiral will have an enantiomorph. Scale 2855 is chiral, and its enantiomorph is scale 3227

Scale 3227 | Aeolocrian |

T_{0} | 2855 | T_{0}I | 3227 | |||||

T_{1} | 1615 | T_{1}I | 2359 | |||||

T_{2} | 3230 | T_{2}I | 623 | |||||

T_{3} | 2365 | T_{3}I | 1246 | |||||

T_{4} | 635 | T_{4}I | 2492 | |||||

T_{5} | 1270 | T_{5}I | 889 | |||||

T_{6} | 2540 | T_{6}I | 1778 | |||||

T_{7} | 985 | T_{7}I | 3556 | |||||

T_{8} | 1970 | T_{8}I | 3017 | |||||

T_{9} | 3940 | T_{9}I | 1939 | |||||

T_{10} | 3785 | T_{10}I | 3878 | |||||

T_{11} | 3475 | T_{11}I | 3661 |

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 2853 | Baptimic | |||

Scale 2851 | Katoptimic | |||

Scale 2859 | Phrycrian | |||

Scale 2863 | Aerogyllic | |||

Scale 2871 | Stanyllic | |||

Scale 2823 | ||||

Scale 2839 | Lyptian | |||

Scale 2887 | Gaptian | |||

Scale 2919 | Molyllic | |||

Scale 2983 | Zythyllic | |||

Scale 2599 | Malimic | |||

Scale 2727 | Mela Manavati | |||

Scale 2343 | Tharimic | |||

Scale 3367 | Moptian | |||

Scale 3879 | Pathyllic | |||

Scale 807 | Raga Suddha Mukhari | |||

Scale 1831 | Pothian |

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.