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
- Malimic

Cardinality | 6 (hexatonic) |
---|---|

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

Forte Number | 6-Z39 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3211 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 4 |

Modes | 5 |

Prime? | no prime: 317 |

Deep Scale | no |

Interval Vector | 333321 |

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

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

Spectra Variation | 3.667 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2599 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 3347 | Synimic | ||||

3rd mode: Scale 3721 | Phragimic | ||||

4th mode: Scale 977 | Kocrimic | ||||

5th mode: Scale 317 | Korimic | This is the prime mode | |||

6th mode: Scale 1103 | Lynimic |

The prime form of this scale is Scale 317

Scale 317 | Korimic |

The hexatonic modal family [2599, 3347, 3721, 977, 317, 1103] (Forte: 6-Z39) is the complement of the hexatonic modal family [187, 1559, 1889, 2141, 2827, 3461] (Forte: 6-Z10)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2599 is 3211

Scale 3211 | Epacrimic |

Only scales that are chiral will have an enantiomorph. Scale 2599 is chiral, and its enantiomorph is scale 3211

Scale 3211 | Epacrimic |

T_{0} | 2599 | T_{0}I | 3211 | |||||

T_{1} | 1103 | T_{1}I | 2327 | |||||

T_{2} | 2206 | T_{2}I | 559 | |||||

T_{3} | 317 | T_{3}I | 1118 | |||||

T_{4} | 634 | T_{4}I | 2236 | |||||

T_{5} | 1268 | T_{5}I | 377 | |||||

T_{6} | 2536 | T_{6}I | 754 | |||||

T_{7} | 977 | T_{7}I | 1508 | |||||

T_{8} | 1954 | T_{8}I | 3016 | |||||

T_{9} | 3908 | T_{9}I | 1937 | |||||

T_{10} | 3721 | T_{10}I | 3874 | |||||

T_{11} | 3347 | T_{11}I | 3653 |

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 2597 | Raga Rasranjani | |||

Scale 2595 | Rolitonic | |||

Scale 2603 | Gadimic | |||

Scale 2607 | Aerolian | |||

Scale 2615 | Thoptian | |||

Scale 2567 | ||||

Scale 2583 | ||||

Scale 2631 | Macrimic | |||

Scale 2663 | Lalian | |||

Scale 2727 | Mela Manavati | |||

Scale 2855 | Epocrain | |||

Scale 2087 | ||||

Scale 2343 | Tharimic | |||

Scale 3111 | ||||

Scale 3623 | Aerocrian | |||

Scale 551 | Aeoloditonic | |||

Scale 1575 | Zycrimic |

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.