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.

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
- Gadian

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

Pitch Class Set | {0,1,2,4,5,8,11} |

Forte Number | 7-16 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3475 |

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 |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2359 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3227 | Aeolocrian | ||||

3rd mode: Scale 3661 | Mixodorian | ||||

4th mode: Scale 1939 | Dathian | ||||

5th mode: Scale 3017 | Gacrian | ||||

6th mode: Scale 889 | Borian | ||||

7th mode: Scale 623 | Sycrian | This is the prime mode |

The prime form of this scale is Scale 623

Scale 623 | Sycrian |

The heptatonic modal family [2359, 3227, 3661, 1939, 3017, 889, 623] (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 2359 is 3475

Scale 3475 | Kylian |

Only scales that are chiral will have an enantiomorph. Scale 2359 is chiral, and its enantiomorph is scale 3475

Scale 3475 | Kylian |

T_{0} | 2359 | T_{0}I | 3475 | |||||

T_{1} | 623 | T_{1}I | 2855 | |||||

T_{2} | 1246 | T_{2}I | 1615 | |||||

T_{3} | 2492 | T_{3}I | 3230 | |||||

T_{4} | 889 | T_{4}I | 2365 | |||||

T_{5} | 1778 | T_{5}I | 635 | |||||

T_{6} | 3556 | T_{6}I | 1270 | |||||

T_{7} | 3017 | T_{7}I | 2540 | |||||

T_{8} | 1939 | T_{8}I | 985 | |||||

T_{9} | 3878 | T_{9}I | 1970 | |||||

T_{10} | 3661 | T_{10}I | 3940 | |||||

T_{11} | 3227 | T_{11}I | 3785 |

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 2357 | Raga Sarasanana | |||

Scale 2355 | Raga Lalita | |||

Scale 2363 | Kataptian | |||

Scale 2367 | Laryllic | |||

Scale 2343 | Tharimic | |||

Scale 2351 | Gynian | |||

Scale 2327 | Epalimic | |||

Scale 2391 | Molian | |||

Scale 2423 | ||||

Scale 2487 | Dothyllic | |||

Scale 2103 | ||||

Scale 2231 | Macrian | |||

Scale 2615 | Thoptian | |||

Scale 2871 | Stanyllic | |||

Scale 3383 | Zoptyllic | |||

Scale 311 | Stagimic | |||

Scale 1335 | Elephant Scale |

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