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
- Epydian

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

Pitch Class Set | {0,1,2,3,4,8,11} |

Forte Number | 7-3 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3859 |

Hemitonia | 5 (multihemitonic) |

Cohemitonia | 4 (multicohemitonic) |

Imperfections | 4 |

Modes | 6 |

Prime? | no prime: 319 |

Deep Scale | no |

Interval Vector | 544431 |

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

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

Spectra Variation | 3.714 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2335 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3215 | Katydian | ||||

3rd mode: Scale 3655 | Mathian | ||||

4th mode: Scale 3875 | Aeryptian | ||||

5th mode: Scale 3985 | Thadian | ||||

6th mode: Scale 505 | Sanian | ||||

7th mode: Scale 575 | Ionydian |

The prime form of this scale is Scale 319

Scale 319 | Epodian |

The heptatonic modal family [2335, 3215, 3655, 3875, 3985, 505, 575] (Forte: 7-3) is the complement of the pentatonic modal family [55, 1795, 2075, 2945, 3085] (Forte: 5-3)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2335 is 3859

Scale 3859 | Aeolarian |

Only scales that are chiral will have an enantiomorph. Scale 2335 is chiral, and its enantiomorph is scale 3859

Scale 3859 | Aeolarian |

T_{0} | 2335 | T_{0}I | 3859 | |||||

T_{1} | 575 | T_{1}I | 3623 | |||||

T_{2} | 1150 | T_{2}I | 3151 | |||||

T_{3} | 2300 | T_{3}I | 2207 | |||||

T_{4} | 505 | T_{4}I | 319 | |||||

T_{5} | 1010 | T_{5}I | 638 | |||||

T_{6} | 2020 | T_{6}I | 1276 | |||||

T_{7} | 4040 | T_{7}I | 2552 | |||||

T_{8} | 3985 | T_{8}I | 1009 | |||||

T_{9} | 3875 | T_{9}I | 2018 | |||||

T_{10} | 3655 | T_{10}I | 4036 | |||||

T_{11} | 3215 | T_{11}I | 3977 |

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 2333 | Stynimic | |||

Scale 2331 | Dylimic | |||

Scale 2327 | Epalimic | |||

Scale 2319 | ||||

Scale 2351 | Gynian | |||

Scale 2367 | Laryllic | |||

Scale 2399 | Zanyllic | |||

Scale 2463 | Ionathyllic | |||

Scale 2079 | ||||

Scale 2207 | Mygian | |||

Scale 2591 | ||||

Scale 2847 | Phracryllic | |||

Scale 3359 | Bonyllic | |||

Scale 287 | Gynimic | |||

Scale 1311 | Bynian |

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.