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
- Gynian

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

Pitch Class Set | {0,1,2,3,5,8,11} |

Forte Number | 7-10 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3731 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 3 (tricohemitonic) |

Imperfections | 4 |

Modes | 6 |

Prime? | no prime: 607 |

Deep Scale | no |

Interval Vector | 445332 |

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

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

Spectra Variation | 3.143 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2351 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3223 | Thyphian | ||||

3rd mode: Scale 3659 | Polian | ||||

4th mode: Scale 3877 | Thanian | ||||

5th mode: Scale 1993 | Katoptian | ||||

6th mode: Scale 761 | Ponian | ||||

7th mode: Scale 607 | Kadian | This is the prime mode |

The prime form of this scale is Scale 607

Scale 607 | Kadian |

The heptatonic modal family [2351, 3223, 3659, 3877, 1993, 761, 607] (Forte: 7-10) is the complement of the pentatonic modal family [91, 1547, 1729, 2093, 2821] (Forte: 5-10)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2351 is 3731

Scale 3731 | Aeryrian |

Only scales that are chiral will have an enantiomorph. Scale 2351 is chiral, and its enantiomorph is scale 3731

Scale 3731 | Aeryrian |

T_{0} | 2351 | T_{0}I | 3731 | |||||

T_{1} | 607 | T_{1}I | 3367 | |||||

T_{2} | 1214 | T_{2}I | 2639 | |||||

T_{3} | 2428 | T_{3}I | 1183 | |||||

T_{4} | 761 | T_{4}I | 2366 | |||||

T_{5} | 1522 | T_{5}I | 637 | |||||

T_{6} | 3044 | T_{6}I | 1274 | |||||

T_{7} | 1993 | T_{7}I | 2548 | |||||

T_{8} | 3986 | T_{8}I | 1001 | |||||

T_{9} | 3877 | T_{9}I | 2002 | |||||

T_{10} | 3659 | T_{10}I | 4004 | |||||

T_{11} | 3223 | T_{11}I | 3913 |

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 2349 | Raga Ghantana | |||

Scale 2347 | Raga Viyogavarali | |||

Scale 2343 | Tharimic | |||

Scale 2359 | Gadian | |||

Scale 2367 | Laryllic | |||

Scale 2319 | ||||

Scale 2335 | Epydian | |||

Scale 2383 | Katorian | |||

Scale 2415 | Lothyllic | |||

Scale 2479 | Harmonic and Neapolitan Minor Mixed | |||

Scale 2095 | ||||

Scale 2223 | Konian | |||

Scale 2607 | Aerolian | |||

Scale 2863 | Aerogyllic | |||

Scale 3375 | ||||

Scale 303 | Golimic | |||

Scale 1327 | Zalian |

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.