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. 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
- Sadian

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

Pitch Class Set | {0,1,2,3,4,7,10} |

Forte Number | 7-10 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3877 |

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 | no |

Modes are the rotational transformation of this scale. Scale 1183 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2639 | Dothian | ||||

3rd mode: Scale 3367 | Moptian | ||||

4th mode: Scale 3731 | Aeryrian | ||||

5th mode: Scale 3913 | Bonian | ||||

6th mode: Scale 1001 | Badian | ||||

7th mode: Scale 637 | Debussy's Heptatonic |

The prime form of this scale is Scale 607

Scale 607 | Kadian |

The heptatonic modal family [1183, 2639, 3367, 3731, 3913, 1001, 637] (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 1183 is 3877

Scale 3877 | Thanian |

Only scales that are chiral will have an enantiomorph. Scale 1183 is chiral, and its enantiomorph is scale 3877

Scale 3877 | Thanian |

T_{0} | 1183 | T_{0}I | 3877 | |||||

T_{1} | 2366 | T_{1}I | 3659 | |||||

T_{2} | 637 | T_{2}I | 3223 | |||||

T_{3} | 1274 | T_{3}I | 2351 | |||||

T_{4} | 2548 | T_{4}I | 607 | |||||

T_{5} | 1001 | T_{5}I | 1214 | |||||

T_{6} | 2002 | T_{6}I | 2428 | |||||

T_{7} | 4004 | T_{7}I | 761 | |||||

T_{8} | 3913 | T_{8}I | 1522 | |||||

T_{9} | 3731 | T_{9}I | 3044 | |||||

T_{10} | 3367 | T_{10}I | 1993 | |||||

T_{11} | 2639 | T_{11}I | 3986 |

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 1181 | Katagimic | |||

Scale 1179 | Sonimic | |||

Scale 1175 | Epycrimic | |||

Scale 1167 | Aerodimic | |||

Scale 1199 | Magian | |||

Scale 1215 | ||||

Scale 1247 | Aeodyllic | |||

Scale 1055 | ||||

Scale 1119 | Rarian | |||

Scale 1311 | Bynian | |||

Scale 1439 | Rolyllic | |||

Scale 1695 | Phrodyllic | |||

Scale 159 | ||||

Scale 671 | Stycrian | |||

Scale 2207 | Mygian | |||

Scale 3231 | Kataptyllic |

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.