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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.

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
- Dorimic

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

Pitch Class Set | {0,1,3,4,7,11} |

Forte Number | 6-15 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2851 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 4 |

Modes | 5 |

Prime? | no prime: 311 |

Deep Scale | no |

Interval Vector | 323421 |

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

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

Spectra Variation | 3.333 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2203 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 3149 | Phrycrimic | ||||

3rd mode: Scale 1811 | Kyptimic | ||||

4th mode: Scale 2953 | Ionylimic | ||||

5th mode: Scale 881 | Aerothimic | ||||

6th mode: Scale 311 | Stagimic | This is the prime mode |

The prime form of this scale is Scale 311

Scale 311 | Stagimic |

The hexatonic modal family [2203, 3149, 1811, 2953, 881, 311] (Forte: 6-15) is the complement of the hexatonic modal family [311, 881, 1811, 2203, 2953, 3149] (Forte: 6-15)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2203 is 2851

Scale 2851 | Katoptimic |

Only scales that are chiral will have an enantiomorph. Scale 2203 is chiral, and its enantiomorph is scale 2851

Scale 2851 | Katoptimic |

T_{0} | 2203 | T_{0}I | 2851 | |||||

T_{1} | 311 | T_{1}I | 1607 | |||||

T_{2} | 622 | T_{2}I | 3214 | |||||

T_{3} | 1244 | T_{3}I | 2333 | |||||

T_{4} | 2488 | T_{4}I | 571 | |||||

T_{5} | 881 | T_{5}I | 1142 | |||||

T_{6} | 1762 | T_{6}I | 2284 | |||||

T_{7} | 3524 | T_{7}I | 473 | |||||

T_{8} | 2953 | T_{8}I | 946 | |||||

T_{9} | 1811 | T_{9}I | 1892 | |||||

T_{10} | 3622 | T_{10}I | 3784 | |||||

T_{11} | 3149 | T_{11}I | 3473 |

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 2201 | Ionagitonic | |||

Scale 2205 | Ionocrimic | |||

Scale 2207 | Mygian | |||

Scale 2195 | Zalitonic | |||

Scale 2199 | Dyptimic | |||

Scale 2187 | Ionothitonic | |||

Scale 2219 | Phrydimic | |||

Scale 2235 | Bathian | |||

Scale 2267 | Padian | |||

Scale 2075 | ||||

Scale 2139 | ||||

Scale 2331 | Dylimic | |||

Scale 2459 | Ionocrian | |||

Scale 2715 | Kynian | |||

Scale 3227 | Aeolocrian | |||

Scale 155 | ||||

Scale 1179 | Sonimic |

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