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
- Katagitonic

Cardinality | 5 (pentatonic) |
---|---|

Pitch Class Set | {0,3,7,9,11} |

Forte Number | 5-26 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 555 |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 4 |

Prime? | no prime: 309 |

Deep Scale | no |

Interval Vector | 122311 |

Interval Spectrum | pm^{3}n^{2}s^{2}dt |

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

Spectra Variation | 2.8 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2697 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 849 | Aerynitonic | ||||

3rd mode: Scale 309 | Palitonic | This is the prime mode | |||

4th mode: Scale 1101 | Stothitonic | ||||

5th mode: Scale 1299 | Aerophitonic |

The prime form of this scale is Scale 309

Scale 309 | Palitonic |

The pentatonic modal family [2697, 849, 309, 1101, 1299] (Forte: 5-26) is the complement of the heptatonic modal family [699, 1497, 1623, 1893, 2397, 2859, 3477] (Forte: 7-26)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2697 is 555

Scale 555 | Aeolycritonic |

Only scales that are chiral will have an enantiomorph. Scale 2697 is chiral, and its enantiomorph is scale 555

Scale 555 | Aeolycritonic |

T_{0} | 2697 | T_{0}I | 555 | |||||

T_{1} | 1299 | T_{1}I | 1110 | |||||

T_{2} | 2598 | T_{2}I | 2220 | |||||

T_{3} | 1101 | T_{3}I | 345 | |||||

T_{4} | 2202 | T_{4}I | 690 | |||||

T_{5} | 309 | T_{5}I | 1380 | |||||

T_{6} | 618 | T_{6}I | 2760 | |||||

T_{7} | 1236 | T_{7}I | 1425 | |||||

T_{8} | 2472 | T_{8}I | 2850 | |||||

T_{9} | 849 | T_{9}I | 1605 | |||||

T_{10} | 1698 | T_{10}I | 3210 | |||||

T_{11} | 3396 | T_{11}I | 2325 |

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 2699 | Sythimic | |||

Scale 2701 | Hawaiian | |||

Scale 2689 | ||||

Scale 2693 | ||||

Scale 2705 | Raga Mamata | |||

Scale 2713 | Porimic | |||

Scale 2729 | Aeragimic | |||

Scale 2761 | Dagimic | |||

Scale 2569 | ||||

Scale 2633 | Mixitonic | |||

Scale 2825 | ||||

Scale 2953 | Ionylimic | |||

Scale 2185 | Dygic | |||

Scale 2441 | Kyritonic | |||

Scale 3209 | Aeraphitonic | |||

Scale 3721 | Phragimic | |||

Scale 649 | Byptic | |||

Scale 1673 | Thocritonic |

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.