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
- Zolian

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

Pitch Class Set | {0,2,5,6,7,9,11} |

Forte Number | 7-29 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1259 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 2 |

Modes | 6 |

Prime? | no prime: 727 |

Deep Scale | no |

Interval Vector | 344352 |

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

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

Spectra Variation | 2 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2789 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 1721 | Mela Vagadhisvari | ||||

3rd mode: Scale 727 | Phradian | This is the prime mode | |||

4th mode: Scale 2411 | Aeolorian | ||||

5th mode: Scale 3253 | Mela Naganandini | ||||

6th mode: Scale 1837 | Dalian | ||||

7th mode: Scale 1483 | Mela Bhavapriya |

The prime form of this scale is Scale 727

Scale 727 | Phradian |

The heptatonic modal family [2789, 1721, 727, 2411, 3253, 1837, 1483] (Forte: 7-29) is the complement of the pentatonic modal family [331, 709, 1201, 1577, 2213] (Forte: 5-29)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2789 is 1259

Scale 1259 | Stadian |

Only scales that are chiral will have an enantiomorph. Scale 2789 is chiral, and its enantiomorph is scale 1259

Scale 1259 | Stadian |

T_{0} | 2789 | T_{0}I | 1259 | |||||

T_{1} | 1483 | T_{1}I | 2518 | |||||

T_{2} | 2966 | T_{2}I | 941 | |||||

T_{3} | 1837 | T_{3}I | 1882 | |||||

T_{4} | 3674 | T_{4}I | 3764 | |||||

T_{5} | 3253 | T_{5}I | 3433 | |||||

T_{6} | 2411 | T_{6}I | 2771 | |||||

T_{7} | 727 | T_{7}I | 1447 | |||||

T_{8} | 1454 | T_{8}I | 2894 | |||||

T_{9} | 2908 | T_{9}I | 1693 | |||||

T_{10} | 1721 | T_{10}I | 3386 | |||||

T_{11} | 3442 | T_{11}I | 2677 |

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 2791 | Mixothyllic | |||

Scale 2785 | ||||

Scale 2787 | Zyrian | |||

Scale 2793 | Eporian | |||

Scale 2797 | Stalyllic | |||

Scale 2805 | Ishikotsucho | |||

Scale 2757 | Raga Nishadi | |||

Scale 2773 | Lydian | |||

Scale 2725 | Raga Nagagandhari | |||

Scale 2661 | Stydimic | |||

Scale 2917 | Nohkan Flute Scale | |||

Scale 3045 | Raptyllic | |||

Scale 2277 | Kagimic | |||

Scale 2533 | Podian | |||

Scale 3301 | Chromatic Mixolydian Inverse | |||

Scale 3813 | Aeologyllic | |||

Scale 741 | Gathimic | |||

Scale 1765 | Lonian |

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.