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
- Palitonic

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

Pitch Class Set | {0,2,4,5,8} |

Forte Number | 5-26 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1425 |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 4 |

Prime? | yes |

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 |

Maximal Area Set | no |

Interior Area | 2.049 |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 309 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 1101 | Stothitonic | ||||

3rd mode: Scale 1299 | Aerophitonic | ||||

4th mode: Scale 2697 | Katagitonic | ||||

5th mode: Scale 849 | Aerynitonic |

This is the prime form of this scale.

The pentatonic modal family [309, 1101, 1299, 2697, 849] (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 309 is 1425

Scale 1425 | Ryphitonic |

Only scales that are chiral will have an enantiomorph. Scale 309 is chiral, and its enantiomorph is scale 1425

Scale 1425 | Ryphitonic |

T_{0} | 309 | T_{0}I | 1425 | |||||

T_{1} | 618 | T_{1}I | 2850 | |||||

T_{2} | 1236 | T_{2}I | 1605 | |||||

T_{3} | 2472 | T_{3}I | 3210 | |||||

T_{4} | 849 | T_{4}I | 2325 | |||||

T_{5} | 1698 | T_{5}I | 555 | |||||

T_{6} | 3396 | T_{6}I | 1110 | |||||

T_{7} | 2697 | T_{7}I | 2220 | |||||

T_{8} | 1299 | T_{8}I | 345 | |||||

T_{9} | 2598 | T_{9}I | 690 | |||||

T_{10} | 1101 | T_{10}I | 1380 | |||||

T_{11} | 2202 | T_{11}I | 2760 |

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 311 | Stagimic | |||

Scale 305 | Gonic | |||

Scale 307 | Raga Megharanjani | |||

Scale 313 | Goritonic | |||

Scale 317 | Korimic | |||

Scale 293 | Raga Haripriya | |||

Scale 301 | Raga Audav Tukhari | |||

Scale 277 | Mixolyric | |||

Scale 341 | Bothitonic | |||

Scale 373 | Epagimic | |||

Scale 437 | Ronimic | |||

Scale 53 | ||||

Scale 181 | Raga Budhamanohari | |||

Scale 565 | Aeolyphritonic | |||

Scale 821 | Aeranimic | |||

Scale 1333 | Lyptimic | |||

Scale 2357 | Raga Sarasanana |

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.