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).

- Carnatic Raga
- Raga Nalinakanti

- Unknown / Unsorted
- Kedaram
- Vilasini

- Zeitler
- Ionyptimic

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

Pitch Class Set | {0,2,4,5,7,11} |

Forte Number | 6-Z25 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1443 |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 2 |

Modes | 5 |

Prime? | no prime: 363 |

Deep Scale | no |

Interval Vector | 233241 |

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

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

Spectra Variation | 2.333 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2229 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 1581 | Raga Bagesri | ||||

3rd mode: Scale 1419 | Raga Kashyapi | ||||

4th mode: Scale 2757 | Raga Nishadi | ||||

5th mode: Scale 1713 | Raga Khamas | ||||

6th mode: Scale 363 | Soptimic | This is the prime mode |

The prime form of this scale is Scale 363

Scale 363 | Soptimic |

The hexatonic modal family [2229, 1581, 1419, 2757, 1713, 363] (Forte: 6-Z25) is the complement of the hexatonic modal family [663, 741, 1209, 1833, 2379, 3237] (Forte: 6-Z47)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2229 is 1443

Scale 1443 | Raga Phenadyuti |

Only scales that are chiral will have an enantiomorph. Scale 2229 is chiral, and its enantiomorph is scale 1443

Scale 1443 | Raga Phenadyuti |

T_{0} | 2229 | T_{0}I | 1443 | |||||

T_{1} | 363 | T_{1}I | 2886 | |||||

T_{2} | 726 | T_{2}I | 1677 | |||||

T_{3} | 1452 | T_{3}I | 3354 | |||||

T_{4} | 2904 | T_{4}I | 2613 | |||||

T_{5} | 1713 | T_{5}I | 1131 | |||||

T_{6} | 3426 | T_{6}I | 2262 | |||||

T_{7} | 2757 | T_{7}I | 429 | |||||

T_{8} | 1419 | T_{8}I | 858 | |||||

T_{9} | 2838 | T_{9}I | 1716 | |||||

T_{10} | 1581 | T_{10}I | 3432 | |||||

T_{11} | 3162 | T_{11}I | 2769 |

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 2231 | Macrian | |||

Scale 2225 | Ionian Pentatonic | |||

Scale 2227 | Raga Gaula | |||

Scale 2233 | Donimic | |||

Scale 2237 | Epothian | |||

Scale 2213 | Raga Desh | |||

Scale 2221 | Raga Sindhura Kafi | |||

Scale 2197 | Raga Hamsadhvani | |||

Scale 2261 | Raga Caturangini | |||

Scale 2293 | Gorian | |||

Scale 2101 | ||||

Scale 2165 | ||||

Scale 2357 | Raga Sarasanana | |||

Scale 2485 | Harmonic Major | |||

Scale 2741 | Major | |||

Scale 3253 | Mela Naganandini | |||

Scale 181 | Raga Budhamanohari | |||

Scale 1205 | Raga Siva Kambhoji |

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.