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 Reva

- Unknown / Unsorted
- Revagupti
- Ramkali
- Vibhas (Bhairava)

- Zeitler
- Daptitonic

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

Pitch Class Set | {0,1,4,7,8} |

Forte Number | 5-22 |

Rotational Symmetry | none |

Reflection Axes | 4 |

Palindromic | no |

Chirality | no |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 4 |

Prime? | yes |

Deep Scale | no |

Interval Vector | 202321 |

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

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

Spectra Variation | 2 |

Maximally Even | no |

Myhill Property | no |

Balanced | yes |

Ridge Tones | [8] |

Propriety | Proper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 403 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 2249 | Raga Multani | ||||

3rd mode: Scale 793 | Mocritonic | ||||

4th mode: Scale 611 | Anchihoye | ||||

5th mode: Scale 2353 | Raga Girija |

This is the prime form of this scale.

The pentatonic modal family [403, 2249, 793, 611, 2353] (Forte: 5-22) is the complement of the heptatonic modal family [871, 923, 1651, 2483, 2509, 2873, 3289] (Forte: 7-22)

The inverse of a scale is a reflection using the root as its axis. The inverse of 403 is 2353

Scale 2353 | Raga Girija |

T_{0} | 403 | T_{0}I | 2353 | |||||

T_{1} | 806 | T_{1}I | 611 | |||||

T_{2} | 1612 | T_{2}I | 1222 | |||||

T_{3} | 3224 | T_{3}I | 2444 | |||||

T_{4} | 2353 | T_{4}I | 793 | |||||

T_{5} | 611 | T_{5}I | 1586 | |||||

T_{6} | 1222 | T_{6}I | 3172 | |||||

T_{7} | 2444 | T_{7}I | 2249 | |||||

T_{8} | 793 | T_{8}I | 403 | |||||

T_{9} | 1586 | T_{9}I | 806 | |||||

T_{10} | 3172 | T_{10}I | 1612 | |||||

T_{11} | 2249 | T_{11}I | 3224 |

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 401 | Epogic | |||

Scale 405 | Raga Bhupeshwari | |||

Scale 407 | Zylimic | |||

Scale 411 | Lygimic | |||

Scale 387 | ||||

Scale 395 | Phrygian Pentatonic | |||

Scale 419 | Hon-kumoi-joshi | |||

Scale 435 | Raga Purna Pancama | |||

Scale 467 | Raga Dhavalangam | |||

Scale 275 | Dalic | |||

Scale 339 | Zaptitonic | |||

Scale 147 | ||||

Scale 659 | Raga Rasika Ranjani | |||

Scale 915 | Raga Kalagada | |||

Scale 1427 | Lolimic | |||

Scale 2451 | Raga Bauli |

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.