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 Audav Tukhari

- Zeitler
- Zythitonic

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

Pitch Class Set | {0,2,3,5,8} |

Forte Number | 5-25 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1681 |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 4 |

Prime? | yes |

Deep Scale | no |

Interval Vector | 123121 |

Interval Spectrum | p^{2}mn^{3}s^{2}dt |

Distribution Spectra | <1> = {1,2,3,4} <2> = {3,5,6,7} <3> = {5,6,7,9} <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 301 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 1099 | Dyritonic | ||||

3rd mode: Scale 2597 | Raga Rasranjani | ||||

4th mode: Scale 1673 | Thocritonic | ||||

5th mode: Scale 721 | Raga Dhavalashri |

This is the prime form of this scale.

The pentatonic modal family [301, 1099, 2597, 1673, 721] (Forte: 5-25) is the complement of the heptatonic modal family [733, 1207, 1769, 1867, 2651, 2981, 3373] (Forte: 7-25)

The inverse of a scale is a reflection using the root as its axis. The inverse of 301 is 1681

Scale 1681 | Raga Valaji |

Only scales that are chiral will have an enantiomorph. Scale 301 is chiral, and its enantiomorph is scale 1681

Scale 1681 | Raga Valaji |

T_{0} | 301 | T_{0}I | 1681 | |||||

T_{1} | 602 | T_{1}I | 3362 | |||||

T_{2} | 1204 | T_{2}I | 2629 | |||||

T_{3} | 2408 | T_{3}I | 1163 | |||||

T_{4} | 721 | T_{4}I | 2326 | |||||

T_{5} | 1442 | T_{5}I | 557 | |||||

T_{6} | 2884 | T_{6}I | 1114 | |||||

T_{7} | 1673 | T_{7}I | 2228 | |||||

T_{8} | 3346 | T_{8}I | 361 | |||||

T_{9} | 2597 | T_{9}I | 722 | |||||

T_{10} | 1099 | T_{10}I | 1444 | |||||

T_{11} | 2198 | T_{11}I | 2888 |

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 303 | Golimic | |||

Scale 297 | Mynic | |||

Scale 299 | Raga Chitthakarshini | |||

Scale 293 | Raga Haripriya | |||

Scale 309 | Palitonic | |||

Scale 317 | Korimic | |||

Scale 269 | ||||

Scale 285 | Zaritonic | |||

Scale 333 | Bogitonic | |||

Scale 365 | Marimic | |||

Scale 429 | Koptimic | |||

Scale 45 | ||||

Scale 173 | Raga Purnalalita | |||

Scale 557 | Raga Abhogi | |||

Scale 813 | Larimic | |||

Scale 1325 | Phradimic | |||

Scale 2349 | Raga Ghantana |

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.