The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

- Zeitler
- Koptimic

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

Pitch Class Set | {0,2,3,5,7,8} |

Forte Number | 6-Z25 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1713 |

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 |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 429 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 1131 | Honchoshi Plagal Form | ||||

3rd mode: Scale 2613 | Raga Hamsa Vinodini | ||||

4th mode: Scale 1677 | Raga Manavi | ||||

5th mode: Scale 1443 | Raga Phenadyuti | ||||

6th mode: Scale 2769 | Dyrimic |

The prime form of this scale is Scale 363

Scale 363 | Soptimic |

The hexatonic modal family [429, 1131, 2613, 1677, 1443, 2769] (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 429 is 1713

Scale 1713 | Raga Khamas |

Only scales that are chiral will have an enantiomorph. Scale 429 is chiral, and its enantiomorph is scale 1713

Scale 1713 | Raga Khamas |

T_{0} | 429 | T_{0}I | 1713 | |||||

T_{1} | 858 | T_{1}I | 3426 | |||||

T_{2} | 1716 | T_{2}I | 2757 | |||||

T_{3} | 3432 | T_{3}I | 1419 | |||||

T_{4} | 2769 | T_{4}I | 2838 | |||||

T_{5} | 1443 | T_{5}I | 1581 | |||||

T_{6} | 2886 | T_{6}I | 3162 | |||||

T_{7} | 1677 | T_{7}I | 2229 | |||||

T_{8} | 3354 | T_{8}I | 363 | |||||

T_{9} | 2613 | T_{9}I | 726 | |||||

T_{10} | 1131 | T_{10}I | 1452 | |||||

T_{11} | 2262 | T_{11}I | 2904 |

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 431 | Epyrian | |||

Scale 425 | Raga Kokil Pancham | |||

Scale 427 | Raga Suddha Simantini | |||

Scale 421 | Han-kumoi | |||

Scale 437 | Ronimic | |||

Scale 445 | Gocrian | |||

Scale 397 | Aeolian Pentatonic | |||

Scale 413 | Ganimic | |||

Scale 461 | Raga Syamalam | |||

Scale 493 | Rygian | |||

Scale 301 | Raga Audav Tukhari | |||

Scale 365 | Marimic | |||

Scale 173 | Raga Purnalalita | |||

Scale 685 | Raga Suddha Bangala | |||

Scale 941 | Mela Jhankaradhvani | |||

Scale 1453 | Aeolian | |||

Scale 2477 | Harmonic Minor |

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. Bibliography