The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

- Carnatic Raga
- Raga Pilu

- Western Modern
- Full Minor

- Zeitler
- Dathygic

Cardinality | 9 (nonatonic) |
---|---|

Pitch Class Set | {0,2,3,5,7,8,9,10,11} |

Forte Number | 9-7 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1727 |

Hemitonia | 6 (multihemitonic) |

Cohemitonia | 4 (multicohemitonic) |

Imperfections | 2 |

Modes | 8 |

Prime? | no prime: 1471 |

Deep Scale | no |

Interval Vector | 677673 |

Interval Spectrum | p^{7}m^{6}n^{7}s^{7}d^{6}t^{3} |

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

Spectra Variation | 1.778 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 4013 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode: Scale 2027 | Boptygic | ||||

3rd mode: Scale 3061 | Apinygic | ||||

4th mode: Scale 1789 | Blues Enneatonic II | ||||

5th mode: Scale 1471 | Radygic | This is the prime mode | |||

6th mode: Scale 2783 | Gothygic | ||||

7th mode: Scale 3439 | Lythygic | ||||

8th mode: Scale 3767 | Chromatic Bebop | ||||

9th mode: Scale 3931 | Aerygic |

The prime form of this scale is Scale 1471

Scale 1471 | Radygic |

The nonatonic modal family [4013, 2027, 3061, 1789, 1471, 2783, 3439, 3767, 3931] (Forte: 9-7) is the complement of the tritonic modal family [37, 641, 1033] (Forte: 3-7)

The inverse of a scale is a reflection using the root as its axis. The inverse of 4013 is 1727

Scale 1727 | Sydygic |

Only scales that are chiral will have an enantiomorph. Scale 4013 is chiral, and its enantiomorph is scale 1727

Scale 1727 | Sydygic |

T_{0} | 4013 | T_{0}I | 1727 | |||||

T_{1} | 3931 | T_{1}I | 3454 | |||||

T_{2} | 3767 | T_{2}I | 2813 | |||||

T_{3} | 3439 | T_{3}I | 1531 | |||||

T_{4} | 2783 | T_{4}I | 3062 | |||||

T_{5} | 1471 | T_{5}I | 2029 | |||||

T_{6} | 2942 | T_{6}I | 4058 | |||||

T_{7} | 1789 | T_{7}I | 4021 | |||||

T_{8} | 3578 | T_{8}I | 3947 | |||||

T_{9} | 3061 | T_{9}I | 3799 | |||||

T_{10} | 2027 | T_{10}I | 3503 | |||||

T_{11} | 4054 | T_{11}I | 2911 |

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 4015 | Phradyllian | |||

Scale 4009 | Phranyllic | |||

Scale 4011 | Styrygic | |||

Scale 4005 | ||||

Scale 4021 | Raga Pahadi | |||

Scale 4029 | Major/Minor Mixed | |||

Scale 3981 | Phrycryllic | |||

Scale 3997 | Dogygic | |||

Scale 4045 | Gyptygic | |||

Scale 4077 | Gothyllian | |||

Scale 3885 | Styryllic | |||

Scale 3949 | Koptygic | |||

Scale 3757 | Raga Mian Ki Malhar | |||

Scale 3501 | Maqam Nahawand | |||

Scale 2989 | Bebop Minor | |||

Scale 1965 | Raga Mukhari |

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