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- Zeitler
- Ryptygic

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

Pitch Class Set | {0,1,3,5,6,8,9,10,11} |

Forte Number | 9-7 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2783 |

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 3947 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode: Scale 4021 | Raga Pahadi | ||||

3rd mode: Scale 2029 | Kiourdi | ||||

4th mode: Scale 1531 | Styptygic | ||||

5th mode: Scale 2813 | Zolygic | ||||

6th mode: Scale 1727 | Sydygic | ||||

7th mode: Scale 2911 | Katygic | ||||

8th mode: Scale 3503 | Zyphygic | ||||

9th mode: Scale 3799 | Aeralygic |

The prime form of this scale is Scale 1471

Scale 1471 | Radygic |

The nonatonic modal family [3947, 4021, 2029, 1531, 2813, 1727, 2911, 3503, 3799] (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 3947 is 2783

Scale 2783 | Gothygic |

Only scales that are chiral will have an enantiomorph. Scale 3947 is chiral, and its enantiomorph is scale 2783

Scale 2783 | Gothygic |

T_{0} | 3947 | T_{0}I | 2783 | |||||

T_{1} | 3799 | T_{1}I | 1471 | |||||

T_{2} | 3503 | T_{2}I | 2942 | |||||

T_{3} | 2911 | T_{3}I | 1789 | |||||

T_{4} | 1727 | T_{4}I | 3578 | |||||

T_{5} | 3454 | T_{5}I | 3061 | |||||

T_{6} | 2813 | T_{6}I | 2027 | |||||

T_{7} | 1531 | T_{7}I | 4054 | |||||

T_{8} | 3062 | T_{8}I | 4013 | |||||

T_{9} | 2029 | T_{9}I | 3931 | |||||

T_{10} | 4058 | T_{10}I | 3767 | |||||

T_{11} | 4021 | T_{11}I | 3439 |

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 3945 | Lydyllic | |||

Scale 3949 | Koptygic | |||

Scale 3951 | Mathyllian | |||

Scale 3939 | Dogyllic | |||

Scale 3943 | Zynygic | |||

Scale 3955 | Pothygic | |||

Scale 3963 | Aeoryllian | |||

Scale 3915 | ||||

Scale 3931 | Aerygic | |||

Scale 3883 | Kyryllic | |||

Scale 4011 | Styrygic | |||

Scale 4075 | Katyllian | |||

Scale 3691 | Badyllic | |||

Scale 3819 | Aeolanygic | |||

Scale 3435 | Prokofiev | |||

Scale 2923 | Baryllic | |||

Scale 1899 | Moptyllic |

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