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- Zeitler
- Phroptygic

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

Pitch Class Set | {0,1,2,3,4,6,7,10,11} |

Forte Number | 9-3 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3943 |

Hemitonia | 7 (multihemitonic) |

Cohemitonia | 5 (multicohemitonic) |

Imperfections | 3 |

Modes | 8 |

Prime? | no prime: 895 |

Deep Scale | no |

Interval Vector | 767763 |

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

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

Spectra Variation | 2.222 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3295 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode: Scale 3695 | Kodygic | ||||

3rd mode: Scale 3895 | Eparygic | ||||

4th mode: Scale 3995 | Ionygic | ||||

5th mode: Scale 4045 | Gyptygic | ||||

6th mode: Scale 2035 | Aerythygic | ||||

7th mode: Scale 3065 | Zothygic | ||||

8th mode: Scale 895 | Aeolathygic | This is the prime mode | |||

9th mode: Scale 2495 | Aeolocrygic |

The prime form of this scale is Scale 895

Scale 895 | Aeolathygic |

The nonatonic modal family [3295, 3695, 3895, 3995, 4045, 2035, 3065, 895, 2495] (Forte: 9-3) is the complement of the tritonic modal family [19, 769, 2057] (Forte: 3-3)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3295 is 3943

Scale 3943 | Zynygic |

Only scales that are chiral will have an enantiomorph. Scale 3295 is chiral, and its enantiomorph is scale 3943

Scale 3943 | Zynygic |

T_{0} | 3295 | T_{0}I | 3943 | |||||

T_{1} | 2495 | T_{1}I | 3791 | |||||

T_{2} | 895 | T_{2}I | 3487 | |||||

T_{3} | 1790 | T_{3}I | 2879 | |||||

T_{4} | 3580 | T_{4}I | 1663 | |||||

T_{5} | 3065 | T_{5}I | 3326 | |||||

T_{6} | 2035 | T_{6}I | 2557 | |||||

T_{7} | 4070 | T_{7}I | 1019 | |||||

T_{8} | 4045 | T_{8}I | 2038 | |||||

T_{9} | 3995 | T_{9}I | 4076 | |||||

T_{10} | 3895 | T_{10}I | 4057 | |||||

T_{11} | 3695 | T_{11}I | 4019 |

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 3293 | Saryllic | |||

Scale 3291 | Lygyllic | |||

Scale 3287 | Phrathyllic | |||

Scale 3279 | Pythyllic | |||

Scale 3311 | Mixodygic | |||

Scale 3327 | Madyllian | |||

Scale 3231 | Kataptyllic | |||

Scale 3263 | Pyrygic | |||

Scale 3167 | Thynyllic | |||

Scale 3423 | Lothygic | |||

Scale 3551 | Sagyllian | |||

Scale 3807 | Bagyllian | |||

Scale 2271 | Poptyllic | |||

Scale 2783 | Gothygic | |||

Scale 1247 | Aeodyllic |

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