The Exciting Universe Of Music Theory

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- Zeitler
- Thorian

Cardinality | 7 (heptatonic) |
---|---|

Pitch Class Set | {0,1,3,7,8,9,11} |

Forte Number | 7-13 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2619 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 4 |

Modes | 6 |

Prime? | no prime: 375 |

Deep Scale | no |

Interval Vector | 443532 |

Interval Spectrum | p^{3}m^{5}n^{3}s^{4}d^{4}t^{2} |

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

Spectra Variation | 2.857 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2955 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3525 | Zocrian | ||||

3rd mode: Scale 1905 | Katacrian | ||||

4th mode: Scale 375 | Sodian | This is the prime mode | |||

5th mode: Scale 2235 | Bathian | ||||

6th mode: Scale 3165 | Mylian | ||||

7th mode: Scale 1815 | Godian |

The prime form of this scale is Scale 375

Scale 375 | Sodian |

The heptatonic modal family [2955, 3525, 1905, 375, 2235, 3165, 1815] (Forte: 7-13) is the complement of the pentatonic modal family [279, 369, 1809, 2187, 3141] (Forte: 5-13)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2955 is 2619

Scale 2619 | Ionyrian |

Only scales that are chiral will have an enantiomorph. Scale 2955 is chiral, and its enantiomorph is scale 2619

Scale 2619 | Ionyrian |

T_{0} | 2955 | T_{0}I | 2619 | |||||

T_{1} | 1815 | T_{1}I | 1143 | |||||

T_{2} | 3630 | T_{2}I | 2286 | |||||

T_{3} | 3165 | T_{3}I | 477 | |||||

T_{4} | 2235 | T_{4}I | 954 | |||||

T_{5} | 375 | T_{5}I | 1908 | |||||

T_{6} | 750 | T_{6}I | 3816 | |||||

T_{7} | 1500 | T_{7}I | 3537 | |||||

T_{8} | 3000 | T_{8}I | 2979 | |||||

T_{9} | 1905 | T_{9}I | 1863 | |||||

T_{10} | 3810 | T_{10}I | 3726 | |||||

T_{11} | 3525 | T_{11}I | 3357 |

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 2953 | Ionylimic | |||

Scale 2957 | Thygian | |||

Scale 2959 | Dygyllic | |||

Scale 2947 | ||||

Scale 2951 | ||||

Scale 2963 | Bygian | |||

Scale 2971 | Aeolynyllic | |||

Scale 2987 | Neapolitan Major and Minor Mixed | |||

Scale 3019 | ||||

Scale 2827 | ||||

Scale 2891 | Phrogian | |||

Scale 2699 | Sythimic | |||

Scale 2443 | Panimic | |||

Scale 3467 | Katonian | |||

Scale 3979 | Dynyllic | |||

Scale 907 | Tholimic | |||

Scale 1931 | Stogian |

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