The Exciting Universe Of Music Theory

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- Zeitler
- Phraptian

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

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

Forte Number | 7-24 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 687 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 687 |

Deep Scale | no |

Interval Vector | 353442 |

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

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

Spectra Variation | 2.571 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 3753 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 981 | Mela Kantamani | ||||

3rd mode: Scale 1269 | Katythian | ||||

4th mode: Scale 1341 | Madian | ||||

5th mode: Scale 1359 | Aerygian | ||||

6th mode: Scale 2727 | Mela Manavati | ||||

7th mode: Scale 3411 | Enigmatic |

The prime form of this scale is Scale 687

Scale 687 | Aeolythian |

The heptatonic modal family [3753, 981, 1269, 1341, 1359, 2727, 3411] (Forte: 7-24) is the complement of the pentatonic modal family [171, 1377, 1413, 1557, 2133] (Forte: 5-24)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3753 is 687

Scale 687 | Aeolythian |

Only scales that are chiral will have an enantiomorph. Scale 3753 is chiral, and its enantiomorph is scale 687

Scale 687 | Aeolythian |

T_{0} | 3753 | T_{0}I | 687 | |||||

T_{1} | 3411 | T_{1}I | 1374 | |||||

T_{2} | 2727 | T_{2}I | 2748 | |||||

T_{3} | 1359 | T_{3}I | 1401 | |||||

T_{4} | 2718 | T_{4}I | 2802 | |||||

T_{5} | 1341 | T_{5}I | 1509 | |||||

T_{6} | 2682 | T_{6}I | 3018 | |||||

T_{7} | 1269 | T_{7}I | 1941 | |||||

T_{8} | 2538 | T_{8}I | 3882 | |||||

T_{9} | 981 | T_{9}I | 3669 | |||||

T_{10} | 1962 | T_{10}I | 3243 | |||||

T_{11} | 3924 | T_{11}I | 2391 |

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 3755 | Phryryllic | |||

Scale 3757 | Raga Mian Ki Malhar | |||

Scale 3745 | ||||

Scale 3749 | Raga Sorati | |||

Scale 3761 | Raga Madhuri | |||

Scale 3769 | Eponyllic | |||

Scale 3721 | Phragimic | |||

Scale 3737 | Phrocrian | |||

Scale 3785 | Epagian | |||

Scale 3817 | Zoryllic | |||

Scale 3625 | Podimic | |||

Scale 3689 | Katocrian | |||

Scale 3881 | Morian | |||

Scale 4009 | Phranyllic | |||

Scale 3241 | Dalimic | |||

Scale 3497 | Phrolian | |||

Scale 2729 | Aeragimic | |||

Scale 1705 | Raga Manohari |

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