The Exciting Universe Of Music Theory

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- Zeitler
- Aerygian

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

Pitch Class Set | {0,1,2,3,6,8,10} |

Forte Number | 7-24 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3669 |

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 1359 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2727 | Mela Manavati | ||||

3rd mode: Scale 3411 | Enigmatic | ||||

4th mode: Scale 3753 | Phraptian | ||||

5th mode: Scale 981 | Mela Kantamani | ||||

6th mode: Scale 1269 | Katythian | ||||

7th mode: Scale 1341 | Madian |

The prime form of this scale is Scale 687

Scale 687 | Aeolythian |

The heptatonic modal family [1359, 2727, 3411, 3753, 981, 1269, 1341] (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 1359 is 3669

Scale 3669 | Mothian |

Only scales that are chiral will have an enantiomorph. Scale 1359 is chiral, and its enantiomorph is scale 3669

Scale 3669 | Mothian |

T_{0} | 1359 | T_{0}I | 3669 | |||||

T_{1} | 2718 | T_{1}I | 3243 | |||||

T_{2} | 1341 | T_{2}I | 2391 | |||||

T_{3} | 2682 | T_{3}I | 687 | |||||

T_{4} | 1269 | T_{4}I | 1374 | |||||

T_{5} | 2538 | T_{5}I | 2748 | |||||

T_{6} | 981 | T_{6}I | 1401 | |||||

T_{7} | 1962 | T_{7}I | 2802 | |||||

T_{8} | 3924 | T_{8}I | 1509 | |||||

T_{9} | 3753 | T_{9}I | 3018 | |||||

T_{10} | 3411 | T_{10}I | 1941 | |||||

T_{11} | 2727 | T_{11}I | 3882 |

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 1357 | Takemitsu Linea Mode 2 | |||

Scale 1355 | Raga Bhavani | |||

Scale 1351 | Aeraptimic | |||

Scale 1367 | Leading Whole-Tone Inverse | |||

Scale 1375 | Bothyllic | |||

Scale 1391 | Aeradyllic | |||

Scale 1295 | ||||

Scale 1327 | Zalian | |||

Scale 1423 | Doptian | |||

Scale 1487 | Mothyllic | |||

Scale 1103 | Lynimic | |||

Scale 1231 | Logian | |||

Scale 1615 | Sydian | |||

Scale 1871 | Aeolyllic | |||

Scale 335 | Zanimic | |||

Scale 847 | Ganian | |||

Scale 2383 | Katorian | |||

Scale 3407 | Katocryllic |

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