The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

- Zeitler
- Lonian

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

Pitch Class Set | {0,2,5,6,7,9,10} |

Forte Number | 7-27 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1261 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 2 |

Modes | 6 |

Prime? | no prime: 695 |

Deep Scale | no |

Interval Vector | 344451 |

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

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

Spectra Variation | 2.286 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1765 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 1465 | Mela Ragavardhani | ||||

3rd mode: Scale 695 | Sarian | This is the prime mode | |||

4th mode: Scale 2395 | Zoptian | ||||

5th mode: Scale 3245 | Mela Varunapriya | ||||

6th mode: Scale 1835 | Byptian | ||||

7th mode: Scale 2965 | Darian |

The prime form of this scale is Scale 695

Scale 695 | Sarian |

The heptatonic modal family [1765, 1465, 695, 2395, 3245, 1835, 2965] (Forte: 7-27) is the complement of the pentatonic modal family [299, 689, 1417, 1573, 2197] (Forte: 5-27)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1765 is 1261

Scale 1261 | Modified Blues |

Only scales that are chiral will have an enantiomorph. Scale 1765 is chiral, and its enantiomorph is scale 1261

Scale 1261 | Modified Blues |

T_{0} | 1765 | T_{0}I | 1261 | |||||

T_{1} | 3530 | T_{1}I | 2522 | |||||

T_{2} | 2965 | T_{2}I | 949 | |||||

T_{3} | 1835 | T_{3}I | 1898 | |||||

T_{4} | 3670 | T_{4}I | 3796 | |||||

T_{5} | 3245 | T_{5}I | 3497 | |||||

T_{6} | 2395 | T_{6}I | 2899 | |||||

T_{7} | 695 | T_{7}I | 1703 | |||||

T_{8} | 1390 | T_{8}I | 3406 | |||||

T_{9} | 2780 | T_{9}I | 2717 | |||||

T_{10} | 1465 | T_{10}I | 1339 | |||||

T_{11} | 2930 | T_{11}I | 2678 |

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 1767 | Dyryllic | |||

Scale 1761 | ||||

Scale 1763 | Katalian | |||

Scale 1769 | Blues Heptatonic II | |||

Scale 1773 | Blues scale II | |||

Scale 1781 | Gocryllic | |||

Scale 1733 | Raga Sarasvati | |||

Scale 1749 | Acoustic | |||

Scale 1701 | Dominant Seventh | |||

Scale 1637 | Syptimic | |||

Scale 1893 | Ionylian | |||

Scale 2021 | Katycryllic | |||

Scale 1253 | Zolimic | |||

Scale 1509 | Ragian | |||

Scale 741 | Gathimic | |||

Scale 2789 | Zolian | |||

Scale 3813 | Aeologyllic |

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