The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

- Zeitler
- Byptian

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

Pitch Class Set | {0,1,3,5,8,9,10} |

Forte Number | 7-27 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2717 |

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 1835 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2965 | Darian | ||||

3rd mode: Scale 1765 | Lonian | ||||

4th mode: Scale 1465 | Mela Ragavardhani | ||||

5th mode: Scale 695 | Sarian | This is the prime mode | |||

6th mode: Scale 2395 | Zoptian | ||||

7th mode: Scale 3245 | Mela Varunapriya |

The prime form of this scale is Scale 695

Scale 695 | Sarian |

The heptatonic modal family [1835, 2965, 1765, 1465, 695, 2395, 3245] (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 1835 is 2717

Scale 2717 | Epygian |

Only scales that are chiral will have an enantiomorph. Scale 1835 is chiral, and its enantiomorph is scale 2717

Scale 2717 | Epygian |

T_{0} | 1835 | T_{0}I | 2717 | |||||

T_{1} | 3670 | T_{1}I | 1339 | |||||

T_{2} | 3245 | T_{2}I | 2678 | |||||

T_{3} | 2395 | T_{3}I | 1261 | |||||

T_{4} | 695 | T_{4}I | 2522 | |||||

T_{5} | 1390 | T_{5}I | 949 | |||||

T_{6} | 2780 | T_{6}I | 1898 | |||||

T_{7} | 1465 | T_{7}I | 3796 | |||||

T_{8} | 2930 | T_{8}I | 3497 | |||||

T_{9} | 1765 | T_{9}I | 2899 | |||||

T_{10} | 3530 | T_{10}I | 1703 | |||||

T_{11} | 2965 | T_{11}I | 3406 |

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 1833 | Ionacrimic | |||

Scale 1837 | Dalian | |||

Scale 1839 | Zogyllic | |||

Scale 1827 | Katygimic | |||

Scale 1831 | Pothian | |||

Scale 1843 | Ionygian | |||

Scale 1851 | Zacryllic | |||

Scale 1803 | ||||

Scale 1819 | Pydian | |||

Scale 1867 | Solian | |||

Scale 1899 | Moptyllic | |||

Scale 1963 | Epocryllic | |||

Scale 1579 | Sagimic | |||

Scale 1707 | Dorian Flat 2 | |||

Scale 1323 | Ritsu | |||

Scale 811 | Radimic | |||

Scale 2859 | Phrycrian | |||

Scale 3883 | Kyryllic |

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