The Exciting Universe Of Music Theory

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- Zeitler
- Zynian

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

Pitch Class Set | {0,1,5,6,7,8,10} |

Forte Number | 7-14 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2293 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 2 |

Modes | 6 |

Prime? | no prime: 431 |

Deep Scale | no |

Interval Vector | 443352 |

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

Distribution Spectra | <1> = {1,2,4} <2> = {2,3,4,5} <3> = {3,4,5,6,7} <4> = {5,6,7,8,9} <5> = {7,8,9,10} <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 1507 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2801 | Zogian | ||||

3rd mode: Scale 431 | Epyrian | This is the prime mode | |||

4th mode: Scale 2263 | Lycrian | ||||

5th mode: Scale 3179 | Daptian | ||||

6th mode: Scale 3637 | Raga Rageshri | ||||

7th mode: Scale 1933 | Mocrian |

The prime form of this scale is Scale 431

Scale 431 | Epyrian |

The heptatonic modal family [1507, 2801, 431, 2263, 3179, 3637, 1933] (Forte: 7-14) is the complement of the pentatonic modal family [167, 901, 1249, 2131, 3113] (Forte: 5-14)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1507 is 2293

Scale 2293 | Gorian |

Only scales that are chiral will have an enantiomorph. Scale 1507 is chiral, and its enantiomorph is scale 2293

Scale 2293 | Gorian |

T_{0} | 1507 | T_{0}I | 2293 | |||||

T_{1} | 3014 | T_{1}I | 491 | |||||

T_{2} | 1933 | T_{2}I | 982 | |||||

T_{3} | 3866 | T_{3}I | 1964 | |||||

T_{4} | 3637 | T_{4}I | 3928 | |||||

T_{5} | 3179 | T_{5}I | 3761 | |||||

T_{6} | 2263 | T_{6}I | 3427 | |||||

T_{7} | 431 | T_{7}I | 2759 | |||||

T_{8} | 862 | T_{8}I | 1423 | |||||

T_{9} | 1724 | T_{9}I | 2846 | |||||

T_{10} | 3448 | T_{10}I | 1597 | |||||

T_{11} | 2801 | T_{11}I | 3194 |

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 1505 | ||||

Scale 1509 | Ragian | |||

Scale 1511 | Styptyllic | |||

Scale 1515 | Phrygian/Locrian Mixed | |||

Scale 1523 | Zothyllic | |||

Scale 1475 | ||||

Scale 1491 | Mela Namanarayani | |||

Scale 1443 | Raga Phenadyuti | |||

Scale 1379 | Kycrimic | |||

Scale 1251 | Sylimic | |||

Scale 1763 | Katalian | |||

Scale 2019 | Palyllic | |||

Scale 483 | Kygimic | |||

Scale 995 | Phrathian | |||

Scale 2531 | Danian | |||

Scale 3555 | Pylyllic |

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