The Exciting Universe Of Music Theory

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- Zeitler
- Gathimic

Cardinality | 6 (hexatonic) |
---|---|

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

Forte Number | 6-Z47 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1257 |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 2 |

Modes | 5 |

Prime? | no prime: 663 |

Deep Scale | no |

Interval Vector | 233241 |

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

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

Spectra Variation | 2.333 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 741 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 1209 | Raga Bhanumanjari | ||||

3rd mode: Scale 663 | Phrynimic | This is the prime mode | |||

4th mode: Scale 2379 | Raga Gurjari Todi | ||||

5th mode: Scale 3237 | Raga Brindabani Sarang | ||||

6th mode: Scale 1833 | Ionacrimic |

The prime form of this scale is Scale 663

Scale 663 | Phrynimic |

The hexatonic modal family [741, 1209, 663, 2379, 3237, 1833] (Forte: 6-Z47) is the complement of the hexatonic modal family [363, 1419, 1581, 1713, 2229, 2757] (Forte: 6-Z25)

The inverse of a scale is a reflection using the root as its axis. The inverse of 741 is 1257

Scale 1257 | Blues scale |

Only scales that are chiral will have an enantiomorph. Scale 741 is chiral, and its enantiomorph is scale 1257

Scale 1257 | Blues scale |

T_{0} | 741 | T_{0}I | 1257 | |||||

T_{1} | 1482 | T_{1}I | 2514 | |||||

T_{2} | 2964 | T_{2}I | 933 | |||||

T_{3} | 1833 | T_{3}I | 1866 | |||||

T_{4} | 3666 | T_{4}I | 3732 | |||||

T_{5} | 3237 | T_{5}I | 3369 | |||||

T_{6} | 2379 | T_{6}I | 2643 | |||||

T_{7} | 663 | T_{7}I | 1191 | |||||

T_{8} | 1326 | T_{8}I | 2382 | |||||

T_{9} | 2652 | T_{9}I | 669 | |||||

T_{10} | 1209 | T_{10}I | 1338 | |||||

T_{11} | 2418 | T_{11}I | 2676 |

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 743 | Chromatic Hypophrygian Inverse | |||

Scale 737 | ||||

Scale 739 | Rorimic | |||

Scale 745 | Kolimic | |||

Scale 749 | Aeologian | |||

Scale 757 | Ionyptian | |||

Scale 709 | Raga Shri Kalyan | |||

Scale 725 | Raga Yamuna Kalyani | |||

Scale 677 | Scottish Pentatonic | |||

Scale 613 | Phralitonic | |||

Scale 869 | Kothimic | |||

Scale 997 | Rycrian | |||

Scale 229 | ||||

Scale 485 | Stoptimic | |||

Scale 1253 | Zolimic | |||

Scale 1765 | Lonian | |||

Scale 2789 | Zolian |

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