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- Zeitler
- Epaditonic

Cardinality | 5 (pentatonic) |
---|---|

Pitch Class Set | {0,2,6,8,9} |

Forte Number | 5-28 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1113 |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 4 |

Prime? | no prime: 333 |

Deep Scale | no |

Interval Vector | 122212 |

Interval Spectrum | pm^{2}n^{2}s^{2}dt^{2} |

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

Spectra Variation | 2.4 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 837 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 1233 | Ionoditonic | ||||

3rd mode: Scale 333 | Bogitonic | This is the prime mode | |||

4th mode: Scale 1107 | Mogitonic | ||||

5th mode: Scale 2601 | Raga Chandrakauns |

The prime form of this scale is Scale 333

Scale 333 | Bogitonic |

The pentatonic modal family [837, 1233, 333, 1107, 2601] (Forte: 5-28) is the complement of the heptatonic modal family [747, 1431, 1629, 1881, 2421, 2763, 3429] (Forte: 7-28)

The inverse of a scale is a reflection using the root as its axis. The inverse of 837 is 1113

Scale 1113 | Locrian Pentatonic 2 |

Only scales that are chiral will have an enantiomorph. Scale 837 is chiral, and its enantiomorph is scale 1113

Scale 1113 | Locrian Pentatonic 2 |

T_{0} | 837 | T_{0}I | 1113 | |||||

T_{1} | 1674 | T_{1}I | 2226 | |||||

T_{2} | 3348 | T_{2}I | 357 | |||||

T_{3} | 2601 | T_{3}I | 714 | |||||

T_{4} | 1107 | T_{4}I | 1428 | |||||

T_{5} | 2214 | T_{5}I | 2856 | |||||

T_{6} | 333 | T_{6}I | 1617 | |||||

T_{7} | 666 | T_{7}I | 3234 | |||||

T_{8} | 1332 | T_{8}I | 2373 | |||||

T_{9} | 2664 | T_{9}I | 651 | |||||

T_{10} | 1233 | T_{10}I | 1302 | |||||

T_{11} | 2466 | T_{11}I | 2604 |

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 839 | Ionathimic | |||

Scale 833 | ||||

Scale 835 | ||||

Scale 841 | Phrothitonic | |||

Scale 845 | Raga Neelangi | |||

Scale 853 | Epothimic | |||

Scale 869 | Kothimic | |||

Scale 773 | ||||

Scale 805 | Rothitonic | |||

Scale 901 | ||||

Scale 965 | Ionothimic | |||

Scale 581 | Eporic | |||

Scale 709 | Raga Shri Kalyan | |||

Scale 325 | Messiaen Truncated Mode 6 | |||

Scale 1349 | Tholitonic | |||

Scale 1861 | Phrygimic | |||

Scale 2885 | Byrimic |

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