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- Zeitler
- Phrothitonic

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

Pitch Class Set | {0,3,6,8,9} |

Forte Number | 5-31 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 601 |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 4 |

Prime? | no prime: 587 |

Deep Scale | no |

Interval Vector | 114112 |

Interval Spectrum | pmn^{4}sdt^{2} |

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

Spectra Variation | 2 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 841 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 617 | Katycritonic | ||||

3rd mode: Scale 589 | Ionalitonic | ||||

4th mode: Scale 1171 | Raga Manaranjani I | ||||

5th mode: Scale 2633 | Mixitonic |

The prime form of this scale is Scale 587

Scale 587 | Pathitonic |

The pentatonic modal family [841, 617, 589, 1171, 2633] (Forte: 5-31) is the complement of the heptatonic modal family [731, 1627, 1739, 1753, 2413, 2861, 2917] (Forte: 7-31)

The inverse of a scale is a reflection using the root as its axis. The inverse of 841 is 601

Scale 601 | Bycritonic |

Only scales that are chiral will have an enantiomorph. Scale 841 is chiral, and its enantiomorph is scale 601

Scale 601 | Bycritonic |

T_{0} | 841 | T_{0}I | 601 | |||||

T_{1} | 1682 | T_{1}I | 1202 | |||||

T_{2} | 3364 | T_{2}I | 2404 | |||||

T_{3} | 2633 | T_{3}I | 713 | |||||

T_{4} | 1171 | T_{4}I | 1426 | |||||

T_{5} | 2342 | T_{5}I | 2852 | |||||

T_{6} | 589 | T_{6}I | 1609 | |||||

T_{7} | 1178 | T_{7}I | 3218 | |||||

T_{8} | 2356 | T_{8}I | 2341 | |||||

T_{9} | 617 | T_{9}I | 587 | |||||

T_{10} | 1234 | T_{10}I | 1174 | |||||

T_{11} | 2468 | T_{11}I | 2348 |

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 843 | Molimic | |||

Scale 845 | Raga Neelangi | |||

Scale 833 | ||||

Scale 837 | Epaditonic | |||

Scale 849 | Aerynitonic | |||

Scale 857 | Aeolydimic | |||

Scale 873 | Bagimic | |||

Scale 777 | ||||

Scale 809 | Dogitonic | |||

Scale 905 | Bylitonic | |||

Scale 969 | Ionogimic | |||

Scale 585 | Diminished Seventh | |||

Scale 713 | Thoptitonic | |||

Scale 329 | Mynic | |||

Scale 1353 | Raga Harikauns | |||

Scale 1865 | Thagimic | |||

Scale 2889 | Thoptimic |

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