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- Zeitler
- Pathitonic

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

Pitch Class Set | {0,1,3,6,9} |

Forte Number | 5-31 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2633 |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 4 |

Prime? | yes |

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 587 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 2341 | Raga Priyadharshini | ||||

3rd mode: Scale 1609 | Thyritonic | ||||

4th mode: Scale 713 | Thoptitonic | ||||

5th mode: Scale 601 | Bycritonic |

This is the prime form of this scale.

The pentatonic modal family [587, 2341, 1609, 713, 601] (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 587 is 2633

Scale 2633 | Mixitonic |

Only scales that are chiral will have an enantiomorph. Scale 587 is chiral, and its enantiomorph is scale 2633

Scale 2633 | Mixitonic |

T_{0} | 587 | T_{0}I | 2633 | |||||

T_{1} | 1174 | T_{1}I | 1171 | |||||

T_{2} | 2348 | T_{2}I | 2342 | |||||

T_{3} | 601 | T_{3}I | 589 | |||||

T_{4} | 1202 | T_{4}I | 1178 | |||||

T_{5} | 2404 | T_{5}I | 2356 | |||||

T_{6} | 713 | T_{6}I | 617 | |||||

T_{7} | 1426 | T_{7}I | 1234 | |||||

T_{8} | 2852 | T_{8}I | 2468 | |||||

T_{9} | 1609 | T_{9}I | 841 | |||||

T_{10} | 3218 | T_{10}I | 1682 | |||||

T_{11} | 2341 | T_{11}I | 3364 |

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 585 | Diminished Seventh | |||

Scale 589 | Ionalitonic | |||

Scale 591 | Gaptimic | |||

Scale 579 | ||||

Scale 583 | Aeritonic | |||

Scale 595 | Sogitonic | |||

Scale 603 | Aeolygimic | |||

Scale 619 | Double-Phrygian Hexatonic | |||

Scale 523 | ||||

Scale 555 | Aeolycritonic | |||

Scale 651 | Golitonic | |||

Scale 715 | Messiaen Truncated Mode 2 | |||

Scale 843 | Molimic | |||

Scale 75 | ||||

Scale 331 | Raga Chhaya Todi | |||

Scale 1099 | Dyritonic | |||

Scale 1611 | Dacrimic | |||

Scale 2635 | Gocrimic |

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