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- Western Modern
- Minor Pentatonic With Leading Tones

- Zeitler
- Garyllian

Cardinality | 10 (decatonic) |
---|---|

Pitch Class Set | {0,2,3,4,5,6,7,9,10,11} |

Forte Number | 10-5 |

Rotational Symmetry | none |

Reflection Axes | 4.5 |

Palindromic | no |

Chirality | no |

Hemitonia | 8 (multihemitonic) |

Cohemitonia | 6 (multicohemitonic) |

Imperfections | 1 |

Modes | 9 |

Prime? | no prime: 1983 |

Deep Scale | no |

Interval Vector | 888894 |

Interval Spectrum | p^{9}m^{8}n^{8}s^{8}d^{8}t^{4} |

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

Spectra Variation | 1 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [9] |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3837 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode: Scale 1983 | Soryllian | This is the prime mode | |||

3rd mode: Scale 3039 | Godyllian | ||||

4th mode: Scale 3567 | Epityllian | ||||

5th mode: Scale 3831 | Ionyllian | ||||

6th mode: Scale 3963 | Aeoryllian | ||||

7th mode: Scale 4029 | Major/Minor Mixed | ||||

8th mode: Scale 2031 | Gadyllian | ||||

9th mode: Scale 3063 | Solyllian | ||||

10th mode: Scale 3579 | Zyphyllian |

The prime form of this scale is Scale 1983

Scale 1983 | Soryllian |

The decatonic modal family [3837, 1983, 3039, 3567, 3831, 3963, 4029, 2031, 3063, 3579] (Forte: 10-5) is the complement of the modal family [33, 129] (Forte: 2-5)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3837 is 2031

Scale 2031 | Gadyllian |

T_{0} | 3837 | T_{0}I | 2031 | |||||

T_{1} | 3579 | T_{1}I | 4062 | |||||

T_{2} | 3063 | T_{2}I | 4029 | |||||

T_{3} | 2031 | T_{3}I | 3963 | |||||

T_{4} | 4062 | T_{4}I | 3831 | |||||

T_{5} | 4029 | T_{5}I | 3567 | |||||

T_{6} | 3963 | T_{6}I | 3039 | |||||

T_{7} | 3831 | T_{7}I | 1983 | |||||

T_{8} | 3567 | T_{8}I | 3966 | |||||

T_{9} | 3039 | T_{9}I | 3837 | |||||

T_{10} | 1983 | T_{10}I | 3579 | |||||

T_{11} | 3966 | T_{11}I | 3063 |

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 3839 | Mixolatic | |||

Scale 3833 | Dycrygic | |||

Scale 3835 | ||||

Scale 3829 | Taishikicho | |||

Scale 3821 | Epyrygic | |||

Scale 3805 | Moptygic | |||

Scale 3773 | Raga Malgunji | |||

Scale 3709 | Katynygic | |||

Scale 3965 | Messiaen Mode 7 Inverse | |||

Scale 4093 | Aerycratic | |||

Scale 3325 | Mixolygic | |||

Scale 3581 | Epocryllian | |||

Scale 2813 | Zolygic | |||

Scale 1789 | Blues Enneatonic II |

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