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- Zeitler
- Epolygic

Cardinality | 9 (nonatonic) |
---|---|

Pitch Class Set | {0,1,2,4,5,7,8,10,11} |

Forte Number | 9-10 |

Rotational Symmetry | none |

Reflection Axes | 0 |

Palindromic | yes |

Chirality | no |

Hemitonia | 6 (multihemitonic) |

Cohemitonia | 3 (tricohemitonic) |

Imperfections | 3 |

Modes | 8 |

Prime? | no prime: 1759 |

Deep Scale | no |

Interval Vector | 668664 |

Interval Spectrum | p^{6}m^{6}n^{8}s^{6}d^{6}t^{4} |

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

Spectra Variation | 1.333 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [0] |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 3511 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode: Scale 3803 | Epidygic | ||||

3rd mode: Scale 3949 | Koptygic | ||||

4th mode: Scale 2011 | Raphygic | ||||

5th mode: Scale 3053 | Zycrygic | ||||

6th mode: Scale 1787 | Mycrygic | ||||

7th mode: Scale 2941 | Laptygic | ||||

8th mode: Scale 1759 | Pylygic | This is the prime mode | |||

9th mode: Scale 2927 | Rodygic |

The prime form of this scale is Scale 1759

Scale 1759 | Pylygic |

The nonatonic modal family [3511, 3803, 3949, 2011, 3053, 1787, 2941, 1759, 2927] (Forte: 9-10) is the complement of the tritonic modal family [73, 521, 577] (Forte: 3-10)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3511 is itself, because it is a palindromic scale!

Scale 3511 | Epolygic |

T_{0} | 3511 | T_{0}I | 3511 | |||||

T_{1} | 2927 | T_{1}I | 2927 | |||||

T_{2} | 1759 | T_{2}I | 1759 | |||||

T_{3} | 3518 | T_{3}I | 3518 | |||||

T_{4} | 2941 | T_{4}I | 2941 | |||||

T_{5} | 1787 | T_{5}I | 1787 | |||||

T_{6} | 3574 | T_{6}I | 3574 | |||||

T_{7} | 3053 | T_{7}I | 3053 | |||||

T_{8} | 2011 | T_{8}I | 2011 | |||||

T_{9} | 4022 | T_{9}I | 4022 | |||||

T_{10} | 3949 | T_{10}I | 3949 | |||||

T_{11} | 3803 | T_{11}I | 3803 |

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 3509 | Stogyllic | |||

Scale 3507 | Maqam Hijaz | |||

Scale 3515 | Moorish Phrygian | |||

Scale 3519 | Raga Sindhi-Bhairavi | |||

Scale 3495 | Banyllic | |||

Scale 3503 | Zyphygic | |||

Scale 3479 | Rothyllic | |||

Scale 3543 | Aeolonygic | |||

Scale 3575 | Symmetrical Decatonic | |||

Scale 3383 | Zoptyllic | |||

Scale 3447 | Mogyllian | |||

Scale 3255 | Daryllic | |||

Scale 3767 | Chromatic Bebop | |||

Scale 4023 | Styptyllian | |||

Scale 2487 | Dothyllic | |||

Scale 2999 | Chromatic and Permuted Diatonic Dorian Mixed | |||

Scale 1463 |

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