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

Pitch Class Set | {0,1,7,8,10} |

Forte Number | 5-Z12 |

Rotational Symmetry | none |

Reflection Axes | 4 |

Palindromic | no |

Chirality | no |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 4 |

Prime? | no prime: 107 |

Deep Scale | no |

Interval Vector | 222121 |

Interval Spectrum | p^{2}mn^{2}s^{2}d^{2}t |

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

Spectra Variation | 3.6 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [8] |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1411 can be rotated to make 4 other scales. The 1st mode is itself.

The prime form of this scale is Scale 107

Scale 107 |

The pentatonic modal family [1411, 2753, 107, 2101, 1549] (Forte: 5-Z12) is the complement of the heptatonic modal family [671, 997, 1273, 2383, 3239, 3667, 3881] (Forte: 7-Z12)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1411 is 2101

Scale 2101 |

T_{0} | 1411 | T_{0}I | 2101 | |||||

T_{1} | 2822 | T_{1}I | 107 | |||||

T_{2} | 1549 | T_{2}I | 214 | |||||

T_{3} | 3098 | T_{3}I | 428 | |||||

T_{4} | 2101 | T_{4}I | 856 | |||||

T_{5} | 107 | T_{5}I | 1712 | |||||

T_{6} | 214 | T_{6}I | 3424 | |||||

T_{7} | 428 | T_{7}I | 2753 | |||||

T_{8} | 856 | T_{8}I | 1411 | |||||

T_{9} | 1712 | T_{9}I | 2822 | |||||

T_{10} | 3424 | T_{10}I | 1549 | |||||

T_{11} | 2753 | T_{11}I | 3098 |

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 1409 | ||||

Scale 1413 | ||||

Scale 1415 | ||||

Scale 1419 | Raga Kashyapi | |||

Scale 1427 | Lolimic | |||

Scale 1443 | Raga Phenadyuti | |||

Scale 1475 | ||||

Scale 1283 | ||||

Scale 1347 | ||||

Scale 1155 | ||||

Scale 1667 | ||||

Scale 1923 | ||||

Scale 387 | ||||

Scale 899 | ||||

Scale 2435 | Raga Deshgaur | |||

Scale 3459 |

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