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Also known as: Half Diminished Locrian, Greek Mixolydian, Greek Hyperdorian, Medieval Hypophrygian, Medieval Locrian, Greek Medieval Hyperaeolian, Rut biscale descending, Pien chih, Makam Lami, Yishtabach

*i* = imperfections

Tones | 7 (heptatonic) |
---|---|

Pitch Class Set | {0,1,3,5,6,8,10} |

Forte Number | 7-35 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 1 |

Modes | 6 |

Prime? | yes |

Chirality | no |

Deep Scale | yes |

Interval Vector | 254361 |

Interval Spectrum | p^{6}m^{3}n^{4}s^{5}d^{2}t |

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

Spectra Variation | 0.857 |

Myhill Property | yes |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1387 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2741 | Major | ||||

3rd mode: Scale 1709 | Dorian | ||||

4th mode: Scale 1451 | Phrygian | ||||

5th mode: Scale 2773 | Lydian | ||||

6th mode: Scale 1717 | Mixolydian | ||||

7th mode: Scale 1453 | Aeolian |

This is the prime form of this scale.

The heptatonic modal family [1387, 2741, 1709, 1451, 2773, 1717, 1453] is the negative of the pentatonic modal family [661, 677, 1189, 1193, 1321]

The inverse of a scale is a reflection using the root as its axis. The inverse of 1387 is 2773

Scale 2773 | Lydian |

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 1385 | ||||

Scale 1389 | Minor Locrian | |||

Scale 1391 | ||||

Scale 1379 | ||||

Scale 1383 | ||||

Scale 1395 | Asian (a) | |||

Scale 1403 | Espla's scale | |||

Scale 1355 | Raga Bhavani | |||

Scale 1371 | Superlocrian | |||

Scale 1323 | Ritsu | |||

Scale 1451 | Phrygian | |||

Scale 1515 | Phrygian/Locrian mixed | |||

Scale 1131 | Honchoshi plagal form | |||

Scale 1259 | ||||

Scale 1643 | Locrian natural 6 | |||

Scale 1899 | ||||

Scale 363 | ||||

Scale 875 | Locrian Double-flat 7 | |||

Scale 2411 | ||||

Scale 3435 | Prokofiev |

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