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The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks *imperfect* tones that do not have a tone a fifth above.

Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

- Zeitler
- Pynian

Cardinality | 7 (heptatonic) |
---|---|

Pitch Class Set | {0,1,2,5,6,8,10} |

Forte Number | 7-30 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3285 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 855 |

Deep Scale | no |

Interval Vector | 343542 |

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

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

Spectra Variation | 1.714 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1383 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2739 | Mela Suryakanta | ||||

3rd mode: Scale 3417 | Golian | ||||

4th mode: Scale 939 | Mela Senavati | ||||

5th mode: Scale 2517 | Harmonic Lydian | ||||

6th mode: Scale 1653 | Minor Romani Inverse | ||||

7th mode: Scale 1437 | Sabach ascending |

The prime form of this scale is Scale 855

Scale 855 | Porian |

The heptatonic modal family [1383, 2739, 3417, 939, 2517, 1653, 1437] (Forte: 7-30) is the complement of the pentatonic modal family [339, 789, 1221, 1329, 2217] (Forte: 5-30)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1383 is 3285

Scale 3285 | Mela Citrambari |

Only scales that are chiral will have an enantiomorph. Scale 1383 is chiral, and its enantiomorph is scale 3285

Scale 3285 | Mela Citrambari |

T_{0} | 1383 | T_{0}I | 3285 | |||||

T_{1} | 2766 | T_{1}I | 2475 | |||||

T_{2} | 1437 | T_{2}I | 855 | |||||

T_{3} | 2874 | T_{3}I | 1710 | |||||

T_{4} | 1653 | T_{4}I | 3420 | |||||

T_{5} | 3306 | T_{5}I | 2745 | |||||

T_{6} | 2517 | T_{6}I | 1395 | |||||

T_{7} | 939 | T_{7}I | 2790 | |||||

T_{8} | 1878 | T_{8}I | 1485 | |||||

T_{9} | 3756 | T_{9}I | 2970 | |||||

T_{10} | 3417 | T_{10}I | 1845 | |||||

T_{11} | 2739 | T_{11}I | 3690 |

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 1381 | Padimic | |||

Scale 1379 | Kycrimic | |||

Scale 1387 | Locrian | |||

Scale 1391 | Aeradyllic | |||

Scale 1399 | Syryllic | |||

Scale 1351 | Aeraptimic | |||

Scale 1367 | Leading Whole-Tone Inverse | |||

Scale 1319 | Phronimic | |||

Scale 1447 | Mela Ratnangi | |||

Scale 1511 | Styptyllic | |||

Scale 1127 | Eparimic | |||

Scale 1255 | Chromatic Mixolydian | |||

Scale 1639 | Aeolothian | |||

Scale 1895 | Salyllic | |||

Scale 359 | Bothimic | |||

Scale 871 | Locrian Double-flat 3 Double-flat 7 | |||

Scale 2407 | Zylian | |||

Scale 3431 | Zyptyllic |

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