The Exciting Universe Of Music Theory

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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. Dotted lines indicate axes of symmetry.

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
- Kycrimic

Cardinality | 6 (hexatonic) |
---|---|

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

Forte Number | 6-Z26 |

Rotational Symmetry | none |

Reflection Axes | 3 |

Palindromic | no |

Chirality | no |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 2 |

Modes | 5 |

Prime? | no prime: 427 |

Deep Scale | no |

Interval Vector | 232341 |

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

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

Spectra Variation | 2 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [6] |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1379 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 2737 | Raga Hari Nata | ||||

3rd mode: Scale 427 | Raga Suddha Simantini | This is the prime mode | |||

4th mode: Scale 2261 | Raga Caturangini | ||||

5th mode: Scale 1589 | Raga Rageshri | ||||

6th mode: Scale 1421 | Raga Trimurti |

The prime form of this scale is Scale 427

Scale 427 | Raga Suddha Simantini |

The hexatonic modal family [1379, 2737, 427, 2261, 1589, 1421] (Forte: 6-Z26) is the complement of the hexatonic modal family [679, 917, 1253, 1337, 2387, 3241] (Forte: 6-Z48)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1379 is 2261

Scale 2261 | Raga Caturangini |

T_{0} | 1379 | T_{0}I | 2261 | |||||

T_{1} | 2758 | T_{1}I | 427 | |||||

T_{2} | 1421 | T_{2}I | 854 | |||||

T_{3} | 2842 | T_{3}I | 1708 | |||||

T_{4} | 1589 | T_{4}I | 3416 | |||||

T_{5} | 3178 | T_{5}I | 2737 | |||||

T_{6} | 2261 | T_{6}I | 1379 | |||||

T_{7} | 427 | T_{7}I | 2758 | |||||

T_{8} | 854 | T_{8}I | 1421 | |||||

T_{9} | 1708 | T_{9}I | 2842 | |||||

T_{10} | 3416 | T_{10}I | 1589 | |||||

T_{11} | 2737 | T_{11}I | 3178 |

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 1377 | ||||

Scale 1381 | Padimic | |||

Scale 1383 | Pynian | |||

Scale 1387 | Locrian | |||

Scale 1395 | Asian (a) | |||

Scale 1347 | ||||

Scale 1363 | Gygimic | |||

Scale 1315 | Pyritonic | |||

Scale 1443 | Raga Phenadyuti | |||

Scale 1507 | Zynian | |||

Scale 1123 | Iwato | |||

Scale 1251 | Sylimic | |||

Scale 1635 | Sygimic | |||

Scale 1891 | Thalian | |||

Scale 355 | Aeoloritonic | |||

Scale 867 | Phrocrimic | |||

Scale 2403 | Lycrimic | |||

Scale 3427 | Zacrian |

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.