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
- Rygian

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

Pitch Class Set | {0,2,3,5,6,7,8} |

Forte Number | 7-Z36 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1777 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 367 |

Deep Scale | no |

Interval Vector | 444342 |

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

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

Spectra Variation | 3.143 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 493 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 1147 | Epynian | ||||

3rd mode: Scale 2621 | Ionogian | ||||

4th mode: Scale 1679 | Kydian | ||||

5th mode: Scale 2887 | Gaptian | ||||

6th mode: Scale 3491 | Tharian | ||||

7th mode: Scale 3793 | Aeopian |

The prime form of this scale is Scale 367

Scale 367 | Aerodian |

The heptatonic modal family [493, 1147, 2621, 1679, 2887, 3491, 3793] (Forte: 7-Z36) is the complement of the pentatonic modal family [151, 737, 1801, 2123, 3109] (Forte: 5-Z36)

The inverse of a scale is a reflection using the root as its axis. The inverse of 493 is 1777

Scale 1777 | Saptian |

Only scales that are chiral will have an enantiomorph. Scale 493 is chiral, and its enantiomorph is scale 1777

Scale 1777 | Saptian |

T_{0} | 493 | T_{0}I | 1777 | |||||

T_{1} | 986 | T_{1}I | 3554 | |||||

T_{2} | 1972 | T_{2}I | 3013 | |||||

T_{3} | 3944 | T_{3}I | 1931 | |||||

T_{4} | 3793 | T_{4}I | 3862 | |||||

T_{5} | 3491 | T_{5}I | 3629 | |||||

T_{6} | 2887 | T_{6}I | 3163 | |||||

T_{7} | 1679 | T_{7}I | 2231 | |||||

T_{8} | 3358 | T_{8}I | 367 | |||||

T_{9} | 2621 | T_{9}I | 734 | |||||

T_{10} | 1147 | T_{10}I | 1468 | |||||

T_{11} | 2294 | T_{11}I | 2936 |

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 495 | Bocryllic | |||

Scale 489 | Phrathimic | |||

Scale 491 | Aeolyrian | |||

Scale 485 | Stoptimic | |||

Scale 501 | Katylian | |||

Scale 509 | Ionothyllic | |||

Scale 461 | Raga Syamalam | |||

Scale 477 | Stacrian | |||

Scale 429 | Koptimic | |||

Scale 365 | Marimic | |||

Scale 237 | ||||

Scale 749 | Aeologian | |||

Scale 1005 | Radyllic | |||

Scale 1517 | Sagyllic | |||

Scale 2541 | Algerian |

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.