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).

- Western Modern
- Diminished
- Whole-Half Step Scale
- Auxiliary Diminished

- Unknown / Unsorted
- Modus Conjunctus

- Messiaen
- Messiaen Mode 2 Inverse

- Exoticisms
- Arabian A

- Zeitler
- Epadyllic

Cardinality | 8 (octatonic) |
---|---|

Pitch Class Set | {0,2,3,5,6,8,9,11} |

Forte Number | 8-28 |

Rotational Symmetry | 3, 6, 9 semitones |

Reflection Axes | 1, 2.5, 4, 5.5 |

Palindromic | no |

Chirality | no |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 1 |

Prime? | no prime: 1755 |

Deep Scale | no |

Interval Vector | 448444 |

Interval Spectrum | p^{4}m^{4}n^{8}s^{4}d^{4}t^{4} |

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

Spectra Variation | 0.5 |

Maximally Even | yes |

Myhill Property | no |

Balanced | yes |

Ridge Tones | [2,5,8,11] |

Propriety | Strictly Proper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2925 can be rotated to make 1 other scales. The 1st mode is itself.

The prime form of this scale is Scale 1755

Scale 1755 | Octatonic |

The octatonic modal family [2925, 1755] (Forte: 8-28) is the complement of the tetratonic modal family [585] (Forte: 4-28)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2925 is 1755

Scale 1755 | Octatonic |

T_{0} | 2925 | T_{0}I | 1755 | |||||

T_{1} | 1755 | T_{1}I | 3510 | |||||

T_{2} | 3510 | T_{2}I | 2925 | |||||

T_{3} | 2925 | T_{3}I | 1755 | |||||

T_{4} | 1755 | T_{4}I | 3510 | |||||

T_{5} | 3510 | T_{5}I | 2925 | |||||

T_{6} | 2925 | T_{6}I | 1755 | |||||

T_{7} | 1755 | T_{7}I | 3510 | |||||

T_{8} | 3510 | T_{8}I | 2925 | |||||

T_{9} | 2925 | T_{9}I | 1755 | |||||

T_{10} | 1755 | T_{10}I | 3510 | |||||

T_{11} | 3510 | T_{11}I | 2925 |

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 2927 | Rodygic | |||

Scale 2921 | Pogian | |||

Scale 2923 | Baryllic | |||

Scale 2917 | Nohkan Flute Scale | |||

Scale 2933 | ||||

Scale 2941 | Laptygic | |||

Scale 2893 | Lylian | |||

Scale 2909 | Mocryllic | |||

Scale 2861 | Katothian | |||

Scale 2989 | Bebop Minor | |||

Scale 3053 | Zycrygic | |||

Scale 2669 | Jeths' Mode | |||

Scale 2797 | Stalyllic | |||

Scale 2413 | Locrian Natural 2 | |||

Scale 3437 | ||||

Scale 3949 | Koptygic | |||

Scale 877 | Moravian Pistalkova | |||

Scale 1901 | Ionidyllic |

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.