The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

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).

- Carnatic Raga
- Raga Ramkali
- Raga Ramakri

- Zeitler
- Bythyllic

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

Pitch Class Set | {0,1,4,5,6,7,8,11} |

Forte Number | 8-8 |

Rotational Symmetry | none |

Reflection Axes | 0 |

Palindromic | yes |

Chirality | no |

Hemitonia | 6 (multihemitonic) |

Cohemitonia | 4 (multicohemitonic) |

Imperfections | 2 |

Modes | 7 |

Prime? | no prime: 927 |

Deep Scale | no |

Interval Vector | 644563 |

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

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

Spectra Variation | 2 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [0] |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 2547 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode: Scale 3321 | Epagyllic | ||||

3rd mode: Scale 927 | Gaptyllic | This is the prime mode | |||

4th mode: Scale 2511 | Aeroptyllic | ||||

5th mode: Scale 3303 | Mylyllic | ||||

6th mode: Scale 3699 | Galyllic | ||||

7th mode: Scale 3897 | Kalyllic | ||||

8th mode: Scale 999 | Ionodyllic |

The prime form of this scale is Scale 927

Scale 927 | Gaptyllic |

The octatonic modal family [2547, 3321, 927, 2511, 3303, 3699, 3897, 999] (Forte: 8-8) is the complement of the tetratonic modal family [99, 387, 2097, 2241] (Forte: 4-8)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2547 is itself, because it is a palindromic scale!

Scale 2547 | Raga Ramkali |

T_{0} | 2547 | T_{0}I | 2547 | |||||

T_{1} | 999 | T_{1}I | 999 | |||||

T_{2} | 1998 | T_{2}I | 1998 | |||||

T_{3} | 3996 | T_{3}I | 3996 | |||||

T_{4} | 3897 | T_{4}I | 3897 | |||||

T_{5} | 3699 | T_{5}I | 3699 | |||||

T_{6} | 3303 | T_{6}I | 3303 | |||||

T_{7} | 2511 | T_{7}I | 2511 | |||||

T_{8} | 927 | T_{8}I | 927 | |||||

T_{9} | 1854 | T_{9}I | 1854 | |||||

T_{10} | 3708 | T_{10}I | 3708 | |||||

T_{11} | 3321 | T_{11}I | 3321 |

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 2545 | Thycrian | |||

Scale 2549 | Rydyllic | |||

Scale 2551 | Thocrygic | |||

Scale 2555 | Bythygic | |||

Scale 2531 | Danian | |||

Scale 2539 | Half-Diminished Bebop | |||

Scale 2515 | Chromatic Hypolydian | |||

Scale 2483 | Double Harmonic | |||

Scale 2419 | Raga Lalita | |||

Scale 2291 | Zydian | |||

Scale 2803 | Raga Bhatiyar | |||

Scale 3059 | Madygic | |||

Scale 3571 | Dyrygic | |||

Scale 499 | Ionaptian | |||

Scale 1523 | Zothyllic |

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.