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).

- Hindustani
- Todi That
- Todi Theta

- Carnatic Mela
- Mela Shubhapantuvarali

- Carnatic Raga
- Raga Multani
- Gamakasamantam

- Western Modern
- Harsh Minor

- Western Chromatic
- Chromatic Lydian Inverse

- Arabic
- Maqam Athar Kurd

- Zeitler
- Ionyphian

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

Pitch Class Set | {0,1,3,6,7,8,11} |

Forte Number | 7-20 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2675 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 2 |

Modes | 6 |

Prime? | no prime: 743 |

Deep Scale | no |

Interval Vector | 433452 |

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

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

Spectra Variation | 2 |

Maximally Even | no |

Maximal Area Set | no |

Interior Area | 2.433 |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2507 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3301 | Chromatic Mixolydian Inverse | ||||

3rd mode: Scale 1849 | Chromatic Hypodorian Inverse | ||||

4th mode: Scale 743 | Chromatic Hypophrygian Inverse | This is the prime mode | |||

5th mode: Scale 2419 | Raga Lalita | ||||

6th mode: Scale 3257 | Mela Calanata | ||||

7th mode: Scale 919 | Chromatic Phrygian Inverse |

The prime form of this scale is Scale 743

Scale 743 | Chromatic Hypophrygian Inverse |

The heptatonic modal family [2507, 3301, 1849, 743, 2419, 3257, 919] (Forte: 7-20) is the complement of the pentatonic modal family [355, 395, 1585, 2225, 2245] (Forte: 5-20)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2507 is 2675

Scale 2675 | Chromatic Lydian |

Only scales that are chiral will have an enantiomorph. Scale 2507 is chiral, and its enantiomorph is scale 2675

Scale 2675 | Chromatic Lydian |

T_{0} | 2507 | T_{0}I | 2675 | |||||

T_{1} | 919 | T_{1}I | 1255 | |||||

T_{2} | 1838 | T_{2}I | 2510 | |||||

T_{3} | 3676 | T_{3}I | 925 | |||||

T_{4} | 3257 | T_{4}I | 1850 | |||||

T_{5} | 2419 | T_{5}I | 3700 | |||||

T_{6} | 743 | T_{6}I | 3305 | |||||

T_{7} | 1486 | T_{7}I | 2515 | |||||

T_{8} | 2972 | T_{8}I | 935 | |||||

T_{9} | 1849 | T_{9}I | 1870 | |||||

T_{10} | 3698 | T_{10}I | 3740 | |||||

T_{11} | 3301 | T_{11}I | 3385 |

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 2505 | Mydimic | |||

Scale 2509 | Double Harmonic Minor | |||

Scale 2511 | Aeroptyllic | |||

Scale 2499 | ||||

Scale 2503 | Mela Jhalavarali | |||

Scale 2515 | Chromatic Hypolydian | |||

Scale 2523 | Rygyllic | |||

Scale 2539 | Half-Diminished Bebop | |||

Scale 2443 | Panimic | |||

Scale 2475 | Neapolitan Minor | |||

Scale 2379 | Raga Gurjari Todi | |||

Scale 2251 | Zodimic | |||

Scale 2763 | Mela Suvarnangi | |||

Scale 3019 | ||||

Scale 3531 | Neveseri | |||

Scale 459 | Zaptimic | |||

Scale 1483 | Mela Bhavapriya |

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.