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).

- Carnatic Mela
- Mela Divyamani

- Zeitler
- Katadian

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

Pitch Class Set | {0,1,3,6,7,10,11} |

Forte Number | 7-Z18 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2663 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 2 (dicohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 755 |

Deep Scale | no |

Interval Vector | 434442 |

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

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

Spectra Variation | 2.571 |

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 3275 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3685 | Kodian | ||||

3rd mode: Scale 1945 | Zarian | ||||

4th mode: Scale 755 | Phrythian | This is the prime mode | |||

5th mode: Scale 2425 | Rorian | ||||

6th mode: Scale 815 | Bolian | ||||

7th mode: Scale 2455 | Bothian |

The prime form of this scale is Scale 755

Scale 755 | Phrythian |

The heptatonic modal family [3275, 3685, 1945, 755, 2425, 815, 2455] (Forte: 7-Z18) is the complement of the pentatonic modal family [179, 779, 1633, 2137, 2437] (Forte: 5-Z18)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3275 is 2663

Scale 2663 | Lalian |

Only scales that are chiral will have an enantiomorph. Scale 3275 is chiral, and its enantiomorph is scale 2663

Scale 2663 | Lalian |

T_{0} | 3275 | T_{0}I | 2663 | |||||

T_{1} | 2455 | T_{1}I | 1231 | |||||

T_{2} | 815 | T_{2}I | 2462 | |||||

T_{3} | 1630 | T_{3}I | 829 | |||||

T_{4} | 3260 | T_{4}I | 1658 | |||||

T_{5} | 2425 | T_{5}I | 3316 | |||||

T_{6} | 755 | T_{6}I | 2537 | |||||

T_{7} | 1510 | T_{7}I | 979 | |||||

T_{8} | 3020 | T_{8}I | 1958 | |||||

T_{9} | 1945 | T_{9}I | 3916 | |||||

T_{10} | 3890 | T_{10}I | 3737 | |||||

T_{11} | 3685 | T_{11}I | 3379 |

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 3273 | Raga Jivantini | |||

Scale 3277 | Mela Nitimati | |||

Scale 3279 | Pythyllic | |||

Scale 3267 | ||||

Scale 3271 | Mela Raghupriya | |||

Scale 3283 | Mela Visvambhari | |||

Scale 3291 | Lygyllic | |||

Scale 3307 | Boptyllic | |||

Scale 3211 | Epacrimic | |||

Scale 3243 | Mela Rupavati | |||

Scale 3147 | Ryrimic | |||

Scale 3403 | Bylian | |||

Scale 3531 | Neveseri | |||

Scale 3787 | Kagyllic | |||

Scale 2251 | Zodimic | |||

Scale 2763 | Mela Suvarnangi | |||

Scale 1227 | Thacrimic |

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.