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.

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 Jhankaradhvani

- Carnatic Raga
- Raga Jhankara Bhramavi

- Zeitler
- Phrorian

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

Pitch Class Set | {0,2,3,5,7,8,9} |

Forte Number | 7-29 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1721 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 2 |

Modes | 6 |

Prime? | no prime: 727 |

Deep Scale | no |

Interval Vector | 344352 |

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

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 941 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 1259 | Stadian | ||||

3rd mode: Scale 2677 | Thodian | ||||

4th mode: Scale 1693 | Dogian | ||||

5th mode: Scale 1447 | Mela Ratnangi | ||||

6th mode: Scale 2771 | Marva That | ||||

7th mode: Scale 3433 | Thonian |

The prime form of this scale is Scale 727

Scale 727 | Phradian |

The heptatonic modal family [941, 1259, 2677, 1693, 1447, 2771, 3433] (Forte: 7-29) is the complement of the pentatonic modal family [331, 709, 1201, 1577, 2213] (Forte: 5-29)

The inverse of a scale is a reflection using the root as its axis. The inverse of 941 is 1721

Scale 1721 | Mela Vagadhisvari |

Only scales that are chiral will have an enantiomorph. Scale 941 is chiral, and its enantiomorph is scale 1721

Scale 1721 | Mela Vagadhisvari |

T_{0} | 941 | T_{0}I | 1721 | |||||

T_{1} | 1882 | T_{1}I | 3442 | |||||

T_{2} | 3764 | T_{2}I | 2789 | |||||

T_{3} | 3433 | T_{3}I | 1483 | |||||

T_{4} | 2771 | T_{4}I | 2966 | |||||

T_{5} | 1447 | T_{5}I | 1837 | |||||

T_{6} | 2894 | T_{6}I | 3674 | |||||

T_{7} | 1693 | T_{7}I | 3253 | |||||

T_{8} | 3386 | T_{8}I | 2411 | |||||

T_{9} | 2677 | T_{9}I | 727 | |||||

T_{10} | 1259 | T_{10}I | 1454 | |||||

T_{11} | 2518 | T_{11}I | 2908 |

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 943 | Aerygyllic | |||

Scale 937 | Stothimic | |||

Scale 939 | Mela Senavati | |||

Scale 933 | Dadimic | |||

Scale 949 | Mela Mararanjani | |||

Scale 957 | Phronyllic | |||

Scale 909 | Katarimic | |||

Scale 925 | Chromatic Hypodorian | |||

Scale 973 | Mela Syamalangi | |||

Scale 1005 | Radyllic | |||

Scale 813 | Larimic | |||

Scale 877 | Moravian Pistalkova | |||

Scale 685 | Raga Suddha Bangala | |||

Scale 429 | Koptimic | |||

Scale 1453 | Aeolian | |||

Scale 1965 | Raga Mukhari | |||

Scale 2989 | Bebop Minor |

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. Bibliography