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 Navanitam

- Carnatic Raga
- Raga Nabhomani

- Zeitler
- Dagian

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

Pitch Class Set | {0,1,2,6,7,9,10} |

Forte Number | 7-Z38 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3181 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 439 |

Deep Scale | no |

Interval Vector | 434442 |

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

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

Spectra Variation | 2.571 |

Maximally Even | no |

Maximal Area Set | no |

Interior Area | 2.299 |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1735 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2915 | Aeolydian | ||||

3rd mode: Scale 3505 | Stygian | ||||

4th mode: Scale 475 | Aeolygian | ||||

5th mode: Scale 2285 | Aerogian | ||||

6th mode: Scale 1595 | Dacrian | ||||

7th mode: Scale 2845 | Baptian |

The prime form of this scale is Scale 439

Scale 439 | Bythian |

The heptatonic modal family [1735, 2915, 3505, 475, 2285, 1595, 2845] (Forte: 7-Z38) is the complement of the pentatonic modal family [295, 625, 905, 2195, 3145] (Forte: 5-Z38)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1735 is 3181

Scale 3181 | Rolian |

Only scales that are chiral will have an enantiomorph. Scale 1735 is chiral, and its enantiomorph is scale 3181

Scale 3181 | Rolian |

T_{0} | 1735 | T_{0}I | 3181 | |||||

T_{1} | 3470 | T_{1}I | 2267 | |||||

T_{2} | 2845 | T_{2}I | 439 | |||||

T_{3} | 1595 | T_{3}I | 878 | |||||

T_{4} | 3190 | T_{4}I | 1756 | |||||

T_{5} | 2285 | T_{5}I | 3512 | |||||

T_{6} | 475 | T_{6}I | 2929 | |||||

T_{7} | 950 | T_{7}I | 1763 | |||||

T_{8} | 1900 | T_{8}I | 3526 | |||||

T_{9} | 3800 | T_{9}I | 2957 | |||||

T_{10} | 3505 | T_{10}I | 1819 | |||||

T_{11} | 2915 | T_{11}I | 3638 |

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 1733 | Raga Sarasvati | |||

Scale 1731 | ||||

Scale 1739 | Mela Sadvidhamargini | |||

Scale 1743 | Epigyllic | |||

Scale 1751 | Aeolyryllic | |||

Scale 1767 | Dyryllic | |||

Scale 1671 | ||||

Scale 1703 | Mela Vanaspati | |||

Scale 1607 | Epytimic | |||

Scale 1863 | Pycrian | |||

Scale 1991 | Phryptyllic | |||

Scale 1223 | Phryptimic | |||

Scale 1479 | Mela Jalarnava | |||

Scale 711 | Raga Chandrajyoti | |||

Scale 2759 | Mela Pavani | |||

Scale 3783 | Phrygyllic |

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.