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 Namanarayani

- Carnatic Raga
- Raga Narmada

- Unknown / Unsorted
- Pratapa
- Harsh Major-Minor

- Zeitler
- Rynian

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

Pitch Class Set | {0,1,4,6,7,8,10} |

Forte Number | 7-28 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2421 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 4 |

Modes | 6 |

Prime? | no prime: 747 |

Deep Scale | no |

Interval Vector | 344433 |

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

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 | 2.549 |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1491 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2793 | Eporian | ||||

3rd mode: Scale 861 | Rylian | ||||

4th mode: Scale 1239 | Epaptian | ||||

5th mode: Scale 2667 | Byrian | ||||

6th mode: Scale 3381 | Katanian | ||||

7th mode: Scale 1869 | Katyrian |

The prime form of this scale is Scale 747

Scale 747 | Lynian |

The heptatonic modal family [1491, 2793, 861, 1239, 2667, 3381, 1869] (Forte: 7-28) is the complement of the pentatonic modal family [333, 837, 1107, 1233, 2601] (Forte: 5-28)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1491 is 2421

Scale 2421 | Malian |

Only scales that are chiral will have an enantiomorph. Scale 1491 is chiral, and its enantiomorph is scale 2421

Scale 2421 | Malian |

T_{0} | 1491 | T_{0}I | 2421 | |||||

T_{1} | 2982 | T_{1}I | 747 | |||||

T_{2} | 1869 | T_{2}I | 1494 | |||||

T_{3} | 3738 | T_{3}I | 2988 | |||||

T_{4} | 3381 | T_{4}I | 1881 | |||||

T_{5} | 2667 | T_{5}I | 3762 | |||||

T_{6} | 1239 | T_{6}I | 3429 | |||||

T_{7} | 2478 | T_{7}I | 2763 | |||||

T_{8} | 861 | T_{8}I | 1431 | |||||

T_{9} | 1722 | T_{9}I | 2862 | |||||

T_{10} | 3444 | T_{10}I | 1629 | |||||

T_{11} | 2793 | T_{11}I | 3258 |

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 1489 | Raga Jyoti | |||

Scale 1493 | Lydian Minor | |||

Scale 1495 | Messiaen Mode 6 | |||

Scale 1499 | Bebop Locrian | |||

Scale 1475 | ||||

Scale 1483 | Mela Bhavapriya | |||

Scale 1507 | Zynian | |||

Scale 1523 | Zothyllic | |||

Scale 1427 | Lolimic | |||

Scale 1459 | Phrygian Dominant | |||

Scale 1363 | Gygimic | |||

Scale 1235 | Messiaen Truncated Mode 2 | |||

Scale 1747 | Mela Ramapriya | |||

Scale 2003 | Podyllic | |||

Scale 467 | Raga Dhavalangam | |||

Scale 979 | Mela Dhavalambari | |||

Scale 2515 | Chromatic Hypolydian | |||

Scale 3539 | Aeoryllic |

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.