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 Raga
- Raga Rageshri
- Raga Rageshwari

- Unknown / Unsorted
- Nattaikurinji
- Natakuranji

- Zeitler
- Ionagimic

Cardinality | 6 (hexatonic) |
---|---|

Pitch Class Set | {0,2,4,5,9,10} |

Forte Number | 6-Z26 |

Rotational Symmetry | none |

Reflection Axes | 1 |

Palindromic | no |

Chirality | no |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 2 |

Modes | 5 |

Prime? | no prime: 427 |

Deep Scale | no |

Interval Vector | 232341 |

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

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

Spectra Variation | 2 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | [2] |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1589 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 1421 | Raga Trimurti | ||||

3rd mode: Scale 1379 | Kycrimic | ||||

4th mode: Scale 2737 | Raga Hari Nata | ||||

5th mode: Scale 427 | Raga Suddha Simantini | This is the prime mode | |||

6th mode: Scale 2261 | Raga Caturangini |

The prime form of this scale is Scale 427

Scale 427 | Raga Suddha Simantini |

The hexatonic modal family [1589, 1421, 1379, 2737, 427, 2261] (Forte: 6-Z26) is the complement of the hexatonic modal family [679, 917, 1253, 1337, 2387, 3241] (Forte: 6-Z48)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1589 is 1421

Scale 1421 | Raga Trimurti |

T_{0} | 1589 | T_{0}I | 1421 | |||||

T_{1} | 3178 | T_{1}I | 2842 | |||||

T_{2} | 2261 | T_{2}I | 1589 | |||||

T_{3} | 427 | T_{3}I | 3178 | |||||

T_{4} | 854 | T_{4}I | 2261 | |||||

T_{5} | 1708 | T_{5}I | 427 | |||||

T_{6} | 3416 | T_{6}I | 854 | |||||

T_{7} | 2737 | T_{7}I | 1708 | |||||

T_{8} | 1379 | T_{8}I | 3416 | |||||

T_{9} | 2758 | T_{9}I | 2737 | |||||

T_{10} | 1421 | T_{10}I | 1379 | |||||

T_{11} | 2842 | T_{11}I | 2758 |

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 1591 | Rodian | |||

Scale 1585 | Raga Khamaji Durga | |||

Scale 1587 | Raga Rudra Pancama | |||

Scale 1593 | Zogimic | |||

Scale 1597 | Aeolodian | |||

Scale 1573 | Raga Guhamanohari | |||

Scale 1581 | Raga Bagesri | |||

Scale 1557 | ||||

Scale 1621 | Scriabin's Prometheus | |||

Scale 1653 | Minor Romani Inverse | |||

Scale 1717 | Mixolydian | |||

Scale 1845 | Lagian | |||

Scale 1077 | ||||

Scale 1333 | Lyptimic | |||

Scale 565 | Aeolyphritonic | |||

Scale 2613 | Raga Hamsa Vinodini | |||

Scale 3637 | Raga Rageshri |

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.