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 Vagadhisvari

- Carnatic Raga
- Raga Bhogachayanata

- Unknown / Unsorted
- Nandkauns
- Ganavaridhi
- Chayanata

- Jazz and Blues
- Bluesy Rock 'n Roll

- Zeitler
- Ionycrian

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

Pitch Class Set | {0,3,4,5,7,9,10} |

Forte Number | 7-29 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 941 |

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 |

Propriety | Improper |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1721 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 727 | Phradian | This is the prime mode | |||

3rd mode: Scale 2411 | Aeolorian | ||||

4th mode: Scale 3253 | Mela Naganandini | ||||

5th mode: Scale 1837 | Dalian | ||||

6th mode: Scale 1483 | Mela Bhavapriya | ||||

7th mode: Scale 2789 | Zolian |

The prime form of this scale is Scale 727

Scale 727 | Phradian |

The heptatonic modal family [1721, 727, 2411, 3253, 1837, 1483, 2789] (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 1721 is 941

Scale 941 | Mela Jhankaradhvani |

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

Scale 941 | Mela Jhankaradhvani |

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

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

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

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

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

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

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

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

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

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

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

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

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 1723 | JG Octatonic | |||

Scale 1725 | Minor Bebop | |||

Scale 1713 | Raga Khamas | |||

Scale 1717 | Mixolydian | |||

Scale 1705 | Raga Manohari | |||

Scale 1689 | Lorimic | |||

Scale 1753 | Hungarian Major | |||

Scale 1785 | Tharyllic | |||

Scale 1593 | Zogimic | |||

Scale 1657 | Ionothian | |||

Scale 1849 | Chromatic Hypodorian Inverse | |||

Scale 1977 | Dagyllic | |||

Scale 1209 | Raga Bhanumanjari | |||

Scale 1465 | Mela Ragavardhani | |||

Scale 697 | Lagimic | |||

Scale 2745 | Mela Sulini | |||

Scale 3769 | Eponyllic |

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.