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 Jayakauns

- Zeitler
- Phrynitonic

Cardinality | 5 (pentatonic) |
---|---|

Pitch Class Set | {0,3,5,6,10} |

Forte Number | 5-29 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 709 |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 2 |

Modes | 4 |

Prime? | no prime: 331 |

Deep Scale | no |

Interval Vector | 122131 |

Interval Spectrum | p^{3}mn^{2}s^{2}dt |

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

Spectra Variation | 2.4 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1129 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 653 | Dorian Pentatonic | ||||

3rd mode: Scale 1187 | Kokin-joshi | ||||

4th mode: Scale 2641 | Raga Hindol | ||||

5th mode: Scale 421 | Han-kumoi |

The prime form of this scale is Scale 331

Scale 331 | Raga Chhaya Todi |

The pentatonic modal family [1129, 653, 1187, 2641, 421] (Forte: 5-29) is the complement of the heptatonic modal family [727, 1483, 1721, 1837, 2411, 2789, 3253] (Forte: 7-29)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1129 is 709

Scale 709 | Raga Shri Kalyan |

Only scales that are chiral will have an enantiomorph. Scale 1129 is chiral, and its enantiomorph is scale 709

Scale 709 | Raga Shri Kalyan |

T_{0} | 1129 | T_{0}I | 709 | |||||

T_{1} | 2258 | T_{1}I | 1418 | |||||

T_{2} | 421 | T_{2}I | 2836 | |||||

T_{3} | 842 | T_{3}I | 1577 | |||||

T_{4} | 1684 | T_{4}I | 3154 | |||||

T_{5} | 3368 | T_{5}I | 2213 | |||||

T_{6} | 2641 | T_{6}I | 331 | |||||

T_{7} | 1187 | T_{7}I | 662 | |||||

T_{8} | 2374 | T_{8}I | 1324 | |||||

T_{9} | 653 | T_{9}I | 2648 | |||||

T_{10} | 1306 | T_{10}I | 1201 | |||||

T_{11} | 2612 | T_{11}I | 2402 |

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 1131 | Honchoshi Plagal Form | |||

Scale 1133 | Stycrimic | |||

Scale 1121 | ||||

Scale 1125 | Ionaritonic | |||

Scale 1137 | Stonitonic | |||

Scale 1145 | Zygimic | |||

Scale 1097 | Aeraphic | |||

Scale 1113 | Locrian Pentatonic 2 | |||

Scale 1065 | ||||

Scale 1193 | Minor Pentatonic | |||

Scale 1257 | Blues Scale | |||

Scale 1385 | Phracrimic | |||

Scale 1641 | Bocrimic | |||

Scale 105 | ||||

Scale 617 | Katycritonic | |||

Scale 2153 | ||||

Scale 3177 | Rothimic |

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.