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.

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 Shri Kalyan

- Zeitler
- Ionycritonic

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

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

Forte Number | 5-29 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1129 |

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 |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 709 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 1201 | Mixolydian Pentatonic | ||||

3rd mode: Scale 331 | Raga Chhaya Todi | This is the prime mode | |||

4th mode: Scale 2213 | Raga Desh | ||||

5th mode: Scale 1577 | Raga Chandrakauns (Kafi) |

The prime form of this scale is Scale 331

Scale 331 | Raga Chhaya Todi |

The pentatonic modal family [709, 1201, 331, 2213, 1577] (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 709 is 1129

Scale 1129 | Raga Jayakauns |

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

Scale 1129 | Raga Jayakauns |

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

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

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

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

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

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

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

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

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

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

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

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

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 711 | Raga Chandrajyoti | |||

Scale 705 | ||||

Scale 707 | ||||

Scale 713 | Thoptitonic | |||

Scale 717 | Raga Vijayanagari | |||

Scale 725 | Raga Yamuna Kalyani | |||

Scale 741 | Gathimic | |||

Scale 645 | ||||

Scale 677 | Scottish Pentatonic | |||

Scale 581 | Eporic | |||

Scale 837 | Epaditonic | |||

Scale 965 | Ionothimic | |||

Scale 197 | ||||

Scale 453 | Raditonic | |||

Scale 1221 | Epyritonic | |||

Scale 1733 | Raga Sarasvati | |||

Scale 2757 | Raga Nishadi |

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. Bibliography