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).

- Western Modern
- Minor Hexatonic

- Carnatic Raga
- Raga Manirangu

- Unknown / Unsorted
- Nayaki
- Palasi
- Pushpalithika
- Puspalatika
- Suha Sughrai
- Yo

- Exoticisms
- Eskimo Hexatonic 1

- Zeitler
- Rocrimic

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

Pitch Class Set | {0,2,3,5,7,10} |

Forte Number | 6-32 |

Rotational Symmetry | none |

Reflection Axes | 2.5 |

Palindromic | no |

Chirality | no |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 1 |

Modes | 5 |

Prime? | no prime: 693 |

Deep Scale | yes |

Interval Vector | 143250 |

Interval Spectrum | p^{5}m^{2}n^{3}s^{4}d |

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

Spectra Variation | 1.667 |

Maximally Even | no |

Maximal Area Set | no |

Interior Area | 2.482 |

Myhill Property | no |

Balanced | no |

Ridge Tones | [5] |

Propriety | Proper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1197 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 1323 | Ritsu | ||||

3rd mode: Scale 2709 | Raga Kumud | ||||

4th mode: Scale 1701 | Dominant Seventh | ||||

5th mode: Scale 1449 | Raga Gopikavasantam | ||||

6th mode: Scale 693 | Arezzo Major Diatonic Hexachord | This is the prime mode |

The prime form of this scale is Scale 693

Scale 693 | Arezzo Major Diatonic Hexachord |

The hexatonic modal family [1197, 1323, 2709, 1701, 1449, 693] (Forte: 6-32) is the complement of the hexatonic modal family [693, 1197, 1323, 1449, 1701, 2709] (Forte: 6-32)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1197 is 1701

Scale 1701 | Dominant Seventh |

T_{0} | 1197 | T_{0}I | 1701 | |||||

T_{1} | 2394 | T_{1}I | 3402 | |||||

T_{2} | 693 | T_{2}I | 2709 | |||||

T_{3} | 1386 | T_{3}I | 1323 | |||||

T_{4} | 2772 | T_{4}I | 2646 | |||||

T_{5} | 1449 | T_{5}I | 1197 | |||||

T_{6} | 2898 | T_{6}I | 2394 | |||||

T_{7} | 1701 | T_{7}I | 693 | |||||

T_{8} | 3402 | T_{8}I | 1386 | |||||

T_{9} | 2709 | T_{9}I | 2772 | |||||

T_{10} | 1323 | T_{10}I | 1449 | |||||

T_{11} | 2646 | T_{11}I | 2898 |

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 1199 | Magian | |||

Scale 1193 | Minor Pentatonic | |||

Scale 1195 | Raga Gandharavam | |||

Scale 1189 | Suspended Pentatonic | |||

Scale 1205 | Raga Siva Kambhoji | |||

Scale 1213 | Gyrian | |||

Scale 1165 | Gycritonic | |||

Scale 1181 | Katagimic | |||

Scale 1229 | Raga Simharava | |||

Scale 1261 | Modified Blues | |||

Scale 1069 | ||||

Scale 1133 | Stycrimic | |||

Scale 1325 | Phradimic | |||

Scale 1453 | Aeolian | |||

Scale 1709 | Dorian | |||

Scale 173 | Raga Purnalalita | |||

Scale 685 | Raga Suddha Bangala | |||

Scale 2221 | Raga Sindhura Kafi | |||

Scale 3245 | Mela Varunapriya |

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.