The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

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).

- Exoticisms
- Scottish Pentatonic

- Jazz and Blues
- Blues Major

- Unknown / Unsorted
- Ritusen
- Ritsu
- Gagaku
- Ujo
- Bac
- Lai Soutsanaen
- Lai Po Sai
- Lai Soi
- Durga
- Suddha Saveri
- Arabhi

- Chinese
- Zhi
- Zhîdiào

- Korean
- P'yôngjo

- Carnatic Raga
- Raga Devakriya

- Western Modern
- Major Complement

- Ethiopian
- Ambassel Type 2

- Zeitler
- Mynitonic

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

Pitch Class Set | {0,2,5,7,9} |

Forte Number | 5-35 |

Rotational Symmetry | none |

Reflection Axes | 1 |

Palindromic | no |

Chirality | no |

Hemitonia | 0 (anhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 1 |

Modes | 4 |

Prime? | no prime: 661 |

Deep Scale | no |

Interval Vector | 032140 |

Interval Spectrum | p^{4}mn^{2}s^{3} |

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

Spectra Variation | 0.8 |

Maximally Even | yes |

Myhill Property | yes |

Balanced | no |

Ridge Tones | [2] |

Propriety | Strictly Proper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 677 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 1193 | Minor Pentatonic | ||||

3rd mode: Scale 661 | Major Pentatonic | This is the prime mode | |||

4th mode: Scale 1189 | Suspended Pentatonic | ||||

5th mode: Scale 1321 | Blues Minor |

The prime form of this scale is Scale 661

Scale 661 | Major Pentatonic |

The pentatonic modal family [677, 1193, 661, 1189, 1321] (Forte: 5-35) is the complement of the heptatonic modal family [1387, 1451, 1453, 1709, 1717, 2741, 2773] (Forte: 7-35)

The inverse of a scale is a reflection using the root as its axis. The inverse of 677 is 1193

Scale 1193 | Minor Pentatonic |

T_{0} | 677 | T_{0}I | 1193 | |||||

T_{1} | 1354 | T_{1}I | 2386 | |||||

T_{2} | 2708 | T_{2}I | 677 | |||||

T_{3} | 1321 | T_{3}I | 1354 | |||||

T_{4} | 2642 | T_{4}I | 2708 | |||||

T_{5} | 1189 | T_{5}I | 1321 | |||||

T_{6} | 2378 | T_{6}I | 2642 | |||||

T_{7} | 661 | T_{7}I | 1189 | |||||

T_{8} | 1322 | T_{8}I | 2378 | |||||

T_{9} | 2644 | T_{9}I | 661 | |||||

T_{10} | 1193 | T_{10}I | 1322 | |||||

T_{11} | 2386 | T_{11}I | 2644 |

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 679 | Lanimic | |||

Scale 673 | ||||

Scale 675 | Altered Pentatonic | |||

Scale 681 | Kyemyonjo | |||

Scale 685 | Raga Suddha Bangala | |||

Scale 693 | Arezzo Major Diatonic Hexachord | |||

Scale 645 | ||||

Scale 661 | Major Pentatonic | |||

Scale 709 | Raga Shri Kalyan | |||

Scale 741 | Gathimic | |||

Scale 549 | Raga Bhavani | |||

Scale 613 | Phralitonic | |||

Scale 805 | Rothitonic | |||

Scale 933 | Dadimic | |||

Scale 165 | Genus Primum | |||

Scale 421 | Han-kumoi | |||

Scale 1189 | Suspended Pentatonic | |||

Scale 1701 | Dominant Seventh | |||

Scale 2725 | Raga Nagagandhari |

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.