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).

- Carnatic Raga
- Raga Gauri

- Zeitler
- Ionythitonic

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

Pitch Class Set | {0,1,5,7,11} |

Forte Number | 5-15 |

Rotational Symmetry | none |

Reflection Axes | 0 |

Palindromic | yes |

Chirality | no |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 4 |

Prime? | no prime: 327 |

Deep Scale | no |

Interval Vector | 220222 |

Interval Spectrum | p^{2}m^{2}s^{2}d^{2}t^{2} |

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

Spectra Variation | 2.8 |

Maximally Even | no |

Maximal Area Set | no |

Interior Area | 1.799 |

Myhill Property | no |

Balanced | no |

Ridge Tones | [0] |

Propriety | Improper |

Heliotonic | no |

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.

Modes are the rotational transformation of this scale. Scale 2211 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 3153 | Zathitonic | ||||

3rd mode: Scale 453 | Raditonic | ||||

4th mode: Scale 1137 | Stonitonic | ||||

5th mode: Scale 327 | Syptitonic | This is the prime mode |

The prime form of this scale is Scale 327

Scale 327 | Syptitonic |

The pentatonic modal family [2211, 3153, 453, 1137, 327] (Forte: 5-15) is the complement of the heptatonic modal family [471, 1479, 1821, 2283, 2787, 3189, 3441] (Forte: 7-15)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2211 is itself, because it is a palindromic scale!

Scale 2211 | Raga Gauri |

T_{0} | 2211 | T_{0}I | 2211 | |||||

T_{1} | 327 | T_{1}I | 327 | |||||

T_{2} | 654 | T_{2}I | 654 | |||||

T_{3} | 1308 | T_{3}I | 1308 | |||||

T_{4} | 2616 | T_{4}I | 2616 | |||||

T_{5} | 1137 | T_{5}I | 1137 | |||||

T_{6} | 2274 | T_{6}I | 2274 | |||||

T_{7} | 453 | T_{7}I | 453 | |||||

T_{8} | 906 | T_{8}I | 906 | |||||

T_{9} | 1812 | T_{9}I | 1812 | |||||

T_{10} | 3624 | T_{10}I | 3624 | |||||

T_{11} | 3153 | T_{11}I | 3153 |

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 2209 | ||||

Scale 2213 | Raga Desh | |||

Scale 2215 | Ranimic | |||

Scale 2219 | Phrydimic | |||

Scale 2227 | Raga Gaula | |||

Scale 2179 | ||||

Scale 2195 | Zalitonic | |||

Scale 2243 | ||||

Scale 2275 | Messiaen Mode 5 | |||

Scale 2083 | ||||

Scale 2147 | ||||

Scale 2339 | Raga Kshanika | |||

Scale 2467 | Raga Padi | |||

Scale 2723 | Raga Jivantika | |||

Scale 3235 | Pothimic | |||

Scale 163 | ||||

Scale 1187 | Kokin-joshi |

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.