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).

- Zeitler
- Stothitonic

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

Pitch Class Set | {0,2,3,6,10} |

Forte Number | 5-26 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1605 |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 4 |

Prime? | no prime: 309 |

Deep Scale | no |

Interval Vector | 122311 |

Interval Spectrum | pm^{3}n^{2}s^{2}dt |

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

Spectra Variation | 2.8 |

Maximally Even | no |

Maximal Area Set | no |

Interior Area | 2.049 |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1101 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 1299 | Aerophitonic | ||||

3rd mode: Scale 2697 | Katagitonic | ||||

4th mode: Scale 849 | Aerynitonic | ||||

5th mode: Scale 309 | Palitonic | This is the prime mode |

The prime form of this scale is Scale 309

Scale 309 | Palitonic |

The pentatonic modal family [1101, 1299, 2697, 849, 309] (Forte: 5-26) is the complement of the heptatonic modal family [699, 1497, 1623, 1893, 2397, 2859, 3477] (Forte: 7-26)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1101 is 1605

Scale 1605 | Zanitonic |

Only scales that are chiral will have an enantiomorph. Scale 1101 is chiral, and its enantiomorph is scale 1605

Scale 1605 | Zanitonic |

T_{0} | 1101 | T_{0}I | 1605 | |||||

T_{1} | 2202 | T_{1}I | 3210 | |||||

T_{2} | 309 | T_{2}I | 2325 | |||||

T_{3} | 618 | T_{3}I | 555 | |||||

T_{4} | 1236 | T_{4}I | 1110 | |||||

T_{5} | 2472 | T_{5}I | 2220 | |||||

T_{6} | 849 | T_{6}I | 345 | |||||

T_{7} | 1698 | T_{7}I | 690 | |||||

T_{8} | 3396 | T_{8}I | 1380 | |||||

T_{9} | 2697 | T_{9}I | 2760 | |||||

T_{10} | 1299 | T_{10}I | 1425 | |||||

T_{11} | 2598 | T_{11}I | 2850 |

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 1103 | Lynimic | |||

Scale 1097 | Aeraphic | |||

Scale 1099 | Dyritonic | |||

Scale 1093 | Lydic | |||

Scale 1109 | Kataditonic | |||

Scale 1117 | Raptimic | |||

Scale 1133 | Stycrimic | |||

Scale 1037 | Warao Tetratonic | |||

Scale 1069 | ||||

Scale 1165 | Gycritonic | |||

Scale 1229 | Raga Simharava | |||

Scale 1357 | Takemitsu Linea Mode 2 | |||

Scale 1613 | Thylimic | |||

Scale 77 | ||||

Scale 589 | Ionalitonic | |||

Scale 2125 | ||||

Scale 3149 | Phrycrimic |

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.