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).

- Zeitler
- Loritonic

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

Pitch Class Set | {0,1,5,8,9} |

Forte Number | 5-21 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2201 |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 3 |

Modes | 4 |

Prime? | no prime: 307 |

Deep Scale | no |

Interval Vector | 202420 |

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

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

Spectra Variation | 2.4 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 803 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 2449 | Zacritonic | ||||

3rd mode: Scale 409 | Laritonic | ||||

4th mode: Scale 563 | Thacritonic | ||||

5th mode: Scale 2329 | Styditonic |

The prime form of this scale is Scale 307

Scale 307 | Raga Megharanjani |

The pentatonic modal family [803, 2449, 409, 563, 2329] (Forte: 5-21) is the complement of the heptatonic modal family [823, 883, 1843, 2459, 2489, 2969, 3277] (Forte: 7-21)

The inverse of a scale is a reflection using the root as its axis. The inverse of 803 is 2201

Scale 2201 | Ionagitonic |

Only scales that are chiral will have an enantiomorph. Scale 803 is chiral, and its enantiomorph is scale 2201

Scale 2201 | Ionagitonic |

T_{0} | 803 | T_{0}I | 2201 | |||||

T_{1} | 1606 | T_{1}I | 307 | |||||

T_{2} | 3212 | T_{2}I | 614 | |||||

T_{3} | 2329 | T_{3}I | 1228 | |||||

T_{4} | 563 | T_{4}I | 2456 | |||||

T_{5} | 1126 | T_{5}I | 817 | |||||

T_{6} | 2252 | T_{6}I | 1634 | |||||

T_{7} | 409 | T_{7}I | 3268 | |||||

T_{8} | 818 | T_{8}I | 2441 | |||||

T_{9} | 1636 | T_{9}I | 787 | |||||

T_{10} | 3272 | T_{10}I | 1574 | |||||

T_{11} | 2449 | T_{11}I | 3148 |

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 801 | ||||

Scale 805 | Rothitonic | |||

Scale 807 | Raga Suddha Mukhari | |||

Scale 811 | Radimic | |||

Scale 819 | Augmented Inverse | |||

Scale 771 | ||||

Scale 787 | Aeolapritonic | |||

Scale 835 | ||||

Scale 867 | Phrocrimic | |||

Scale 931 | Raga Kalakanthi | |||

Scale 547 | Pyrric | |||

Scale 675 | Altered Pentatonic | |||

Scale 291 | Raga Lavangi | |||

Scale 1315 | Pyritonic | |||

Scale 1827 | Katygimic | |||

Scale 2851 | Katoptimic |

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.