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).

- Jazz and Blues
- Bebop Locrian

- Western Modern
- Altered Dominant B

- Zeitler
- Stonyllic

Cardinality | 8 (octatonic) |
---|---|

Pitch Class Set | {0,1,3,4,6,7,8,10} |

Forte Number | 8-27 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2933 |

Hemitonia | 4 (multihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 7 |

Prime? | no prime: 1463 |

Deep Scale | no |

Interval Vector | 456553 |

Interval Spectrum | p^{5}m^{5}n^{6}s^{5}d^{4}t^{3} |

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

Spectra Variation | 1.25 |

Maximally Even | no |

Maximal Area Set | yes |

Interior Area | 2.732 |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Proper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1499 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode: Scale 2797 | Stalyllic | ||||

3rd mode: Scale 1723 | JG Octatonic | ||||

4th mode: Scale 2909 | Mocryllic | ||||

5th mode: Scale 1751 | Aeolyryllic | ||||

6th mode: Scale 2923 | Baryllic | ||||

7th mode: Scale 3509 | Stogyllic | ||||

8th mode: Scale 1901 | Ionidyllic |

The prime form of this scale is Scale 1463

Scale 1463 |

The octatonic modal family [1499, 2797, 1723, 2909, 1751, 2923, 3509, 1901] (Forte: 8-27) is the complement of the tetratonic modal family [293, 593, 649, 1097] (Forte: 4-27)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1499 is 2933

Scale 2933 |

Only scales that are chiral will have an enantiomorph. Scale 1499 is chiral, and its enantiomorph is scale 2933

Scale 2933 |

T_{0} | 1499 | T_{0}I | 2933 | |||||

T_{1} | 2998 | T_{1}I | 1771 | |||||

T_{2} | 1901 | T_{2}I | 3542 | |||||

T_{3} | 3802 | T_{3}I | 2989 | |||||

T_{4} | 3509 | T_{4}I | 1883 | |||||

T_{5} | 2923 | T_{5}I | 3766 | |||||

T_{6} | 1751 | T_{6}I | 3437 | |||||

T_{7} | 3502 | T_{7}I | 2779 | |||||

T_{8} | 2909 | T_{8}I | 1463 | |||||

T_{9} | 1723 | T_{9}I | 2926 | |||||

T_{10} | 3446 | T_{10}I | 1757 | |||||

T_{11} | 2797 | T_{11}I | 3514 |

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 1497 | Mela Jyotisvarupini | |||

Scale 1501 | Stygyllic | |||

Scale 1503 | Epiryllian | |||

Scale 1491 | Mela Namanarayani | |||

Scale 1495 | Messiaen Mode 6 | |||

Scale 1483 | Mela Bhavapriya | |||

Scale 1515 | Phrygian/Locrian Mixed | |||

Scale 1531 | Styptygic | |||

Scale 1435 | Makam Huzzam | |||

Scale 1467 | Spanish Phrygian | |||

Scale 1371 | Superlocrian | |||

Scale 1243 | Epylian | |||

Scale 1755 | Octatonic | |||

Scale 2011 | Raphygic | |||

Scale 475 | Aeolygian | |||

Scale 987 | Aeraptyllic | |||

Scale 2523 | Rygyllic | |||

Scale 3547 | Sadygic |

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.