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
- Modified Blues

- Zeitler
- Aeodian

Cardinality | 7 (heptatonic) |
---|---|

Pitch Class Set | {0,2,3,5,6,7,10} |

Forte Number | 7-27 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 1765 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 2 |

Modes | 6 |

Prime? | no prime: 695 |

Deep Scale | no |

Interval Vector | 344451 |

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

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

Spectra Variation | 2.286 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1261 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 1339 | Kycrian | ||||

3rd mode: Scale 2717 | Epygian | ||||

4th mode: Scale 1703 | Mela Vanaspati | ||||

5th mode: Scale 2899 | Kagian | ||||

6th mode: Scale 3497 | Phrolian | ||||

7th mode: Scale 949 | Mela Mararanjani |

The prime form of this scale is Scale 695

Scale 695 | Sarian |

The heptatonic modal family [1261, 1339, 2717, 1703, 2899, 3497, 949] (Forte: 7-27) is the complement of the pentatonic modal family [299, 689, 1417, 1573, 2197] (Forte: 5-27)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1261 is 1765

Scale 1765 | Lonian |

Only scales that are chiral will have an enantiomorph. Scale 1261 is chiral, and its enantiomorph is scale 1765

Scale 1765 | Lonian |

T_{0} | 1261 | T_{0}I | 1765 | |||||

T_{1} | 2522 | T_{1}I | 3530 | |||||

T_{2} | 949 | T_{2}I | 2965 | |||||

T_{3} | 1898 | T_{3}I | 1835 | |||||

T_{4} | 3796 | T_{4}I | 3670 | |||||

T_{5} | 3497 | T_{5}I | 3245 | |||||

T_{6} | 2899 | T_{6}I | 2395 | |||||

T_{7} | 1703 | T_{7}I | 695 | |||||

T_{8} | 3406 | T_{8}I | 1390 | |||||

T_{9} | 2717 | T_{9}I | 2780 | |||||

T_{10} | 1339 | T_{10}I | 1465 | |||||

T_{11} | 2678 | T_{11}I | 2930 |

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 1263 | Stynyllic | |||

Scale 1257 | Blues Scale | |||

Scale 1259 | Stadian | |||

Scale 1253 | Zolimic | |||

Scale 1269 | Katythian | |||

Scale 1277 | Zadyllic | |||

Scale 1229 | Raga Simharava | |||

Scale 1245 | Lathian | |||

Scale 1197 | Minor Hexatonic | |||

Scale 1133 | Stycrimic | |||

Scale 1389 | Minor Locrian | |||

Scale 1517 | Sagyllic | |||

Scale 1773 | Blues Scale II | |||

Scale 237 | ||||

Scale 749 | Aeologian | |||

Scale 2285 | Aerogian | |||

Scale 3309 | Bycryllic |

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.