The Exciting Universe Of Music Theory

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- Western
- Mixolydian

- Ancient Greek
- Greek Hypophrygian
- Greek Ionian
- Greek Iastian
- Greek Hypoerlydian
- Greek Medieval Hypoionian

- Medieval
- Medieval Mixolydian

- Western Modern
- Hypermixolydian

- Hindustani
- Khamaj That
- Khamaj Theta

- Carnatic Mela
- Mela Harikambhoji

- Carnatic Raga
- Raga Harini

- Unknown / Unsorted
- Janjhuti
- Khambhavati
- Surati
- Balahamsa
- Devamanohari
- Mischung 3
- Enharmonic Byzantine Liturgical
- Rast Descending
- Ching

- Gregorian Numbered
- Gregorian Number 7

- Chinese
- Shang

- Zeitler
- Mixolydian

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

Pitch Class Set | {0,2,4,5,7,9,10} |

Forte Number | 7-35 |

Rotational Symmetry | none |

Reflection Axes | 1 |

Palindromic | no |

Chirality | no |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 1 |

Modes | 6 |

Prime? | no prime: 1387 |

Deep Scale | yes |

Interval Vector | 254361 |

Interval Spectrum | p^{6}m^{3}n^{4}s^{5}d^{2}t |

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

Spectra Variation | 0.857 |

Maximally Even | yes |

Myhill Property | yes |

Balanced | no |

Ridge Tones | [2] |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1717 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 1453 | Aeolian | ||||

3rd mode: Scale 1387 | Locrian | This is the prime mode | |||

4th mode: Scale 2741 | Major | ||||

5th mode: Scale 1709 | Dorian | ||||

6th mode: Scale 1451 | Phrygian | ||||

7th mode: Scale 2773 | Lydian |

The prime form of this scale is Scale 1387

Scale 1387 | Locrian |

The heptatonic modal family [1717, 1453, 1387, 2741, 1709, 1451, 2773] (Forte: 7-35) is the complement of the pentatonic modal family [661, 677, 1189, 1193, 1321] (Forte: 5-35)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1717 is 1453

Scale 1453 | Aeolian |

T_{0} | 1717 | T_{0}I | 1453 | |||||

T_{1} | 3434 | T_{1}I | 2906 | |||||

T_{2} | 2773 | T_{2}I | 1717 | |||||

T_{3} | 1451 | T_{3}I | 3434 | |||||

T_{4} | 2902 | T_{4}I | 2773 | |||||

T_{5} | 1709 | T_{5}I | 1451 | |||||

T_{6} | 3418 | T_{6}I | 2902 | |||||

T_{7} | 2741 | T_{7}I | 1709 | |||||

T_{8} | 1387 | T_{8}I | 3418 | |||||

T_{9} | 2774 | T_{9}I | 2741 | |||||

T_{10} | 1453 | T_{10}I | 1387 | |||||

T_{11} | 2906 | T_{11}I | 2774 |

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 1719 | Lyryllic | |||

Scale 1713 | Raga Khamas | |||

Scale 1715 | Harmonic Minor Inverse | |||

Scale 1721 | Mela Vagadhisvari | |||

Scale 1725 | Minor Bebop | |||

Scale 1701 | Dominant Seventh | |||

Scale 1709 | Dorian | |||

Scale 1685 | Zeracrimic | |||

Scale 1749 | Acoustic | |||

Scale 1781 | Gocryllic | |||

Scale 1589 | Raga Rageshri | |||

Scale 1653 | Minor Romani Inverse | |||

Scale 1845 | Lagian | |||

Scale 1973 | Zyryllic | |||

Scale 1205 | Raga Siva Kambhoji | |||

Scale 1461 | Major-Minor | |||

Scale 693 | Arezzo Major Diatonic Hexachord | |||

Scale 2741 | Major | |||

Scale 3765 | Dominant Bebop |

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. Bibliography