The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

- Western
- Phrygian

- Ancient Greek
- Greek Dorian
- Greek Medieval Hypoaeolian

- Medieval
- Medieval Phrygian

- Unknown / Unsorted
- Neapolitan Minor
- Bilashkhani Todi
- Ghanta
- In

- Hindustani
- Bhairavi That
- Bhairavi Theta

- Carnatic Mela
- Mela Hanumatodi

- Carnatic Raga
- Raga Asavari
- Raga Asaveri

- Turkish
- Makam Kurd

- Gregorian Numbered
- Gregorian Number 3

- Japanese
- Zokuso

- Modern Greek
- Ousak

- Western Modern
- Major Inverse

- Zeitler
- Phrygian

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

Pitch Class Set | {0,1,3,5,7,8,10} |

Forte Number | 7-35 |

Rotational Symmetry | none |

Reflection Axes | 4 |

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 | [8] |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 1451 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 2773 | Lydian | ||||

3rd mode: Scale 1717 | Mixolydian | ||||

4th mode: Scale 1453 | Aeolian | ||||

5th mode: Scale 1387 | Locrian | This is the prime mode | |||

6th mode: Scale 2741 | Major | ||||

7th mode: Scale 1709 | Dorian |

The prime form of this scale is Scale 1387

Scale 1387 | Locrian |

The heptatonic modal family [1451, 2773, 1717, 1453, 1387, 2741, 1709] (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 1451 is 2741

Scale 2741 | Major |

T_{0} | 1451 | T_{0}I | 2741 | |||||

T_{1} | 2902 | T_{1}I | 1387 | |||||

T_{2} | 1709 | T_{2}I | 2774 | |||||

T_{3} | 3418 | T_{3}I | 1453 | |||||

T_{4} | 2741 | T_{4}I | 2906 | |||||

T_{5} | 1387 | T_{5}I | 1717 | |||||

T_{6} | 2774 | T_{6}I | 3434 | |||||

T_{7} | 1453 | T_{7}I | 2773 | |||||

T_{8} | 2906 | T_{8}I | 1451 | |||||

T_{9} | 1717 | T_{9}I | 2902 | |||||

T_{10} | 3434 | T_{10}I | 1709 | |||||

T_{11} | 2773 | T_{11}I | 3418 |

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 1449 | Raga Gopikavasantam | |||

Scale 1453 | Aeolian | |||

Scale 1455 | Phrygiolian | |||

Scale 1443 | Raga Phenadyuti | |||

Scale 1447 | Mela Ratnangi | |||

Scale 1459 | Phrygian Dominant | |||

Scale 1467 | Spanish Phrygian | |||

Scale 1419 | Raga Kashyapi | |||

Scale 1435 | Makam Huzzam | |||

Scale 1483 | Mela Bhavapriya | |||

Scale 1515 | Phrygian/Locrian Mixed | |||

Scale 1323 | Ritsu | |||

Scale 1387 | Locrian | |||

Scale 1195 | Raga Gandharavam | |||

Scale 1707 | Dorian Flat 2 | |||

Scale 1963 | Epocryllic | |||

Scale 427 | Raga Suddha Simantini | |||

Scale 939 | Mela Senavati | |||

Scale 2475 | Neapolitan Minor | |||

Scale 3499 | Hamel |

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