The Exciting Universe Of Music Theory

presents

more than you ever wanted to know about...

With the distinctive ♭2 of the Neapolitan, and the upper tones of a harmonic minor, this scale is less contentious than its sibling the Neapolitan Major

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).

- Western
- Neapolitan Minor
- Minor Neapolitan

- Carnatic Mela
- Mela Dhenuka

- Carnatic Raga
- Raga Bhinnasadjam

- Unknown / Unsorted
- Dhunibinnashadjam
- Kirvanti
- Takka

- Arabic
- Maqam Shahnaz Kurdi

- Exoticisms
- Hungarian Romani

- Zeitler
- Aerylian

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

Pitch Class Set | {0,1,3,5,7,8,11} |

Forte Number | 7-30 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2739 |

Hemitonia | 3 (trihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 6 |

Prime? | no prime: 855 |

Deep Scale | no |

Interval Vector | 343542 |

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

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

Spectra Variation | 1.714 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Improper |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 2475 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3285 | Mela Citrambari | ||||

3rd mode: Scale 1845 | Lagian | ||||

4th mode: Scale 1485 | Minor Romani | ||||

5th mode: Scale 1395 | Asian (a) | ||||

6th mode: Scale 2745 | Mela Sulini | ||||

7th mode: Scale 855 | Porian | This is the prime mode |

The prime form of this scale is Scale 855

Scale 855 | Porian |

The heptatonic modal family [2475, 3285, 1845, 1485, 1395, 2745, 855] (Forte: 7-30) is the complement of the pentatonic modal family [339, 789, 1221, 1329, 2217] (Forte: 5-30)

The inverse of a scale is a reflection using the root as its axis. The inverse of 2475 is 2739

Scale 2739 | Mela Suryakanta |

Only scales that are chiral will have an enantiomorph. Scale 2475 is chiral, and its enantiomorph is scale 2739

Scale 2739 | Mela Suryakanta |

T_{0} | 2475 | T_{0}I | 2739 | |||||

T_{1} | 855 | T_{1}I | 1383 | |||||

T_{2} | 1710 | T_{2}I | 2766 | |||||

T_{3} | 3420 | T_{3}I | 1437 | |||||

T_{4} | 2745 | T_{4}I | 2874 | |||||

T_{5} | 1395 | T_{5}I | 1653 | |||||

T_{6} | 2790 | T_{6}I | 3306 | |||||

T_{7} | 1485 | T_{7}I | 2517 | |||||

T_{8} | 2970 | T_{8}I | 939 | |||||

T_{9} | 1845 | T_{9}I | 1878 | |||||

T_{10} | 3690 | T_{10}I | 3756 | |||||

T_{11} | 3285 | T_{11}I | 3417 |

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 2473 | Raga Takka | |||

Scale 2477 | Harmonic Minor | |||

Scale 2479 | Harmonic and Neapolitan Minor Mixed | |||

Scale 2467 | Raga Padi | |||

Scale 2471 | Mela Ganamurti | |||

Scale 2483 | Double Harmonic | |||

Scale 2491 | Layllic | |||

Scale 2443 | Panimic | |||

Scale 2459 | Ionocrian | |||

Scale 2507 | Todi That | |||

Scale 2539 | Half-Diminished Bebop | |||

Scale 2347 | Raga Viyogavarali | |||

Scale 2411 | Aeolorian | |||

Scale 2219 | Phrydimic | |||

Scale 2731 | Neapolitan Major | |||

Scale 2987 | Neapolitan Major and Minor Mixed | |||

Scale 3499 | Hamel | |||

Scale 427 | Raga Suddha Simantini | |||

Scale 1451 | Phrygian |

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.