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Scale 2475: "Neapolitan Minor"

Scale 2475: Neapolitan Minor, Ian Ring Music Theory

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


Bracelet Diagram

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 Diagram

41161837294116105072918310504116183
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).

Common Names

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

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,5,7,8,11}
Forte Number7-30
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2739
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 855
Deep Scaleno
Interval Vector343542
Interval Spectrump4m5n3s4d3t2
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 Variation1.714
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

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
Scale 3285: Mela Citrambari, Ian Ring Music TheoryMela Citrambari
3rd mode:
Scale 1845
Scale 1845: Lagian, Ian Ring Music TheoryLagian
4th mode:
Scale 1485
Scale 1485: Minor Romani, Ian Ring Music TheoryMinor Romani
5th mode:
Scale 1395
Scale 1395: Asian (a), Ian Ring Music TheoryAsian (a)
6th mode:
Scale 2745
Scale 2745: Mela Sulini, Ian Ring Music TheoryMela Sulini
7th mode:
Scale 855
Scale 855: Porian, Ian Ring Music TheoryPorianThis is the prime mode

Prime

The prime form of this scale is Scale 855

Scale 855Scale 855: Porian, Ian Ring Music TheoryPorian

Complement

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)

Inverse

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

Scale 2739Scale 2739: Mela Suryakanta, Ian Ring Music TheoryMela Suryakanta

Enantiomorph

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

Scale 2739Scale 2739: Mela Suryakanta, Ian Ring Music TheoryMela Suryakanta

Transformations:

T0 2475  T0I 2739
T1 855  T1I 1383
T2 1710  T2I 2766
T3 3420  T3I 1437
T4 2745  T4I 2874
T5 1395  T5I 1653
T6 2790  T6I 3306
T7 1485  T7I 2517
T8 2970  T8I 939
T9 1845  T9I 1878
T10 3690  T10I 3756
T11 3285  T11I 3417

Nearby Scales:

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 2473Scale 2473: Raga Takka, Ian Ring Music TheoryRaga Takka
Scale 2477Scale 2477: Harmonic Minor, Ian Ring Music TheoryHarmonic Minor
Scale 2479Scale 2479: Harmonic and Neapolitan Minor Mixed, Ian Ring Music TheoryHarmonic and Neapolitan Minor Mixed
Scale 2467Scale 2467: Raga Padi, Ian Ring Music TheoryRaga Padi
Scale 2471Scale 2471: Mela Ganamurti, Ian Ring Music TheoryMela Ganamurti
Scale 2483Scale 2483: Double Harmonic, Ian Ring Music TheoryDouble Harmonic
Scale 2491Scale 2491: Layllic, Ian Ring Music TheoryLayllic
Scale 2443Scale 2443: Panimic, Ian Ring Music TheoryPanimic
Scale 2459Scale 2459: Ionocrian, Ian Ring Music TheoryIonocrian
Scale 2507Scale 2507: Todi That, Ian Ring Music TheoryTodi That
Scale 2539Scale 2539: Half-Diminished Bebop, Ian Ring Music TheoryHalf-Diminished Bebop
Scale 2347Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
Scale 2411Scale 2411: Aeolorian, Ian Ring Music TheoryAeolorian
Scale 2219Scale 2219: Phrydimic, Ian Ring Music TheoryPhrydimic
Scale 2731Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
Scale 2987Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed
Scale 3499Scale 3499: Hamel, Ian Ring Music TheoryHamel
Scale 427Scale 427: Raga Suddha Simantini, Ian Ring Music TheoryRaga Suddha Simantini
Scale 1451Scale 1451: Phrygian, Ian Ring Music TheoryPhrygian

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.