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Scale 2485: "Harmonic Major"

Scale 2485: Harmonic Major, Ian Ring Music Theory

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
Harmonic Major
Carnatic Mela
Mela Sarasangi
Carnatic Raga
Raga Haripriya
Unknown / Unsorted
Simhavahini
Mischung 2
Tabahaniotikos
Exoticisms
Ethiopian
Zeitler
Aerorian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,4,5,7,8,11}
Forte Number7-32
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1459
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes6
Prime?no
prime: 859
Deep Scaleno
Interval Vector335442
Interval Spectrump4m4n5s3d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {8,9}
<6> = {9,10,11}
Spectra Variation1.429
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicyes

Harmonic Chords

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsC{0,4,7}232
E{4,8,11}431.6
G{7,11,2}331.8
Minor Triadsem{4,7,11}331.7
fm{5,8,0}331.8
Augmented TriadsC+{0,4,8}331.7
Diminished Triads{2,5,8}232
{5,8,11}231.9
g♯°{8,11,2}231.9
{11,2,5}232
Parsimonious Voice Leading Between Common Triads of Scale 2485. Created by Ian Ring ©2019 C C C+ C+ C->C+ em em C->em E E C+->E fm fm C+->fm d°->fm d°->b° em->E Parsimonious Voice Leading Between Common Triads of Scale 2485. Created by Ian Ring ©2019 G em->G E->f° g#° g#° E->g#° f°->fm G->g#° G->b°

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Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter3
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2485 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1645
Scale 1645: Dorian Flat 5, Ian Ring Music TheoryDorian Flat 5
3rd mode:
Scale 1435
Scale 1435: Makam Huzzam, Ian Ring Music TheoryMakam Huzzam
4th mode:
Scale 2765
Scale 2765: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
5th mode:
Scale 1715
Scale 1715: Harmonic Minor Inverse, Ian Ring Music TheoryHarmonic Minor Inverse
6th mode:
Scale 2905
Scale 2905: Aeolian Flat 1, Ian Ring Music TheoryAeolian Flat 1
7th mode:
Scale 875
Scale 875: Locrian Double-flat 7, Ian Ring Music TheoryLocrian Double-flat 7

Prime

The prime form of this scale is Scale 859

Scale 859Scale 859: Ultralocrian, Ian Ring Music TheoryUltralocrian

Complement

The heptatonic modal family [2485, 1645, 1435, 2765, 1715, 2905, 875] (Forte: 7-32) is the complement of the pentatonic modal family [595, 665, 805, 1225, 2345] (Forte: 5-32)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2485 is 1459

Scale 1459Scale 1459: Phrygian Dominant, Ian Ring Music TheoryPhrygian Dominant

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2485 is chiral, and its enantiomorph is scale 1459

Scale 1459Scale 1459: Phrygian Dominant, Ian Ring Music TheoryPhrygian Dominant

Transformations:

T0 2485  T0I 1459
T1 875  T1I 2918
T2 1750  T2I 1741
T3 3500  T3I 3482
T4 2905  T4I 2869
T5 1715  T5I 1643
T6 3430  T6I 3286
T7 2765  T7I 2477
T8 1435  T8I 859
T9 2870  T9I 1718
T10 1645  T10I 3436
T11 3290  T11I 2777

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 2487Scale 2487: Dothyllic, Ian Ring Music TheoryDothyllic
Scale 2481Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju
Scale 2483Scale 2483: Double Harmonic, Ian Ring Music TheoryDouble Harmonic
Scale 2489Scale 2489: Mela Gangeyabhusani, Ian Ring Music TheoryMela Gangeyabhusani
Scale 2493Scale 2493: Manyllic, Ian Ring Music TheoryManyllic
Scale 2469Scale 2469: Raga Bhinna Pancama, Ian Ring Music TheoryRaga Bhinna Pancama
Scale 2477Scale 2477: Harmonic Minor, Ian Ring Music TheoryHarmonic Minor
Scale 2453Scale 2453: Raga Latika, Ian Ring Music TheoryRaga Latika
Scale 2517Scale 2517: Harmonic Lydian, Ian Ring Music TheoryHarmonic Lydian
Scale 2549Scale 2549: Rydyllic, Ian Ring Music TheoryRydyllic
Scale 2357Scale 2357: Raga Sarasanana, Ian Ring Music TheoryRaga Sarasanana
Scale 2421Scale 2421: Malian, Ian Ring Music TheoryMalian
Scale 2229Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
Scale 2741Scale 2741: Major, Ian Ring Music TheoryMajor
Scale 2997Scale 2997: Major Bebop, Ian Ring Music TheoryMajor Bebop
Scale 3509Scale 3509: Stogyllic, Ian Ring Music TheoryStogyllic
Scale 437Scale 437: Ronimic, Ian Ring Music TheoryRonimic
Scale 1461Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.