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Scale 2515: "Chromatic Hypolydian"

Scale 2515: Chromatic Hypolydian, 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

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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 Chromatic
Chromatic Hypolydian
Hindustani
Purvi That
Purvi Theta
Carnatic Mela
Mela Kamavardhani
Carnatic Raga
Raga Shri
Unknown / Unsorted
Pantuvarali
Basant
Kasiramakriya
Suddharamakriya
Puriya Dhanashri
Dhipaka
Pireotikos
Zeitler
Stylian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,4,6,7,8,11}
Forte Number7-20
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2419
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes6
Prime?no
prime: 743
Deep Scaleno
Interval Vector433452
Interval Spectrump5m4n3s3d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
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}321.17
E{4,8,11}231.5
Minor Triadsc♯m{1,4,8}231.5
em{4,7,11}231.5
Augmented TriadsC+{0,4,8}321.17
Diminished Triadsc♯°{1,4,7}231.5
Parsimonious Voice Leading Between Common Triads of Scale 2515. Created by Ian Ring ©2019 C C C+ C+ C->C+ c#° c#° C->c#° em em C->em c#m c#m C+->c#m E E C+->E c#°->c#m em->E

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
Radius2
Self-Centeredno
Central VerticesC, C+
Peripheral Verticesc♯°, c♯m, em, E

Modes

Modes are the rotational transformation of this scale. Scale 2515 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3305
Scale 3305: Chromatic Hypophrygian, Ian Ring Music TheoryChromatic Hypophrygian
3rd mode:
Scale 925
Scale 925: Chromatic Hypodorian, Ian Ring Music TheoryChromatic Hypodorian
4th mode:
Scale 1255
Scale 1255: Chromatic Mixolydian, Ian Ring Music TheoryChromatic Mixolydian
5th mode:
Scale 2675
Scale 2675: Chromatic Lydian, Ian Ring Music TheoryChromatic Lydian
6th mode:
Scale 3385
Scale 3385: Chromatic Phrygian, Ian Ring Music TheoryChromatic Phrygian
7th mode:
Scale 935
Scale 935: Chromatic Dorian, Ian Ring Music TheoryChromatic Dorian

Prime

The prime form of this scale is Scale 743

Scale 743Scale 743: Chromatic Hypophrygian Inverse, Ian Ring Music TheoryChromatic Hypophrygian Inverse

Complement

The heptatonic modal family [2515, 3305, 925, 1255, 2675, 3385, 935] (Forte: 7-20) is the complement of the pentatonic modal family [355, 395, 1585, 2225, 2245] (Forte: 5-20)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2515 is 2419

Scale 2419Scale 2419: Raga Lalita, Ian Ring Music TheoryRaga Lalita

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2515 is chiral, and its enantiomorph is scale 2419

Scale 2419Scale 2419: Raga Lalita, Ian Ring Music TheoryRaga Lalita

Transformations:

T0 2515  T0I 2419
T1 935  T1I 743
T2 1870  T2I 1486
T3 3740  T3I 2972
T4 3385  T4I 1849
T5 2675  T5I 3698
T6 1255  T6I 3301
T7 2510  T7I 2507
T8 925  T8I 919
T9 1850  T9I 1838
T10 3700  T10I 3676
T11 3305  T11I 3257

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 2513Scale 2513: Aerycrimic, Ian Ring Music TheoryAerycrimic
Scale 2517Scale 2517: Harmonic Lydian, Ian Ring Music TheoryHarmonic Lydian
Scale 2519Scale 2519: Dathyllic, Ian Ring Music TheoryDathyllic
Scale 2523Scale 2523: Mirage Scale, Ian Ring Music TheoryMirage Scale
Scale 2499Scale 2499, Ian Ring Music Theory
Scale 2507Scale 2507: Todi That, Ian Ring Music TheoryTodi That
Scale 2531Scale 2531: Danian, Ian Ring Music TheoryDanian
Scale 2547Scale 2547: Raga Ramkali, Ian Ring Music TheoryRaga Ramkali
Scale 2451Scale 2451: Raga Bauli, Ian Ring Music TheoryRaga Bauli
Scale 2483Scale 2483: Double Harmonic, Ian Ring Music TheoryDouble Harmonic
Scale 2387Scale 2387: Paptimic, Ian Ring Music TheoryPaptimic
Scale 2259Scale 2259: Raga Mandari, Ian Ring Music TheoryRaga Mandari
Scale 2771Scale 2771: Marva That, Ian Ring Music TheoryMarva That
Scale 3027Scale 3027: Rythyllic, Ian Ring Music TheoryRythyllic
Scale 3539Scale 3539: Aeoryllic, Ian Ring Music TheoryAeoryllic
Scale 467Scale 467: Raga Dhavalangam, Ian Ring Music TheoryRaga Dhavalangam
Scale 1491Scale 1491: Mela Namanarayani, Ian Ring Music TheoryMela Namanarayani

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.