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Scale 435: "Raga Purna Pancama"

Scale 435: Raga Purna Pancama, 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

Carnatic Raga
Raga Purna Pancama
Unknown / Unsorted
Malahari
Geyahejjajji
Kannadabangala
Zeitler
Ionolimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,5,7,8}
Forte Number6-Z19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2481
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 411
Deep Scaleno
Interval Vector313431
Interval Spectrump3m4n3sd3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5}
<3> = {4,5,6,7,8}
<4> = {7,8,9}
<5> = {8,9,10,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

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}231.5
C♯{1,5,8}231.5
Minor Triadsc♯m{1,4,8}321.17
fm{5,8,0}231.5
Augmented TriadsC+{0,4,8}321.17
Diminished Triadsc♯°{1,4,7}231.5
Parsimonious Voice Leading Between Common Triads of Scale 435. Created by Ian Ring ©2019 C C C+ C+ C->C+ c#° c#° C->c#° c#m c#m C+->c#m fm fm C+->fm c#°->c#m C# C# c#m->C# C#->fm

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♯m
Peripheral VerticesC, c♯°, C♯, fm

Modes

Modes are the rotational transformation of this scale. Scale 435 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2265
Scale 2265: Raga Rasamanjari, Ian Ring Music TheoryRaga Rasamanjari
3rd mode:
Scale 795
Scale 795: Aeologimic, Ian Ring Music TheoryAeologimic
4th mode:
Scale 2445
Scale 2445: Zadimic, Ian Ring Music TheoryZadimic
5th mode:
Scale 1635
Scale 1635: Sygimic, Ian Ring Music TheorySygimic
6th mode:
Scale 2865
Scale 2865: Solimic, Ian Ring Music TheorySolimic

Prime

The prime form of this scale is Scale 411

Scale 411Scale 411: Lygimic, Ian Ring Music TheoryLygimic

Complement

The hexatonic modal family [435, 2265, 795, 2445, 1635, 2865] (Forte: 6-Z19) is the complement of the hexatonic modal family [615, 825, 915, 2355, 2505, 3225] (Forte: 6-Z44)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 435 is 2481

Scale 2481Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 435 is chiral, and its enantiomorph is scale 2481

Scale 2481Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju

Transformations:

T0 435  T0I 2481
T1 870  T1I 867
T2 1740  T2I 1734
T3 3480  T3I 3468
T4 2865  T4I 2841
T5 1635  T5I 1587
T6 3270  T6I 3174
T7 2445  T7I 2253
T8 795  T8I 411
T9 1590  T9I 822
T10 3180  T10I 1644
T11 2265  T11I 3288

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 433Scale 433: Raga Zilaf, Ian Ring Music TheoryRaga Zilaf
Scale 437Scale 437: Ronimic, Ian Ring Music TheoryRonimic
Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian
Scale 443Scale 443: Kothian, Ian Ring Music TheoryKothian
Scale 419Scale 419: Hon-kumoi-joshi, Ian Ring Music TheoryHon-kumoi-joshi
Scale 427Scale 427: Raga Suddha Simantini, Ian Ring Music TheoryRaga Suddha Simantini
Scale 403Scale 403: Raga Reva, Ian Ring Music TheoryRaga Reva
Scale 467Scale 467: Raga Dhavalangam, Ian Ring Music TheoryRaga Dhavalangam
Scale 499Scale 499: Ionaptian, Ian Ring Music TheoryIonaptian
Scale 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani
Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic
Scale 179Scale 179, Ian Ring Music Theory
Scale 691Scale 691: Raga Kalavati, Ian Ring Music TheoryRaga Kalavati
Scale 947Scale 947: Mela Gayakapriya, Ian Ring Music TheoryMela Gayakapriya
Scale 1459Scale 1459: Phrygian Dominant, Ian Ring Music TheoryPhrygian Dominant
Scale 2483Scale 2483: Double Harmonic, Ian Ring Music TheoryDouble Harmonic

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.