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Scale 1587: "Raga Rudra Pancama"

Scale 1587: Raga Rudra 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

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

Carnatic Raga
Raga Rudra Pancama
Zeitler
Lalimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,5,9,10}
Forte Number6-Z19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2445
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 TriadsF{5,9,0}231.5
A{9,1,4}321.17
Minor Triadsam{9,0,4}231.5
a♯m{10,1,5}231.5
Augmented TriadsC♯+{1,5,9}321.17
Diminished Triadsa♯°{10,1,4}231.5
Parsimonious Voice Leading Between Common Triads of Scale 1587. Created by Ian Ring ©2019 C#+ C#+ F F C#+->F A A C#+->A a#m a#m C#+->a#m am am F->am am->A a#° a#° A->a#° a#°->a#m

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♯+, A
Peripheral VerticesF, am, a♯°, a♯m

Modes

Modes are the rotational transformation of this scale. Scale 1587 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2841
Scale 2841: Sothimic, Ian Ring Music TheorySothimic
3rd mode:
Scale 867
Scale 867: Phrocrimic, Ian Ring Music TheoryPhrocrimic
4th mode:
Scale 2481
Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju
5th mode:
Scale 411
Scale 411: Lygimic, Ian Ring Music TheoryLygimicThis is the prime mode
6th mode:
Scale 2253
Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya

Prime

The prime form of this scale is Scale 411

Scale 411Scale 411: Lygimic, Ian Ring Music TheoryLygimic

Complement

The hexatonic modal family [1587, 2841, 867, 2481, 411, 2253] (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 1587 is 2445

Scale 2445Scale 2445: Zadimic, Ian Ring Music TheoryZadimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1587 is chiral, and its enantiomorph is scale 2445

Scale 2445Scale 2445: Zadimic, Ian Ring Music TheoryZadimic

Transformations:

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

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 1585Scale 1585: Raga Khamaji Durga, Ian Ring Music TheoryRaga Khamaji Durga
Scale 1589Scale 1589: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
Scale 1591Scale 1591: Rodian, Ian Ring Music TheoryRodian
Scale 1595Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
Scale 1571Scale 1571: Lagitonic, Ian Ring Music TheoryLagitonic
Scale 1579Scale 1579: Sagimic, Ian Ring Music TheorySagimic
Scale 1555Scale 1555, Ian Ring Music Theory
Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 1651Scale 1651: Asian, Ian Ring Music TheoryAsian
Scale 1715Scale 1715: Harmonic Minor Inverse, Ian Ring Music TheoryHarmonic Minor Inverse
Scale 1843Scale 1843: Ionygian, Ian Ring Music TheoryIonygian
Scale 1075Scale 1075, Ian Ring Music Theory
Scale 1331Scale 1331: Raga Vasantabhairavi, Ian Ring Music TheoryRaga Vasantabhairavi
Scale 563Scale 563: Thacritonic, Ian Ring Music TheoryThacritonic
Scale 2611Scale 2611: Raga Vasanta, Ian Ring Music TheoryRaga Vasanta
Scale 3635Scale 3635: Katygian, Ian Ring Music TheoryKatygian

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.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.