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Scale 2481: "Raga Paraju"

Scale 2481: Raga Paraju, 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 Paraju
Raga Paraz
Raga Pharas
Unknown / Unsorted
Ramamanohari
Sindhu Ramakriya
Kamalamanohari
Zeitler
Laptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,5,7,8,11}
Forte Number6-Z19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 435
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
E{4,8,11}321.17
Minor Triadsem{4,7,11}231.5
fm{5,8,0}231.5
Augmented TriadsC+{0,4,8}321.17
Diminished Triads{5,8,11}231.5
Parsimonious Voice Leading Between Common Triads of Scale 2481. Created by Ian Ring ©2019 C C C+ C+ C->C+ em em C->em E E C+->E fm fm C+->fm em->E E->f° f°->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+, E
Peripheral VerticesC, em, f°, fm

Modes

Modes are the rotational transformation of this scale. Scale 2481 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 411
Scale 411: Lygimic, Ian Ring Music TheoryLygimicThis is the prime mode
3rd mode:
Scale 2253
Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya
4th mode:
Scale 1587
Scale 1587: Raga Rudra Pancama, Ian Ring Music TheoryRaga Rudra Pancama
5th mode:
Scale 2841
Scale 2841: Sothimic, Ian Ring Music TheorySothimic
6th mode:
Scale 867
Scale 867: Phrocrimic, Ian Ring Music TheoryPhrocrimic

Prime

The prime form of this scale is Scale 411

Scale 411Scale 411: Lygimic, Ian Ring Music TheoryLygimic

Complement

The hexatonic modal family [2481, 411, 2253, 1587, 2841, 867] (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 2481 is 435

Scale 435Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama

Enantiomorph

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

Scale 435Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama

Transformations:

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

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 2483Scale 2483: Double Harmonic, Ian Ring Music TheoryDouble Harmonic
Scale 2485Scale 2485: Harmonic Major, Ian Ring Music TheoryHarmonic Major
Scale 2489Scale 2489: Mela Gangeyabhusani, Ian Ring Music TheoryMela Gangeyabhusani
Scale 2465Scale 2465: Raga Devaranjani, Ian Ring Music TheoryRaga Devaranjani
Scale 2473Scale 2473: Raga Takka, Ian Ring Music TheoryRaga Takka
Scale 2449Scale 2449: Zacritonic, Ian Ring Music TheoryZacritonic
Scale 2513Scale 2513: Aerycrimic, Ian Ring Music TheoryAerycrimic
Scale 2545Scale 2545: Thycrian, Ian Ring Music TheoryThycrian
Scale 2353Scale 2353: Raga Girija, Ian Ring Music TheoryRaga Girija
Scale 2417Scale 2417: Kanimic, Ian Ring Music TheoryKanimic
Scale 2225Scale 2225: Ionian Pentatonic, Ian Ring Music TheoryIonian Pentatonic
Scale 2737Scale 2737: Raga Hari Nata, Ian Ring Music TheoryRaga Hari Nata
Scale 2993Scale 2993: Stythian, Ian Ring Music TheoryStythian
Scale 3505Scale 3505: Stygian, Ian Ring Music TheoryStygian
Scale 433Scale 433: Raga Zilaf, Ian Ring Music TheoryRaga Zilaf
Scale 1457Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari

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.